Chainer – A flexible framework of neural networks¶
Chainer is a powerful, flexible and intuitive deep learning framework.
- Chainer supports CUDA computation. It only requires a few lines of code to leverage a GPU. It also runs on multiple GPUs with little effort.
- Chainer supports various network architectures including feed-forward nets, convnets, recurrent nets and recursive nets. It also supports per-batch architectures.
- Forward computation can include any control flow statements of Python without lacking the ability of backpropagation. It makes code intuitive and easy to debug.
Installation¶
Recommended Environments¶
We recommend the following Linux distributions.
Note
We are automatically testing Chainer on all the recommended environments above. We cannot guarantee that Chainer works on other environments including Windows and macOS (especially with CUDA support), even if Chainer may seem to be running correctly.
Requirements¶
You need to have the following components to use Chainer.
- Python
- Supported Versions: 2.7.6+, 3.4.3+, 3.5.1+ and 3.6.0+.
- NumPy
- Supported Versions: 1.9, 1.10, 1.11, 1.12 and 1.13.
- NumPy will be installed automatically during the installation of Chainer.
Before installing Chainer, we recommend you to upgrade setuptools
and pip
:
$ pip install -U setuptools pip
Hardware Acceleration Support¶
You can accelerate performance of Chainer by installing the following optional components.
- NVIDIA CUDA / cuDNN
- CuPy 4.0+
- See CuPy Installation Guide for instructions.
- Intel CPU (experimental)
- iDeep 1.0.3+
- See Tips and FAQs for instructions.
Optional Features¶
The following packages are optional dependencies. Chainer can be installed without them, in which case the corresponding features are not available.
Install Chainer¶
Using pip¶
We recommend to install Chainer via pip:
$ pip install chainer
Note
Any optional dependencies (including CuPy) can be added after installing Chainer. Chainer automatically detects the available packages and enables/disables the optional features appropriately.
Using Tarball¶
The tarball of the source tree is available via pip download chainer
or from the release notes page.
You can install Chainer from the tarball:
$ pip install chainer-x.x.x.tar.gz
You can also install the development version of Chainer from a cloned Git repository:
$ git clone https://github.com/chainer/chainer.git
$ cd chainer
$ pip install .
Enable CUDA/cuDNN support¶
In order to enable CUDA support, you have to install CuPy manually. If you also want to use cuDNN, you have to install CuPy with cuDNN support. See CuPy’s installation guide to install CuPy. Once CuPy is correctly set up, Chainer will automatically enable CUDA support.
You can refer to the following flags to confirm if CUDA/cuDNN support is actually available.
chainer.backends.cuda.available
True
if Chainer successfully importscupy
.chainer.backends.cuda.cudnn_enabled
True
if cuDNN support is available.
Uninstall Chainer¶
Use pip to uninstall Chainer:
$ pip uninstall chainer
Note
When you upgrade Chainer, pip
sometimes install the new version without removing the old one in site-packages
.
In this case, pip uninstall
only removes the latest one.
To ensure that Chainer is completely removed, run the above command repeatedly until pip
returns an error.
Reinstall Chainer¶
If you want to reinstall Chainer, please uninstall Chainer and then install it.
We recommend to use --no-cache-dir
option as pip
sometimes uses cache:
$ pip uninstall chainer
$ pip install chainer --no-cache-dir
Run Chainer with Docker¶
We are providing the official Docker image. Use nvidia-docker command to run Chainer image with GPU. You can login to the environment with bash, and run the Python interpreter:
$ nvidia-docker run -it chainer/chainer /bin/bash
Or run the interpreter directly:
$ nvidia-docker run -it chainer/chainer /usr/bin/python
FAQ¶
Warning message “cuDNN is not enabled” appears¶
You failed to build CuPy with cuDNN.
If you don’t need cuDNN, ignore this message.
Otherwise, retry to install CuPy with cuDNN.
pip install -vvvv
option helps you.
There is no need of re-installing Chainer itself.
See CuPy’s installation guide for more details.
CuPy always raises cupy.cuda.compiler.CompileException
¶
See FAQ section of CuPy’s installation guide for details.
h5py installation failed¶
If the installation failed with error saying hdf5.h is not found
, you need to install libhdf5
first.
The way to install it depends on your environment:
# Ubuntu 14.04/16.04
$ apt-get install libhdf5-dev
# CentOS 7
$ yum -y install epel-release
$ yum install hdf5-devel
Note that h5py
is not required unless you need HDF5 serialization support.
Guides¶
Define-by-Run¶
As mentioned on the top page, Chainer is a flexible framework for neural networks. One major goal is flexibility, so it must enable us to write complex architectures simply and intuitively.
Most existing deep learning frameworks are based on the “Define-and-Run” scheme. That is, first a network is defined and fixed, and then the user periodically feeds it with mini-batches of training data. Since the network is statically defined before any forward/backward computation, all the logic must be embedded into the network architecture as data. Consequently, defining a network architecture in such systems (e.g. Caffe) follows a declarative approach. Note that one can still produce such a static network definition using imperative languages (e.g. torch.nn, Theano-based frameworks, and TensorFlow).
In contrast, Chainer adopts a “Define-by-Run” scheme, i.e., the network is defined dynamically via the actual forward computation. More precisely, Chainer stores the history of computation instead of programming logic. This strategy enables us to fully leverage the power of programming logic in Python. For example, Chainer does not need any magic to introduce conditionals and loops into the network definitions. The Define-by-Run scheme is the core concept of Chainer. We will show in this tutorial how to define networks dynamically.
This strategy also makes it easy to write multi-GPU parallelization, since logic comes closer to network manipulation. We will review such amenities in later sections of this tutorial.
Variables and Derivatives¶
In the example code of this tutorial, we assume for simplicity that the following symbols are already imported.
import numpy as np
import chainer
from chainer.backends import cuda
from chainer import Function, gradient_check, report, training, utils, Variable
from chainer import datasets, iterators, optimizers, serializers
from chainer import Link, Chain, ChainList
import chainer.functions as F
import chainer.links as L
from chainer.training import extensions
As described previously, Chainer uses the “Define-by-Run” scheme, so forward computation itself defines the network.
In order to start forward computation, we have to set the input array to a Variable
object.
Here we start with a simple ndarray
with only one element:
>>> x_data = np.array([5], dtype=np.float32)
>>> x = Variable(x_data)
A Variable object has basic arithmetic operators. In order to compute \(y = x^2 - 2x + 1\), just write:
>>> y = x**2 - 2 * x + 1
The resulting y
is also a Variable object, whose value can be extracted by accessing the data
attribute:
>>> y.data
array([16.], dtype=float32)
What y
holds is not only the result value.
It also holds the history of computation (or computational graph), which enables us to compute its derivative.
This is done by calling its backward()
method:
>>> y.backward()
This runs error backpropagation (a.k.a. backprop or reverse-mode automatic differentiation).
Then, the gradient is computed and stored in the grad
attribute of the input variable x
:
>>> x.grad
array([8.], dtype=float32)
Also we can compute gradients of intermediate variables.
Note that Chainer, by default, releases the gradient arrays of intermediate variables for memory efficiency.
In order to preserve gradient information, pass the retain_grad
argument to the backward method:
>>> z = 2*x
>>> y = x**2 - z + 1
>>> y.backward(retain_grad=True)
>>> z.grad
array([-1.], dtype=float32)
All these computations are can be generalized to a multi-element array input.
While single-element arrays are automatically initialized to [1]
, to start backward computation from a variable holding a multi-element array, we must set the initial error manually.
This is done simply by setting the grad
attribute of the output variable:
>>> x = Variable(np.array([[1, 2, 3], [4, 5, 6]], dtype=np.float32))
>>> y = x**2 - 2*x + 1
>>> y.grad = np.ones((2, 3), dtype=np.float32)
>>> y.backward()
>>> x.grad
array([[ 0., 2., 4.],
[ 6., 8., 10.]], dtype=float32)
Note
Many functions taking Variable
object(s) are defined in the functions
module.
You can combine them to realize complicated functions with automatic backward computation.
Links¶
In order to write neural networks, we have to combine functions with parameters and optimize the parameters.
You can use the class Link
to do this.
A Link
is an object that holds parameters (i.e. optimization targets).
The most fundamental ones are links that behave like regular functions while replacing some arguments by their parameters. We will introduce higher level links, but here think of links as simply functions with parameters.
One of the most frequently used links is the Linear
link (a.k.a. fully-connected layer or affine transformation).
It represents a mathematical function \(f(x) = Wx + b\), where the matrix \(W\) and the vector \(b\) are parameters.
This link corresponds to its pure counterpart linear()
, which accepts \(x, W, b\) as arguments.
A linear link from three-dimensional space to two-dimensional space is defined by the following line:
>>> f = L.Linear(3, 2)
Note
Most functions and links only accept mini-batch input, where the first dimension of the input array is considered as the batch dimension. In the above Linear link case, input must have shape of \((N, 3)\), where \(N\) is the mini-batch size.
The parameters of a link are stored as attributes.
Each parameter is an instance of Variable
.
In the case of the Linear link, two parameters, W
and b
, are stored.
By default, the matrix W
is initialized randomly, while the vector b
is initialized with zeros.
This is the preferred way to initialize these parameters.
>>> f.W.data
array([[ 1.0184761 , 0.23103087, 0.5650746 ],
[ 1.2937803 , 1.0782351 , -0.56423163]], dtype=float32)
>>> f.b.data
array([0., 0.], dtype=float32)
An instance of the Linear link acts like a usual function:
>>> x = Variable(np.array([[1, 2, 3], [4, 5, 6]], dtype=np.float32))
>>> y = f(x)
>>> y.data
array([[3.1757617, 1.7575557],
[8.619507 , 7.1809077]], dtype=float32)
Note
Sometimes it is cumbersome to compute the dimension of the input space. The linear link and some of (de)convolution links can omit the input dimension in their instantiation and infer it from the first mini-batch.
For example, the following line creates a linear link whose output dimension is two:
>>> f = L.Linear(2)
If we feed a mini-batch of shape \((2, M)\), the input dimension will be inferred as M
,
which means l.W
will be a 2 x M matrix.
Note that its parameters are initialized in a lazy manner at the first mini-batch.
Therefore, l
does not have W
attribute if no data is put to the link.
Gradients of parameters are computed by the backward()
method.
Note that gradients are accumulated by the method rather than overwritten.
So first you must clear the gradients to renew the computation.
It can be done by calling the cleargrads()
method.
>>> f.cleargrads()
Note
cleargrads()
is introduced in v1.15 to replace zerograds()
for efficiency.
zerograds()
is left only for backward compatibility.
Now we can compute the gradients of parameters by simply calling the backward method and access them via the grad
property.
>>> y.grad = np.ones((2, 2), dtype=np.float32)
>>> y.backward()
>>> f.W.grad
array([[5., 7., 9.],
[5., 7., 9.]], dtype=float32)
>>> f.b.grad
array([2., 2.], dtype=float32)
Define your own function¶
In this section, you will learn about the following things:
- How to define a function on variables
- Useful tools to write a function using a GPU
- How to test the function definition
After reading this section, you will be able to:
- Write your own functions
- Define simple kernels in the function definition
In the example code of this tutorial, we assume for simplicity that the following symbols are already imported.
import numpy as np
import chainer
from chainer.backends import cuda
from chainer import Function, gradient_check, report, training, utils, Variable
from chainer import datasets, iterators, optimizers, serializers
from chainer import Link, Chain, ChainList
import chainer.functions as F
import chainer.links as L
from chainer.training import extensions
Differentiable Functions¶
Chainer provides a collection of functions in the chainer.functions
module.
It covers typical use cases in deep learning, so many existing works can be implemented with them.
On the other hand, deep learning is evolving rapidly and we cannot cover all possible functions to define unseen architectures.
So it is important to learn how to define your own functions.
First, suppose we want to define an elementwise function \(f(x, y, z) = x * y + z\).
While it is possible to implement this equation using a combination of the *
and +
functions,
defining it as a single function may reduce memory consumption, so it is not only a toy example.
Here we call this function MulAdd.
Let’s start with defining MulAdd working on the CPU.
Any function must inherit the Function
class.
The skeleton of a function looks like:
class MulAdd(Function):
def forward_cpu(self, inputs):
# do forward computation on CPU
return some_tuple
def backward_cpu(self, inputs, grad_outputs):
# do backward computation on CPU
return some_tuple
We must implement forward_cpu()
and backward_cpu()
methods.
The non-self arguments of these functions are tuples of array(s), and these functions must return a tuple of array(s).
Warning
Be careful to return a tuple of arrays even if you have just one array to return.
MulAdd is simple and implemented as follows
class MulAdd(Function):
def forward_cpu(self, inputs):
x, y, z = inputs
w = x * y + z
return w,
def backward_cpu(self, inputs, grad_outputs):
x, y, z = inputs
gw, = grad_outputs
gx = y * gw
gy = x * gw
gz = gw
return gx, gy, gz
As per the warning above, the forward_cpu
method returns a tuple of single element.
Note that all arrays appearing in CPU functions are numpy.ndarray
.
The forward function is straightforward:
It unpacks the input tuple, computes the output, and packs it into a tuple.
The backward function is a bit more complicated.
Recall the rule of differentiation of multiplication.
This example just implements the rule.
Look at the return values, the function just packs the gradient of each input in same order and returns them.
By just defining the core computation of forward and backward, Function class provides a chaining logic on it (i.e. storing the history of computation, etc.).
Note
Assuming we implement a (forward) function \(y=f(x)\) which takes as input the
vector \(x \in \mathbb{R}^n\) and produces as output a vector
\(y \in \mathbb{R}^m\). Then the backward
method has to compute
where \(\gamma\) is the grad_outputs
. Note, that the
resulting vector \(\lambda\) must have the same shape as the arguments of the forward
method.
Now let’s define the corresponding GPU methods.
You can easily predict that the methods we have to write are named forward_gpu()
and backward_gpu()
:
class MulAdd(Function):
def forward_cpu(self, inputs):
...
def backward_cpu(self, inputs, grad_outputs):
...
def forward_gpu(self, inputs):
x, y, z = inputs
w = x * y + z
return w,
def backward_gpu(self, inputs, grad_outputs):
x, y, z = inputs
gw, = grad_outputs
gx = y * gw
gy = x * gw
gz = gw
return gx, gy, gz
In GPU methods, arrays are of type cupy.ndarray
.
We use arithmetic operators defined for this class.
These operators implement the basic elementwise arithmetics.
You may find that the definitions of GPU methods are exactly same as those of CPU methods.
In that case, we can reduce them to forward()
and backward()
methods
class MulAdd(Function):
def forward(self, inputs):
x, y, z = inputs
w = x * y + z
return w,
def backward(self, inputs, grad_outputs):
x, y, z = inputs
gw, = grad_outputs
gx = y * gw
gy = x * gw
gz = gw
return gx, gy, gz
Since the cupy.ndarray
class implements many methods of numpy.ndarray
, we can write these unified methods in most cases.
The MulAdd function is used as follows:
x = Variable(np.random.uniform(-1, 1, (3, 2)).astype(np.float32))
y = Variable(np.random.uniform(-1, 1, (3, 2)).astype(np.float32))
z = Variable(np.random.uniform(-1, 1, (3, 2)).astype(np.float32))
w = MulAdd()(x, y, z)
It looks a bit ugly: we have to explicitly instantiate MulAdd before applying it to variables. We also have to be careful that one instance of MulAdd must not be used multiple times, since it acts as a node in the computational graph. In Chainer, we often define a thin wrapper Python function that hide the instantiation:
def muladd(x, y, z):
return MulAdd()(x, y, z)
w = muladd(x, y, z)
Unified forward/backward methods with NumPy/CuPy functions¶
CuPy also implements many functions that are compatible to those of NumPy. We can write unified forward/backward methods with them. Consider that we want to write a backprop-able function \(f(x, y) = \exp(x) + \exp(y)\). We name it ExpAdd here. It can be written straight-forward as follows
from chainer.backends import cuda
class ExpAdd(Function):
def forward_cpu(self, inputs):
x, y = inputs
z = np.exp(x) + np.exp(y)
return z,
def backward_cpu(self, inputs, grad_outputs):
x, y = inputs
gz, = grad_outputs
gx = gz * np.exp(x)
gy = gz * np.exp(y)
return gx, gy
def forward_gpu(self, inputs):
cupy = cuda.cupy
x, y = inputs
z = cupy.exp(x) + cupy.exp(y)
return z,
def backward_gpu(self, inputs, grad_outputs):
cupy = cuda.cupy
x, y = inputs
gz, = grad_outputs
gx = gz * cupy.exp(x)
gy = gz * cupy.exp(y)
return gx, gy
def expadd(x, y):
return ExpAdd()(x, y)
Note
Here we used cuda.cupy
instead of directly accessing cupy
.
This is because the cupy
module cannot be imported if the CUDA is not installed.
In order to keep the implementation valid in non-CUDA environment, we have to defer the access to the cupy
module.
Note that the chainer.backends.cuda
module can be imported even if the CUDA is not installed.
Of course, the module in such environment is almost useless, but if the interpreter does not run through the code accessing CUDA-dedicated functions, the code is still valid.
The CPU and GPU implementations are almost same, except that numpy
is replaced by cupy
in GPU methods.
We can unify these functions using the chainer.backends.cuda.get_array_module()
function.
This function accepts arbitrary number of arrays, and returns an appropriate module for them.
See the following code
class ExpAdd(Function):
def forward(self, inputs):
xp = cuda.get_array_module(*inputs)
x, y = inputs
z = xp.exp(x) + xp.exp(y)
return z,
def backward(self, inputs, grad_outputs):
xp = cuda.get_array_module(*inputs)
x, y = inputs
gz, = grad_outputs
gx = gz * xp.exp(x)
gy = gz * xp.exp(y)
return gx, gy
def expadd(x, y):
return ExpAdd()(x, y)
Note that this code works correctly even if CUDA is not installed in the environment.
If CUDA is not found, get_array_module function always returns numpy
.
We often use the name xp
for the variadic module name, which is analogous to the abbreviation np
for NumPy and cp
for CuPy.
Write an Elementwise Kernel Function¶
Let’s turn back to the MulAdd example.
The GPU implementation of MulAdd as shown above is already fast and parallelized on GPU cores. However, it invokes two kernels during each of forward and backward computations. It might hurt performance, since the intermediate temporary arrays are read and written by possibly different GPU cores, which consumes much bandwidth. We can reduce the number of invocations by defining our own kernel. It also reduce the memory consumption.
Most functions only require elementwise operations like MulAdd.
CuPy provides a useful tool to define elementwise kernels, the cupy.elementwise.ElementwiseKernel
class, and Chainer wraps it by cuda.elementwise()
function.
Our MulAdd implementation can be improved as follows:
class MulAdd(Function):
def forward_cpu(self, inputs):
...
def backward_cpu(self, inputs, grad_outputs):
...
def forward_gpu(self, inputs):
cupy = cuda.cupy
x, y, z = inputs
w = cuda.elementwise(
'float32 x, float32 y, float32 z',
'float32 w',
'w = x * y + z',
'muladd_fwd')(x, y, z)
return w,
def backward_gpu(self, inputs, grad_outputs):
x, y, z = inputs
gw, = grad_outputs
gx, gy = cuda.elementwise(
'float32 x, float32 y, float32 gw',
'float32 gx, float32 gy',
'''
gx = y * gw;
gy = x * gw;
''',
'muladd_bwd')(x, y, gw)
gz = gw
return gx, gy, gz
chainer.backends.cuda.elementwise()
function accepts the essential implementation of the kernel function, and returns a kernel invocation function (actually, it returns ElementwiseKernel
object, which is callable).
In typical usage, we pass four arguments to this function as follows:
- Input argument list. This is a comma-separated string each entry of which consists of a type specification and an argument name.
- Output argument list in the same format as the input argument list.
- Body of parallel loop. We can use the input/output argument names as an element of these arrays.
- Name of the kernel function, which is shown in debuggers and profilers.
Above code is not compiled on every forward/backward computation thanks to two caching mechanisms provided by cuda.elementwise()
.
The first one is binary caching:
chainer.backends.cuda.elementwise()
function caches the compiled binary in the $(HOME)/.cupy/kernel_cache
directory with a hash value of the CUDA code, and reuses it if the given code matches the hash value.
This caching mechanism is actually implemented in CuPy.
The second one is upload caching:
Given a compiled binary code, we have to upload it to the current GPU in order to execute it.
chainer.backends.cuda.elementwise()
function memoizes the arguments and the current device, and if it is called with the same arguments for the same device, it reuses the previously uploaded kernel code.
The above MulAdd code only works for float32 arrays.
The ElementwiseKernel
also supports the type-variadic kernel definition.
In order to define variadic kernel functions, you can use type placeholder by placing a single character as type specifier:
class MulAdd(Function):
def forward_cpu(self, inputs):
...
def backward_cpu(self, inputs, grad_outputs):
...
def forward_gpu(self, inputs):
cupy = cuda.cupy
x, y, z = inputs
w = cuda.elementwise(
'T x, T y, T z',
'T w',
'w = x * y + z',
'muladd_fwd')(x, y, z)
return w,
def backward_gpu(self, inputs, grad_outputs):
x, y, z = inputs
gw, = grad_outputs
gx, gy = cuda.elementwise(
'T x, T y, T gw',
'T gx, T gy',
'''
gx = y * gw;
gy = x * gw;
''',
'muladd_bwd')(x, y, gw)
gz = gw
return gx, gy, gz
The type placeholder T
indicates an arbitrary data type that CuPy supports.
There are more functionalities on user-defined kernels in CuPy. See the CuPy documentation on user-defined kernels for more details.
Write a function with training/test mode¶
We sometimes want to make a function behave differently in training and test modes.
The training/test mode in Chainer is configured by chainer.config
.
This is a thread-local configuration object, and users can substitute True or False to its train
attribute.
You can refer to Configuring Chainer to see how to configure this flag as well as other configuration items.
Here, we just show how to use this flag to make a function support training/test mode.
You will need to check the value of the boolean flag chainer.config.train
and branch appropriately.
For example, consider the following simple dropout function:
def dropout(x):
xp = cuda.get_array_module(x.data)
mask = 2 * (xp.random.rand(*x.shape) > 0.5).astype(x.dtype)
return x * mask
This function applies dropout to each element and doubles survived elements to preserve the scale. The above implementation applies dropout even in test mode, but it is not a desired behavior. We can fix it as follows:
def dropout(x):
if not chainer.config.train:
return x
xp = cuda.get_array_module(x.data)
mask = 2 * (xp.random.rand(*x.shape) > 0.5).astype(x.dtype)
return x * mask
The function now supports test mode.
Note that you usually do not have to implement your own dropout function because dropout()
is officially provided.
Links that wrap functions¶
Some functions are meant to be combined with parameters.
In such case, it is useful to write a small link that wraps the function.
We have already seen how to define a chain that wraps other links (by inheriting Chain
class).
Here we study how to define a link that does not hold any other links.
As the first example, suppose that we want to implement elementwise product function between the input array and the parameter array. It can be defined as follows:
class EltwiseParamProduct(Link):
def __init__(self, shape):
super(EltwiseParamProduct, self).__init__()
with self.init_scope():
self.W = chainer.Parameter(initializers.Normal(scale=1.), shape)
def __call__(self, x):
return self.W * x
For another example, assume we want to define a simple linear layer.
It is already defined as Linear
, so this is an educational example.
The linear layer is divided into two parts: a function and its wrapper link.
First, we have to define a function on variables:
class LinearFunction(Function):
def forward(self, inputs):
x, W, b = inputs
return x.dot(W.T) + b,
def backward(self, inputs, grad_outputs):
x, W, b = inputs
gy, = grad_outputs
gx = gy.dot(W)
gW = gy.T.dot(x)
gb = gy.sum(axis=0)
return gx, gW, gb
def linear(x, W, b):
return LinearFunction()(x, W, b)
This function takes three arguments: input, weight, and bias. It can be used as a part of model definition, though is inconvenient since the user have to manage the weight and bias parameters directly. In order to make a convenient module, let’s wrap it into a link:
class Linear(Link):
def __init__(self, in_size, out_size):
super(Linear, self).__init__()
with self.init_scope():
self.W = chainer.Parameter(
initializers.Normal(1. / math.sqrt(in_size)),
(out_size, in_size))
self.b = chainer.Parameter(0, (out_size,))
def __call__(self, x):
return linear(x, self.W, self.b)
This link hides the parameters of the linear layer.
Note
An advanced tip to implement functions: if you want to preserve some information between forward and backward computations (e.g. to cache some arrays), you can store it as attributes. Be careful that it might increase the memory consumption during the whole forward-backward computation. If you want to train very large networks on a GPU with limited memory, it is not recommended to cache arrays between forward and backward. There is one exception for this: caching the output arrays does not change the memory consumption, because they are also held by the output Variable objects.
Warning
You should not assume a one-to-one match of calls of forward and backward. Some users may call backward more than once after one forward call.
Testing Function¶
In order to isolate the cause of learning failure from implementation bugs, it is important to test function implementations.
Chainer provides simple utilities to help writing unit tests.
They are defined in the gradient_check
module.
The most important test utility is the numerical_grad()
function.
This function computes the numerical gradient of given function using finite differences.
It can be used as follows
x = np.random.randn(4, 3).astype(np.float32)
gy = np.ones((4, 3), dtype=np.float32)
f = lambda: (x * x,)
gx = gradient_check.numerical_grad(f, (x,), (gy,))
f
is a closure that returns a tuple of array(s) computed from input arrays.
The second and third arguments of numerical_grad()
are tuples of input arrays and output gradient arrays, respectively.
The code above computes the numerical gradients of sum(f(x))
, where sum
indicates the summation over all elements.
The summation can be weighted by changing gy
.
numerical_grad()
function also accepts additional eps
argument, which indicates the quantization width of finite differences.
Note
numerical_grad()
function accepts both CPU and GPU arrays.
Note that we cannot mix CPU and GPU arrays.
Another utility is chainer.testing.assert_allclose()
function.
This is similar to numpy.testing.assert_allclose()
function.
The difference is that Chainer’s version accepts CPU and GPU arrays as inputs.
We can mix them in one invocation of chainer.testing.assert_allclose()
.
The default values of optional arguments are also different.
Here is a typical usage of gradient checking utilities.
This is a test example of functions.relu()
function
import unittest
from chainer import testing
class TestReLU(unittest.TestCase):
def test_backward_cpu(self):
x = Variable(np.random.randn(3, 2).astype(np.float32))
y = F.relu(x)
y.grad = np.random.randn(3, 2).astype(np.float32)
y.backward()
def f():
return F.relu(x).data,
gx, = gradient_check.numerical_grad(f, (x.data,), (y.grad,))
testing.assert_allclose(gx, x.grad)
The first four lines of the test code are simple forward and backward computation of ReLU function. The next two lines compute numerical gradient using the same forward function without backward routine. And at last, we compare these two results elementwise. Note that the above test code can be easily modified to test GPU version just by replacing CPU arrays to GPU arrays.
In most cases, we do not write the code like the above explicitly because Chainer
offers a utility function chainer.gradient_check.check_backward()
that follows this procedure.
import unittest
from chainer import gradient_check
class TestReLU(unittest.TestCase):
def test_backward_cpu(self):
def f(x):
return F.relu(x)
x = np.random.randn(3, 2).astype(np.float32)
y_grad = np.random.randn(3, 2).astype(np.float32)
gradient_check.check_backward(f, x, y_grad, atol=1e-4, rtol=1e-4)
You can find many examples of function tests under tests/chainer_tests/functions_tests directory.
Creating Models¶
In the example code of this tutorial, we assume for simplicity that the following symbols are already imported.
import numpy as np
import chainer
from chainer.backends import cuda
from chainer import Function, gradient_check, report, training, utils, Variable
from chainer import datasets, iterators, optimizers, serializers
from chainer import Link, Chain, ChainList
import chainer.functions as F
import chainer.links as L
from chainer.training import extensions
Most neural network architectures contain multiple links. For example, a multi-layer perceptron consists of multiple linear layers. We can write complex procedures with parameters by combining multiple links like this:
>>> l1 = L.Linear(4, 3)
>>> l2 = L.Linear(3, 2)
>>> def my_forward(x):
... h = l1(x)
... return l2(h)
Here the L
indicates the links
module.
A procedure with parameters defined in this way is hard to reuse.
More Pythonic way is combining the links and procedures into a class:
>>> class MyProc(object):
... def __init__(self):
... self.l1 = L.Linear(4, 3)
... self.l2 = L.Linear(3, 2)
...
... def forward(self, x):
... h = self.l1(x)
... return self.l2(h)
In order to make it more reusable, we want to support parameter management, CPU/GPU migration, robust and flexible save/load features, etc.
These features are all supported by the Chain
class in Chainer.
Then, what we have to do here is just define the above class as a subclass of Chain:
>>> class MyChain(Chain):
... def __init__(self):
... super(MyChain, self).__init__()
... with self.init_scope():
... self.l1 = L.Linear(4, 3)
... self.l2 = L.Linear(3, 2)
...
... def __call__(self, x):
... h = self.l1(x)
... return self.l2(h)
It shows how a complex chain is constructed by simpler links.
Links like l1
and l2
are called child links of MyChain
.
Note that Chain itself inherits Link.
It means we can define more complex chains that hold MyChain
objects as their child links.
Note
We often define a single forward method of a link by the __call__
operator.
Such links and chains are callable and behave like regular functions of Variables.
Note
In Chainer v1, we could also register the trainable layers
(i.e., Link
s) to the model by putting them to the
__init__()
of Chain
or registering them via add_link()
.
But as these ways are deprecated in Chainer v2, users are recommended
to use the way explained above.
Another way to define a chain is using the ChainList
class, which behaves like a list of links:
>>> class MyChain2(ChainList):
... def __init__(self):
... super(MyChain2, self).__init__(
... L.Linear(4, 3),
... L.Linear(3, 2),
... )
...
... def __call__(self, x):
... h = self[0](x)
... return self[1](h)
ChainList can conveniently use an arbitrary number of links, however if the number of links is fixed like in the above case, the Chain class is recommended as a base class.
Optimizer¶
In the example code of this tutorial, we assume for simplicity that the following symbols are already imported.
import numpy as np
import chainer
from chainer.backends import cuda
from chainer import Function, gradient_check, report, training, utils, Variable
from chainer import datasets, iterators, optimizers, serializers
from chainer import Link, Chain, ChainList
import chainer.functions as F
import chainer.links as L
from chainer.training import extensions
From the previous guide on Creating Models, let’s use the MyChain
class:
>>> class MyChain(Chain):
... def __init__(self):
... super(MyChain, self).__init__()
... with self.init_scope():
... self.l1 = L.Linear(4, 3)
... self.l2 = L.Linear(3, 2)
...
... def __call__(self, x):
... h = self.l1(x)
... return self.l2(h)
To tune parameters values to minimize loss, etc., we have to optimize them by the Optimizer
class.
It runs a numerical optimization algorithm on a given link.
Many algorithms are implemented in the optimizers
module.
Here we use the simplest one, called Stochastic Gradient Descent (SGD):
>>> model = MyChain()
>>> optimizer = optimizers.SGD().setup(model)
The method setup()
prepares for the optimization given a link.
Some parameter/gradient manipulations, e.g. weight decay and gradient clipping, can be done by setting hook functions to the optimizer. Hook functions are called after the gradient computation and right before the actual update of parameters. For example, we can set weight decay regularization by running the next line beforehand:
>>> optimizer.add_hook(chainer.optimizer_hooks.WeightDecay(0.0005))
Of course, you can write your own hook functions. It should be a function or a callable object.
There are two ways to use the optimizer.
One is using it via Trainer
, which we will see in the following sections.
The other way is using it directly.
We here review the latter case.
To use the optimizer in an automated fashion, see the Trainer guide.
There are two further ways to use the optimizer directly.
One is manually computing gradients and then calling the update()
method with no arguments.
Do not forget to clear the gradients beforehand!
>>> x = np.random.uniform(-1, 1, (2, 4)).astype(np.float32)
>>> model.cleargrads()
>>> # compute gradient here...
>>> loss = F.sum(model(chainer.Variable(x)))
>>> loss.backward()
>>> optimizer.update()
The other way is just passing a loss function to the update()
method.
In this case, cleargrads()
is automatically called by the update method, so the user does not have to call it manually.
>>> def lossfun(arg1, arg2):
... # calculate loss
... loss = F.sum(model(arg1 - arg2))
... return loss
>>> arg1 = np.random.uniform(-1, 1, (2, 4)).astype(np.float32)
>>> arg2 = np.random.uniform(-1, 1, (2, 4)).astype(np.float32)
>>> optimizer.update(lossfun, chainer.Variable(arg1), chainer.Variable(arg2))
See Optimizer.update()
for the full specification.
Trainer¶
When we want to train neural networks, we have to run training loops that update the parameters many times. A typical training loop consists of the following procedures:
- Iterations over training datasets
- Preprocessing of extracted mini-batches
- Forward/backward computations of the neural networks
- Parameter updates
- Evaluations of the current parameters on validation datasets
- Logging and printing of the intermediate results
Chainer provides a simple yet powerful way to make it easy to write such training processes. The training loop abstraction mainly consists of two components:
- Dataset abstraction.
It implements 1 and 2 in the above list.
The core components are defined in the
dataset
module. There are also many implementations of datasets and iterators indatasets
anditerators
modules, respectively. - Trainer.
It implements 3, 4, 5, and 6 in the above list.
The whole procedure is implemented by
Trainer
. The way to update parameters (3 and 4) is defined byUpdater
, which can be freely customized. 5 and 6 are implemented by instances ofExtension
, which appends an extra procedure to the training loop. Users can freely customize the training procedure by adding extensions. Users can also implement their own extensions.
Trainer Extensions¶
In this section, you will learn about the following topics:
How to create your own trainer extension
In the example code of this tutorial, we assume for simplicity that the following symbols are already imported.
import numpy as np
import chainer
from chainer.backends import cuda
from chainer import Function, gradient_check, report, training, utils, Variable
from chainer import datasets, iterators, optimizers, serializers
from chainer import Link, Chain, ChainList
import chainer.functions as F
import chainer.links as L
from chainer.training import extensions
What is trainer Extension?¶
Extension
is a callable object that takes a Trainer
object as an argument. By adding an Extension
to a Trainer
using the extend()
method, the Extension
will be called according to the schedule specified by using a trigger
object (See the details in 1. trigger)
The Trainer
object contains all information used in a training loop, e.g., models, optimizers, updaters, iterators, and datasets, etc. This makes it possible to change settings such as the learning rate of an optimizer.
Write a simple function¶
You can make a new Extension
by writing a simple function which takes a Trainer
object as its argument. For example, when you want to reduce the learning rate periodically during training, an lr_drop
extension can be written as follows:
def lr_drop(trainer):
trainer.updater.get_optimizer('main').lr *= 0.1
Then you can add this function to a Trainer
object via extend()
method.
trainer.extend(lr_drop, trigger=(10, 'epoch'))
It lowers the learning rate every 10 epochs by multiplying 0.1 with the current learning rate.
Write a function decorated with @make_extension¶
make_extension()
is a decorator that adds some attributes to a given function. For example, the simple extension we created above can be written in this form:
@training.make_extension(trigger=(10, 'epoch'))
def lr_drop(trainer):
trainer.updater.get_optimizer('main').lr *= 0.1
The difference between the above example and this is whether it has a default trigger
or not. In the latter case, lr_drop()
has its default trigger
so that unless another trigger
is specified via extend()
method, the trigger
specified in make_extension()
is used by default. The code below acts the same as the former example, i.e., it reduces the learning rate every 10 epochs.
trainer.extend(lr_drop)
There are several attributes you can add using the make_extension()
decorator.
1. trigger¶
trigger
is an object that takes a Trainer
object as an argument and returns a boolean value. If a tuple in the form (period, unit)
is given as a trigger, it will be considered as an IntervalTrigger
that invokes the extension every period
unit
. For example, when the given tuple is (10, 'epoch')
, the extension will run every 10 epochs.
trigger
can also be given to the extend()
method that adds an extension to a Trainer
object. The priority of trigger
s is as follows:
- When both
extend()
and a givenExtension
havetrigger
s, thetrigger
given toextend()
is used. - When
None
is given toextend()
as thetrigger
argument and a givenExtension
hastrigger
, thetrigger
given to theExtension
is used. - When both
trigger
attributes inextend()
andExtension
areNone
, theExtension
will be fired every iteration.
See the details in the documentation of get_trigger()
for more information.
2. default_name¶
An Extension
is kept in a dictionary which is a property in a Trainer
. This argument gives the name of the Extension
. Users will see this name in the keys of the snapshot which is a dictionary generated by serialization.
3. priority¶
As a Trainer
object can be assigned multiple Extension
objects, the execution order is defined according to the following three values:
PRIORITY_WRITER
: The priority for extensions that write some records to the observation dictionary. It includes cases that the extension directly adds values to the observation dictionary, or the extension uses the chainer.report() function to report values to the observation dictionary. Extensions which write something to reporter should go first because other Extensions which read those values may be added.PRIORITY_EDITOR
: The priority for extensions that edit the observation dictionary based on already reported values. Extensions which edit some values of reported ones should go after the extensions which write values to reporter but before extensions which read the final values.PRIORITY_READER
: The priority for extensions that only read records from the observation dictionary. This is also suitable for extensions that do not use the observation dictionary at all. Extensions which read the reported values should be fired after all the extensions which have other priorities, e.g,PRIORITY_WRITER
andPRIORITY_EDITOR
because it should read the final values.
See the details in the documentation of Trainer
for more information.
Write a class inherited from the Extension class¶
This is the way to define your own extension with the maximum degree of freedom. You can keep any values inside of the extension and serialize them.
As an example, let’s make an extension that drops the learning rate polynomially. It calculates the learning rate by this equation:
The learning rate will be dropped according to the curve below with \({\rm power} = 0.5\):

class PolynomialShift(training.Extension):
def __init__(self, attr, power, stop_trigger, batchsize=None,
len_dataset=None):
self._attr = attr
self._power = power
self._init = None
self._t = 0
self._last_value = 0
if stop_trigger[1] == 'iteration':
self._maxiter = stop_trigger[0]
elif stop_trigger[1] == 'epoch':
if batchsize is None or len_dataset is None:
raise ValueError(
'When the unit of \'stop_trigger\' is \'epoch\', '
'\'batchsize\' and \'len_dataset\' should be '
'specified to calculate the maximum iteration.')
n_iter_per_epoch = len_dataset / float(batchsize)
self._maxiter = float(stop_trigger[0] * n_iter_per_epoch)
def initialize(self, trainer):
optimizer = trainer.updater.get_optimizer('main')
# ensure that _init is set
if self._init is None:
self._init = getattr(optimizer, self._attr)
def __call__(self, trainer):
self._t += 1
optimizer = trainer.updater.get_optimizer('main')
value = self._init * ((1 - (self._t / self._maxiter)) ** self._power)
setattr(optimizer, self._attr, value)
self._last_value = value
def serialize(self, serializer):
self._t = serializer('_t', self._t)
self._last_value = serializer('_last_value', self._last_value)
if isinstance(self._last_value, np.ndarray):
self._last_value = np.asscalar(self._last_value)
stop_trigger = (10000, 'iteration')
trainer.extend(PolynomialShift('lr', 0.5, stop_trigger)
This extension PolynomialShift
takes five arguments.
attr
: The name of the optimizer property you want to update using this extension.power
: The power of the above equation to calculate the learning rate.stop_trigger
: The trigger given to theTrainer
object to specify when to stop the training loop.batchsize
: The training mini-batchsize.len_dataset
: The length of the dataset, i.e., the number of data in the training dataset.
This extension calculates the number of iterations which will be performed during training by using stop_trigger
, batchsize
, and len_dataset
, then stores it as a property _maxiter
. This property will be used in the __call__()
method to update the learning rate. The initialize()
method obtains the initial learning rate from the optimizer given to the Trainer
object. The serialize()
method stores or recovers the properties, _t
(number of iterations) and _last_value
(the latest learning rate), belonging to this extension.
Using GPU(s) in Chainer¶
In the example code of this tutorial, we assume for simplicity that the following symbols are already imported.
import numpy as np
import chainer
from chainer.backends import cuda
from chainer import Function, gradient_check, report, training, utils, Variable
from chainer import datasets, iterators, optimizers, serializers
from chainer import Link, Chain, ChainList
import chainer.functions as F
import chainer.links as L
from chainer.training import extensions
In this section, you will learn about the following topics:
- Relationship between Chainer and CuPy
- Basics of CuPy
- Single-GPU usage of Chainer
- Multi-GPU usage of model-parallel computing
- Multi-GPU usage of data-parallel computing
After reading this section, you will be able to:
- Use Chainer on a CUDA-enabled GPU
- Write model-parallel computing in Chainer
- Write data-parallel computing in Chainer
Relationship between Chainer and CuPy¶
Note
From v2.0.0, CuPy is turned into a separate package and repository. Even if you have CUDA installed in your environment, you have to install CuPy separately to use GPUs. See Working with Custom CUDA Installation for the way to set up CUDA support.
Chainer uses CuPy as its backend for GPU computation.
In particular, the cupy.ndarray
class is the GPU array implementation for Chainer.
CuPy supports a subset of features of NumPy with a compatible interface.
It enables us to write a common code for CPU and GPU.
It also supports PyCUDA-like user-defined kernel generation, which enables us to write fast implementations dedicated to GPU.
Note
The chainer.backends.cuda
module imports many important symbols from CuPy.
For example, the cupy namespace is referred as cuda.cupy
in the Chainer code.
Note that the chainer.backends.cuda
module can be imported even if CUDA is not installed.
Chainer uses a memory pool for GPU memory allocation.
As shown in the previous sections, Chainer constructs and destructs many arrays during learning and evaluating iterations.
It is not well suited for CUDA architecture, since memory allocation and release in CUDA (i.e. cudaMalloc
and cudaFree
functions) synchronize CPU and GPU computations, which hurts performance.
In order to avoid memory allocation and deallocation during the computation, Chainer uses CuPy’s memory pool as the standard memory allocator.
Chainer changes the default allocator of CuPy to the memory pool, so user can use functions of CuPy directly without dealing with the memory allocator.
Basics of cupy.ndarray
¶
See the document of CuPy for the basic usage of cupy.ndarray
CuPy is a GPU array backend that implements a subset of NumPy interface.
The cupy.ndarray
class is in its core, which is a compatible GPU alternative of numpy.ndarray
.
CuPy implements many functions on cupy.ndarray
objects.
See the reference for the supported subset of NumPy API.
Understanding NumPy might help utilizing most features of CuPy.
See the NumPy documentation for learning it.
The main difference of cupy.ndarray
from numpy.ndarray
is that the content is allocated on the device memory.
The allocation takes place on the current device by default.
The current device can be changed by cupy.cuda.Device
object as follows:
with cupy.cuda.Device(1):
x_on_gpu1 = cupy.array([1, 2, 3, 4, 5])
Most operations of CuPy is done on the current device. Be careful that it causes an error to process an array on a non-current device.
Chainer provides some convenient functions to automatically switch and choose the device.
For example, the chainer.backends.cuda.to_gpu()
function copies a numpy.ndarray
object to a specified device:
x_cpu = np.ones((5, 4, 3), dtype=np.float32)
x_gpu = cuda.to_gpu(x_cpu, device=1)
It is equivalent to the following code using CuPy:
x_cpu = np.ones((5, 4, 3), dtype=np.float32)
with cupy.cuda.Device(1):
x_gpu = cupy.array(x_cpu)
Moving a device array to the host can be done by chainer.backends.cuda.to_cpu()
as follows:
x_cpu = cuda.to_cpu(x_gpu)
It is equivalent to the following code using CuPy:
with x_gpu.device:
x_cpu = x_gpu.get()
Note
The with statements in these codes are required to select the appropriate CUDA device.
If user uses only one device, these device switching is not needed.
chainer.backends.cuda.to_cpu()
and chainer.backends.cuda.to_gpu()
functions automatically switch the current device correctly.
Chainer also provides a convenient function chainer.backends.cuda.get_device_from_id()
and chainer.backends.cuda.get_device_from_array()
to select a device.
The former function accepts an integer or None
.
When None
is given, it returns a dummy device object.
Otherwise, it returns a corresponding device object.
The latter function accepts CuPy array or NumPy array.
When a NumPy array is given, it returns a dummy device object.
Otherwise, it returns a corresponding device object to the give CuPy array.
The dummy device object also supports with statements like the above example but does nothing.
Here are some other examples:
cuda.get_device_from_id(1).use()
x_gpu1 = cupy.empty((4, 3), dtype=cupy.float32)
with cuda.get_device_from_id(1):
x_gpu1 = cupy.empty((4, 3), dtype=cupy.float32)
with cuda.get_device_from_array(x_gpu1):
y_gpu1 = x_gpu + 1
Since it accepts NumPy arrays, we can write a function that accepts both NumPy and CuPy arrays with correct device switching:
def add1(x):
with cuda.get_device_from_array(x):
return x + 1
The compatibility of CuPy with NumPy enables us to write CPU/GPU generic code.
It can be made easy by the chainer.backends.cuda.get_array_module()
function.
This function returns the numpy
or cupy
module based on arguments.
A CPU/GPU generic function is defined using it like follows:
# Stable implementation of log(1 + exp(x))
def softplus(x):
xp = cuda.get_array_module(x)
return xp.maximum(0, x) + xp.log1p(xp.exp(-abs(x)))
Run Neural Networks on a Single GPU¶
Single-GPU usage is very simple.
What you have to do is transferring Link
and input arrays to the GPU beforehand.
In this subsection, the code is based on our first MNIST example in this tutorial.
A Link
object can be transferred to the specified GPU using the to_gpu()
method.
This time, we make the number of input, hidden, and output units configurable.
The to_gpu()
method also accepts a device ID like model.to_gpu(0)
.
In this case, the link object is transferred to the appropriate GPU device.
The current device is used by default.
If we use chainer.training.Trainer
, what we have to do is just let the updater know the device ID to send each mini-batch.
updater = training.updaters.StandardUpdater(train_iter, optimizer, device=0)
trainer = training.Trainer(updater, (20, 'epoch'), out='result')
We also have to specify the device ID for an evaluator extension as well.
trainer.extend(extensions.Evaluator(test_iter, model, device=0))
When we write down the training loop by hand, we have to transfer each mini-batch to the GPU manually:
model.to_gpu()
batchsize = 100
datasize = len(x_train)
for epoch in range(20):
print('epoch %d' % epoch)
indexes = np.random.permutation(datasize)
for i in range(0, datasize, batchsize):
x = Variable(cuda.to_gpu(x_train[indexes[i : i + batchsize]]))
t = Variable(cuda.to_gpu(y_train[indexes[i : i + batchsize]]))
optimizer.update(model, x, t)
Model-parallel Computation on Multiple GPUs¶
Parallelization of machine learning is roughly classified into two types called “model-parallel” and “data-parallel”. Model-parallel means parallelizations of the computations inside the model. In contrast, data-parallel means parallelizations using data sharding. In this subsection, we show how to use the model-parallel approach on multiple GPUs in Chainer.
Recall the MNIST example. Now suppose that we want to modify this example by expanding the network to 6 layers with 2000 units each using two GPUs. In order to make multi-GPU computation efficient, we only make the two GPUs communicate at the third and sixth layer. The overall architecture looks like the following diagram:
(GPU0) input --+--> l1 --> l2 --> l3 --+--> l4 --> l5 --> l6 --+--> output
| | |
(GPU1) +--> l1 --> l2 --> l3 --+--> l4 --> l5 --> l6 --+
We can use the above MLP chain as following diagram:
(GPU0) input --+--> mlp1 --+--> mlp2 --+--> output
| | |
(GPU1) +--> mlp1 --+--> mlp2 --+
Let’s write a link for the whole network.
class ParallelMLP(Chain):
def __init__(self):
super(ParallelMLP, self).__init__()
with self.init_scope():
# the input size, 784, is inferred
self.mlp1_gpu0 = MLP(1000, 2000).to_gpu(0)
self.mlp1_gpu1 = MLP(1000, 2000).to_gpu(1)
# the input size, 2000, is inferred
self.mlp2_gpu0 = MLP(1000, 10).to_gpu(0)
self.mlp2_gpu1 = MLP(1000, 10).to_gpu(1)
def __call__(self, x):
# assume x is on GPU 0
z0 = self.mlp1_gpu0(x)
z1 = self.mlp1_gpu1(F.copy(x, 1))
# sync
h0 = F.relu(z0 + F.copy(z1, 0))
h1 = F.relu(z1 + F.copy(z0, 1))
y0 = self.mlp2_gpu0(h0)
y1 = self.mlp2_gpu1(h1)
# sync
y = y0 + F.copy(y1, 0)
return y # output is on GPU0
Recall that the Link.to_gpu()
method returns the link itself.
The copy()
function copies an input variable to specified GPU device and returns a new variable on the device.
The copy supports backprop, which just reversely transfers an output gradient to the input device.
Note
Above code is not parallelized on CPU, but is parallelized on GPU. This is because all the functions in the above code run asynchronously to the host CPU.
An almost identical example code can be found at examples/mnist/train_mnist_model_parallel.py.
Data-parallel Computation on Multiple GPUs with Trainer¶
Data-parallel computation is another strategy to parallelize online processing. In the context of neural networks, it means that a different device does computation on a different subset of the input data. In this subsection, we review the way to achieve data-parallel learning on two GPUs.
Suppose again our task is the MNIST example. This time we want to directly parallelize the three-layer network. The most simple form of data-parallelization is parallelizing the gradient computation for a distinct set of data. First, define a model and optimizer instances:
model = L.Classifier(MLP(1000, 10)) # the input size, 784, is inferred
optimizer = optimizers.SGD()
optimizer.setup(model)
Recall that the MLP
link implements the multi-layer perceptron, and the Classifier
link wraps it to provide a classifier interface.
We used StandardUpdater
in the previous example.
In order to enable data-parallel computation with multiple GPUs, we only have to replace it with ParallelUpdater
.
updater = training.updaters.ParallelUpdater(train_iter, optimizer,
devices={'main': 0, 'second': 1})
The devices
option specifies which devices to use in data-parallel learning.
The device with name 'main'
is used as the main device.
The original model is sent to this device, so the optimization runs on the main device.
In the above example, the model is also cloned and sent to GPU 1.
Half of each mini-batch is fed to this cloned model.
After every backward computation, the gradient is accumulated into the main device, the parameter update runs on it, and then the updated parameters are sent to GPU 1 again.
See also the example code in examples/mnist/train_mnist_data_parallel.py.
Data-parallel Computation on Multiple GPUs without Trainer¶
We here introduce a way to write data-parallel computation without the help of Trainer
.
Most users can skip this section.
If you are interested in how to write a data-parallel computation by yourself, this section should be informative.
It is also helpful to, e.g., customize the ParallelUpdater
class.
We again start from the MNIST example.
At this time, we use a suffix like _0
and _1
to distinguish objects on each device.
First, we define a model.
model_0 = L.Classifier(MLP(1000, 10)) # the input size, 784, is inferred
We want to make two copies of this instance on different GPUs.
The Link.to_gpu()
method runs in place, so we cannot use it to make a copy.
In order to make a copy, we can use Link.copy()
method.
model_1 = model_0.copy()
model_0.to_gpu(0)
model_1.to_gpu(1)
The Link.copy()
method copies the link into another instance.
It just copies the link hierarchy, and does not copy the arrays it holds.
Then, set up an optimizer:
optimizer = optimizers.SGD()
optimizer.setup(model_0)
Here we use the first copy of the model as the master model.
Before its update, gradients of model_1
must be aggregated to those of model_0
.
Then, we can write a data-parallel learning loop as follows:
batchsize = 100
datasize = len(x_train)
for epoch in range(20):
print('epoch %d' % epoch)
indexes = np.random.permutation(datasize)
for i in range(0, datasize, batchsize):
x_batch = x_train[indexes[i : i + batchsize]]
y_batch = y_train[indexes[i : i + batchsize]]
x0 = Variable(cuda.to_gpu(x_batch[:batchsize//2], 0))
t0 = Variable(cuda.to_gpu(y_batch[:batchsize//2], 0))
x1 = Variable(cuda.to_gpu(x_batch[batchsize//2:], 1))
t1 = Variable(cuda.to_gpu(y_batch[batchsize//2:], 1))
loss_0 = model_0(x0, t0)
loss_1 = model_1(x1, t1)
model_0.cleargrads()
model_1.cleargrads()
loss_0.backward()
loss_1.backward()
model_0.addgrads(model_1)
optimizer.update()
model_1.copyparams(model_0)
Do not forget to clear the gradients of both model copies!
One half of the mini-batch is forwarded to GPU 0, the other half to GPU 1.
Then the gradients are accumulated by the Link.addgrads()
method.
This method adds the gradients of a given link to those of the self.
After the gradients are prepared, we can update the optimizer in usual way.
Note that the update only modifies the parameters of model_0
.
So we must manually copy them to model_1
using Link.copyparams()
method.
Note
If the batch size used in one model remain the same, the scale of the gradient
is roughly proportional to the number of models, when we aggregate
gradients from all models by chainer.Link.addgrads()
. So you need to adjust the batch size
and/or learning rate of the optimizer accordingly.
Now you can use Chainer with GPUs. All examples in the examples directory support GPU computation, so please refer to them if you want to know more practices on using GPUs. In the next section, we will show how to define a differentiable (i.e. backpropable) function on Variable objects. We will also show there how to write a simple (elementwise) CUDA kernel using Chainer’s CUDA utilities.
Type Checks¶
In this section, you will learn about the following things:
- Basic usage of type check
- Detail of type information
- Internal mechanism of type check
- More complicated cases
- Call functions
- Typical type check example
After reading this section, you will be able to:
- Write a code to check types of input arguments of your own functions
Basic usage of type check¶
When you call a function with an invalid type of array, you sometimes receive no error, but get an unexpected result by broadcasting. When you use CUDA with an illegal type of array, it causes memory corruption, and you get a serious error. These bugs are hard to fix. Chainer can check preconditions of each function, and helps to prevent such problems. These conditions may help a user to understand specification of functions.
Each implementation of Function
has a method for type check, check_type_forward()
.
This function is called just before the forward()
method of the Function
class.
You can override this method to check the condition on types and shapes of arguments.
check_type_forward()
gets an argument in_types
:
def check_type_forward(self, in_types):
...
in_types
is an instance of TypeInfoTuple
, which is a sub-class of tuple
.
To get type information about the first argument, use in_types[0]
.
If the function gets multiple arguments, we recommend to use new variables for readability:
x_type, y_type = in_types
In this case, x_type
represents the type of the first argument, and y_type
represents the second one.
We describe usage of in_types
with an example.
When you want to check if the number of dimension of x_type
equals to 2
, write this code:
utils.type_check.expect(x_type.ndim == 2)
When this condition is true, nothing happens. Otherwise this code throws an exception, and the user gets a message like this:
Traceback (most recent call last):
...
chainer.utils.type_check.InvalidType: Expect: in_types[0].ndim == 2
Actual: 3 != 2
This error message means that “ndim
of the first argument expected to be 2
, but actually it is 3
”.
Detail of type information¶
You can access three information of x_type
.
.shape
is a tuple of ints. Each value is size of each dimension..ndim
isint
value representing the number of dimensions. Note thatndim == len(shape)
.dtype
isnumpy.dtype
representing data type of the value.
You can check all members. For example, the size of the first dimension must be positive, you can write like this:
utils.type_check.expect(x_type.shape[0] > 0)
You can also check data types with .dtype
:
utils.type_check.expect(x_type.dtype == np.float64)
And an error is like this:
Traceback (most recent call last):
...
chainer.utils.type_check.InvalidType: Expect: in_types[0].dtype == <class 'numpy.float64'>
Actual: float32 != <class 'numpy.float64'>
You can also check kind
of dtype
.
This code checks if the type is floating point
utils.type_check.expect(x_type.dtype.kind == 'f')
You can compare between variables. For example, the following code checks if the first argument and the second argument have the same length:
utils.type_check.expect(x_type.shape[1] == y_type.shape[1])
Internal mechanism of type check¶
How does it show an error message like "in_types[0].ndim == 2"
?
If x_type
is an object containing ndim
member variable, we cannot show such an error message because this equation is evaluated as a boolean value by Python interpreter.
Actually x_type
is a Expr
objects, and doesn’t have a ndim
member variable itself.
Expr
represents a syntax tree.
x_type.ndim
makes a Expr
object representing (getattr, x_type, 'ndim')
.
x_type.ndim == 2
makes an object like (eq, (getattr, x_type, 'ndim'), 2)
.
type_check.expect()
gets a Expr
object and evaluates it.
When it is True
, it causes no error and shows nothing.
Otherwise, this method shows a readable error message.
If you want to evaluate a Expr
object, call eval()
method:
actual_type = x_type.eval()
actual_type
is an instance of TypeInfo
, while x_type
is an instance of Expr
.
In the same way, x_type.shape[0].eval()
returns an int value.
More powerful methods¶
Expr
class is more powerful.
It supports all mathematical operators such as +
and *
.
You can write a condition that the first dimension of x_type
is the first dimension of y_type
times four:
utils.type_check.expect(x_type.shape[0] == y_type.shape[0] * 4)
When x_type.shape[0] == 3
and y_type.shape[0] == 1
, users can get the error message below:
Traceback (most recent call last):
...
chainer.utils.type_check.InvalidType: Expect: in_types[0].shape[0] == in_types[1].shape[0] * 4
Actual: 3 != 4
To compare a member variable of your function, wrap a value with Variable
to show readable error message:
x_type.shape[0] == utils.type_check.Variable(self.in_size, "in_size")
This code can check the equivalent condition below:
x_type.shape[0] == self.in_size
However, the latter condition doesn’t know the meaning of this value. When this condition is not satisfied, the latter code shows unreadable error message:
chainer.utils.type_check.InvalidType: Expect: in_types[0].shape[0] == 4 # what does '4' mean?
Actual: 3 != 4
Note that the second argument of utils.type_check.Variable
is only for readability.
The former shows this message:
chainer.utils.type_check.InvalidType: Expect: in_types[0].shape[0] == in_size # OK, `in_size` is a value that is given to the constructor
Actual: 3 != 4 # You can also check actual value here
Call functions¶
How to check summation of all values of shape?
Expr
also supports function call:
sum = utils.type_check.Variable(np.sum, 'sum')
utils.type_check.expect(sum(x_type.shape) == 10)
Why do we need to wrap the function numpy.sum
with utils.type_check.Variable
?
x_type.shape
is not a tuple but an object of Expr
as we have seen before.
Therefore, numpy.sum(x_type.shape)
fails.
We need to evaluate this function lazily.
The above example produces an error message like this:
Traceback (most recent call last):
...
chainer.utils.type_check.InvalidType: Expect: sum(in_types[0].shape) == 10
Actual: 7 != 10
More complicated cases¶
How to write a more complicated condition that can’t be written with these operators?
You can evaluate Expr
and get its result value with eval()
method.
Then check the condition and show warning message by hand:
x_shape = x_type.shape.eval() # get actual shape (int tuple)
if not more_complicated_condition(x_shape):
expect_msg = 'Shape is expected to be ...'
actual_msg = 'Shape is ...'
raise utils.type_check.InvalidType(expect_msg, actual_msg)
Please write a readable error message. This code generates the following error message:
Traceback (most recent call last):
...
chainer.utils.type_check.InvalidType: Expect: Shape is expected to be ...
Actual: Shape is ...
Typical type check example¶
We show a typical type check for a function.
First check the number of arguments:
utils.type_check.expect(in_types.size() == 2)
in_types.size()
returns a Expr
object representing the number of arguments.
You can check it in the same way.
And then, get each type:
x_type, y_type = in_types
Don’t get each value before checking in_types.size()
.
When the number of argument is illegal, type_check.expect
might output unuseful error messages.
For example, this code doesn’t work when the size of in_types
is 0:
utils.type_check.expect(
in_types.size() == 2,
in_types[0].ndim == 3,
)
After that, check each type:
utils.type_check.expect(
x_type.dtype == np.float32,
x_type.ndim == 3,
x_type.shape[1] == 2,
)
The above example works correctly even when x_type.ndim == 0
as all conditions are evaluated lazily.
Serializers – saving and loading¶
Serializer is a simple interface to serialize or deserialize an object.
Link
, Optimizer
, and Trainer
support serialization.
Concrete serializers are defined in the serializers
module.
It supports NumPy NPZ and HDF5 formats.
For example, we can serialize a link object into NPZ file by the serializers.save_npz()
function:
Assuming we have defined a model
:
>>> from chainer import serializers
>>> serializers.save_npz('my.model', model)
This saves the parameters of model
into the file 'my.model'
in NPZ format.
The saved model can be read back from my.model
back into model
by the serializers.load_npz()
function:
>>> serializers.load_npz('my.model', model)
Note
Note that only the parameters and the persistent values are serialized by this serialization code.
Other attributes are not saved automatically.
You can register arrays, scalars, or any serializable objects as persistent values by the Link.add_persistent()
method.
The registered values can be accessed by attributes of the name passed to the add_persistent method.
The state of an optimizer can also be saved by the same functions:
>>> serializers.save_npz('my.state', optimizer)
>>> serializers.load_npz('my.state', optimizer)
Note
Note that serialization of optimizer only saves its internal states including number of iterations, momentum vectors of MomentumSGD, etc. It does not save the parameters and persistent values of the target link. We have to explicitly save the target link with the optimizer to resume the optimization from saved states.
Support of the HDF5 format is enabled if the h5py package is installed.
Serialization and deserialization with the HDF5 format are almost identical to those with the NPZ format;
just replace save_npz()
and load_npz()
by save_hdf5()
and load_hdf5()
, respectively.
Customize your own logging¶
In this section, you will learn about the following things:
- What is
chainer.Reporter
? - How to report logging with
chainer.Reporter
? - The naming rule for the reported values.
After reading this section, you will be able to:
- Write your own report.
What is Reporter?¶
chainer.Reporter
is used to collect values that users want to watch.
The reporter object manipulates a dictionary from value names to the actually
observed values. We call this dictionary as observation.
See the following example:
>>> from chainer import Reporter, report, report_scope
>>>
>>> reporter = Reporter()
>>> observer = object() # it can be an arbitrary (reference) object
>>> reporter.add_observer('my_observer:', observer)
>>> observation = {}
>>> with reporter.scope(observation):
... reporter.report({'x': 1}, observer)
...
>>> observation
{'my_observer:/x': 1}
When a value is passed to the reporter
, an object called observer
can be
optionally attached. In this case, the name of the observer
is added as the
prefix of the value name. The observer
name should be registered beforehand.
Using reporter.scope
, you can select which observation
to save the
observed values.
There are also a global API chainer.report()
, which reports observed values
with the current reporter object. In this case, current means which with
statement scope the current code line is in. This function calls the
Reporter.report()
method of the current reporter.
>>> observation = {}
>>> with reporter.scope(observation):
... report({'x': 1}, observer)
...
>>> observation
{'my_observer:/x': 1}
Use report in Chain or Link¶
The most important application of Reporter
is to report
observed values from each Link
or Chain
in the training and validation procedures.
But, how to report the observed values from each link or chain? Shold we
prepare the Reporter
? No, you only need to call
report()
in chain or link,
because Trainer
and some extensions prepare their own
Reporter
object with the hierarchy of the target link registered
as observers. We can use report()
function inside any links and chains to
report the observed values (e.g., training loss, accuracy, activation statistics, etc.).
See the following example:
>>> class Classifier(Chain):
... def __init__(self, predictor):
... super(Classifier, self).__init__()
... with self.init_scope():
... self.predictor = predictor
...
... def __call__(self, x, t):
... y = self.predictor(x)
... loss = F.softmax_cross_entropy(y, t)
... accuracy = F.accuracy(y, t)
... report({'loss': loss, 'accuracy': accuracy}, self)
... return loss
...
If the link is named 'main'
in the hierarchy (which is the default
name of the target link in the StandardUpdater
),
these reported values are named 'main/loss'
and 'main/accuracy'
.
If these values are reported inside the Evaluator
extension, 'validation/'
is added at the head of the link name, thus
the item names are changed to 'validation/main/loss'
and 'validation/main/accuracy'
('validation'
is the default name of the Evaluator extension).
Naming rule for the reported values¶
So, you know almost everything about Reporter
.
However, there is one more thing. It is what is the naming rule for the reported values,
especially when the values are reported from a link that is not the root of the link hierarchy.
As we explained in the previous section, the root of links is named as 'main'
by the the StandardUpdater
and the names of reported
values in the root have the prefix 'main/'
.
When the values are reported from a link that is not the root of the link hierarchy,
the prefix of the names are determined by the link hierarchy, or
namedlinks()
.
See the following example:
>>> class MLP(Chain):
... def __init__(self, n_units, n_out):
... super(MLP, self).__init__()
... with self.init_scope():
... # the size of the inputs to each layer will be inferred
... self.l1 = L.Linear(None, n_units) # n_in -> n_units
... self.l2 = L.Linear(None, n_units) # n_units -> n_units
... self.l3 = L.Linear(None, n_out) # n_units -> n_out
...
... def __call__(self, x):
... h1 = F.relu(self.l1(x))
... h2 = F.relu(self.l2(h1))
... y = self.l3(h2)
... report({'sum_y': F.sum(y)}, self)
... return y
...
>>> model = Classifier(MLP(100, 10))
>>> for name, observer in model.namedlinks(skipself=True):
... print(name)
/predictor
/predictor/l1
/predictor/l2
/predictor/l3
You can get the parameters of the link hierarchy by namedlinks()
.
In this example, we report 'loss'
and 'accuracy'
in the root of links, and
'sum_y'
in the link of '/predictor'
.
So, you can access the reported values by 'main/accuracy'
,
'main/accuracy'
, and 'main/predictor/sum_y'
.
See what we explained is correct:
>>> train, test = datasets.get_mnist()
>>> train_iter = iterators.SerialIterator(train, batch_size=100, shuffle=True)
>>> test_iter = iterators.SerialIterator(test, batch_size=100, repeat=False, shuffle=False)
>>> optimizer = optimizers.SGD()
>>> optimizer.setup(model)
>>> updater = training.StandardUpdater(train_iter, optimizer)
>>> trainer = training.Trainer(updater, (1, 'epoch'), out='result')
>>> trainer.extend(extensions.Evaluator(test_iter, model))
>>> trainer.extend(extensions.LogReport())
>>> trainer.extend(extensions.PrintReport(
... ['epoch', 'main/accuracy', 'main/loss', 'main/predictor/sum_y', 'validation/main/accuracy']))
>>> trainer.run()
epoch main/accuracy main/loss main/predictor/sum_y validation/main/accuracy
1 0.662317 1.38345 47.9927 0.8498
Neural Net Examples¶
MNIST using Trainer¶
In the example code of this tutorial, we assume for simplicity that the following symbols are already imported.
import numpy as np
import chainer
from chainer.backends import cuda
from chainer import Function, gradient_check, report, training, utils, Variable
from chainer import datasets, iterators, optimizers, serializers
from chainer import Link, Chain, ChainList
import chainer.functions as F
import chainer.links as L
from chainer.training import extensions
By using Trainer
, you don’t need to write the training loop explicitly any more. Furthermore, Chainer provides many useful extensions that can be used with Trainer
to visualize your results, evaluate your model, store and manage log files more easily.
This example will show how to use the Trainer
to train a fully-connected feed-forward neural network on the MNIST dataset.
Note
If you would like to know how to write a training loop without using the Trainer
, please check MNIST with a Manual Training Loop instead of this tutorial.
1. Prepare the dataset¶
Load the MNIST dataset, which contains a training set of images and class labels as well as a corresponding test set.
from chainer.datasets import mnist
train, test = mnist.get_mnist()
Note
You can use a Python list as a dataset. That’s because Iterator
can take any object as a dataset whose elements can be accessed via []
accessor and whose length can be obtained with len()
function. For example,
train = [(x1, t1), (x2, t2), ...]
a list of tuples like this can be used as a dataset.
There are many utility dataset classes defined in datasets
. It’s recommended to utilize them in the actual applications.
For example, if your dataset consists of a number of image files, it would take a large amount of memory to load those data into a list like above. In that case, you can use ImageDataset
, which just keeps the paths to image files. The actual image data will be loaded from the disk when the corresponding element is requested via []
accessor. Until then, no images are loaded to the memory to reduce memory use.
2. Prepare the dataset iterations¶
Iterator
creates a mini-batch from the given dataset.
batchsize = 128
train_iter = iterators.SerialIterator(train, batchsize)
test_iter = iterators.SerialIterator(test, batchsize, False, False)
3. Prepare the model¶
Here, we are going to use the same model as the one defined in MNIST with a Manual Training Loop.
class MLP(Chain):
def __init__(self, n_mid_units=100, n_out=10):
super(MLP, self).__init__()
with self.init_scope():
self.l1 = L.Linear(None, n_mid_units)
self.l2 = L.Linear(None, n_mid_units)
self.l3 = L.Linear(None, n_out)
def __call__(self, x):
h1 = F.relu(self.l1(x))
h2 = F.relu(self.l2(h1))
return self.l3(h2)
gpu_id = 0 # Set to -1 if you use CPU
model = MLP()
if gpu_id >= 0:
model.to_gpu(gpu_id)
4. Prepare the Updater¶
Trainer
is a class that holds all of the necessary components needed for training. The main components are shown below.

Basically, all you need to pass to Trainer
is an Updater
. However, Updater
contains an Iterator
and Optimizer
. Since Iterator
can access the dataset and Optimizer
has references to the model, Updater
can access to the model to update its parameters.
So, Updater
can perform the training procedure as shown below:
- Retrieve the data from dataset and construct a mini-batch (
Iterator
) - Pass the mini-batch to the model and calculate the loss
- Update the parameters of the model (
Optimizer
)
Now let’s create the Updater
object !
max_epoch = 10
# Wrap your model by Classifier and include the process of loss calculation within your model.
# Since we do not specify a loss function here, the default 'softmax_cross_entropy' is used.
model = L.Classifier(model)
# selection of your optimizing method
optimizer = optimizers.MomentumSGD()
# Give the optimizer a reference to the model
optimizer.setup(model)
# Get an updater that uses the Iterator and Optimizer
updater = training.updaters.StandardUpdater(train_iter, optimizer, device=gpu_id)
Note
Here, the model defined above is passed to Classifier
and changed to a new Chain
. Classifier
, which in fact inherits from the Chain
class, keeps the given Chain
model in its predictor
attribute. Once you give the input data and the corresponding class labels to the model by the ()
operator,
__call__()
of the model is invoked. The data is then given topredictor
to obtain the outputy
.- Next, together with the given labels, the output
y
is passed to the loss function which is determined bylossfun
argument in the constructor ofClassifier
. - The loss is returned as a
Variable
.
In Classifier
, the lossfun
is set to
softmax_cross_entropy()
as default.
StandardUpdater
is the simplest class among several updaters. There are also the ParallelUpdater
and the MultiprocessParallelUpdater
to utilize multiple GPUs. The MultiprocessParallelUpdater
uses the NVIDIA NCCL library, so you need to install NCCL and re-install CuPy before using it.
5. Setup Trainer¶
Lastly, we will setup Trainer
. The only requirement for creating a Trainer
is to pass the Updater
object that we previously created above. You can also pass a stop_trigger
to the second trainer argument as a tuple like (length, unit)
to tell the trainer when to stop the training. The length
is given as an integer and the unit
is given as a string which should be either epoch
or iteration
. Without setting stop_trigger
, the training will never be stopped.
# Setup a Trainer
trainer = training.Trainer(updater, (max_epoch, 'epoch'), out='mnist_result')
The out
argument specifies an output directory used to save the
log files, the image files of plots to show the time progress of loss, accuracy, etc. when you use PlotReport
extension. Next, we will explain how to display or save those information by using trainer Extension
.
6. Add Extensions to the Trainer object¶
The Trainer
extensions provide the following capabilities:
- Save log files automatically (
LogReport
) - Display the training information to the terminal periodically (
PrintReport
) - Visualize the loss progress by plotting a graph periodically and save it as an image file (
PlotReport
) - Automatically serialize the state periodically (
snapshot()
/snapshot_object()
) - Display a progress bar to the terminal to show the progress of training (
ProgressBar
) - Save the model architecture as a Graphviz’s dot file (
dump_graph()
)
To use these wide variety of tools for your training task, pass Extension
objects to the extend()
method of your Trainer
object.
from chainer.training import extensions
trainer.extend(extensions.LogReport())
trainer.extend(extensions.snapshot(filename='snapshot_epoch-{.updater.epoch}'))
trainer.extend(extensions.snapshot_object(model.predictor, filename='model_epoch-{.updater.epoch}'))
trainer.extend(extensions.Evaluator(test_iter, model, device=gpu_id))
trainer.extend(extensions.PrintReport(['epoch', 'main/loss', 'main/accuracy', 'validation/main/loss', 'validation/main/accuracy', 'elapsed_time']))
trainer.extend(extensions.PlotReport(['main/loss', 'validation/main/loss'], x_key='epoch', file_name='loss.png'))
trainer.extend(extensions.PlotReport(['main/accuracy', 'validation/main/accuracy'], x_key='epoch', file_name='accuracy.png'))
trainer.extend(extensions.dump_graph('main/loss'))
LogReport
¶
Collect loss
and accuracy
automatically every epoch
or iteration
and store the information under the log
file in the directory specified by the out
argument when you create a Trainer
object.
snapshot()
¶
The snapshot()
method saves the Trainer
object at the designated timing (default: every epoch) in the directory specified by out
. The Trainer
object, as mentioned before, has an Updater
which contains an Optimizer
and a model inside. Therefore, as long as you have the snapshot file, you can use it to come back to the training or make inferences using the previously trained model later.
snapshot_object()
¶
However, when you keep the whole Trainer
object, in some cases, it is very tedious to retrieve only the inside of the model. By using snapshot_object()
, you can save the particular object (in this case, the model wrapped by Classifier
) as a separate snapshot. Classifier
is a Chain
object which keeps the model that is also a Chain
object as its predictor
property, and all the parameters are under the predictor
, so taking the snapshot of predictor
is enough to keep all the trained parameters.
This is a list of commonly used trainer extensions:
LogReport
- This extension collects the loss and accuracy values every epoch or iteration and stores in a log file.
The log file will be located under the output directory (specified by
out
argument of theTrainer
object). snapshot()
- This extension saves the
Trainer
object at the designated timing (defaut: every epoch) in the output directory. TheTrainer
object, as mentioned before, has anUpdater
which contains anOptimizer
and a model inside. Therefore, as long as you have the snapshot file, you can use it to come back to the training or make inferences using the previously trained model later. snapshot_object()
snapshot()
extension above saves the wholeTrainer
object. However, in some cases, it is tedious to retrieve only the inside of the model. By usingsnapshot_object()
, you can save the particular object (in the example above, the model wrapped byClassifier
) as a separeted snapshot. Taking the snapshot ofpredictor
is enough to keep all the trained parameters, becauseClassifier
(which is a subclass ofChain
) keeps the model as itspredictor
property, and all the parameters are under this property.dump_graph()
- This extension saves the structure of the computational graph of the model.
The graph is saved in Graphviz dot format under the output directory of the
Trainer
. Evaluator
Iterator
s that use the evaluation dataset and the model object are required to useEvaluator
extension. It evaluates the model using the given dataset (typically it’s a validation dataset) at the specified timing interval.PrintReport
- This extension outputs the spcified values to the standard output.
PlotReport
- This extension plots the values specified by its arguments and saves it as a image file.
This is not an exhaustive list of built-in extensions. Please take a look at Extensions for more of them.
7. Start Training¶
Just call run()
method from
Trainer
object to start training.
trainer.run()
epoch main/loss main/accuracy validation/main/loss validation/main/accuracy elapsed_time
1 1.53241 0.638409 0.74935 0.835839 4.93409
2 0.578334 0.858059 0.444722 0.882812 7.72883
3 0.418569 0.886844 0.364943 0.899229 10.4229
4 0.362342 0.899089 0.327569 0.905558 13.148
5 0.331067 0.906517 0.304399 0.911788 15.846
6 0.309019 0.911964 0.288295 0.917722 18.5395
7 0.292312 0.916128 0.272073 0.921776 21.2173
8 0.278291 0.92059 0.261351 0.923457 23.9211
9 0.266266 0.923541 0.253195 0.927314 26.6612
10 0.255489 0.926739 0.242415 0.929094 29.466
Let’s see the plot of loss progress saved in the mnist_result
directory.

How about the accuracy?

Furthermore, let’s visualize the computational graph saved with dump_graph()
using Graphviz.
% dot -Tpng mnist_result/cg.dot -o mnist_result/cg.png

From the top to the bottom, you can see the data flow in the computational graph. It basically shows how data and parameters are passed to the Function
s.
8. Evaluate a pre-trained model¶
Evaluation using the snapshot of a model is as easy as what explained in the MNIST with a Manual Training Loop.
import matplotlib.pyplot as plt
model = MLP()
serializers.load_npz('mnist_result/model_epoch-10', model)
# Show the output
x, t = test[0]
plt.imshow(x.reshape(28, 28), cmap='gray')
plt.show()
print('label:', t)
y = model(x[None, ...])
print('predicted_label:', y.data.argmax(axis=1)[0])

label: 7
predicted_label: 7
The prediction looks correct. Success!
MNIST with a Manual Training Loop¶
In the example code of this tutorial, we assume for simplicity that the following symbols are already imported.
import numpy as np
import chainer
from chainer.backends import cuda
from chainer import Function, gradient_check, report, training, utils, Variable
from chainer import datasets, iterators, optimizers, serializers
from chainer import Link, Chain, ChainList
import chainer.functions as F
import chainer.links as L
from chainer.training import extensions
In this tutorial section, we will learn how to train a deep neural network to classify images of hand-written digits in the popular MNIST dataset. This dataset contains 50,000 training examples and 10,000 test examples. Each example is a set of a 28 x 28 greyscale image and a corresponding class label. Since the digits from 0 to 9 are used, there are 10 classes for the labels.
Chainer provides a feature called Trainer
that can simplify the training procedure of your model. However, it is also good to know how the training works in Chainer before starting to use the useful Trainer
class that hides the actual processes. Writing your own training loop can be useful for learning how Trainer
works or for implementing features not included in the standard trainer.
The complete training procedure consists of the following steps:
-
- Retrieve a set of examples (mini-batch) from the training dataset.
- Feed the mini-batch to your network.
- Run a forward pass of the network and compute the loss.
- Just call the
backward()
method from the lossVariable
to compute the gradients for all trainable parameters. - Run the optimizer to update those parameters.
Perform classification by the saved model and check the network performance on validation/test sets.
1. Prepare a dataset¶
Chainer contains some built-in functions to use some popular datasets like MNIST, CIFAR10/100, etc. Those can automatically download the data from servers and provide dataset objects which are easy to use.
The code below shows how to retrieve the MNIST dataset from the server and save an image from its training split to make sure the images are correctly obtained.
from __future__ import print_function
import matplotlib.pyplot as plt
from chainer.datasets import mnist
# Download the MNIST data if you haven't downloaded it yet
train, test = mnist.get_mnist(withlabel=True, ndim=1)
# Display an example from the MNIST dataset.
# `x` contains the input image array and `t` contains that target class
# label as an integer.
x, t = train[0]
plt.imshow(x.reshape(28, 28), cmap='gray')
plt.savefig('5.png')
print('label:', t)
label: 5
The saved image 5.png
will look like:

2. Create a dataset iterator¶
Although this is an optional step, we’d like to introduce the Iterator
class that retrieves a set of data and labels from the given dataset to easily make a mini-batch. There are some subclasses that can perform the same thing in different ways, e.g., using multi-processing to parallelize the data loading part, etc.
Here, we use SerialIterator
, which is also a subclass of Iterator
in the example code below. The SerialIterator
can provide mini-batches with or without shuffling the order of data in the given dataset.
All Iterator
s produce a new mini-batch by calling its next()
method. All
Iterator
s also have properties to know how many times we have taken all the data from the given dataset (epoch
) and whether the next mini-batch will be the start of a new epoch (is_new_epoch
), and so on.
The code below shows how to create a SerialIterator
object from a dataset object.
from chainer import iterators
# Choose the minibatch size.
batchsize = 128
train_iter = iterators.SerialIterator(train, batchsize)
test_iter = iterators.SerialIterator(test, batchsize,
repeat=False, shuffle=False)
Note
iterator
s can take a built-in Python list as a given dataset. It means that the example code below is able to work,
train = [(x1, t1), (x2, t2), ...] # A list of tuples
train_iter = iterators.SerialIterator(train, batchsize)
where x1, x2, ...
denote the input data and t1, t2, ...
denote the corresponding labels.
Details of SerialIterator¶
SerialIterator
is a built-in subclass ofIterator
that can retrieve a mini-batch from a given dataset in either sequential or shuffled order.- The
Iterator
’s constructor takes two arguments: a dataset object and a mini-batch size. - If you want to use the same dataset repeatedly during the training process, set the
repeat
argument toTrue
(default). Otherwise, the dataset will be used only one time. The latter case is actually for the evaluation. - If you want to shuffle the training dataset every epoch, set the
shuffle
argument toTrue
. Otherwise, the order of each data retrieved from the dataset will be always the same at each epoch.
In the example code shown above, we set batchsize = 128
in both train_iter
and test_iter
. So, these iterators will provide 128 images and corresponding labels at a time.
3. Define a network¶
Now let’s define a neural network that we will train to classify the MNIST images. For simplicity, we use a three-layer perceptron here. We set each hidden layer to have 100 units and set the output layer to have 10 units, which is corresponding to the number of class labels of the MNIST.
Create your network as a subclass of Chain¶
You can create your network by writing a new subclass of Chain
.
The main steps are twofold:
Register the network components which have trainable parameters to the subclass. Each of them must be instantiated and assigned to a property in the scope specified by
init_scope()
:Define a
__call__()
method that represents the actual forward computation of your network. This method takes one or moreVariable
,numpy.array
, orcupy.array
as its inputs and calculates the forward pass using them.class MyNetwork(Chain): def __init__(self, n_mid_units=100, n_out=10): super(MyNetwork, self).__init__() with self.init_scope(): self.l1 = L.Linear(None, n_mid_units) self.l2 = L.Linear(n_mid_units, n_mid_units) self.l3 = L.Linear(n_mid_units, n_out) def __call__(self, x): h = F.relu(self.l1(x)) h = F.relu(self.l2(h)) return self.l3(h) model = MyNetwork() gpu_id = 0 # Set to -1 if you use CPU if gpu_id >= 0: model.to_gpu(gpu_id)
Link
, Chain
, ChainList
, and those subclass objects which contain trainable parameters should be registered to the model by assigning it as a property inside the init_scope()
. For example, a FunctionNode
does not contain any trainable parameters, so there is no need to keep the object as a property of your network. When you want to use relu()
in your network, using it as a function in __call__()
works correctly.
In Chainer, the Python code that implements the forward computation itself represents the network. In other words, we can conceptually think of the computation graph for our network being constructed dynamically as this forward computation code executes. This allows Chainer to describe networks in which different computations can be performed in each iteration, such as branched networks, intuitively and with a high degree of flexibility. This is the key feature of Chainer that we call Define-by-Run.
4. Select an optimization algorithm¶
Chainer provides a wide variety of optimization algorithms that can be used to optimize the network parameters during training. They are located in optimizers
module.
Here, we are going to use the stochastic gradient descent (SGD) method with momentum, which is implemented by MomentumSGD
. To use the optimizer, we give the network object (typically it’s a Chain
or ChainList
) to the setup()
method of the optimizer object to register it. In this way, the Optimizer
can automatically find the model parameters and update them during training.
You can easily try out other optimizers as well. Please test and observe the results of various optimizers. For example, you could try to change MomentumSGD
to Adam
,
RMSprop
, etc.
from chainer import optimizers
# Choose an optimizer algorithm
optimizer = optimizers.MomentumSGD(lr=0.01, momentum=0.9)
# Give the optimizer a reference to the model so that it
# can locate the model's parameters.
optimizer.setup(model)
Note
In the above example, we set lr
to 0.01 in the constructor. This value is known as the “learning rate”, one of the most important hyperparameters that need to be adjusted in order to obtain the best performance. The various optimizers may each have different hyperparameters and so be sure to check the documentation for the details.
5. Write a training loop¶
We now show how to write the training loop. Since we are working on a digit classification problem, we will use
softmax_cross_entropy()
as the loss function for the optimizer to minimize. For other types of problems, such as regression models, other loss functions might be more appropriate. See the Chainer documentation for detailed information on the various loss functions for more details.
Our training loop will be structured as follows.
- We will first get a mini-batch of examples from the training dataset.
- We will then feed the batch into our network by calling it (a
Chain
object) like a function. This will execute the forward-pass code that are written in the__call__()
method. - This will return the network output that represents class label predictions. We supply it to the loss function along with the true (that is, target) values. The loss function will output the loss as a
Variable
object. - We then clear any previous gradients in the network and perform the backward pass by calling the
backward()
method on the loss variable which computes the parameter gradients. We need to clear the gradients first because thebackward()
method accumulates gradients instead of overwriting the previous values. - Since the optimizer already has a reference to the network, it has access to the parameters and the computed gradients so that we can now call the
update()
method of the optimizer which will update the model parameters.
In addition to the above steps, you might want to check the performance of the network with a validation dataset. This allows you to observe how well it is generalized to new data so far, namely, you can check whether it is overfitting to the training data. The code below checks the performance on the test set at the end of each epoch. The code has the same structure as the training code except that no backpropagation is performed and we also compute the accuracy on the test data using the accuracy()
function.
The training loop code is as follows:
import numpy as np
from chainer.dataset import concat_examples
from chainer.backends.cuda import to_cpu
max_epoch = 10
while train_iter.epoch < max_epoch:
# ---------- One iteration of the training loop ----------
train_batch = train_iter.next()
image_train, target_train = concat_examples(train_batch, gpu_id)
# Calculate the prediction of the network
prediction_train = model(image_train)
# Calculate the loss with softmax_cross_entropy
loss = F.softmax_cross_entropy(prediction_train, target_train)
# Calculate the gradients in the network
model.cleargrads()
loss.backward()
# Update all the trainable parameters
optimizer.update()
# --------------------- until here ---------------------
# Check the validation accuracy of prediction after every epoch
if train_iter.is_new_epoch: # If this iteration is the final iteration of the current epoch
# Display the training loss
print('epoch:{:02d} train_loss:{:.04f} '.format(
train_iter.epoch, float(to_cpu(loss.data))), end='')
test_losses = []
test_accuracies = []
while True:
test_batch = test_iter.next()
image_test, target_test = concat_examples(test_batch, gpu_id)
# Forward the test data
prediction_test = model(image_test)
# Calculate the loss
loss_test = F.softmax_cross_entropy(prediction_test, target_test)
test_losses.append(to_cpu(loss_test.data))
# Calculate the accuracy
accuracy = F.accuracy(prediction_test, target_test)
accuracy.to_cpu()
test_accuracies.append(accuracy.data)
if test_iter.is_new_epoch:
test_iter.epoch = 0
test_iter.current_position = 0
test_iter.is_new_epoch = False
test_iter._pushed_position = None
break
print('val_loss:{:.04f} val_accuracy:{:.04f}'.format(
np.mean(test_losses), np.mean(test_accuracies)))
Output¶
epoch:01 train_loss:0.8072 val_loss:0.7592 val_accuracy:0.8289
epoch:02 train_loss:0.5021 val_loss:0.4467 val_accuracy:0.8841
epoch:03 train_loss:0.3539 val_loss:0.3673 val_accuracy:0.9007
epoch:04 train_loss:0.2524 val_loss:0.3307 val_accuracy:0.9067
epoch:05 train_loss:0.4232 val_loss:0.3076 val_accuracy:0.9136
epoch:06 train_loss:0.3033 val_loss:0.2910 val_accuracy:0.9167
epoch:07 train_loss:0.2004 val_loss:0.2773 val_accuracy:0.9222
epoch:08 train_loss:0.2885 val_loss:0.2679 val_accuracy:0.9239
epoch:09 train_loss:0.2818 val_loss:0.2579 val_accuracy:0.9266
epoch:10 train_loss:0.2403 val_loss:0.2484 val_accuracy:0.9307
6. Save the trained model¶
Chainer provides two types of serializers
that can be used to save and restore model state. One supports the HDF5 format and the other supports the NumPy NPZ format. For this example, we are going to use the NPZ
format to save our model since it is easy to use with NumPy and doesn’t need to install any additional dependencies or libraries.
serializers.save_npz('my_mnist.model', model)
7. Perform classification by the saved model¶
Let’s use the saved model to classify a new image. In order to load the trained model parameters, we need to perform the following two steps:
- Instantiate the same network as what you trained.
- Overwrite all parameters in the model instance with the saved weights using the
load_npz()
function.
Once the model is restored, it can be used to predict image labels on new input data.
from chainer import serializers
# Create an instance of the network you trained
model = MyNetwork()
# Load the saved parameters into the instance
serializers.load_npz('my_mnist.model', model)
# Get a test image and label
x, t = test[0]
plt.imshow(x.reshape(28, 28), cmap='gray')
plt.savefig('7.png')
print('label:', t)
label: 7
The saved test image looks like:

# Change the shape of the minibatch.
# In this example, the size of minibatch is 1.
# Inference using any mini-batch size can be performed.
print(x.shape, end=' -> ')
x = x[None, ...]
print(x.shape)
# Forward calculation of the model by sending X
y = model(x)
# The result is given as Variable, then we can take a look at the contents by the attribute, .data.
y = y.data
# Look up the most probable digit number using argmax
pred_label = y.argmax(axis=1)
print('predicted label:', pred_label[0])
(784,) -> (1, 784)
predicted label: 7
The prediction result looks correct. Yay!
Convolutional Network for Visual Recognition Tasks¶
In this section, you will learn how to write
- A small convolutional network with a model class that is inherited from
Chain
, - A large convolutional network that has several building block networks with
ChainList
.
After reading this section, you will be able to:
- Write your own original convolutional network in Chainer
A convolutional network (ConvNet) is mainly comprised of convolutional layers. This type of network is commonly used for various visual recognition tasks, e.g., classifying hand-written digits or natural images into given object classes, detecting objects from an image, and labeling all pixels of an image with the object classes (semantic segmentation), and so on.
In such tasks, a typical ConvNet takes a set of images whose shape is \((N, C, H, W)\), where
- \(N\) denotes the number of images in a mini-batch,
- \(C\) denotes the number of channels of those images,
- \(H\) and \(W\) denote the height and width of those images,
respectively. Then, it typically outputs a fixed-sized vector as membership probabilities over the target object classes. It also can output a set of feature maps that have the corresponding size to the input image for a pixel labeling task, etc.
Note
The below example code assumes that some packages are already imported.
In the example code of this tutorial, we assume for simplicity that the following symbols are already imported.
import numpy as np
import chainer
from chainer.backends import cuda
from chainer import Function, gradient_check, report, training, utils, Variable
from chainer import datasets, iterators, optimizers, serializers
from chainer import Link, Chain, ChainList
import chainer.functions as F
import chainer.links as L
from chainer.training import extensions
LeNet5¶
Here, let’s start by defining LeNet5 [LeCun98] in Chainer. This is a ConvNet model that has 5 layers comprised of 3 convolutional layers and 2 fully-connected layers. This was proposed to classify hand-written digit images in 1998. In Chainer, the model can be written as follows:
class LeNet5(Chain):
def __init__(self):
super(LeNet5, self).__init__()
with self.init_scope():
self.conv1 = L.Convolution2D(
in_channels=1, out_channels=6, ksize=5, stride=1)
self.conv2 = L.Convolution2D(
in_channels=6, out_channels=16, ksize=5, stride=1)
self.conv3 = L.Convolution2D(
in_channels=16, out_channels=120, ksize=4, stride=1)
self.fc4 = L.Linear(None, 84)
self.fc5 = L.Linear(84, 10)
def __call__(self, x):
h = F.sigmoid(self.conv1(x))
h = F.max_pooling_2d(h, 2, 2)
h = F.sigmoid(self.conv2(h))
h = F.max_pooling_2d(h, 2, 2)
h = F.sigmoid(self.conv3(h))
h = F.sigmoid(self.fc4(h))
if chainer.config.train:
return self.fc5(h)
return F.softmax(self.fc5(h))
A typical way to write your network is creating a new class inherited from
Chain
class. When defining your model in this way, typically,
all the layers which have trainable parameters are registered to the model
by assigning the objects of Link
as an attribute.
The model class is instantiated before the forward and backward computations.
To give input images and label vectors simply by calling the model object
like a function, __call__()
is usually defined in the model class.
This method performs the forward computation of the model. Chainer uses
the powerful autograd system for any computational graphs written with
FunctionNode
s and Link
s (actually a
Link
calls a corresponding FunctionNode
inside of it), so that you don’t need to explicitly write the code for backward
computations in the model. Just prepare the data, then give it to the model.
The way this works is the resulting output Variable
from the
forward computation has a backward()
method to perform
autograd. In the above model, __call__()
has a if
statement at the
end to switch its behavior by the Chainer’s running mode, i.e., training mode or
not. Chainer presents the running mode as a global variable chainer.config.train
.
When it’s in training mode, __call__()
returns the output value of the
last layer as is to compute the loss later on, otherwise it returns a
prediction result by calculating softmax()
.
Note
In Chainer v1, if a function or link behaved differently in training and other modes, it was common that it held an attribute that represented its running mode or was provided with the mode from outside as an argument. In Chainer v2, it is recommended to use the global configuration chainer.config.train to switch the running mode.
If you don’t want to write conv1
and the other layers more than once, you
can also write the model like in this way:
class LeNet5(Chain):
def __init__(self):
super(LeNet5, self).__init__()
net = [('conv1', L.Convolution2D(1, 6, 5, 1))]
net += [('_sigm1', F.Sigmoid())]
net += [('_mpool1', F.MaxPooling2D(2, 2))]
net += [('conv2', L.Convolution2D(6, 16, 5, 1))]
net += [('_sigm2', F.Sigmoid())]
net += [('_mpool2', F.MaxPooling2D(2, 2))]
net += [('conv3', L.Convolution2D(16, 120, 4, 1))]
net += [('_sigm3', F.Sigmoid())]
net += [('_mpool3', F.MaxPooling2D(2, 2))]
net += [('fc4', L.Linear(None, 84))]
net += [('_sigm4', F.Sigmoid())]
net += [('fc5', L.Linear(84, 10))]
net += [('_sigm5', F.Sigmoid())]
with self.init_scope():
for n in net:
if not n[0].startswith('_'):
setattr(self, n[0], n[1])
self.forward = net
def __call__(self, x):
for n, f in self.forward:
if not n.startswith('_'):
x = getattr(self, n)(x)
else:
x = f(x)
if chainer.config.train:
return x
return F.softmax(x)
This code creates a list of all Link
s and
FunctionNode
s after calling its superclass’s constructor.
Then the elements of the list are registered to this model as
trainable layers when the name of an element doesn’t start with _
character. This operation can be freely replaced with many other ways because
those names are just designed to select Link
s only from the
list net
easily. FunctionNode
doesn’t have any trainable
parameters, so that we can’t register it to the model, but we want to use
FunctionNode
s for constructing a forward path. The list
net
is stored as an attribute forward
to refer it in
__call__()
. In __call__()
, it retrieves all layers in the network
from self.forward
sequentially regardless of what types of object (
Link
or FunctionNode
) it is, and gives the
input variable or the intermediate output from the previous layer to the
current layer. The last part of the __call__()
to switch its behavior
by the training/inference mode is the same as the former way.
Ways to calculate loss¶
When you train the model with label vector t
, the loss should be calculated
using the output from the model. There also are several ways to calculate the
loss:
model = LeNet5()
# Input data and label
x = np.random.rand(32, 1, 28, 28).astype(np.float32)
t = np.random.randint(0, 10, size=(32,)).astype(np.int32)
# Forward computation
y = model(x)
# Loss calculation
loss = F.softmax_cross_entropy(y, t)
This is a primitive way to calculate a loss value from the output of the model.
On the other hand, the loss computation can be included in the model itself by
wrapping the model object (Chain
or
ChainList
object) with a class inherited from
Chain
. The outer Chain
should take the
model defined above and register it with init_scope()
.
Chain
is actually
inherited from Link
, so that Chain
itself
can also be registered as a trainable Link
to another
Chain
. Actually, Classifier
class to
wrap the model and add the loss computation to the model already exists.
Actually, there is already a Classifier
class that can
be used to wrap the model and include the loss computation as well.
It can be used like this:
model = L.Classifier(LeNet5())
# Foward & Loss calculation
loss = model(x, t)
This class takes a model object as an input argument and registers it to
a predictor
property as a trained parameter. As shown above, the returned
object can then be called like a function in which we pass x
and t
as
the input arguments and the resulting loss value (which we recall is a
Variable
) is returned.
See the detailed implementation of Classifier
from
here: chainer.links.Classifier
and check the implementation by looking
at the source.
From the above examples, we can see that Chainer provides the flexibility to write our original network in many different ways. Such flexibility intends to make it intuitive for users to design new and complex models.
VGG16¶
Next, let’s write some larger models in Chainer. When you write a large network
consisting of several building block networks, ChainList
is
useful. First, let’s see how to write a VGG16 [Simonyan14] model.
class VGG16(chainer.ChainList):
def __init__(self):
super(VGG16, self).__init__(
VGGBlock(64),
VGGBlock(128),
VGGBlock(256, 3),
VGGBlock(512, 3),
VGGBlock(512, 3, True))
def __call__(self, x):
for f in self.children():
x = f(x)
if chainer.config.train:
return x
return F.softmax(x)
class VGGBlock(chainer.Chain):
def __init__(self, n_channels, n_convs=2, fc=False):
w = chainer.initializers.HeNormal()
super(VGGBlock, self).__init__()
with self.init_scope():
self.conv1 = L.Convolution2D(None, n_channels, 3, 1, 1, initialW=w)
self.conv2 = L.Convolution2D(
n_channels, n_channels, 3, 1, 1, initialW=w)
if n_convs == 3:
self.conv3 = L.Convolution2D(
n_channels, n_channels, 3, 1, 1, initialW=w)
if fc:
self.fc4 = L.Linear(None, 4096, initialW=w)
self.fc5 = L.Linear(4096, 4096, initialW=w)
self.fc6 = L.Linear(4096, 1000, initialW=w)
self.n_convs = n_convs
self.fc = fc
def __call__(self, x):
h = F.relu(self.conv1(x))
h = F.relu(self.conv2(h))
if self.n_convs == 3:
h = F.relu(self.conv3(h))
h = F.max_pooling_2d(h, 2, 2)
if self.fc:
h = F.dropout(F.relu(self.fc4(h)))
h = F.dropout(F.relu(self.fc5(h)))
h = self.fc6(h)
return h
That’s it. VGG16 is a model which won the 1st place in
classification + localization task at ILSVRC 2014,
and since then, has become one of the standard models for many different tasks
as a pre-trained model. This has 16-layers, so it’s called “VGG-16”, but we can
write this model without writing all layers independently. Since this model
consists of several building blocks that have the same architecture, we can
build the whole network by re-using the building block definition. Each part
of the network is consisted of 2 or 3 convolutional layers and activation
function (relu()
) following them, and
max_pooling_2d()
operations. This block is written as
VGGBlock
in the above example code. And the whole network just calls
this block one by one in sequential manner.
ResNet152¶
How about ResNet? ResNet [He16] came in the following year’s ILSVRC. It is a much deeper model than VGG16, having up to 152 layers. This sounds super laborious to build, but it can be implemented in almost same manner as VGG16. In the other words, it’s easy. One possible way to write ResNet-152 is:
class ResNet152(chainer.Chain):
def __init__(self, n_blocks=[3, 8, 36, 3]):
w = chainer.initializers.HeNormal()
super(ResNet152, self).__init__()
with self.init_scope():
self.conv1 = L.Convolution2D(None, 64, 7, 2, 3, initialW=w, nobias=True)
self.bn1 = L.BatchNormalization(64)
self.res2 = ResBlock(n_blocks[0], 64, 64, 256, 1)
self.res3 = ResBlock(n_blocks[1], 256, 128, 512)
self.res4 = ResBlock(n_blocks[2], 512, 256, 1024)
self.res5 = ResBlock(n_blocks[3], 1024, 512, 2048)
self.fc6 = L.Linear(2048, 1000)
def __call__(self, x):
h = self.bn1(self.conv1(x))
h = F.max_pooling_2d(F.relu(h), 2, 2)
h = self.res2(h)
h = self.res3(h)
h = self.res4(h)
h = self.res5(h)
h = F.average_pooling_2d(h, h.shape[2:], stride=1)
h = self.fc6(h)
if chainer.config.train:
return h
return F.softmax(h)
class ResBlock(chainer.ChainList):
def __init__(self, n_layers, n_in, n_mid, n_out, stride=2):
super(ResBlock, self).__init__()
self.add_link(BottleNeck(n_in, n_mid, n_out, stride, True))
for _ in range(n_layers - 1):
self.add_link(BottleNeck(n_out, n_mid, n_out))
def __call__(self, x):
for f in self.children():
x = f(x)
return x
class BottleNeck(chainer.Chain):
def __init__(self, n_in, n_mid, n_out, stride=1, proj=False):
w = chainer.initializers.HeNormal()
super(BottleNeck, self).__init__()
with self.init_scope():
self.conv1x1a = L.Convolution2D(
n_in, n_mid, 1, stride, 0, initialW=w, nobias=True)
self.conv3x3b = L.Convolution2D(
n_mid, n_mid, 3, 1, 1, initialW=w, nobias=True)
self.conv1x1c = L.Convolution2D(
n_mid, n_out, 1, 1, 0, initialW=w, nobias=True)
self.bn_a = L.BatchNormalization(n_mid)
self.bn_b = L.BatchNormalization(n_mid)
self.bn_c = L.BatchNormalization(n_out)
if proj:
self.conv1x1r = L.Convolution2D(
n_in, n_out, 1, stride, 0, initialW=w, nobias=True)
self.bn_r = L.BatchNormalization(n_out)
self.proj = proj
def __call__(self, x):
h = F.relu(self.bn_a(self.conv1x1a(x)))
h = F.relu(self.bn_b(self.conv3x3b(h)))
h = self.bn_c(self.conv1x1c(h))
if self.proj:
x = self.bn_r(self.conv1x1r(x))
return F.relu(h + x)
In the BottleNeck
class, depending on the value of the proj argument
supplied to the initializer, it will conditionally compute a convolutional
layer conv1x1r
which will extend the number of channels of the input x
to be equal to the number of channels of the output of conv1x1c
, and
followed by a batch normalization layer before the final ReLU layer.
Writing the building block in this way improves the re-usability of a class.
It switches not only the behavior in __class__()
by flags but also the
parameter registration. In this case, when proj
is False
, the
BottleNeck
doesn’t have conv1x1r and bn_r layers, so the memory
usage would be efficient compared to the case when it registers both anyway and
just ignore them if proj
is False
.
Using nested Chain
s and ChainList
for
sequential part enables us to write complex and very deep models easily.
Use Pre-trained Models¶
Various ways to write your models were described above. It turns out that VGG16 and ResNet are very useful as general feature extractors for many kinds of tasks, including but not limited to image classification. So, Chainer provides you with the pre-trained VGG16 and ResNet-50/101/152 models with a simple API. You can use these models as follows:
from chainer.links import VGG16Layers
model = VGG16Layers()
When VGG16Layers
is instantiated, the pre-trained
parameters are automatically downloaded from the author’s server. So you can
immediately start to use VGG16 with pre-trained weight as a good image feature
extractor. See the details of this model here:
chainer.links.VGG16Layers
.
In the case of ResNet models, there are three variations differing in the number
of layers. We have chainer.links.ResNet50Layers
,
chainer.links.ResNet101Layers
, and chainer.links.ResNet152Layers
models
with easy parameter loading feature. ResNet’s pre-trained parameters are not
available for direct downloading, so you need to download the weight from the
author’s web page first, and then place it into the dir
$CHAINER_DATSET_ROOT/pfnet/chainer/models
or your favorite place. Once
the preparation is finished, the usage is the same as VGG16:
from chainer.links import ResNet152Layers
model = ResNet152layers()
Please see the details of usage and how to prepare the pre-trained weights for
ResNet here: chainer.links.ResNet50Layers
References¶
[LeCun98] | Yann LeCun, Léon Bottou, Yoshua Bengio, and Patrick Haffner. Gradient-based learning applied to document recognition. Proceedings of the IEEE, 86(11), 2278–2324, 1998. |
[Simonyan14] | Simonyan, K. and Zisserman, A., Very Deep Convolutional Networks for Large-Scale Image Recognition. arXiv preprint arXiv:1409.1556, 2014. |
[He16] | Kaiming He, Xiangyu Zhang, Shaoqing Ren, Jian Sun. Deep Residual Learning for Image Recognition. The IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 770-778, 2016. |
Recurrent Nets and their Computational Graph¶
In the example code of this tutorial, we assume for simplicity that the following symbols are already imported.
import numpy as np
import chainer
from chainer.backends import cuda
from chainer import Function, gradient_check, report, training, utils, Variable
from chainer import datasets, iterators, optimizers, serializers
from chainer import Link, Chain, ChainList
import chainer.functions as F
import chainer.links as L
from chainer.training import extensions
In this section, you will learn how to write
- recurrent nets with full backprop,
- recurrent nets with truncated backprop,
- evaluation of networks with few memory.
After reading this section, you will be able to:
- Handle input sequences of variable length
- Truncate upper stream of the network during forward computation
- Use no-backprop mode to prevent network construction
Recurrent Nets¶
Recurrent nets are neural networks with loops. They are often used to learn from sequential input/output. Given an input stream \(x_1, x_2, \dots, x_t, \dots\) and the initial state \(h_0\), a recurrent net iteratively updates its state by \(h_t = f(x_t, h_{t-1})\), and at some or every point in time \(t\), it outputs \(y_t = g(h_t)\). If we expand the procedure along the time axis, it looks like a regular feed-forward network except that same parameters are repeatedly used within the network.
Here we learn how to write a simple one-layer recurrent net. The task is language modeling: given a finite sequence of words, we want to predict the next word at each position without peeking the successive words. Suppose there are 1,000 different word types, and that we use 100 dimensional real vectors to represent each word (a.k.a. word embedding).
Let’s start from defining the recurrent neural net language model (RNNLM) as a chain.
We can use the chainer.links.LSTM
link that implements a fully-connected stateful LSTM layer.
This link looks like an ordinary fully-connected layer.
On construction, you pass the input and output size to the constructor:
>>> l = L.LSTM(100, 50)
Then, call on this instance l(x)
executes one step of LSTM layer:
>>> l.reset_state()
>>> x = Variable(np.random.randn(10, 100).astype(np.float32))
>>> y = l(x)
Do not forget to reset the internal state of the LSTM layer before the forward computation! Every recurrent layer holds its internal state (i.e. the output of the previous call). At the first application of the recurrent layer, you must reset the internal state. Then, the next input can be directly fed to the LSTM instance:
>>> x2 = Variable(np.random.randn(10, 100).astype(np.float32))
>>> y2 = l(x2)
Based on this LSTM link, let’s write our recurrent network as a new chain:
class RNN(Chain):
def __init__(self):
super(RNN, self).__init__()
with self.init_scope():
self.embed = L.EmbedID(1000, 100) # word embedding
self.mid = L.LSTM(100, 50) # the first LSTM layer
self.out = L.Linear(50, 1000) # the feed-forward output layer
def reset_state(self):
self.mid.reset_state()
def __call__(self, cur_word):
# Given the current word ID, predict the next word.
x = self.embed(cur_word)
h = self.mid(x)
y = self.out(h)
return y
rnn = RNN()
model = L.Classifier(rnn)
optimizer = optimizers.SGD()
optimizer.setup(model)
Here EmbedID
is a link for word embedding.
It converts input integers into corresponding fixed-dimensional embedding vectors.
The last linear link out
represents the feed-forward output layer.
The RNN
chain implements a one-step-forward computation.
It does not handle sequences by itself, but we can use it to process sequences by just feeding items in a sequence straight to the chain.
Suppose we have a list of word variables x_list
.
Then, we can compute loss values for the word sequence by simple for
loop.
def compute_loss(x_list):
loss = 0
for cur_word, next_word in zip(x_list, x_list[1:]):
loss += model(cur_word, next_word)
return loss
Of course, the accumulated loss is a Variable object with the full history of computation.
So we can just call its backward()
method to compute gradients of the total loss according to the model parameters:
# Suppose we have a list of word variables x_list.
rnn.reset_state()
model.cleargrads()
loss = compute_loss(x_list)
loss.backward()
optimizer.update()
Or equivalently we can use the compute_loss
as a loss function:
rnn.reset_state()
optimizer.update(compute_loss, x_list)
Truncate the Graph by Unchaining¶
Learning from very long sequences is also a typical use case of recurrent nets. Suppose the input and state sequence is too long to fit into memory. In such cases, we often truncate the backpropagation into a short time range. This technique is called truncated backprop. It is heuristic, and it makes the gradients biased. However, this technique works well in practice if the time range is long enough.
How to implement truncated backprop in Chainer?
Chainer has a smart mechanism to achieve truncation, called backward unchaining.
It is implemented in the Variable.unchain_backward()
method.
Backward unchaining starts from the Variable object, and it chops the computation history backwards from the variable.
The chopped variables are disposed automatically (if they are not referenced explicitly from any other user object).
As a result, they are no longer a part of computation history, and are not involved in backprop anymore.
Let’s write an example of truncated backprop. Here we use the same network as the one used in the previous subsection. Suppose we are given a very long sequence, and we want to run backprop truncated at every 30 time steps. We can write truncated backprop using the model defined above:
loss = 0
count = 0
seqlen = len(x_list[1:])
rnn.reset_state()
for cur_word, next_word in zip(x_list, x_list[1:]):
loss += model(cur_word, next_word)
count += 1
if count % 30 == 0 or count == seqlen:
model.cleargrads()
loss.backward()
loss.unchain_backward()
optimizer.update()
State is updated at model()
, and the losses are accumulated to loss
variable.
At each 30 steps, backprop takes place at the accumulated loss.
Then, the unchain_backward()
method is called, which deletes the computation history backward from the accumulated loss.
Note that the last state of model
is not lost, since the RNN instance holds a reference to it.
The implementation of truncated backprop is simple, and since there is no complicated trick on it, we can generalize this method to different situations. For example, we can easily extend the above code to use different schedules between backprop timing and truncation length.
Network Evaluation without Storing the Computation History¶
On evaluation of recurrent nets, there is typically no need to store the computation history. While unchaining enables us to walk through unlimited length of sequences with limited memory, it is a bit of a work-around.
As an alternative, Chainer provides an evaluation mode of forward computation which does not store the computation history.
This is enabled by just calling no_backprop_mode()
context:
with chainer.no_backprop_mode():
x_list = [Variable(...) for _ in range(100)] # list of 100 words
loss = compute_loss(x_list)
Note that we cannot call loss.backward()
to compute the gradient here, since the variable created in the no-backprop context does not remember the computation history.
No-backprop context is also useful to evaluate feed-forward networks to reduce the memory footprint.
We can combine a fixed feature extractor network and a trainable predictor network using no_backprop_mode()
.
For example, suppose we want to train a feed-forward network predictor_func
, which is located on top of another fixed pre-trained network fixed_func
.
We want to train predictor_func
without storing the computation history for fixed_func
.
This is simply done by following code snippets (suppose x_data
and y_data
indicate input data and label, respectively):
with chainer.no_backprop_mode():
x = Variable(x_data)
feat = fixed_func(x)
y = predictor_func(feat)
y.backward()
At first, the input variable x
is in no-backprop mode, so fixed_func
does not memorize the computation history.
Then predictor_func
is executed in backprop mode, i.e., with memorizing the history of computation.
Since the history of computation is only memorized between variables feat
and y
, the backward computation stops at the feat
variable.
Making it with Trainer¶
The above codes are written with plain Function/Variable APIs. When we write a training loop, it is better to use Trainer, since we can then easily add functionalities by extensions.
Before implementing it on Trainer, let’s clarify the training settings.
We here use Penn Tree Bank dataset as a set of sentences.
Each sentence is represented as a word sequence.
We concatenate all sentences into one long word sequence, in which each sentence is separated by a special word <eos>
, which stands for “End of Sequence”.
This dataset is easily obtained by chainer.datasets.get_ptb_words()
.
This function returns train, validation, and test dataset, each of which is represented as a long array of integers.
Each integer represents a word ID.
Our task is to learn a recurrent neural net language model from the long word sequence. We use words in different locations to form mini-batches. It means we maintain \(B\) indices pointing to different locations in the sequence, read from these indices at each iteration, and increment all indices after the read. Of course, when one index reaches the end of the whole sequence, we turn the index back to 0.
In order to implement this training procedure, we have to customize the following components of Trainer:
- Iterator. Built-in iterators do not support reading from different locations and aggregating them into a mini-batch.
- Update function. The default update function does not support truncated BPTT.
When we write a dataset iterator dedicated to the dataset, the dataset implementation can be arbitrary; even the interface is not fixed.
On the other hand, the iterator must support the Iterator
interface.
The important methods and attributes to implement are batch_size
, epoch
, epoch_detail
, is_new_epoch
, iteration
, __next__
, and serialize
.
Following is a code from the official example in the examples/ptb directory.
from __future__ import division
class ParallelSequentialIterator(chainer.dataset.Iterator):
def __init__(self, dataset, batch_size, repeat=True):
self.dataset = dataset
self.batch_size = batch_size
self.epoch = 0
self.is_new_epoch = False
self.repeat = repeat
self.offsets = [i * len(dataset) // batch_size for i in range(batch_size)]
self.iteration = 0
def __next__(self):
length = len(self.dataset)
if not self.repeat and self.iteration * self.batch_size >= length:
raise StopIteration
cur_words = self.get_words()
self.iteration += 1
next_words = self.get_words()
epoch = self.iteration * self.batch_size // length
self.is_new_epoch = self.epoch < epoch
if self.is_new_epoch:
self.epoch = epoch
return list(zip(cur_words, next_words))
@property
def epoch_detail(self):
return self.iteration * self.batch_size / len(self.dataset)
def get_words(self):
return [self.dataset[(offset + self.iteration) % len(self.dataset)]
for offset in self.offsets]
def serialize(self, serializer):
self.iteration = serializer('iteration', self.iteration)
self.epoch = serializer('epoch', self.epoch)
train_iter = ParallelSequentialIterator(train, 20)
val_iter = ParallelSequentialIterator(val, 1, repeat=False)
Although the code is slightly long, the idea is simple.
First, this iterator creates offsets
pointing to positions equally spaced within the whole sequence.
The i-th examples of mini-batches refer the sequence with the i-th offset.
The iterator returns a list of tuples of the current words and the next words.
Each mini-batch is converted to a tuple of integer arrays by the concat_examples
function in the standard updater (see the previous tutorial).
Backprop Through Time is implemented as follows.
class BPTTUpdater(training.updaters.StandardUpdater):
def __init__(self, train_iter, optimizer, bprop_len):
super(BPTTUpdater, self).__init__(train_iter, optimizer)
self.bprop_len = bprop_len
# The core part of the update routine can be customized by overriding.
def update_core(self):
loss = 0
# When we pass one iterator and optimizer to StandardUpdater.__init__,
# they are automatically named 'main'.
train_iter = self.get_iterator('main')
optimizer = self.get_optimizer('main')
# Progress the dataset iterator for bprop_len words at each iteration.
for i in range(self.bprop_len):
# Get the next batch (a list of tuples of two word IDs)
batch = train_iter.__next__()
# Concatenate the word IDs to matrices and send them to the device
# self.converter does this job
# (it is chainer.dataset.concat_examples by default)
x, t = self.converter(batch)
# Compute the loss at this time step and accumulate it
loss += optimizer.target(chainer.Variable(x), chainer.Variable(t))
optimizer.target.cleargrads() # Clear the parameter gradients
loss.backward() # Backprop
loss.unchain_backward() # Truncate the graph
optimizer.update() # Update the parameters
updater = BPTTUpdater(train_iter, optimizer, bprop_len) # instantiation
In this case, we update the parameters on every bprop_len
consecutive words.
The call of unchain_backward
cuts the history of computation accumulated to the LSTM links.
The rest of the code for setting up Trainer is almost same as one given in the previous tutorial.
In this section we have demonstrated how to write recurrent nets in Chainer and some fundamental techniques to manage the history of computation (a.k.a. computational graph). The example in the examples/ptb directory implements truncated backprop learning of a LSTM language model from the Penn Treebank corpus. In the next section, we will review how to use GPU(s) in Chainer.
RNN Language Models¶
0. Introduction¶
The language model is modeling the probability of generating natural language sentences or documents. You can use the language model to estimate how natural a sentence or a document is. Also, with the language model, you can generate new sentences or documents.
Let’s start with modeling the probability of generating sentences. We represent a sentence as \({\bf X} = ({\bf x}_0, {\bf x}_1, ..., {\bf x}_T)\), in which \({\bf x}_t\) is a one-hot vector. Generally, \({\bf x}_0\) is the one-hot vector of BOS (beginning of sentence), and \({\bf x}_T\) is that of EOS (end of sentence).
A language model models the probability of a word occurrence under the condition of its previous words in a sentence. Let \({\bf X}_{[i, j]}\) be \(({\bf x}_i, {\bf x}_{i+1}, ..., {\bf x}_j)\), the occurrence probability of sentence \(\bf X\) can be represented as follows:
So, the language model \(P({\bf X})\) can be decomposed into word probabilities conditioned with its previous words. In this tutorial, we model \(P({\bf x}_t|{\bf X}_{[0, t-1]})\) with a recurrent neural network to obtain a language model \(P({\bf X})\).
1. Basic Idea of Recurrent Neural Net Language Model¶
1.1 Recurrent Neural Net Language Model¶
Recurrent Neural Net Language Model (RNNLM) is a type of neural net language models which contains the RNNs in the network. Since an RNN can deal with the variable length inputs, it is suitable for modeling the sequential data such as sentences in natural language.
We show one layer of an RNNLM with these parameters.
Symbol | Definition |
---|---|
\({\bf x}_t\) | the one-hot vector of \(t\)-th word |
\({\bf y}_t\) | the \(t\)-th output |
\({\bf h}_t^{(i)}\) | the \(t\)-th hidden layer of \(i\)-th layer |
\({\bf p}_t\) | the next word’s probability of \(t\)-th word |
\({\bf E}\) | Embedding matrix |
\({\bf W}_h\) | Hidden layer matrix |
\({\bf W}_o\) | Output layer matrix |

The process to get a next word prediction from \(i\)-th input word \({\bf x}_t\)¶
- Get the embedding vector: \({\bf h}_t^{(0)} = {\bf E} {\bf x}_t\)
- Calculate the hidden layer: \({\bf h}_t^{(1)} = {\rm tanh} \left( {\bf W}_h \left[ \begin{array}{cc} {\bf h}_t^{(0)} \\ {\bf h}_{t-1}^{(1)} \end{array} \right] \right)\)
- Calculate the output layer: \({\bf y}_t = {\bf W}_o {\bf h}_t^{(1)}\)
- Transform to probability: \({\bf p}_t = {\rm softmax}({\bf y}_t)\)
Note
- Note that \(\rm tanh\) in the above equation is applied to the input vector in element-wise manner.
- Note that \(\left[ \begin{array}{cc} {\bf a} \\ {\bf b} \end{array} \right]\) denotes a concatenated vector of \({\bf a}\) and \({\bf b}\).
- Note that \({\rm softmax}\) in the above equation converts an arbitrary real vector to a probability vector which the summation over all elements is \(1\).
1.2 Perplexity (Evaluation of the language model)¶
Perplexity is the common evaluation metric for a language model. Generally, it measures how well the proposed probability model \(P_{\rm model}({\bf X})\) represents the target data \(P^*({\bf X})\). Let a validation dataset be \(D = \{{\bf X}^{(n)}\}_{n=1}^{|D|}\), which is a set of sentences, where the \(n\)-th sentence length is \(T^{(n)}\), and the vocabulary size of this dataset is \(|\mathcal{V}|\), the perplexity is represented as follows:
We usually use \(b = 2\) or \(b = e\). The perplexity shows how much varied the predicted distribution for the next word is. When a language model represents the dataset well, it should show a high probability only for the correct next word, so that the entropy should be high. In the above equation, the sign is reversed, so that smaller perplexity means better model.
During training, we minimize the below cross entropy:
where \(\hat P\) is the empirical distribution of a sequence in the training dataset.
2. Implementation of Recurrent Neural Net Language Model¶
There is an example of RNN language model in the official repository, so we will explain how to implement a RNNLM in Chainer based on that: examples/ptb
2.1 Model Overview¶

The RNNLM used in this notebook is depicted in the above figure. The symbols appeared in the figure are defined as follows:
Symbol | Definition |
---|---|
\({\bf x}_t\) | the one-hot vector of \(t\)-th word |
\({\bf y}_t\) | the \(t\)-th output |
\({\bf h}_t^{(i)}\) | the \(t\)-th hidden layer of \(i\)-th layer |
\({\bf p}_t\) | the next word’s probability of \(t\)-th word |
\({\bf E}\) | Embedding matrix |
\({\bf W}_h\) | Hidden layer matrix |
\({\bf W}_o\) | Output layer matrix |
LSTMs (long short-term memory) are used for the connection of hidden layers. A LSTM is one of major recurrent neural net modules. It is designed for remembering the long-term memory, so that it should be able to consider relationships of distant words, such that a word at beginning of sentence and it at the end. We also use Dropout before both LSTMs and linear transformations. Dropout is one of regularization techniques for preventing overfitting on training dataset.
2.2 Step-by-step Implementation¶
2.2.1 Import Package¶
First, let’s import necessary packages.
import numpy as np
import chainer
import chainer.functions as F
import chainer.links as L
from chainer import training
from chainer.training import extensions
2.2.2 Define Training Settings¶
Define all training settings here.
parser.add_argument('--batchsize', '-b', type=int, default=20,
help='Number of examples in each mini-batch')
parser.add_argument('--bproplen', '-l', type=int, default=35,
help='Number of words in each mini-batch '
'(= length of truncated BPTT)')
parser.add_argument('--epoch', '-e', type=int, default=39,
help='Number of sweeps over the dataset to train')
parser.add_argument('--gpu', '-g', type=int, default=-1,
help='GPU ID (negative value indicates CPU)')
parser.add_argument('--gradclip', '-c', type=float, default=5,
help='Gradient norm threshold to clip')
parser.add_argument('--out', '-o', default='result',
help='Directory to output the result')
parser.add_argument('--resume', '-r', default='',
help='Resume the training from snapshot')
parser.add_argument('--test', action='store_true',
help='Use tiny datasets for quick tests')
parser.set_defaults(test=False)
parser.add_argument('--unit', '-u', type=int, default=650,
help='Number of LSTM units in each layer')
parser.add_argument('--model', '-m', default='model.npz',
help='Model file name to serialize')
2.2.3 Define Network Structure¶
An RNNLM written in Chainer is shown below. It implements the model depicted in the above figure.
class RNNForLM(chainer.Chain):
def __init__(self, n_vocab, n_units):
super(RNNForLM, self).__init__()
with self.init_scope():
self.embed = L.EmbedID(n_vocab, n_units)
self.l1 = L.LSTM(n_units, n_units)
self.l2 = L.LSTM(n_units, n_units)
self.l3 = L.Linear(n_units, n_vocab)
for param in self.params():
param.data[...] = np.random.uniform(-0.1, 0.1, param.data.shape)
def reset_state(self):
self.l1.reset_state()
self.l2.reset_state()
def __call__(self, x):
h0 = self.embed(x)
h1 = self.l1(F.dropout(h0))
h2 = self.l2(F.dropout(h1))
y = self.l3(F.dropout(h2))
return y
- When we instantiate this class for making a model, we give the vocabulary size
to
n_vocab
and the size of hidden vectors ton_units
. - This network uses
chainer.links.LSTM
,chainer.links.Linear
, andchainer.functions.dropout
as its building blocks. All the layers are registered and initialized in the context withself.init_scope()
. - You can access all the parameters in those layers by calling
self.params()
. - In the constructor, it initializes all parameters with values sampled from a uniform distribution \(U(-1, 1)\).
- The
__call__
method takes an word IDx
, and calculates the word probability vector for the next word by forwarding it through the network, and returns the output. - Note that the word ID
x
is automatically converted to a \(|\mathcal{V}|\)-dimensional one-hot vector and then multiplied with the input embedding matrix inself.embed(x)
to obtain an embed vectorh0
at the first line of__call__
.
2.2.4 Load the Penn Tree Bank Long Word Sequence Dataset¶
In this notebook, we use Penn Tree Bank dataset that contains number of sentences.
Chainer provides an utility function to obtain this dataset from server and convert
it to a long single sequence of word IDs. chainer.datasets.get_ptb_words()
actually returns three separated datasets which are for train, validation, and test.
Let’s download and make dataset objects using it:
# Load the Penn Tree Bank long word sequence dataset
train, val, test = chainer.datasets.get_ptb_words()
2.2.5 Define Iterator for Making a Mini-batch from the Dataset¶
Dataset iterator creates a mini-batch of couple of words at different positions, namely, pairs of current word and its next word. Each example is a part of sentences starting from different offsets equally spaced within the whole sequence.
class ParallelSequentialIterator(chainer.dataset.Iterator):
def __init__(self, dataset, batch_size, repeat=True):
self.dataset = dataset
self.batch_size = batch_size # batch size
# Number of completed sweeps over the dataset. In this case, it is
# incremented if every word is visited at least once after the last
# increment.
self.epoch = 0
# True if the epoch is incremented at the last iteration.
self.is_new_epoch = False
self.repeat = repeat
length = len(dataset)
# Offsets maintain the position of each sequence in the mini-batch.
self.offsets = [i * length // batch_size for i in range(batch_size)]
# NOTE: this is not a count of parameter updates. It is just a count of
# calls of ``__next__``.
self.iteration = 0
# use -1 instead of None internally
self._previous_epoch_detail = -1.
def __next__(self):
# This iterator returns a list representing a mini-batch. Each item
# indicates a different position in the original sequence. Each item is
# represented by a pair of two word IDs. The first word is at the
# "current" position, while the second word at the next position.
# At each iteration, the iteration count is incremented, which pushes
# forward the "current" position.
length = len(self.dataset)
if not self.repeat and self.iteration * self.batch_size >= length:
# If not self.repeat, this iterator stops at the end of the first
# epoch (i.e., when all words are visited once).
raise StopIteration
cur_words = self.get_words()
self._previous_epoch_detail = self.epoch_detail
self.iteration += 1
next_words = self.get_words()
epoch = self.iteration * self.batch_size // length
self.is_new_epoch = self.epoch < epoch
if self.is_new_epoch:
self.epoch = epoch
return list(zip(cur_words, next_words))
@property
def epoch_detail(self):
# Floating point version of epoch.
return self.iteration * self.batch_size / len(self.dataset)
@property
def previous_epoch_detail(self):
if self._previous_epoch_detail < 0:
return None
return self._previous_epoch_detail
def get_words(self):
# It returns a list of current words.
return [self.dataset[(offset + self.iteration) % len(self.dataset)]
for offset in self.offsets]
def serialize(self, serializer):
# It is important to serialize the state to be recovered on resume.
self.iteration = serializer('iteration', self.iteration)
self.epoch = serializer('epoch', self.epoch)
try:
self._previous_epoch_detail = serializer(
'previous_epoch_detail', self._previous_epoch_detail)
except KeyError:
# guess previous_epoch_detail for older version
self._previous_epoch_detail = self.epoch + \
(self.current_position - self.batch_size) / len(self.dataset)
if self.epoch_detail > 0:
self._previous_epoch_detail = max(
self._previous_epoch_detail, 0.)
else:
self._previous_epoch_detail = -1.
2.2.6 Define Updater¶
We use Backpropagation through time (BPTT) for optimize the RNNLM. BPTT can be implemented by
overriding update_core()
method of StandardUpdater
. First,
in the constructor of the BPTTUpdater
, it takes bprop_len
as an argument in addition
to other arguments StandardUpdater
needs. bprop_len
defines the
length of sequence \(T\) to calculate the loss:
where \(\hat{P}({\bf x}_t^n)\) is a probability for \(n\)-th word in the vocabulary at the position \(t\) in the training data sequence.
class BPTTUpdater(training.updaters.StandardUpdater):
def __init__(self, train_iter, optimizer, bprop_len, device):
super(BPTTUpdater, self).__init__(
train_iter, optimizer, device=device)
self.bprop_len = bprop_len
# The core part of the update routine can be customized by overriding.
def update_core(self):
loss = 0
# When we pass one iterator and optimizer to StandardUpdater.__init__,
# they are automatically named 'main'.
train_iter = self.get_iterator('main')
optimizer = self.get_optimizer('main')
# Progress the dataset iterator for bprop_len words at each iteration.
for i in range(self.bprop_len):
# Get the next batch (a list of tuples of two word IDs)
batch = train_iter.__next__()
# Concatenate the word IDs to matrices and send them to the device
# self.converter does this job
# (it is chainer.dataset.concat_examples by default)
x, t = self.converter(batch, self.device)
# Compute the loss at this time step and accumulate it
loss += optimizer.target(chainer.Variable(x), chainer.Variable(t))
optimizer.target.cleargrads() # Clear the parameter gradients
loss.backward() # Backprop
loss.unchain_backward() # Truncate the graph
optimizer.update() # Update the parameters
2.2.7 Define Evaluation Function (Perplexity)¶
Define a function to calculate the perplexity from the loss value. If we take \(e\) as \(b\) in the above definition of perplexity, calculating the perplexity is just to give the loss value to the power of \(e\):
def compute_perplexity(result):
result['perplexity'] = np.exp(result['main/loss'])
if 'validation/main/loss' in result:
result['val_perplexity'] = np.exp(result['validation/main/loss'])
2.2.8 Create Iterator¶
Here, the code below just creates iterator objects from dataset splits (train/val/test).
train_iter = ParallelSequentialIterator(train, args.batchsize)
val_iter = ParallelSequentialIterator(val, 1, repeat=False)
test_iter = ParallelSequentialIterator(test, 1, repeat=False)
2.2.9 Create RNN and Classification Model¶
Instantiate RNNLM model and wrap it with chainer.links.Classifier
because it calculates softmax cross entropy as the loss.
rnn = RNNForLM(n_vocab, args.unit)
model = L.Classifier(rnn)
model.compute_accuracy = False # we only want the perplexity
Note that Classifier
computes not only the loss but also accuracy based on a given
input/label pair. To learn the RNN language model, we only need the loss (cross entropy) in the
Classifier
because we calculate the perplexity instead of classification accuracy to check
the performance of the model. So, we turn off computing the accuracy by giving False to
model.compute_accuracy
attribute.
2.2.10 Setup Optimizer¶
Prepare an optimizer. Here, we use GradientClipping
to prevent gradient explosion. It automatically clips
the gradient to be used to update the parameters in the model with given constant
gradclip
.
optimizer = chainer.optimizers.SGD(lr=1.0)
optimizer.setup(model)
optimizer.add_hook(chainer.optimizer_hooks.GradientClipping(args.gradclip))
2.2.11 Setup and Run Trainer¶
Let’s make a trainer object and start the training! Note that we add an
eval_hook
to the Evaluator
extension to reset the internal states before starting evaluation process. It can prevent to use
training data during evaluating the model.
updater = BPTTUpdater(train_iter, optimizer, args.bproplen, args.gpu)
trainer = training.Trainer(updater, (args.epoch, 'epoch'), out=args.out)
eval_model = model.copy() # Model with shared params and distinct states
eval_rnn = eval_model.predictor
trainer.extend(extensions.Evaluator(
val_iter, eval_model, device=args.gpu,
# Reset the RNN state at the beginning of each evaluation
eval_hook=lambda _: eval_rnn.reset_state()))
interval = 10 if args.test else 500
trainer.extend(extensions.LogReport(postprocess=compute_perplexity,
trigger=(interval, 'iteration')))
trainer.extend(extensions.PrintReport(
['epoch', 'iteration', 'perplexity', 'val_perplexity']
), trigger=(interval, 'iteration'))
trainer.extend(extensions.ProgressBar(
update_interval=1 if args.test else 10))
trainer.extend(extensions.snapshot())
trainer.extend(extensions.snapshot_object(
model, 'model_iter_{.updater.iteration}'))
if args.resume:
chainer.serializers.load_npz(args.resume, trainer)
trainer.run()
2.2.12 Evaluate the trained model on test dataset¶
Let’s see the perplexity on the test split. Trainer
’s extension can be used as just a normal function
outside of Trainer
.
print('test')
eval_rnn.reset_state()
evaluator = extensions.Evaluator(test_iter, eval_model, device=args.gpu)
result = evaluator()
print('test perplexity:', np.exp(float(result['main/loss'])))
2.3 Run Example¶
2.3.1 Training the model¶
You can train the model with the script: examples/ptb/train_ptb.py
$ pwd
/root2chainer/chainer/examples/ptb
$ python train_ptb.py --test # run by test mode. If you want to use all data, remove "--test".
Downloading from https://raw.githubusercontent.com/wojzaremba/lstm/master/data/ptb.train.txt...
Downloading from https://raw.githubusercontent.com/wojzaremba/lstm/master/data/ptb.valid.txt...
Downloading from https://raw.githubusercontent.com/wojzaremba/lstm/master/data/ptb.test.txt...
#vocab = 10000
test
test perplexity: 29889.9857364
2.3.2 Generating sentences¶
You can generate the sentence which starts with a word in the vocabulary. In this example, we generate a sentence which starts with the word apple. We use the script in the PTB example of the official repository: examples/ptb/gentxt.py
$ pwd
/root2chainer/chainer/examples/ptb
$ python gentxt.py -m model.npz -p apple
apple a new u.s. economist with <unk> <unk> fixed more than to N the company said who is looking back to
Word2Vec: Obtain word embeddings¶
0. Introduction¶
Word2vec is the tool for generating the distributed representation of words, which is proposed by Mikolov et al[1]. When the tool assigns a real-valued vector to each word, the closer the meanings of the words, the greater similarity the vectors will indicate.
Distributed representation means assigning a real-valued vector for each word and representing the word by the vector. When representing a word by distributed representation, we call the word embeddings. In this tutorial, we aim at explaining how to get the word embeddings from Penn Tree Bank dataset.
Let’s think about what the meaning of word is. Since we are human, we can understand that the words “animal” and “dog” are deeply related each other. But what information will Word2vec use to learn the vectors for words? The words “animal” and “dog” should have similar vectors, but the words “food” and “dog” should be far from each other. How to know the features of those words automatically?
1. Basic Idea¶
Word2vec learns the similarity of word meanings from simple information. It learns the representation of words from sentences. The core idea is based on the assumption that the meaning of a word is affected by the words around it. This idea follows distributional hypothesis[2].
The word we focus on to learn its representation is called center word, and the words around it are called context words. The window size \(C\) determines the number of context words which is considered.
Here, let’s see the algorithm by using an example sentence: “The cute cat jumps over the lazy dog.”.
- All of the following figures consider “cat” as the center word.
- According to the window size \(C\), you can see that the number of context words is changed.

2. Main Algorithm¶
Word2vec, the tool for creating the word embeddings, is actually built with two models, which are called Skip-gram and CBoW.
To explain the models with the figures below, we will use the following symbols.
Symbol | Definition |
---|---|
\(|\mathcal{V}|\) | The size of vocabulary |
\(D\) | The size of embedding vector |
\({\bf v}_t\) | A one-hot center word vector |
\(V_{t \pm C}\) | A set of \(2C\) context vectors around \({\bf v}_t\), namely, \(\{{\bf v}_{t+c}\}_{c=-C}^C \backslash {\bf v}_t\) |
\({\bf l}_H\) | An embedding vector of an input word vector |
\({\bf l}_O\) | An output vector of the network |
\({\bf W}_H\) | The embedding matrix for inputs |
\({\bf W}_O\) | The embedding matrix for outputs |
Note
Using negative sampling or hierarchical softmax for the loss function is very common, however, in this tutorial, we will use the softmax over all words and skip the other variants for the sake of simplicity.
2.1 Skip-gram¶
This model learns to predict context words \(V_{t \pm C}\) when a center word \({\bf v}_t\) is given. In the model, each row of the embedding matrix for input \({\bf W}_H\) becomes a word embedding of each word.
When you input a center word \({\bf v}_t\) into the network, you can predict one of context words \(\hat {\bf v}_{t+c} \in V_{t \pm C}\) as follows:
- Calculate an embedding vector of the input center word vector: \({\bf l}_H = {\bf W}_H {\bf v}_t\)
- Calculate an output vector of the embedding vector: \({\bf l}_O = {\bf W}_O {\bf l}_H\)
- Calculate a probability vector of a context word: \(\hat {\bf v}_{t+c} = \text{softmax}({\bf l}_O)\)
Each element of the \(|\mathcal{V}|\)-dimensional vector \(\hat {\bf v}_{t+c}\) is a probability that a word in the vocabulary turns out to be a context word at position \(c\). So, the probability \(p({\bf v}_{t+c}|{\bf v}_t)\) can be estimated by a dot product of the one-hot vector \({\bf v}_{t+c}\) which represents the actual word at the position \(c\) and the output vector \(\hat {\bf v}_{t+c}\).
The loss function to predict all the context words \(V_{t \pm C}\) given a center word \({\bf v}_t\) is defined as follows:
2.2 Continuous Bag of Words (CBoW)¶
This model learns to predict center word \({\bf v}_t\) when context words \(V_{t \pm C}\) is given. When you give a set of context words \(V_{t \pm C}\) to the network, you can estimate the probability of the center word \(\hat {\bf v}_t\) as follows:
- Calculate a mean embedding vector over all context words: \({\bf l}_H = \frac{1}{2C} \sum_{V_{t \pm C}} {\bf W}_H {\bf v}_{t+c}\)
- Calculate an output vector of the embedding vector: \({\bf l}_O = {\bf W}_O {\bf l}_H\)
- Calculate a probability vector of a center word: \(\hat {\bf v}_t = \text{softmax}({\bf l}_O)\)
Each element of the \(|\mathcal{V}|\)-dimensional vector \(\hat {\bf v}_t\) is a probability that a word in the vocabulary turns out to be a center word. So, the probability \(p({\bf v}_t|V_{t \pm C})\) can be estimated by a dot product of the one-hot vector \({\bf v}_t\) which represents the actual center word and the output vector \(\hat {\bf v}_t\).
The loss function to predict the center word \({\bf v}_t\) given context words \(V_{t \pm C}\) is defined as follows:
3. Details of Skip-gram¶
In this tutorial, we mainly explain Skip-gram model because
- It is easier to understand the algorithm than CBoW.
- Even if the number of words increases, the accuracy is largely maintained. So, it is more scalable.
So, let’s think about a concrete example of calculating Skip-gram under this setup:
- The size of vocabulary \(|\mathcal{V}|\) is 10.
- The size of embedding vector \(D\) is 2.
- Center word is “dog”.
- Context word is “animal”.
Since there should be more than one context word, repeat the following process for each context word.
- The one-hot vector of “dog” is
[0 0 1 0 0 0 0 0 0 0]
and you input it as the center word. - The third row of embedding matrix \({\bf W}_H\) is used for the word embedding of “dog” \({\bf l}_H\).
- Then, multiply \({\bf W}_O\) with \({\bf l}_H\) to obtain the output vector \({\bf l}_O\).
- Give \({\bf l}_O\) to the softmax function to make it a predicted probability vector \(\hat {\bf v}_{t+c}\) for a context word at the position \(c\).
- Calculate the error between \(\hat {\bf v}_{t+c}\) and the one-hot vector
of “animal”;
[1 0 0 0 0 0 0 0 0 0 0]
. - Propagate the error back to the network to update the parameters.

4. Implementation of Skip-gram in Chainer¶
There is an example of Word2vec in the official repository of Chainer, so we will explain how to implement Skip-gram based on this: examples/word2vec
4.1 Preparation¶
First, let’s import necessary packages:
import argparse
import collections
import numpy as np
import six
import chainer
from chainer.backends import cuda
import chainer.functions as F
import chainer.initializers as I
import chainer.links as L
import chainer.optimizers as O
from chainer import reporter
from chainer import training
from chainer.training import extensions
4.2 Define a Skip-gram model¶
Next, let’s define a network for Skip-gram.
class SkipGram(chainer.Chain):
"""Definition of Skip-gram Model"""
def __init__(self, n_vocab, n_units, loss_func):
super(SkipGram, self).__init__()
with self.init_scope():
self.embed = L.EmbedID(
n_vocab, n_units, initialW=I.Uniform(1. / n_units))
self.loss_func = loss_func
def __call__(self, x, contexts):
e = self.embed(contexts)
batch_size, n_context, n_units = e.shape
x = F.broadcast_to(x[:, None], (batch_size, n_context))
e = F.reshape(e, (batch_size * n_context, n_units))
x = F.reshape(x, (batch_size * n_context,))
loss = self.loss_func(e, x)
reporter.report({'loss': loss}, self)
return loss
class SoftmaxCrossEntropyLoss(chainer.Chain):
"""Softmax cross entropy loss function preceded by linear transformation.
"""
def __init__(self, n_in, n_out):
super(SoftmaxCrossEntropyLoss, self).__init__()
with self.init_scope():
self.out = L.Linear(n_in, n_out, initialW=0)
def __call__(self, x, t):
return F.softmax_cross_entropy(self.out(x), t)
Note
- The weight matrix
self.embed.W
is the embedding matrix for input vectorx
. - The function call
__call__
takes the word ID of a center wordx
and word IDs of context words contexts as inputs, and outputs the error calculated by the loss functionloss_func
s.t.SoftmaxCrossEntropyLoss
. - Note that the initial shape of
x
and contexts are(batch_size,)
and(batch_size, n_context)
, respectively. - The
batch_size
means the size of mini-batch, andn_context
means the number of context words.
First, we obtain the embedding vectors of contexts by e = self.embed(contexts)
.
Then F.broadcast_to(x[:, None], (batch_size, n_context))
performs broadcasting of
x
(its shape is (batch_size,)
) to (batch_size, n_context)
by copying the
same value n_context
time to fill the second axis, and then the broadcasted x
is reshaped into 1-D vector (batchsize * n_context,)
while e
is reshaped to
(batch_size * n_context, n_units)
.
In Skip-gram model, predicting a context word from the center word is the same as
predicting the center word from a context word because the center word is always
a context word when considering the context word as a center word. So, we create
batch_size * n_context
center word predictions by applying self.out
linear
layer to the embedding vectors of context words. Then, calculate softmax cross
entropy between the broadcasted center word ID x and the predictions.
4.3 Prepare dataset and iterator¶
Let’s retrieve the Penn Tree Bank (PTB) dataset by using Chainer’s dataset utility
get_ptb_words()
method.
train, val, _ = chainer.datasets.get_ptb_words()
counts = collections.Counter(train)
Then define an iterator to make mini-batches that contain a set of center words with their context words.
train
and val
means training data and validation data. Each data contains
the list of Document IDs:
>>> train array([ 0, 1, 2, ..., 39, 26, 24], dtype=int32) >>> val array([2211, 396, 1129, ..., 108, 27, 24], dtype=int32)
class WindowIterator(chainer.dataset.Iterator):
"""Dataset iterator to create a batch of sequences at different positions.
This iterator returns a pair of the current words and the context words.
"""
def __init__(self, dataset, window, batch_size, repeat=True):
self.dataset = np.array(dataset, np.int32)
self.window = window # size of context window
self.batch_size = batch_size
self._repeat = repeat
# order is the array which is shuffled ``[window, window + 1, ...,
# len(dataset) - window - 1]``
self.order = np.random.permutation(
len(dataset) - window * 2).astype(np.int32)
self.order += window
self.current_position = 0
# Number of completed sweeps over the dataset. In this case, it is
# incremented if every word is visited at least once after the last
# increment.
self.epoch = 0
# True if the epoch is incremented at the last iteration.
self.is_new_epoch = False
def __next__(self):
"""This iterator returns a list representing a mini-batch.
Each item indicates a different position in the original sequence.
"""
if not self._repeat and self.epoch > 0:
raise StopIteration
i = self.current_position
i_end = i + self.batch_size
position = self.order[i:i_end]
w = np.random.randint(self.window - 1) + 1
offset = np.concatenate([np.arange(-w, 0), np.arange(1, w + 1)])
pos = position[:, None] + offset[None, :]
contexts = self.dataset.take(pos)
center = self.dataset.take(position)
if i_end >= len(self.order):
np.random.shuffle(self.order)
self.epoch += 1
self.is_new_epoch = True
self.current_position = 0
else:
self.is_new_epoch = False
self.current_position = i_end
return center, contexts
@property
def epoch_detail(self):
return self.epoch + float(self.current_position) / len(self.order)
def serialize(self, serializer):
self.current_position = serializer('current_position',
self.current_position)
self.epoch = serializer('epoch', self.epoch)
self.is_new_epoch = serializer('is_new_epoch', self.is_new_epoch)
if self._order is not None:
serializer('_order', self._order)
- In the constructor, we create an array
self.order
which denotes shuffled indices of[window, window + 1, ..., len(dataset) - window - 1]
in order to choose a center word randomly from dataset in a mini-batch. - The iterator definition
__next__
returnsbatch_size
sets of center word and context words. - The code
self.order[i:i_end]
returns the indices for a set of center words from the random-ordered arrayself.order
. The center word IDs center at the random indices are retrieved byself.dataset.take
. np.concatenate([np.arange(-w, 0), np.arange(1, w + 1)])
creates a set of offsets to retrieve context words from the dataset.- The code
position[:, None] + offset[None, :]
generates the indices of context words for each center word index in position. The context word IDs context are retrieved byself.dataset.take
.
4.4 Prepare model, optimizer, and updater¶
model = SkipGram(n_vocab, args.unit, loss_func)
optimizer = O.Adam()
optimizer.setup(model)
train_iter = WindowIterator(train, args.window, args.batchsize)
val_iter = WindowIterator(val, args.window, args.batchsize, repeat=False)
# Set up an updater
updater = training.updaters.StandardUpdater(
train_iter, optimizer, converter=convert, device=args.gpu)
trainer = training.Trainer(updater, (args.epoch, 'epoch'), out=args.out)
trainer.extend(extensions.Evaluator(
val_iter, model, converter=convert, device=args.gpu))
trainer.extend(extensions.LogReport())
trainer.extend(extensions.PrintReport(
['epoch', 'main/loss', 'validation/main/loss']))
trainer.extend(extensions.ProgressBar())
trainer.run()
4.5 Start training¶
$ pwd
/root2chainer/chainer/examples/word2vec
$ python train_word2vec.py --test # run by test mode. If you want to use all data, remove "--test".
GPU: -1
# unit: 100
Window: 5
Minibatch-size: 1000
# epoch: 20
Training model: skipgram
Output type: hsm
n_vocab: 10000
data length: 100
epoch main/loss validation/main/loss
1 4233.75 2495.33
2 1411.14 4990.66
3 4233.11 1247.66
4 2821.66 4990.65
5 4231.94 1247.66
6 5642.04 2495.3
7 5640.82 4990.64
8 5639.31 2495.28
9 2817.89 4990.62
10 1408.03 3742.94
11 5633.11 1247.62
12 4221.71 2495.21
13 4219.3 4990.56
14 4216.57 2495.16
15 4213.52 2495.12
16 5616.03 1247.55
17 5611.34 3742.78
18 2800.31 3742.74
19 1397.79 2494.95
20 2794.1 3742.66
4.5 Search the similar words¶
$ pwd
/root2chainer/chainer/examples/word2vec
$ python search.py
>> apple
query: apple
compaq: 0.6169619560241699
chip: 0.49579331278800964
retailer: 0.4904134273529053
maker: 0.4684058427810669
computer: 0.4652436673641205
>> animal
query: animal
beauty: 0.5680124759674072
human: 0.5404794216156006
insulin: 0.5365156531333923
cell: 0.5186758041381836
photographs: 0.5077002048492432
Write a Sequence to Sequence (seq2seq) Model¶
0. Introduction¶
The sequence to sequence (seq2seq) model[1][2] is a learning model that converts an input sequence into an output sequence. In this context, the sequence is a list of symbols, corresponding to the words in a sentence. The seq2seq model has achieved great success in fields such as machine translation, dialogue systems, question answering, and text summarization. All of these tasks can be regarded as the task to learn a model that converts an input sequence into an output sequence.
1. Basic Idea of Seq2seq Model¶
1.1 Overview of Seq2seq Model¶
The Notations of Sequence¶
The seq2seq model converts an input sequence into an output sequence. Let the input sequence and the output sequence be \(\bf X\) and \(\bf Y\). The \(i\)-th element of the input sequence is represented as \({\bf x}_i\), and the \(j\)-th element of the output sequence is also represented as \({\bf y}_j\). Generally, each of the \({\bf x}_i\) and the \({\bf y}_j\) is the one-hot vector of the symbols. For example, in natural language processing(NLP), the one-hot vector represents the word and its size becomes the vocabulary size.
Let’s think about the seq2seq model in the context of NLP. Let the vocabulary of the inputs and the outputs be \({\mathcal V}^{(s)}\) and \({\mathcal V}^{(t)}\), all the elements \({\bf x}_i\) and \({\bf y}_j\) satisfy \({\bf x}_i \in \mathbb{R}^{|{\mathcal V}^{(s)}|}\) and \({\bf y}_i \in \mathbb{R}^{|{\mathcal V}^{(t)}|}\). The input sequence \(\bf X\) and the output sequence \(\bf Y\) are represented as the following equations:
\(I\) and \(J\) are the length of the input sequence and the output sequence. Using the typical NLP notation, \({\bf y}_0\) is the one-hot vector of BOS, which is the virtual word representing the beginning of the sentence, and \({\bf y}_{J+1}\) is that of EOS, which is the virtual word representing the end of the sentence.
The Notations of Conditional Probability \(P({\bf Y}|{\bf X})\)¶
Next, let’s think about the conditional probability \(P({\bf Y}|{\bf X})\) generating the output sequence \(\bf Y\) when the input sequence \(\bf X\) is given. The purpose of seq2seq model is modeling the probability \(P({\bf Y}|{\bf X})\). However, the seq2seq model does not model the probability \(P({\bf Y}|{\bf X})\) directly. Actually, it models the probability \(P({\bf y}_j|{\bf Y}_{<j}, {\bf X})\), which is the probability of generating the \(j\)-th element of the output sequence \({\bf y}_j\) given the \({\bf Y}_{<j}\) and \({\bf X}\). \({\bf Y}_{<j}\) means the output sequence from \(1\) to \(j-1\), or \(({\bf y}_j)_{j=1}^{j-1}\). In this notation, you can write the model \(P_{\theta}({\bf Y}|{\bf X})\) with the product of \(P_{\theta}({\bf y}_j|{\bf Y}_{<j}, {\bf X})\):
Processing Steps in Seq2seq Model¶
Now, let’s think about the processing steps in seq2seq model. The feature of seq2seq model is that it consists of the two processes:
- The process that generates the fixed size vector \(\bf z\) from the input sequence \(\bf X\)
- The process that generates the output sequence \(\bf Y\) from \(\bf z\)
In other words, the information of \(\bf X\) is conveyed by \(\bf z\), and \(P_{\theta}({\bf y}_j|{\bf Y}_{<j}, {\bf X})\) is actually calculated by \(P_{\theta}({\bf y}_j|{\bf Y}_{<j}, {\bf z})\).
First, we represent the process which generating \(\bf z\) from \(\bf X\) by the function \(\Lambda\):
The function \(\Lambda\) may be the recurrent neural net such as LSTMs.
Second, we represent the process which generating \(\bf Y\) from \(\bf z\) by the following formula:
\(\Psi\) is the function to generate the hidden vectors \({\bf h}_j^{(t)}\), and \(\Upsilon\) is the function to calculate the generative probability of the one-hot vector \({\bf y}_j\). When \(j=1\), \({\bf h}_{j-1}^{(t)}\) or \({\bf h}_0^{(t)}\) is \(\bf z\) generated by \(\Lambda({\bf X})\), and \({\bf y}_{j-1}\) or \({\bf y}_0\) is the one-hot vector of BOS.
1.2 Model Architecture of Seq2seq Model¶
In this section, we describe the architecture of seq2seq model. To simplify the explanation, we use the most basic architecture. The architecture of seq2seq model can be separated to the five major roles.
- Encoder Embedding Layer
- Encoder Recurrent Layer
- Decoder Embedding Layer
- Decoder Recurrent Layer
- Decoder Output Layer

The encoder consists of two layers: the embedding layer and the recurrent layer, and the decoder consists of three layers: the embedding layer, the recurrent layer, and the output layer.
In the explanation, we use the following symbols:
Symbol | Definition |
---|---|
\(H\) | the size of the hidden vector |
\(D\) | the size of the embedding vector |
\({\bf x}_i\) | the one-hot vector of \(i\)-th word in the input sentence |
\({\bf \bar x}_i\) | the embedding vector of \(i\)-th word in the input sentence |
\({\bf E}^{(s)}\) | Embedding matrix of the encoder |
\({\bf h}_i^{(s)}\) | the \(i\)-th hidden vector of the encoder |
\({\bf y}_j\) | the one-hot vector of \(j\)-th word in the output sentence |
\({\bf \bar y}_j\) | the embedding vector of \(j\)-th word in the output sentence |
\({\bf E}^{(t)}\) | Embedding matrix of the decoder |
\({\bf h}_j^{(t)}\) | the \(j\)-th hidden vector of the decoder |
1.2.1 Encoder Embedding Layer¶
The first layer, or the encoder embedding layer converts the each word in the input sentence to the embedding vector. When processing the \(i\)-th word in the input sentence, the input and the output of the layer are the following:
- The input is \({\bf x}_i\) : the one-hot vector which represents \(i\)-th word
- The output is \({\bf \bar x}_i\) : the embedding vector which represents \(i\)-th word
Each embedding vector is calculated by the following equation:
\({\bf E}^{(s)} \in {\mathbb R}^{D \times |{\mathcal V}^{(s)}|}\) is the embedding matrix of the encoder.
1.2.2 Encoder Recurrent Layer¶
The encoder recurrent layer generates the hidden vectors from the embedding vectors. When processing the \(i\)-th embedding vector, the input and the output of the layer are the following:
- The input is \({\bf \bar x}_i\) : the embedding vector which represents the \(i\)-th word
- The output is \({\bf h}_i^{(s)}\) : the hidden vector of the \(i\)-th position
For example, when using the uni-directional RNN of one layer, the process can be represented as the following function \(\Psi^{(s)}\):
In this case, we use the \({\rm tanh}\) as the activation function.
1.2.3 Decoder Embedding Layer¶
The decoder embedding layer converts the each word in the output sentence to the embedding vector. When processing the \(j\)-th word in the output sentence, the input and the output of the layer are the following:
- The input is \({\bf y}_{j-1}\) : the one-hot vector which represents the \((j-1)\)-th word generated by the decoder output layer
- The output is \({\bf \bar y}_j\) : the embedding vector which represents the \((j-1)\)-th word
Each embedding vector is calculated by the following equation:
\({\bf E}^{(t)} \in {\mathbb R}^{D \times |{\mathcal V}^{(t)}|}\) is the embedding matrix of the encoder.
1.2.4 Decoder Recurrent Layer¶
The decoder recurrent layer generates the hidden vectors from the embedding vectors. When processing the \(j\)-th embedding vector, the input and the output of the layer are the following:
- The input is \({\bf \bar y}_j\) : the embedding vector
- The output is \({\bf h}_j^{(t)}\) : the hidden vector of \(j\)-th position
For example, when using the uni-directional RNN of one layer, the process can be represented as the following function \(\Psi^{(t)}\):
In this case, we use the \({\rm tanh}\) as the activation function. And we must use the encoder’s hidden vector of the last position as the decoder’s hidden vector of first position as following:
1.2.5 Decoder Output Layer¶
The decoder output layer generates the probability of the \(j\)-th word of the output sentence from the hidden vector. When processing the \(j\)-th embedding vector, the input and the output of the layer are the following:
- The input is \({\bf h}_j^{(t)}\) : the hidden vector of \(j\)-th position
- The output is \(p_j\) : the probability of generating the one-hot vector \({\bf y}_j\) of the \(j\)-th word
Note
There are a lot of varieties of seq2seq models. We can use the different RNN models in terms of: (1) directionality (unidirectional or bidirectional), (2) depth (single-layer or multi-layer), (3) type (a vanilla RNN, a Long Short-term Memory (LSTM), or a gated recurrent unit (GRU)), and (4) additional functionality (s.t. Attention Mechanism).
2. Implementation of Seq2seq Model¶
The official Chainer repository includes a neural machine translation example using the seq2seq model. We will now provide an overview of the example and explain its implementation in detail. chainer/examples/seq2seq
2.1 Model Overview¶
In this simple example, an input sequence is processed by a stacked LSTM-RNN (long short-term memory recurrent neural networks) and it is encoded as a fixed-size vector. The output sequence is also processed by another stacked LSTM-RNN. At decoding time, an output sequence is generated using argmax.

2.2 Step-by-step Implementation¶
2.2.1 Import Package¶
First, let’s import necessary packages.
from nltk.translate import bleu_score
import numpy
import progressbar
import six
import chainer
from chainer.backends import cuda
import chainer.functions as F
import chainer.links as L
from chainer import training
from chainer.training import extensions
2.2.2 Define Training Settings¶
Define all training settings here.
parser.add_argument('SOURCE', help='source sentence list')
parser.add_argument('TARGET', help='target sentence list')
parser.add_argument('SOURCE_VOCAB', help='source vocabulary file')
parser.add_argument('TARGET_VOCAB', help='target vocabulary file')
parser.add_argument('--validation-source',
help='source sentence list for validation')
parser.add_argument('--validation-target',
help='target sentence list for validation')
parser.add_argument('--batchsize', '-b', type=int, default=64,
help='number of sentence pairs in each mini-batch')
parser.add_argument('--epoch', '-e', type=int, default=20,
help='number of sweeps over the dataset to train')
parser.add_argument('--gpu', '-g', type=int, default=-1,
help='GPU ID (negative value indicates CPU)')
parser.add_argument('--resume', '-r', default='',
help='resume the training from snapshot')
parser.add_argument('--unit', '-u', type=int, default=1024,
help='number of units')
parser.add_argument('--layer', '-l', type=int, default=3,
help='number of layers')
parser.add_argument('--min-source-sentence', type=int, default=1,
help='minimium length of source sentence')
parser.add_argument('--max-source-sentence', type=int, default=50,
help='maximum length of source sentence')
parser.add_argument('--min-target-sentence', type=int, default=1,
help='minimium length of target sentence')
parser.add_argument('--max-target-sentence', type=int, default=50,
help='maximum length of target sentence')
parser.add_argument('--log-interval', type=int, default=200,
help='number of iteration to show log')
parser.add_argument('--validation-interval', type=int, default=4000,
help='number of iteration to evlauate the model '
'with validation dataset')
parser.add_argument('--out', '-o', default='result',
help='directory to output the result')
2.2.3 Define Network Structure¶
The Chainer implementation of seq2seq is shown below. It implements the model depicted in the above figure.
class Seq2seq(chainer.Chain):
def __init__(self, n_layers, n_source_vocab, n_target_vocab, n_units):
super(Seq2seq, self).__init__()
with self.init_scope():
self.embed_x = L.EmbedID(n_source_vocab, n_units)
self.embed_y = L.EmbedID(n_target_vocab, n_units)
self.encoder = L.NStepLSTM(n_layers, n_units, n_units, 0.1)
self.decoder = L.NStepLSTM(n_layers, n_units, n_units, 0.1)
self.W = L.Linear(n_units, n_target_vocab)
self.n_layers = n_layers
self.n_units = n_units
def __call__(self, xs, ys):
xs = [x[::-1] for x in xs]
eos = self.xp.array([EOS], numpy.int32)
ys_in = [F.concat([eos, y], axis=0) for y in ys]
ys_out = [F.concat([y, eos], axis=0) for y in ys]
# Both xs and ys_in are lists of arrays.
exs = sequence_embed(self.embed_x, xs)
eys = sequence_embed(self.embed_y, ys_in)
batch = len(xs)
# None represents a zero vector in an encoder.
hx, cx, _ = self.encoder(None, None, exs)
_, _, os = self.decoder(hx, cx, eys)
# It is faster to concatenate data before calculating loss
# because only one matrix multiplication is called.
concat_os = F.concat(os, axis=0)
concat_ys_out = F.concat(ys_out, axis=0)
loss = F.sum(F.softmax_cross_entropy(
self.W(concat_os), concat_ys_out, reduce='no')) / batch
chainer.report({'loss': loss.data}, self)
n_words = concat_ys_out.shape[0]
perp = self.xp.exp(loss.data * batch / n_words)
chainer.report({'perp': perp}, self)
return loss
def translate(self, xs, max_length=100):
batch = len(xs)
with chainer.no_backprop_mode(), chainer.using_config('train', False):
xs = [x[::-1] for x in xs]
exs = sequence_embed(self.embed_x, xs)
h, c, _ = self.encoder(None, None, exs)
ys = self.xp.full(batch, EOS, numpy.int32)
result = []
for i in range(max_length):
eys = self.embed_y(ys)
eys = F.split_axis(eys, batch, 0)
h, c, ys = self.decoder(h, c, eys)
cys = F.concat(ys, axis=0)
wy = self.W(cys)
ys = self.xp.argmax(wy.data, axis=1).astype(numpy.int32)
result.append(ys)
# Using `xp.concatenate(...)` instead of `xp.stack(result)` here to
# support NumPy 1.9.
result = cuda.to_cpu(
self.xp.concatenate([self.xp.expand_dims(x, 0) for x in result]).T)
# Remove EOS taggs
outs = []
for y in result:
inds = numpy.argwhere(y == EOS)
if len(inds) > 0:
y = y[:inds[0, 0]]
outs.append(y)
return outs
- In
Seq2seq
, three functions are defined: the constructor__init__
, the function call__call__
, and the function for translationtranslate
.
def __init__(self, n_layers, n_source_vocab, n_target_vocab, n_units):
super(Seq2seq, self).__init__()
with self.init_scope():
self.embed_x = L.EmbedID(n_source_vocab, n_units)
self.embed_y = L.EmbedID(n_target_vocab, n_units)
self.encoder = L.NStepLSTM(n_layers, n_units, n_units, 0.1)
self.decoder = L.NStepLSTM(n_layers, n_units, n_units, 0.1)
self.W = L.Linear(n_units, n_target_vocab)
self.n_layers = n_layers
self.n_units = n_units
- When we instantiate this class for making a model, we give the number of
stacked lstms to
n_layers
, the vocabulary size of the source language ton_source_vocab
, the vocabulary size of the target language ton_target_vocab
, and the size of hidden vectors ton_units
. - This network uses
chainer.links.NStepLSTM
,chainer.links.EmbedID
, andchainer.links.Linear
as its building blocks. All the layers are registered and initialized in the context withself.init_scope()
. - You can access all the parameters in those layers by calling
self.params()
. - In the constructor, it initializes all parameters with values sampled from a uniform distribution \(U(-1, 1)\).
def __call__(self, xs, ys):
xs = [x[::-1] for x in xs]
eos = self.xp.array([EOS], numpy.int32)
ys_in = [F.concat([eos, y], axis=0) for y in ys]
ys_out = [F.concat([y, eos], axis=0) for y in ys]
# Both xs and ys_in are lists of arrays.
exs = sequence_embed(self.embed_x, xs)
eys = sequence_embed(self.embed_y, ys_in)
batch = len(xs)
# None represents a zero vector in an encoder.
hx, cx, _ = self.encoder(None, None, exs)
_, _, os = self.decoder(hx, cx, eys)
# It is faster to concatenate data before calculating loss
# because only one matrix multiplication is called.
concat_os = F.concat(os, axis=0)
concat_ys_out = F.concat(ys_out, axis=0)
loss = F.sum(F.softmax_cross_entropy(
self.W(concat_os), concat_ys_out, reduce='no')) / batch
chainer.report({'loss': loss.data}, self)
n_words = concat_ys_out.shape[0]
perp = self.xp.exp(loss.data * batch / n_words)
chainer.report({'perp': perp}, self)
return loss
The
__call__
method takes sequences of source language’s word IDsxs
and sequences of target language’s word IDsys
. Each sequence represents a sentence, and the size ofxs
is mini-batch size.Note that the sequences of word IDs
xs
andys
are converted to a vocabulary-size one-hot vectors and then multiplied with the embedding matrix insequence_embed
to obtain embedding vectorsexs
andeys
.seq2seq.py¶def sequence_embed(embed, xs): x_len = [len(x) for x in xs] x_section = numpy.cumsum(x_len[:-1]) ex = embed(F.concat(xs, axis=0)) exs = F.split_axis(ex, x_section, 0) return exs
self.encoder
andself.decoder
are the encoder and the decoder of the seq2seq model. Each element of the decoder outputos
is \(h_{[1:J]}^{(t)}\) in the figure above.After calculating the recurrent layer output, the loss
loss
and the perplexityperp
are calculated, and the values are logged bychainer.report
.
Note
It is well known that the seq2seq model learns much better when the source
sentences are reversed.
The paper[1] says that “While the LSTM is capable of solving problems with
long term dependencies, we discovered that the LSTM learns much better when
the source sentences are reversed (the target sentences are not reversed).
By doing so, the LSTM’s test perplexity dropped from 5.8 to 4.7, and the test
BLEU scores of its decoded translations increased from 25.9 to 30.6.”
So, at the first line in the __call__
, the input sentences are reversed
xs = [x[::-1] for x in xs]
.
def translate(self, xs, max_length=100):
batch = len(xs)
with chainer.no_backprop_mode(), chainer.using_config('train', False):
xs = [x[::-1] for x in xs]
exs = sequence_embed(self.embed_x, xs)
h, c, _ = self.encoder(None, None, exs)
ys = self.xp.full(batch, EOS, numpy.int32)
result = []
for i in range(max_length):
eys = self.embed_y(ys)
eys = F.split_axis(eys, batch, 0)
h, c, ys = self.decoder(h, c, eys)
cys = F.concat(ys, axis=0)
wy = self.W(cys)
ys = self.xp.argmax(wy.data, axis=1).astype(numpy.int32)
result.append(ys)
# Using `xp.concatenate(...)` instead of `xp.stack(result)` here to
# support NumPy 1.9.
result = cuda.to_cpu(
self.xp.concatenate([self.xp.expand_dims(x, 0) for x in result]).T)
# Remove EOS taggs
outs = []
for y in result:
inds = numpy.argwhere(y == EOS)
if len(inds) > 0:
y = y[:inds[0, 0]]
outs.append(y)
return outs
- After the model learned the parameters, the function
translate
is called to generate the translated sentencesouts
from the source sentencesxs
. - So as not to change the parameters, the codes for the translation are nested
in the scope
chainer.no_backprop_mode()
andchainer.using_config('train', False)
.
2.2.4 Load French-English Corpus from WMT15 Dataset¶
In this tutorial, we use French-English corpus from WMT15 website that contains 10^9 documents. We must prepare additional libraries, dataset, and parallel corpus. To understand the pre-processing, see 2.3.1 Requirements.
After the pre-processing the dataset, let’s make dataset objects:
# Load pre-processed dataset
source_ids = load_vocabulary(args.SOURCE_VOCAB)
target_ids = load_vocabulary(args.TARGET_VOCAB)
train_source = load_data(source_ids, args.SOURCE)
train_target = load_data(target_ids, args.TARGET)
assert len(train_source) == len(train_target)
train_data = [
(s, t)
for s, t in six.moves.zip(train_source, train_target)
if (args.min_source_sentence <= len(s) <= args.max_source_sentence and
args.min_target_sentence <= len(t) <= args.max_target_sentence)]
train_source_unknown = calculate_unknown_ratio(
[s for s, _ in train_data])
train_target_unknown = calculate_unknown_ratio(
[t for _, t in train_data])
print('Source vocabulary size: %d' % len(source_ids))
print('Target vocabulary size: %d' % len(target_ids))
print('Train data size: %d' % len(train_data))
print('Train source unknown ratio: %.2f%%' % (train_source_unknown * 100))
print('Train target unknown ratio: %.2f%%' % (train_target_unknown * 100))
target_words = {i: w for w, i in target_ids.items()}
source_words = {i: w for w, i in source_ids.items()}
This code uses utility functions below:
seq2seq.py¶def load_vocabulary(path): with open(path) as f: # +2 for UNK and EOS word_ids = {line.strip(): i + 2 for i, line in enumerate(f)} word_ids['<UNK>'] = 0 word_ids['<EOS>'] = 1 return word_ids
seq2seq.py¶def load_data(vocabulary, path): n_lines = count_lines(path) bar = progressbar.ProgressBar() data = [] print('loading...: %s' % path) with open(path) as f: for line in bar(f, max_value=n_lines): words = line.strip().split() array = numpy.array([vocabulary.get(w, UNK) for w in words], numpy.int32) data.append(array) return data
seq2seq.py¶def calculate_unknown_ratio(data): unknown = sum((s == UNK).sum() for s in data) total = sum(s.size for s in data) return unknown / total
2.2.5 Define Evaluation Function (Bleu Score)¶
BLEU[3] (bilingual evaluation understudy) is the evaluation metric for the quality of text which has been machine-translated from one natural language to another.
class CalculateBleu(chainer.training.Extension):
trigger = 1, 'epoch'
priority = chainer.training.PRIORITY_WRITER
def __init__(
self, model, test_data, key, batch=100, device=-1, max_length=100):
self.model = model
self.test_data = test_data
self.key = key
self.batch = batch
self.device = device
self.max_length = max_length
def __call__(self, trainer):
with chainer.no_backprop_mode():
references = []
hypotheses = []
for i in range(0, len(self.test_data), self.batch):
sources, targets = zip(*self.test_data[i:i + self.batch])
references.extend([[t.tolist()] for t in targets])
sources = [
chainer.dataset.to_device(self.device, x) for x in sources]
ys = [y.tolist()
for y in self.model.translate(sources, self.max_length)]
hypotheses.extend(ys)
bleu = bleu_score.corpus_bleu(
references, hypotheses,
smoothing_function=bleu_score.SmoothingFunction().method1)
chainer.report({self.key: bleu})
2.2.6 Create Iterator¶
Here, the code below just creates iterator objects.
train_iter = chainer.iterators.SerialIterator(train_data, args.batchsize)
2.2.7 Create RNN and Classification Model¶
Instantiate Seq2seq
model.
model = Seq2seq(args.layer, len(source_ids), len(target_ids), args.unit)
2.2.8 Setup Optimizer¶
Prepare an optimizer. We use chainer.optimizers.Adam
.
optimizer = chainer.optimizers.Adam()
optimizer.setup(model)
2.2.9 Setup and Run Trainer¶
Let’s make a trainer object.
updater = training.updaters.StandardUpdater(
train_iter, optimizer, converter=convert, device=args.gpu)
trainer = training.Trainer(updater, (args.epoch, 'epoch'), out=args.out)
trainer.extend(extensions.LogReport(
trigger=(args.log_interval, 'iteration')))
trainer.extend(extensions.PrintReport(
['epoch', 'iteration', 'main/loss', 'validation/main/loss',
'main/perp', 'validation/main/perp', 'validation/main/bleu',
'elapsed_time']),
trigger=(args.log_interval, 'iteration'))
Setup the trainer’s extension to see the BLEU score on the test data.
test_source = load_data(source_ids, args.validation_source)
test_target = load_data(target_ids, args.validation_target)
assert len(test_source) == len(test_target)
test_data = list(six.moves.zip(test_source, test_target))
test_data = [(s, t) for s, t in test_data if 0 < len(s) and 0 < len(t)]
test_source_unknown = calculate_unknown_ratio(
[s for s, _ in test_data])
test_target_unknown = calculate_unknown_ratio(
[t for _, t in test_data])
print('Validation data: %d' % len(test_data))
print('Validation source unknown ratio: %.2f%%' %
(test_source_unknown * 100))
print('Validation target unknown ratio: %.2f%%' %
(test_target_unknown * 100))
@chainer.training.make_extension()
def translate(trainer):
source, target = test_data[numpy.random.choice(len(test_data))]
result = model.translate([model.xp.array(source)])[0]
source_sentence = ' '.join([source_words[x] for x in source])
target_sentence = ' '.join([target_words[y] for y in target])
result_sentence = ' '.join([target_words[y] for y in result])
print('# source : ' + source_sentence)
print('# result : ' + result_sentence)
print('# expect : ' + target_sentence)
trainer.extend(
translate, trigger=(args.validation_interval, 'iteration'))
trainer.extend(
CalculateBleu(
model, test_data, 'validation/main/bleu', device=args.gpu),
trigger=(args.validation_interval, 'iteration'))
Let’s start the training!
trainer.run()
2.3 Run Example¶
2.3.1 Requirements¶
Before running the example, you must prepare additional libraries, dataset, and parallel corpus.
- See the detail description: chainer/examples/seq2seq/README.md
2.3.1 Training the model¶
You can train the model with the script: chainer/examples/seq2seq/seq2seq.py
$ pwd
/root2chainer/chainer/examples/seq2seq
$ python seq2seq.py --gpu=0 giga-fren.preprocess.en giga-fren.preprocess.fr \
vocab.en vocab.fr \
--validation-source newstest2013.preprocess.en \
--validation-target newstest2013.preprocess.fr > log
100% (22520376 of 22520376) |#############| Elapsed Time: 0:09:20 Time: 0:09:20
100% (22520376 of 22520376) |#############| Elapsed Time: 0:10:36 Time: 0:10:36
100% (3000 of 3000) |#####################| Elapsed Time: 0:00:00 Time: 0:00:00
100% (3000 of 3000) |#####################| Elapsed Time: 0:00:00 Time: 0:00:00
epoch iteration main/loss validation/main/loss main/perp validation/main/perp validation/main/bleu elapsed_time
0 200 171.449 991.556 85.6739
0 400 143.918 183.594 172.473
0 600 133.48 126.945 260.315
0 800 128.734 104.127 348.062
0 1000 124.741 91.5988 436.536
...
Note
Before running the script, be careful the locale and the python’s encoding. Please setup them to use utf-8 encoding.
2.3.1 Validate the model¶
While you are training the model, you can get the validation results:
...
# source : We knew the Government had tried many things , like launching <UNK> with <UNK> or organising speed dating evenings .
# result : Nous savions que le gouvernement avait <UNK> plusieurs fois , comme le <UNK> <UNK> , le <UNK> ou le <UNK> <UNK> .
# expect : Nous savions que le gouvernement avait tenté plusieurs choses comme lancer des parfums aux <UNK> ou organiser des soirées de <UNK>
...
Reference¶
Variable and Parameter¶
chainer.Variable |
Array with a structure to keep track of computation. |
chainer.as_variable |
Converts an array or a variable into Variable . |
chainer.Parameter |
Parameter variable that can be registered to a link. |
chainer.variable.VariableNode |
Node in the backward computational graph representing a variable. |
Functions¶
Chainer provides variety of built-in function implementations in chainer.functions
package.
These functions return a Variable
object or a tuple of multiple Variable
objects.
Note
Functions implemented in Chainer consists of the following two parts:
- A class that inherits
FunctionNode
, which defines forward/backward computation. - A “wrapper” function around the class.
APIs listed in this page are “wrapper” of FunctionNode
implementations.
In most cases, you don’t have to use FunctionNode
classes directly.
For example, chainer.functions.sum()
is a wrapper function defined as def sum(...):
in chainer/functions/math/sum.py, and it calls its corresponding FunctionNode
implementation, Sum
.
Some functions may not have the corresponding FunctionNode
implementation; one example is chainer.functions.average()
, which is defined in chainer/functions/math/average.py, which calls other wrapper functions to calculate average.
If you are implementing your own functions, please see Define your own function.
Note
As of v1.5, the concept of parameterized functions are gone, and they are
replaced by corresponding Link
implementations. They are
found in the chainer.links
namespace.
Arithmetic functions¶
Basic arithmetic operations for Variable
s are implemented as operators.
Refer to the Notes section of Variable
for details.
chainer.functions.add()
provides better performance when accumulating three or more Variable
s at once.
chainer.functions.add |
Element-wise addition. |
Activation functions¶
chainer.functions.clipped_relu |
Clipped Rectifier Unit function. |
chainer.functions.crelu |
Concatenated Rectified Linear Unit function. |
chainer.functions.elu |
Exponential Linear Unit function. |
chainer.functions.hard_sigmoid |
Element-wise hard-sigmoid function. |
chainer.functions.leaky_relu |
Leaky Rectified Linear Unit function. |
chainer.functions.log_softmax |
Channel-wise log-softmax function. |
chainer.functions.lstm |
Long Short-Term Memory units as an activation function. |
chainer.functions.maxout |
Maxout activation function. |
chainer.functions.prelu |
Parametric ReLU function. |
chainer.functions.relu |
Rectified Linear Unit function. |
chainer.functions.selu |
Scaled Exponential Linear Unit function. |
chainer.functions.sigmoid |
Element-wise sigmoid logistic function. |
chainer.functions.slstm |
S-LSTM units as an activation function. |
chainer.functions.softmax |
Softmax function. |
chainer.functions.softplus |
Element-wise softplus function. |
chainer.functions.swish |
Swish activation function. |
chainer.functions.tanh |
Elementwise hyperbolic tangent function. |
chainer.functions.tree_lstm |
TreeLSTM unit as an activation function. |
Array manipulations¶
chainer.functions.broadcast |
Broadcast given variables. |
chainer.functions.broadcast_to |
Broadcast a given variable to a given shape. |
chainer.functions.cast |
Cast an input variable to a given type. |
chainer.functions.concat |
Concatenates given variables along an axis. |
chainer.functions.copy |
Copies the input variable onto the specified device. |
chainer.functions.depth2space |
Computes the depth2space transformation for subpixel calculations. |
chainer.functions.dstack |
Concatenate variables along third axis (depth wise). |
chainer.functions.expand_dims |
Expands dimensions of an input variable without copy. |
chainer.functions.flatten |
Flatten a given array into one dimension. |
chainer.functions.flip |
Flips an input variable in reverse order along the given axis. |
chainer.functions.fliplr |
Flip array in the left/right direction. |
chainer.functions.flipud |
Flip array in the up/down direction. |
chainer.functions.get_item |
Extract elements from array with specified shape, axes and offsets. |
chainer.functions.hstack |
Concatenate variables horizontally (column wise). |
chainer.functions.im2col |
Extract patches from an image based on the filter. |
chainer.functions.pad |
Pad an input variable. |
chainer.functions.pad_sequence |
Pad given arrays to make a matrix. |
chainer.functions.permutate |
Permutates a given variable along an axis. |
chainer.functions.repeat |
Construct an array by repeating a given array. |
chainer.functions.reshape |
Reshapes an input variable without copy. |
chainer.functions.resize_images |
Resize images to the given shape. |
chainer.functions.rollaxis |
Roll the axis backwards to the given position. |
chainer.functions.scatter_add |
Adds given values to specified elements of an array. |
chainer.functions.select_item |
Select elements stored in given indices. |
chainer.functions.separate |
Separates an array along a given axis. |
chainer.functions.space2depth |
Computes the space2depth transformation for subpixel calculations. |
chainer.functions.spatial_transformer_grid |
2D Spatial Transformer grid. |
chainer.functions.spatial_transformer_sampler |
2D Spatial Transformer sampler. |
chainer.functions.split_axis |
Splits given variables along an axis. |
chainer.functions.squeeze |
Remove demensions of size one from the shape of a ndarray. |
chainer.functions.stack |
Concatenate variables along a new axis. |
chainer.functions.swapaxes |
Swap two axes of a variable. |
chainer.functions.tile |
Construct an array by tiling a given array. |
chainer.functions.transpose |
Permute the dimensions of an input variable without copy. |
chainer.functions.transpose_sequence |
Transpose a list of Variables. |
chainer.functions.vstack |
Concatenate variables vertically (row wise). |
chainer.functions.where |
Choose elements depending on condition. |
Neural network connections¶
chainer.functions.bilinear |
Applies a bilinear function based on given parameters. |
chainer.functions.convolution_2d |
Two-dimensional convolution function. |
chainer.functions.convolution_nd |
N-dimensional convolution function. |
chainer.functions.deconvolution_2d |
Two dimensional deconvolution function. |
chainer.functions.deconvolution_nd |
N-dimensional deconvolution function. |
chainer.functions.depthwise_convolution_2d |
Two-dimensional depthwise convolution function. |
chainer.functions.dilated_convolution_2d |
Two-dimensional dilated convolution function. |
chainer.functions.embed_id |
Efficient linear function for one-hot input. |
chainer.functions.linear |
Linear function, or affine transformation. |
chainer.functions.local_convolution_2d |
Two-dimensional local convolution function. |
chainer.functions.n_step_bigru |
Stacked Bi-directional Gated Recurrent Unit function. |
chainer.functions.n_step_bilstm |
Stacked Bi-directional Long Short-Term Memory function. |
chainer.functions.n_step_birnn |
Stacked Bi-directional RNN function for sequence inputs. |
chainer.functions.n_step_gru |
Stacked Uni-directional Gated Recurrent Unit function. |
chainer.functions.n_step_lstm |
Stacked Uni-directional Long Short-Term Memory function. |
chainer.functions.n_step_rnn |
Stacked Uni-directional RNN function for sequence inputs. |
chainer.functions.shift |
Shift function. |
Evaluation functions¶
chainer.functions.accuracy |
Computes multiclass classification accuracy of the minibatch. |
chainer.functions.binary_accuracy |
Computes binary classification accuracy of the minibatch. |
chainer.functions.classification_summary |
Calculates Precision, Recall, F beta Score, and support. |
chainer.functions.f1_score |
|
chainer.functions.precision |
|
chainer.functions.r2_score |
Computes R^2(coefficient of determination) regression score function. |
chainer.functions.recall |
Loss functions¶
chainer.functions.absolute_error |
Element-wise absolute error function. |
chainer.functions.bernoulli_nll |
Computes the negative log-likelihood of a Bernoulli distribution. |
chainer.functions.black_out |
BlackOut loss function. |
chainer.functions.connectionist_temporal_classification |
Connectionist Temporal Classification loss function. |
chainer.functions.contrastive |
Computes contrastive loss. |
chainer.functions.crf1d |
Calculates negative log-likelihood of linear-chain CRF. |
chainer.functions.argmax_crf1d |
Computes a state that maximizes a joint probability of the given CRF. |
chainer.functions.cross_covariance |
Computes the sum-squared cross-covariance penalty between y and z |
chainer.functions.decov |
Computes the DeCov loss of h |
chainer.functions.gaussian_kl_divergence |
Computes the KL-divergence of Gaussian variables from the standard one. |
chainer.functions.gaussian_nll |
Computes the negative log-likelihood of a Gaussian distribution. |
chainer.functions.hinge |
Computes the hinge loss for a one-of-many classification task. |
chainer.functions.huber_loss |
Computes the Huber loss. |
chainer.functions.mean_absolute_error |
Mean absolute error function. |
chainer.functions.mean_squared_error |
Mean squared error function. |
chainer.functions.negative_sampling |
Negative sampling loss function. |
chainer.functions.sigmoid_cross_entropy |
Computes cross entropy loss for pre-sigmoid activations. |
chainer.functions.softmax_cross_entropy |
Computes cross entropy loss for pre-softmax activations. |
chainer.functions.squared_error |
Squared error function. |
chainer.functions.triplet |
Computes triplet loss. |
Mathematical functions¶
chainer.functions.absolute |
Element-wise absolute. |
chainer.functions.arccos |
Elementwise arccosine function. |
chainer.functions.arcsin |
Elementwise arcsine function. |
chainer.functions.arctan |
Elementwise arctangent function. |
chainer.functions.arctan2 |
Elementwise arctangent function with two arguments. |
chainer.functions.argmax |
Returns index which holds maximum of array elements over a given axis. |
chainer.functions.argmin |
Returns index which holds minimum of array elements over a given axis. |
chainer.functions.average |
Calculate weighted average of array elements over a given axis. |
chainer.functions.batch_inv |
Computes the inverse of a batch of square matrices. |
chainer.functions.batch_l2_norm_squared |
L2 norm (a.k.a. Euclidean norm) squared. |
chainer.functions.batch_matmul |
Computes the batch matrix multiplications of two sets of arrays. |
chainer.functions.bias |
Elementwise summation with broadcasting. |
chainer.functions.ceil |
Elementwise ceil function. |
chainer.functions.clip |
Clips (limits) elements of input variable. |
chainer.functions.cos |
Elementwise cos function. |
chainer.functions.cosh |
Elementwise hyperbolic cosine function. |
chainer.functions.cumsum |
Cumulative sum of array elements over a given axis. |
chainer.functions.det |
Computes the determinant of a single square matrix. |
chainer.functions.batch_det |
Computes the determinant of a batch of square matrices. |
chainer.functions.erf |
Elementwise error function. |
chainer.functions.erfc |
Elementwise complementary error function. |
chainer.functions.exp |
Elementwise exponential function. |
chainer.functions.expm1 |
Elementwise exponential minus one function. |
chainer.functions.fft |
Fast Fourier transform. |
chainer.functions.fix |
Elementwise fix function. |
chainer.functions.fmod |
Elementwise mod function. |
chainer.functions.floor |
Elementwise floor function. |
chainer.functions.identity |
Just returns input variables. |
chainer.functions.ifft |
Inverse fast Fourier transform. |
chainer.functions.inv |
Computes the inverse of square matrix. |
chainer.functions.linear_interpolate |
Elementwise linear-interpolation function. |
chainer.functions.log |
Elementwise natural logarithm function. |
chainer.functions.log10 |
Elementwise logarithm function to the base 10. |
chainer.functions.log1p |
Elementwise natural logarithm plus one function. |
chainer.functions.log2 |
Elementwise logarithm function to the base 2. |
chainer.functions.logsumexp |
Log-sum-exp of array elements over a given axis. |
chainer.functions.matmul |
Computes the matrix multiplication of two arrays. |
chainer.functions.max |
Maximum of array elements over a given axis. |
chainer.functions.maximum |
Element-wise maximum of input variables. |
chainer.functions.mean |
Calculate weighted average of array elements over a given axis. |
chainer.functions.min |
Minimum of array elements over a given axis. |
chainer.functions.minimum |
Element-wise minimum of input variables. |
chainer.functions.prod |
Product of array elements over a given axis. |
chainer.functions.rsqrt |
Computes elementwise reciprocal of square root of input \(x_i\). |
chainer.functions.scale |
Elementwise product with broadcasting. |
chainer.functions.sin |
Elementwise sin function. |
chainer.functions.sinh |
Elementwise hyperbolic sine function. |
chainer.functions.sign |
Elementwise sign function. |
chainer.functions.sqrt |
Elementwise square root function. |
chainer.functions.square |
Elementwise square function. |
chainer.functions.squared_difference |
Squared difference of input variables. |
chainer.functions.sum |
Sum of array elements over a given axis. |
chainer.functions.tanh |
Elementwise hyperbolic tangent function. |
chainer.functions.tan |
Elementwise tan function. |
chainer.functions.tensordot |
Returns the tensor dot product of two arrays along specified axes. |
Noise injections¶
chainer.functions.dropout |
Drops elements of input variable randomly. |
chainer.functions.gaussian |
Gaussian sampling function. |
chainer.functions.gumbel_softmax |
Gumbel-Softmax sampling function. |
chainer.functions.simplified_dropconnect |
Linear unit regularized by simplified dropconnect. |
chainer.functions.zoneout |
Drops elements of input variable and sets to previous variable randomly. |
Normalization functions¶
chainer.functions.batch_normalization |
Batch normalization function. |
chainer.functions.batch_renormalization |
Batch renormalization function. |
chainer.functions.fixed_batch_normalization |
Batch normalization function with fixed statistics. |
chainer.functions.fixed_batch_renormalization |
|
chainer.functions.layer_normalization |
Layer normalization. |
chainer.functions.local_response_normalization |
Local response normalization across neighboring channels. |
chainer.functions.normalize |
L2 norm squared (a.k.a. Euclidean norm). |
Spatial pooling¶
chainer.functions.average_pooling_2d |
Spatial average pooling function. |
chainer.functions.average_pooling_nd |
N-dimensionally spatial average pooling function. |
chainer.functions.max_pooling_2d |
Spatial max pooling function. |
chainer.functions.max_pooling_nd |
N-dimensionally spatial max pooling function. |
chainer.functions.roi_pooling_2d |
Spatial Region of Interest (ROI) pooling function. |
chainer.functions.spatial_pyramid_pooling_2d |
Spatial pyramid pooling function. |
chainer.functions.unpooling_2d |
Inverse operation of pooling for 2d array. |
chainer.functions.unpooling_nd |
Inverse operation of N-dimensional spatial pooling. |
chainer.functions.upsampling_2d |
Upsampling using pooling indices. |
Utility functions¶
chainer.functions.forget |
Calls a function without storing intermediate results. |
Function base¶
chainer.Function |
Old-style interface of a differentiable function. |
chainer.FunctionAdapter |
Adapter class to wrap Function with FunctionNode. |
chainer.FunctionNode |
Function node of the computational graph. |
chainer.force_backprop_mode |
Make a context manager which enables back-propagation. |
chainer.no_backprop_mode |
Make a context manager which disables back-propagation. |
chainer.grad |
Computes the gradient of output variables w.r.t. the input variables. |
Function hooks¶
Chainer provides a function-hook mechanism that enriches the behavior of forward and backward propagation of FunctionNode
and Function
.
chainer.function_hooks.CUDAProfileHook |
|
chainer.function_hooks.CupyMemoryProfileHook |
Function hook for measuring memory usage of functions in cupy memory pool. |
chainer.function_hooks.PrintHook |
Function hook that prints debug information. |
chainer.function_hooks.TimerHook |
Function hook for measuring elapsed time of functions. |
You can also implement your own function-hook to inject arbitrary code before/after the forward/backward propagation.
chainer.FunctionHook |
Base class of hooks for Functions. |
Link and Chains¶
Chainer provides many Link
implementations in the
chainer.links
package.
Note
Some of the links are originally defined in the chainer.functions
namespace. They are still left in the namespace for backward compatibility,
though it is strongly recommended to use them via the chainer.links
package.
Learnable connections¶
chainer.links.Bias |
Broadcasted elementwise summation with learnable parameters. |
chainer.links.Bilinear |
Bilinear layer that performs tensor multiplication. |
chainer.links.ChildSumTreeLSTM |
Child-Sum TreeLSTM unit. |
chainer.links.Convolution2D |
Two-dimensional convolutional layer. |
chainer.links.ConvolutionND |
N-dimensional convolution layer. |
chainer.links.Deconvolution2D |
Two dimensional deconvolution function. |
chainer.links.DeconvolutionND |
N-dimensional deconvolution function. |
chainer.links.DepthwiseConvolution2D |
Two-dimensional depthwise convolutional layer. |
chainer.links.DilatedConvolution2D |
Two-dimensional dilated convolutional layer. |
chainer.links.EmbedID |
Efficient linear layer for one-hot input. |
chainer.links.GRU |
Stateful Gated Recurrent Unit function (GRU) |
chainer.links.Highway |
Highway module. |
chainer.links.Inception |
Inception module of GoogLeNet. |
chainer.links.InceptionBN |
Inception module of the new GoogLeNet with BatchNormalization. |
chainer.links.Linear |
Linear layer (a.k.a. fully-connected layer). |
chainer.links.LocalConvolution2D |
Two-dimensional local convolutional layer. |
chainer.links.LSTM |
Fully-connected LSTM layer. |
chainer.links.MLPConvolution2D |
Two-dimensional MLP convolution layer of Network in Network. |
chainer.links.NaryTreeLSTM |
N-ary TreeLSTM unit. |
chainer.links.NStepBiGRU |
Stacked Bi-directional GRU for sequences. |
chainer.links.NStepBiLSTM |
Stacked Bi-directional LSTM for sequences. |
chainer.links.NStepBiRNNReLU |
Stacked Bi-directional RNN for sequences. |
chainer.links.NStepBiRNNTanh |
Stacked Bi-directional RNN for sequences. |
chainer.links.NStepGRU |
Stacked Uni-directional GRU for sequences. |
chainer.links.NStepLSTM |
Stacked Uni-directional LSTM for sequences. |
chainer.links.NStepRNNReLU |
Stacked Uni-directional RNN for sequences. |
chainer.links.NStepRNNTanh |
Stacked Uni-directional RNN for sequences. |
chainer.links.Parameter |
Link that just holds a parameter and returns it. |
chainer.links.Scale |
Broadcasted elementwise product with learnable parameters. |
chainer.links.StatefulGRU |
Stateful Gated Recurrent Unit function (GRU). |
chainer.links.StatelessGRU |
Stateless Gated Recurrent Unit function (GRU). |
chainer.links.StatefulMGU |
|
chainer.links.StatelessMGU |
|
chainer.links.StatefulPeepholeLSTM |
Fully-connected LSTM layer with peephole connections. |
chainer.links.StatefulZoneoutLSTM |
|
chainer.links.StatelessLSTM |
Stateless LSTM layer. |
Activation/loss/normalization functions with parameters¶
chainer.links.BatchNormalization |
Batch normalization layer on outputs of linear or convolution functions. |
chainer.links.BatchRenormalization |
Batch renormalization layer on outputs of linear or convolution functions. |
chainer.links.LayerNormalization |
Layer normalization layer on outputs of linear functions. |
chainer.links.BinaryHierarchicalSoftmax |
Hierarchical softmax layer over binary tree. |
chainer.links.BlackOut |
BlackOut loss layer. |
chainer.links.CRF1d |
Linear-chain conditional random field loss layer. |
chainer.links.SimplifiedDropconnect |
Fully-connected layer with simplified dropconnect regularization. |
chainer.links.PReLU |
Parametric ReLU function as a link. |
chainer.links.Swish |
Swish activation function as a link. |
chainer.links.Maxout |
Fully-connected maxout layer. |
chainer.links.NegativeSampling |
Negative sampling loss layer. |
Machine learning models¶
chainer.links.Classifier |
A simple classifier model. |
Pre-trained models¶
Pre-trained models are mainly used to achieve a good performance with a small
dataset, or extract a semantic feature vector. Although CaffeFunction
automatically loads a pre-trained model released as a caffemodel,
the following link models provide an interface for automatically converting
caffemodels, and easily extracting semantic feature vectors.
For example, to extract the feature vectors with VGG16Layers
, which is
a common pre-trained model in the field of image recognition,
users need to write the following few lines:
from chainer.links import VGG16Layers
from PIL import Image
model = VGG16Layers()
img = Image.open("path/to/image.jpg")
feature = model.extract([img], layers=["fc7"])["fc7"]
where fc7
denotes a layer before the last fully-connected layer.
Unlike the usual links, these classes automatically load all the
parameters from the pre-trained models during initialization.
VGG16Layers¶
chainer.links.VGG16Layers |
A pre-trained CNN model with 16 layers provided by VGG team. |
chainer.links.model.vision.vgg.prepare |
Converts the given image to the numpy array for VGG models. |
GoogLeNet¶
chainer.links.GoogLeNet |
A pre-trained GoogLeNet model provided by BVLC. |
chainer.links.model.vision.googlenet.prepare |
Converts the given image to the numpy array for GoogLeNet. |
Residual Networks¶
chainer.links.model.vision.resnet.ResNetLayers |
A pre-trained CNN model provided by MSRA. |
chainer.links.ResNet50Layers |
A pre-trained CNN model with 50 layers provided by MSRA. |
chainer.links.ResNet101Layers |
A pre-trained CNN model with 101 layers provided by MSRA. |
chainer.links.ResNet152Layers |
A pre-trained CNN model with 152 layers provided by MSRA. |
chainer.links.model.vision.resnet.prepare |
Converts the given image to the numpy array for ResNets. |
Compatibility with other frameworks¶
chainer.links.TheanoFunction |
Theano function wrapper. |
chainer.links.caffe.CaffeFunction |
Caffe emulator based on the model file of Caffe. |
Link and Chain base classes¶
chainer.Link |
Building block of model definitions. |
chainer.Chain |
Composable link with object-like interface. |
chainer.ChainList |
Composable link with list-like interface. |
chainer.Sequential |
Sequential model which has a single-stream forward pass. |
Optimizers¶
chainer.optimizers.AdaDelta |
Zeiler’s ADADELTA. |
chainer.optimizers.AdaGrad |
AdaGrad optimizer. |
chainer.optimizers.Adam |
Adam optimizer. |
chainer.optimizers.MomentumSGD |
Momentum SGD optimizer. |
chainer.optimizers.NesterovAG |
Nesterov’s Accelerated Gradient. |
chainer.optimizers.RMSprop |
RMSprop optimizer. |
chainer.optimizers.RMSpropGraves |
Alex Graves’s RMSprop. |
chainer.optimizers.SGD |
Vanilla Stochastic Gradient Descent. |
chainer.optimizers.SMORMS3 |
Simon Funk’s SMORMS3. |
Optimizer base classes¶
chainer.Optimizer |
Base class of all numerical optimizers. |
chainer.UpdateRule |
Base class of all update rules. |
chainer.optimizer.Hyperparameter |
Set of hyperparameter entries of an optimizer. |
chainer.GradientMethod |
Base class of all single gradient-based optimizers. |
Hook functions¶
chainer.optimizer_hooks.WeightDecay |
Optimizer/UpdateRule hook function for weight decay regularization. |
chainer.optimizer_hooks.Lasso |
Optimizer/UpdateRule hook function for Lasso regularization. |
chainer.optimizer_hooks.GradientClipping |
Optimizer hook function for gradient clipping. |
chainer.optimizer_hooks.GradientHardClipping |
Optimizer/UpdateRule hook function for gradient clipping. |
chainer.optimizer_hooks.GradientNoise |
Optimizer/UpdateRule hook function for adding gradient noise. |
chainer.optimizer_hooks.GradientLARS |
Optimizer/UpdateRule hook function for layer wise adaptive rate scaling. |
Weight Initializers¶
Weight initializers are used to initialize arrays.
They destructively modify the content of numpy.ndarray
or cupy.ndarray
.
Typically, weight initializers are passed to Link
s
to initialize their weights and biases.
A weight initializer can be any of the following objects.
chainer.Initializer
class instance.- Python or NumPy scalar or
numpy.ndarray
. - A callable that takes an array (
numpy.ndarray
orcupy.ndarray
) and feeds the initial data into it. None
, in which case the default initializer is used. Unless explicitly specified, it isLeCunNormal
with scale value 1.
Base class¶
chainer.Initializer |
Initializes array. |
Concrete initializers¶
chainer.initializers.Identity |
Initializes array with the identity matrix. |
chainer.initializers.Constant |
Initializes array with constant value. |
chainer.initializers.Zero |
Initializes array to all-zero. |
chainer.initializers.One |
Initializes array to all-one. |
chainer.initializers.NaN |
Initializes array to all-NaN. |
chainer.initializers.Normal |
Initializes array with a normal distribution. |
chainer.initializers.LeCunNormal |
Initializes array with scaled Gaussian distribution. |
chainer.initializers.GlorotNormal |
Initializes array with scaled Gaussian distribution. |
chainer.initializers.HeNormal |
Initializes array with scaled Gaussian distribution. |
chainer.initializers.Orthogonal |
Initializes array with an orthogonal system. |
chainer.initializers.Uniform |
Initializes array with a scaled uniform distribution. |
chainer.initializers.LeCunUniform |
Initializes array with a scaled uniform distribution. |
chainer.initializers.GlorotUniform |
Initializes array with a scaled uniform distribution. |
chainer.initializers.HeUniform |
Initializes array with scaled uniform distribution. |
Helper function¶
chainer.initializers.generate_array |
Return initialized array. |
Training Tools¶
Chainer provides a standard implementation of the training loops under the chainer.training
module. It is built on top of many other core features of Chainer, including Variable and Function, Link/Chain/ChainList, Optimizer, Dataset, and Reporter/Summary. Compared to the training loop abstraction of other machine learning tool kits, Chainer’s training framework aims at maximal flexibility, while keeps the simplicity for the typical usages. Most components are pluggable, and users can overwrite the definition.
The core of the training loop abstraction is Trainer
, which implements the training loop itself. The training loop consists of two parts: one is Updater
, which actually updates the parameters to train, and the other is Extension
for arbitrary functionalities other than the parameter update.
Updater and some extensions use chainer.dataset
and Iterator
to scan the datasets and load mini-batches. The trainer also uses Reporter
to collect the observed values, and some extensions use DictSummary
to accumulate them and computes the statistics.
You can find many examples for the usage of this training utilities from the official examples. You can also search the extension implementations from Extensions.
Trainer¶
chainer.training.Trainer |
The standard training loop in Chainer. |
Updaters¶
chainer.training.Updater |
Interface of updater objects for trainers. |
chainer.training.updaters.StandardUpdater |
Standard implementation of Updater. |
chainer.training.updaters.ParallelUpdater |
Implementation of a parallel GPU Updater. |
chainer.training.updaters.MultiprocessParallelUpdater |
Implementation of a multiprocess parallel GPU Updater. |
Extensions¶
An extension is a callable object that can perform arbitrary actions during the training loop.
Extensions can be registered to Trainer
by using Trainer.extend()
method, and they are invoked when the Trigger condition is satisfied.
In addition to the built-in extensions listed below, you can define your own extension by implementing Extension
or using the make_extension()
decorator.
See Trainer Extensions for details.
Common¶
chainer.training.Extension |
Base class of trainer extensions. |
chainer.training.make_extension |
Decorator to make given functions into trainer extensions. |
Evaluation and Metrics Collection¶
These extensions provide features to collect additional metrics.
The typical use case is to use Evaluator
to perform evaluation with a validation dataset to compute validation loss/accuracy.
chainer.training.extensions.Evaluator |
Trainer extension to evaluate models on a validation set. |
chainer.training.extensions.MicroAverage |
Calculates micro-average ratio. |
chainer.training.extensions.FailOnNonNumber |
Trainer extension to raise RuntimeError if parameters contain NaN or Inf. |
chainer.training.extensions.ParameterStatistics |
Trainer extension to report parameter statistics. |
chainer.training.extensions.observe_lr |
Returns a trainer extension to record the learning rate. |
chainer.training.extensions.observe_value |
Returns a trainer extension to continuously record a value. |
Optimizer Behavior Control¶
These extensions provide features to adjust optimizer behavior. The typical use case is to change the learning rate of the optimizer over time.
chainer.training.extensions.ExponentialShift |
Trainer extension to exponentially shift an optimizer attribute. |
chainer.training.extensions.LinearShift |
Trainer extension to change an optimizer attribute linearly. |
Reporting¶
These extensions provide features to perform reporting of metrics and various statistics to the console or files.
chainer.training.extensions.PrintReport |
Trainer extension to print the accumulated results. |
chainer.training.extensions.ProgressBar |
Trainer extension to print a progress bar and recent training status. |
chainer.training.extensions.LogReport |
Trainer extension to output the accumulated results to a log file. |
chainer.training.extensions.PlotReport |
Trainer extension to output plots. |
chainer.training.extensions.VariableStatisticsPlot |
Trainer extension to plot statistics for Variable s. |
chainer.training.extensions.dump_graph |
Returns a trainer extension to dump a computational graph. |
Snapshot¶
These extensions provide features to take snapshots of models.
chainer.training.extensions.snapshot |
Returns a trainer extension to take snapshots of the trainer. |
chainer.training.extensions.snapshot_object |
Returns a trainer extension to take snapshots of a given object. |
Triggers¶
A trigger is a callable object to decide when to process some specific event within the training loop. It takes a Trainer object as the argument, and returns True if some event should be fired.
It is mainly used to determine when to call an extension. It is also used to determine when to quit the training loop.
chainer.training.get_trigger |
Gets a trigger object. |
chainer.training.triggers.BestValueTrigger |
Trigger invoked when specific value becomes best. |
chainer.training.triggers.EarlyStoppingTrigger |
Trigger for Early Stopping |
chainer.training.triggers.IntervalTrigger |
Trigger based on a fixed interval. |
chainer.training.triggers.ManualScheduleTrigger |
Trigger invoked at specified point(s) of iterations or epochs. |
chainer.training.triggers.MaxValueTrigger |
Trigger invoked when specific value becomes maximum. |
chainer.training.triggers.MinValueTrigger |
Trigger invoked when specific value becomes minimum. |
chainer.training.triggers.TimeTrigger |
Trigger based on a fixed time interval. |
Datasets¶
Dataset Abstraction¶
Chainer supports a common interface for training and validation of datasets. The dataset support consists of three components: datasets, iterators, and batch conversion functions.
Dataset represents a set of examples. The interface is only determined by combination with iterators you want to use on it. The built-in iterators of Chainer require the dataset to support __getitem__
and __len__
methods. In particular, the __getitem__
method should support indexing by both an integer and a slice. We can easily support slice indexing by inheriting DatasetMixin
, in which case users only have to implement get_example()
method for indexing. Basically, datasets are considered as stateless objects, so that we do not need to save the dataset as a checkpoint of the training procedure.
Iterator iterates over the dataset, and at each iteration, it yields a mini-batch of examples as a list. Iterators should support the Iterator
interface, which includes the standard iterator protocol of Python. Iterators manage where to read next, which means they are stateful.
Batch conversion function converts the mini-batch into arrays to feed to the neural nets. They are also responsible to send each array to an appropriate device. Chainer currently provides two implementations:
concat_examples()
is a plain implementation which is used as the default choice.ConcatWithAsyncTransfer
is a variant which is basically same asconcat_examples()
except that it overlaps other GPU computations and data transfer for the next iteration.
These components are all customizable, and designed to have a minimum interface to restrict the types of datasets and ways to handle them. In most cases, though, implementations provided by Chainer itself are enough to cover the usages.
Chainer also has a light system to download, manage, and cache concrete examples of datasets. All datasets managed through the system are saved under the dataset root directory, which is determined by the CHAINER_DATASET_ROOT
environment variable, and can also be set by the set_dataset_root()
function.
Dataset Representation¶
See Examples for dataset implementations.
chainer.dataset.DatasetMixin |
Default implementation of dataset indexing. |
Iterator Interface¶
See Iterator for dataset iterator implementations.
chainer.dataset.Iterator |
Base class of all dataset iterators. |
Batch Conversion Function¶
chainer.dataset.concat_examples |
Concatenates a list of examples into array(s). |
chainer.dataset.ConcatWithAsyncTransfer |
Interface to concatenate data and transfer them to GPU asynchronously. |
chainer.dataset.to_device |
Send an array to a given device. |
Dataset Management¶
chainer.dataset.get_dataset_root |
Gets the path to the root directory to download and cache datasets. |
chainer.dataset.set_dataset_root |
Sets the root directory to download and cache datasets. |
chainer.dataset.cached_download |
Downloads a file and caches it. |
chainer.dataset.cache_or_load_file |
Caches a file if it does not exist, or loads it otherwise. |
Examples¶
The most basic dataset
implementation is an array.
Both NumPy and CuPy arrays can be used directly as datasets.
In many cases, though, the simple arrays are not enough to write the training procedure. In order to cover most of such cases, Chainer provides many built-in implementations of datasets.
These built-in datasets are divided into two groups.
One is a group of general datasets.
Most of them are wrapper of other datasets to introduce some structures (e.g., tuple or dict) to each data point.
The other one is a group of concrete, popular datasets.
These concrete examples use the downloading utilities in the chainer.dataset
module to cache downloaded and converted datasets.
General Datasets¶
General datasets are further divided into four types.
The first one is DictDataset
and TupleDataset
, both of which combine other datasets and introduce some structures on them.
The second one is ConcatenatedDataset
and SubDataset
.
ConcatenatedDataset
represents a concatenation of existing datasets. It can be used to merge datasets and make a larger dataset.
SubDataset
represents a subset of an existing dataset. It can be used to separate a dataset for hold-out validation or cross validation. Convenient functions to make random splits are also provided.
The third one is TransformDataset
, which wraps around a dataset by applying a function to data indexed from the underlying dataset.
It can be used to modify behavior of a dataset that is already prepared.
The last one is a group of domain-specific datasets. Currently, ImageDataset
and LabeledImageDataset
are provided for datasets of images.
DictDataset¶
chainer.datasets.DictDataset |
Dataset of a dictionary of datasets. |
TupleDataset¶
chainer.datasets.TupleDataset |
Dataset of tuples from multiple equal-length datasets. |
ConcatenatedDataset¶
chainer.datasets.ConcatenatedDataset |
Dataset which concatenates some base datasets. |
SubDataset¶
chainer.datasets.SubDataset |
Subset of a base dataset. |
chainer.datasets.split_dataset |
Splits a dataset into two subsets. |
chainer.datasets.split_dataset_random |
Splits a dataset into two subsets randomly. |
chainer.datasets.get_cross_validation_datasets |
Creates a set of training/test splits for cross validation. |
chainer.datasets.get_cross_validation_datasets_random |
Creates a set of training/test splits for cross validation randomly. |
TransformDataset¶
chainer.datasets.TransformDataset |
Dataset that indexes the base dataset and transforms the data. |
ImageDataset¶
chainer.datasets.ImageDataset |
Dataset of images built from a list of paths to image files. |
LabeledImageDataset¶
chainer.datasets.LabeledImageDataset |
Dataset of image and label pairs built from a list of paths and labels. |
Concrete Datasets¶
chainer.datasets.get_mnist |
Gets the MNIST dataset. |
chainer.datasets.get_fashion_mnist |
Gets the Fashion-MNIST dataset. |
chainer.datasets.get_cifar10 |
Gets the CIFAR-10 dataset. |
chainer.datasets.get_cifar100 |
Gets the CIFAR-100 dataset. |
chainer.datasets.get_ptb_words |
Gets the Penn Tree Bank dataset as long word sequences. |
chainer.datasets.get_ptb_words_vocabulary |
Gets the Penn Tree Bank word vocabulary. |
chainer.datasets.get_svhn |
Gets the SVHN dataset. |
Iterator¶
Chainer provides some iterators that implement typical strategies to create mini-batches by iterating over datasets.
SerialIterator
is the simplest one, which extract mini-batches in the main thread.
MultiprocessIterator
and MultithreadIterator
are a parallelized version of SerialIterator
. It maintains worker subprocesses and subthreads to load the next mini-batch in parallel.
chainer.iterators.SerialIterator |
Dataset iterator that serially reads the examples. |
chainer.iterators.MultiprocessIterator |
Dataset iterator that loads examples in parallel. |
chainer.iterators.MultithreadIterator |
Dataset iterator that loads examples in parallel. |
Serializers¶
Serialization in NumPy NPZ format¶
NumPy serializers can be used in arbitrary environments that Chainer runs with.
It consists of asymmetric serializer/deserializer due to the fact that numpy.savez()
does not support online serialization.
Therefore, serialization requires two-step manipulation: first packing the objects into a flat dictionary, and then serializing it into npz format.
chainer.serializers.DictionarySerializer |
Serializer for dictionary. |
chainer.serializers.NpzDeserializer |
Deserializer for NPZ format. |
chainer.serializers.save_npz |
Saves an object to the file in NPZ format. |
chainer.serializers.load_npz |
Loads an object from the file in NPZ format. |
Serialization in HDF5 format¶
chainer.serializers.HDF5Serializer |
Serializer for HDF5 format. |
chainer.serializers.HDF5Deserializer |
Deserializer for HDF5 format. |
chainer.serializers.save_hdf5 |
Saves an object to the file in HDF5 format. |
chainer.serializers.load_hdf5 |
Loads an object from the file in HDF5 format. |
Serializers base classes¶
chainer.Serializer |
Base class of all serializers. |
chainer.AbstractSerializer |
Abstract base class of all serializers and deserializers. |
chainer.Deserializer |
Base class of all deserializers. |
Utilities¶
Convolution/Deconvolution utilities¶
chainer.utils.get_conv_outsize |
Calculates output size of convolution. |
chainer.utils.get_deconv_outsize |
Calculates output size of deconvolution. |
CUDA utilities¶
Device, context and memory management on CuPy.
Note
The package chainer.cuda
has been renamed to
chainer.backends.cuda
as of v4.0.0, but the previous module path
chainer.cuda
is also available.
Chainer uses CuPy (with very thin wrapper)
to exploit the speed of GPU computation. Following modules and classes defined
in CuPy are imported to chainer.backends.cuda
module for convenience
(refer to this table when reading chainer’s source codes).
imported name | original name |
---|---|
chainer.backends.cuda.cupy |
cupy |
chainer.backends.cuda.cupyx |
cupyx |
chainer.backends.cuda.ndarray |
cupy.ndarray |
chainer.backends.cuda.cupy.cuda |
cupy.cuda |
chainer.backends.cuda.Device |
cupy.cuda.Device |
chainer.backends.cuda.Event |
cupy.cuda.Event |
chainer.backends.cuda.Stream |
cupy.cuda.Stream |
Chainer replaces the default allocator of CuPy by its memory pool implementation. It enables us to reuse the device memory over multiple forward/backward computations, and temporary arrays for consecutive elementwise operations.
Devices¶
chainer.backends.cuda.get_device |
Gets the device from a device object, an ID integer or an array object. |
chainer.backends.cuda.get_device_from_id |
Gets the device from an ID integer. |
chainer.backends.cuda.get_device_from_array |
Gets the device from a list of CuPy array or a single CuPy array. |
CuPy array allocation and copy¶
chainer.backends.cuda.copy |
Copies a cupy.ndarray object using the default stream. |
chainer.backends.cuda.to_cpu |
Copies the given GPU array to host CPU. |
chainer.backends.cuda.to_gpu |
Copies the given CPU array to the specified device. |
Kernel definition utilities¶
chainer.backends.cuda.memoize |
Makes a function memoizing the result for each argument and device. |
chainer.backends.cuda.clear_memo |
Clears the memoized results for all functions decorated by memoize. |
chainer.backends.cuda.elementwise |
Creates an elementwise kernel function. |
chainer.backends.cuda.reduce |
Creates a global reduction kernel function. |
CPU/GPU generic code support¶
chainer.backends.cuda.get_array_module |
Gets an appropriate one from numpy or cupy . |
cuDNN support¶
chainer.backends.cuda.set_max_workspace_size |
Sets the workspace size for cuDNN. |
chainer.backends.cuda.get_max_workspace_size |
Gets the workspace size for cuDNN. |
Common algorithms¶
chainer.utils.WalkerAlias |
Implementation of Walker’s alias method. |
Reporter¶
Reporter¶
chainer.Reporter |
Object to which observed values are reported. |
chainer.get_current_reporter |
Returns the current reporter object. |
chainer.report |
Reports observed values with the current reporter object. |
chainer.report_scope |
Returns a report scope with the current reporter. |
Summary and DictSummary¶
chainer.Summary |
Online summarization of a sequence of scalars. |
chainer.DictSummary |
Online summarization of a sequence of dictionaries. |
Experimental feature annotation¶
chainer.utils.experimental |
Declares that user is using an experimental feature. |
Configuring Chainer¶
Chainer provides some global settings that affect the behavior of some functionalities. Such settings can be configured using the unified configuration system. The system provides a transparent way to manage the configuration for each process and for each thread.
The configuration is managed by two global objects: chainer.global_config
and chainer.config
.
- The
global_config
object maintains the configuration shared in the Python process. This is an instance of theGlobalConfig
class. It can be used just as a plain object, and users can freely set any attributes on it. - The
config
object, on the other hand, maintains the configuration for the current thread. This is an instance of theLocalConfig
class. It behaves like a thread-local object, and any attribute modifications are only visible to the current thread.
If no value is set to config
for a given key, global_config
is transparently referred.
Thanks to this transparent lookup, users can always use config
to read any configuration so that the thread-local configuration is used if available and otherwise the default global setting is used.
The following entries of the configuration are currently provided by Chainer. Some entries support environment variables to set the default values. Note that the default values are set in the global config.
Configuration Keys¶
cudnn_deterministic
(default:False
)Flag to configure deterministic computations in cuDNN APIs.
If it is
True
, convolution functions that use cuDNN use the deterministic mode (i.e, the computation is reproducible). Otherwise, the results of convolution functions using cuDNN may be non-deterministic in exchange for better performance.
debug
(default:False
)Debug mode flag.
If it is
True
, Chainer runs in debug mode. Enabling debug mode may introduce some performance overhead. See Debug Mode for more information of the debug mode.You can change the default value to
True
by settingCHAINER_DEBUG
environment variable to1
.
enable_backprop
(default:True
)Flag to enable backpropagation support.
If it is
True
, computational graphs are created during forward passes byFunctionNode
\ s, allowing backpropagation to start from anyVariable
in the graph. Otherwise, computational graphs are not created but memory consumptions are reduced. So callingbackward()
on the results of a function will not compute any gradients of any input.
keep_graph_on_report
(default:False
)Flag to configure whether or not to let
report()
keep the computational graph.If it is
False
,report()
does not keep the computational graph when aVariable
object is reported. It means thatreport()
stores a copy of theVariable
object which is purged from the computational graph. If it isTrue
,report()
just stores theVariable
object as is with the computational graph left attached.You can change the default value to
True
by settingCHAINER_KEEP_GRAPH_ON_REPORT
environment variable to1
.
train
(default:True
)Training mode flag.
If it is
True
, Chainer runs in training mode. Otherwise, it runs in the testing (evaluation) mode.This configuration is used by Functions and Links that need to behave differently between training phase and evaluation (inference) phase. One example is
chainer.links.BatchNormalization
updates statistics using input data only whentrain
is set toTrue
. The other example ischainer.functions.dropout()
, which does nothing whentrain
is set toFalse
.Generally, you are responsible to change the configuration to
False
during evaluation. If you are usingTrainer
withEvaluator
extension,train
configuration will automatically be switched toFalse
during evaluation in the training loop.Note that this parameter does not reduce memory consumption or affect the creation of computational graphs required in order to compute gradients.
type_check
(default:True
)Type checking mode flag.
If it is
True
, Chainer checks the types (data types and shapes) of inputs onFunction
applications. Otherwise, it skips type checking.You can change the default value to
False
by settingCHAINER_TYPE_CHECK
environment variable to0
.
use_cudnn
(default:'auto'
)Flag to configure whether or not to use cuDNN.
This is a ternary flag with
'always'
,'auto'
, and'never'
as its allowed values. The meaning of each flag is as follows.- If it is
'always'
, Chainer will try to use cuDNN everywhere if possible. - If it is
'auto'
, Chainer will use cuDNN only if it is known that the usage does not degrade the performance. - If it is
'never'
, Chainer will never use cuDNN anywhere.
You can change the default value by setting
CHAINER_USE_CUDNN
environment variable to any of'always'
,'auto'
or'never'
.- If it is
use_ideep
(default:'never'
)Flag to configure whether or not to use iDeep.
This is a ternary flag with
'always'
,'auto'
, and'never'
as its allowed values. The meaning of each flag is as follows.- If it is
'always'
, Chainer will try to use iDeep everywhere if possible. - If it is
'auto'
, Chainer will use iDeep only if it is known that the usage does not degrade the performance. - If it is
'never'
, Chainer will never use iDeep anywhere.
You can change the default value by setting
CHAINER_USE_IDEEP
environment variable to any of'always'
,'auto'
or'never'
.Note that in spite of the configuration, optimizers will use iDeep if and only if the link is converted manually to iDeep (e.g.,
model.to_intel64()
).- If it is
lazy_grad_sum
(default:False
)Flag to control the behavior of gradient accumulation.
If it is
True
, gradients are accumulated in batch for performance. Otherwise gradients are accumulated one by one.You can change the default value to
True
by settingCHAINER_LAZY_GRAD_SUM
environment variable to1
.
use_cudnn_tensor_core
(default:'auto'
)Flag to configure whether or not to enable Tensor Core operatons in cuDNN.
This is a ternary flag with
'always'
,'auto'
, and'never'
as its allowed values. The meaning of each flag is as follows.- If it is
always
, Chainer uses cuDNN’s Tensor Core operations. - If it is
never
, Chainer does not use cuDNN’s Tensor Core operations. - If it is
auto
, Chainer checks cuDNN version, the data type of input, the compute capability of the GPU used, and configures whether or not to use cuDNN’s Tensor Core operations.
- If it is
autotune
(default:False
)Autotune for convolutional networks flag.
If it is
True
, Chainer uses the cuDNN autotune feature to find the fastest calculation process forchainer.links.Convolution2D
,ConvolutionND
,Deconvolution2D
, orDeconvolutionND
links.
User-defined Keys¶
Users can also define their own configurations. There are two ways:
- Use Chainer’s configuration objects. In this case, it is strongly recommended to prefix the name by “user_” to avoid name conflicts with configurations introduced to Chainer in the future.
- Use your own configuration objects.
Users can define their own configuration objects using
chainer.configuration.GlobalConfig
andchainer.configuration.LocalConfig
. In this case, there is no need to take care of the name conflicts.
Changing Configuration¶
If you want to share a setting within the process, set an attribute to the global configuration. This value is automatically extracted by referring to the local config.
>>> chainer.global_config.train
True
>>> chainer.config.train
True
>>> chainer.global_config.train = False
>>> chainer.global_config.train
False
>>> chainer.config.train
False
If you set an attribute to the local configuration, the value is only visible to the current thread.
>>> chainer.global_config.train
True
>>> chainer.config.train
True
>>> chainer.config.train = False
>>> chainer.global_config.train
True
>>> chainer.config.train
False
If you want to temporarily modify the configuration for the specific scope, you can use using_config()
.
For example, if you only want to enable debug mode in a fragment of code, write as follows.
>>> with chainer.using_config('debug', True):
... pass # code running in debug mode
If you want to switch to the test mode for an evaluation, you can do that in the same way.
>>> # Do training here
>>> with chainer.using_config('train', False):
... pass # Perform evaluation here
Note that Evaluator
automatically switches to the test mode, and thus you do not need to manually switch in the loss function for the evaluation.
You can also make your own code behave differently in training and test modes as follows.
if chainer.config.train:
pass # code only running in the training mode
else:
pass # code only running in the test mode
chainer.global_config |
Global configuration of Chainer. |
chainer.config |
Thread-local configuration of Chainer. |
chainer.using_config |
Context manager to temporarily change the thread-local configuration. |
chainer.configuration.GlobalConfig |
The plain object that represents the global configuration of Chainer. |
chainer.configuration.LocalConfig |
Thread-local configuration of Chainer. |
Environment Variables¶
Here are the environment variables Chainer uses.
CHAINER_SEED |
Default seed value of random number generators for CUDA. If it is not set, the seed value is generated from Python random module. Set an integer value in decimal format. |
CHAINER_DATASET_ROOT |
Default directory path to store the downloaded datasets. See Datasets for details. |
CHAINER_CUDNN |
Set 0 to completely disable cuDNN in Chainer.
In this case, cuDNN will not be used regardless of CHAINER_USE_CUDNN and
chainer.config.use_cudnn configuration.
Otherwise cuDNN is enabled automatically. |
CHAINER_USE_CUDNN |
Used as the default value for chainer.config.use_cudnn configuration.
The value must be any of 'always' , 'auto' or 'never' .
If CHAINER_CUDNN is set to 0 , this environment variable has no effect.
See Configuring Chainer for details. |
CHAINER_USE_IDEEP |
Used as the default value for chainer.config.use_ideep configuration.
The value must be any of 'always' , 'auto' or 'never' .
See Configuring Chainer for details. |
CHAINER_LAZY_GRAD_SUM |
Used as the default value for chainer.config.lazy_grad_sum configuration.
Set 1 to enable batch accumulation of gradients.
See Configuring Chainer for details. |
CHAINER_TYPE_CHECK |
Used as the default value for chainer.config.type_check configuration.
Set 0 to disable type checking.
Otherwise type checking is enabled automatically.
See Configuring Chainer and Type checking utilities for details. |
CHAINER_DEBUG |
Used as the default value for chainer.config.debug configuration.
Set 1 to enable debug mode. It is disabled by default.
In debug mode, Chainer performs various runtime checks that can help
debug user’s code at the cost of some overhead.
See Configuring Chainer and Debug Mode for details. |
CHAINER_KEEP_GRAPH_ON_REPORT |
Used as the default value for chainer.config.keep_graph_on_report configuration.
Set 1 to let report() keep the computational graph.
See Configuring Chainer for details. |
CHAINER_PYTHON_350_FORCE |
Set 1 to force using Chainer with Python 3.5.0.
Note that Chainer does not work with Python 3.5.0.
Use Python 3.5.1+ or other supported versions (see Installation). |
The following environment variables are only effective when running unit tests.
CHAINER_TEST_GPU_LIMIT |
Number of GPUs available for unit tests.
When running unit test, test cases that require more GPUs than the specified value will be skipped.
Set 0 to skip all test cases that require GPU.
See Unit Testing for details. |
CHAINER_TEST_RANDOM_NONDETERMINISTIC |
Set 1 to use non-fixed seed for random number generators, even for test cases annotated with fix_random. |
Debug Mode¶
In debug mode, Chainer checks values of variables on runtime and shows more detailed error messages. It helps you to debug your programs. However, it requires some additional overhead time.
If you want to enable debug mode for the entire code, you can set CHAINER_DEBUG
environment variable to 1
.
You can also enable or disable debug mode for the specific scope of code with chainer.using_config()
or by changing chainer.config.debug
configuration.
with chainer.using_config('debug', True):
...
See Configuring Chainer for the details of Chainer’s configuration mechanism.
In debug mode, Chainer checks all results of forward and backward computation, and if it finds a NaN value, it raises RuntimeError
.
Some functions and links also check validity of input values more strictly.
You can check if debug mode is enabled with chainer.is_debug()
function.
chainer.is_debug |
Returns if the debug mode is enabled or not in the current thread. |
chainer.set_debug |
Enables or disables the debug mode in the current thread. |
Deprecated interface¶
As of v2.0.0, it is recommended to turn on the debug mode using chainer.config.debug
.
See Configuring Chainer for the way to use the config object.
We leave the reference of the conventional way (which has been available since Chainer v1) as follows.
chainer.DebugMode |
Debug mode context. |
Visualization of Computational Graph¶
As neural networks get larger and complicated, it gets much harder to confirm if their architectures are constructed properly.
Chainer supports visualization of computational graphs.
Users can generate computational graphs by invoking build_computational_graph()
. Generated computational graphs are dumped to specified format (Currently Dot Language is supported).
Basic usage is as follows:
import chainer.computational_graph as c
...
g = c.build_computational_graph(vs)
with open('path/to/output/file', 'w') as o:
o.write(g.dump())
where vs
is list of Variable
instances and g
is an instance of ComputationalGraph
.
This code generates the computational graph that are backward-reachable (i.e. reachable by repetition of steps backward) from at least one of vs
.
Here is an example of (a part of) the generated graph (inception(3a) in GoogLeNet). This example is from example/imagenet
.
chainer.computational_graph.build_computational_graph |
Builds a graph of functions and variables backward-reachable from outputs. |
chainer.computational_graph.ComputationalGraph |
Class that represents computational graph. |
Caffe Model Support¶
Caffe is a popular framework maintained by BVLC at UC Berkeley. It is widely used by computer vision communities, and aims at fast computation and easy usage without any programming. The BVLC team provides trained reference models in their Model Zoo, one of the reason why this framework gets popular.
Import¶
Chainer can import the reference models and emulate the network by Link
implementations.
This functionality is provided by the chainer.links.caffe.CaffeFunction
class.
chainer.links.caffe.CaffeFunction |
Caffe emulator based on the model file of Caffe. |
Export¶
Chainer can export a model from Link
.
chainer.exporters.caffe.export |
(Experimental) Export a computational graph as Caffe format. |
Assertion and Testing¶
Chainer provides some facilities to make debugging easy.
Type checking utilities¶
FunctionNode
uses a systematic type checking of the chainer.utils.type_check
module.
It enables users to easily find bugs of forward and backward implementations.
You can find examples of type checking in some function implementations.
chainer.utils.type_check.Expr |
Abstract syntax tree of an expression. |
chainer.utils.type_check.expect |
Evaluates and tests all given expressions. |
chainer.utils.type_check.TypeInfo |
Type information of an input/gradient array. |
chainer.utils.type_check.TypeInfoTuple |
Type information of input/gradient tuples. |
Gradient checking utilities¶
Most function implementations are numerically tested by gradient checking.
This method computes numerical gradients of forward routines and compares their results with the corresponding backward routines.
It enables us to make the source of issues clear when we hit an error of gradient computations.
The chainer.gradient_check
module makes it easy to implement the gradient checking.
chainer.gradient_check.check_backward |
Test backward procedure of a given function. |
chainer.gradient_check.numerical_grad |
Computes numerical gradient by finite differences. |
Standard Assertions¶
The assertions have same names as NumPy’s ones.
The difference from NumPy is that they can accept both numpy.ndarray
and cupy.ndarray
.
chainer.testing.assert_allclose |
Asserts if some corresponding element of x and y differs too much. |
Function testing utilities¶
Chainer provides some utilities for testing its functions.
chainer.testing.unary_math_function_unittest |
Decorator for testing unary mathematical Chainer functions. |
API Compatibility Policy¶
This document explains the design policy on compatibilities of Chainer APIs. Development team should follow this policy on deciding to add, extend, and change APIs and their behaviors.
This document is written for both users and developers. Users can decide the level of dependencies on Chainer’s implementations in their codes based on this document. Developers should read through this document before creating pull requests that contain changes on the interface. Note that this document may contain ambiguities on the level of supported compatibilities.
Targeted Versions¶
This policy is applied to Chainer v2.0.0 and higher. Note that this policy is not applied to Chainer of lower versions. For older versions of Chainer, see the old version of API Compatiblity Policy.
Versioning and Backward Compatibility¶
The versioning of Chainer follows the PEP 440 and a part of Semantic versioning. See Contribution Guide for details of versioning.
The backward compatibility is kept for revision updates and minor updates, which are applied to the stable version. A major update from the latest release candidate basically keeps the backward compatibility, although it is not guaranteed. Any pre-releases may break the backward compatibility.
Breaking the Compatibility¶
We sometimes need to break the backward compatibility to improve the framework design and to support new kinds of machine learning methods. Such a change is only made into pre-releases (alpha, beta, and release candidate) and sometimes into the major update.
A change that breaks the compatibility affects user codes. We try to lower the cost of adapting your code to the newer version. The following list shows an example of what we can do to reduce the cost (Note: this is not a promise; what kind of actions we can take depends on the situation).
- When an argument is removed from an existing API, passing the argument to the updated API will emit an error with a special error message. The error message tells you how to fix your code.
- When a function or a class is removed, we make the current stable version emit a deprecation warning.
Note that the deprecation warning is not printed by default in Python.
You have to manually turn on the deprecation warning by
warnings.simplefilter('always', DeprecationWarning)
. - When a definition of a link is changed, we try to enable it to deserialize a model dumped with an older version of Chainer. In most cases, we cannot guarantee that a model serialized with a newer version of Chainer is loadable by an older version of Chainer.
Note
Since Chainer v2, we have stopped adopting any solid processes to break backward compatibilities (e.g. a solid schedule for deprecating and removing a feature) in order to keep the development fast enough to support the cutting-edge research. It does not mean we stop taking care of maintainability of user codes. We are still paying much attention to not breaking user codes.
Experimental APIs¶
Thanks to many contributors, we have introduced many new features to Chainer.
However, we have sometimes released new features only to later notice that their APIs are not appropriate. In particular, we sometimes know that the API is likely to be modified in the near future because we do not have enough knowledge about how well the current design fits to the real usages. The objective of experimental APIs is to declare that the APIs are likely to be updated in the near future so that users can decide if they can(not) use them.
Any newly added API can be marked as experimental. Any API that is not experimental is called stable in this document.
Note
Undocumented behaviors are not considered as APIs, so they can be changed at any time (even in a revision update). The treatment of undocumented behaviors are described in Undocumented behaviors section.
When users use experimental APIs for the first time, warnings are raised once for each experimental API, unless users explicitly disable the emission of the warnings in advance.
See the document of chainer.utils.experimental()
to know how developers mark APIs as experimental
and how users enable or disable the warnings practically.
Note
It is up to developers if APIs should be annotated as experimental or not. We recommend to make the APIs experimental if they implement large modules or make a decision from several design choices.
Supported Backward Compatibility¶
This section defines backward compatibilities that revision updates must maintain.
Documented Interface¶
Chainer has the official API documentation. Many applications can be written based on the documented features. We support backward compatibilities of documented features. In other words, codes only based on the documented features run correctly with revision-updated versions.
Developers are encouraged to use apparent names for objects of implementation details. For example, attributes outside of the documented APIs should have one or more underscores at the prefix of their names.
Note
Although it is not stated as a rule, we also try to keep the compatibility for any interface that looks like a stable feature. For example, if the name of a symbol (function, class, method, attribute, etc.) is not prefixed by an underscore and the API is not experimental, the API should be kept over revision updates even if it is not documented.
Undocumented behaviors¶
Behaviors of Chainer implementation not stated in the documentation are undefined. Undocumented behaviors are not guaranteed to be stable between different revision versions.
Even revision updates may contain changes to undefined behaviors. One of the typical examples is a bug fix. Another example is an improvement on implementation, which may change the internal object structures not shown in the documentation. As a consequence, even revision updates do not support compatibility of pickling, unless the full layout of pickled objects is clearly documented.
Documentation Error¶
Compatibility is basically determined based on the documentation, although it sometimes contains errors. It may make the APIs confusing to assume the documentation always stronger than the implementations. We therefore may fix the documentation errors in any updates that may break the compatibility in regard to the documentation.
Note
Developers should not fix the documentation and implementation of the same functionality at the same time in revision updates as a “bug fix” unless the bug is so critical that no users are expected to be using the old version correctly.
Object Attributes and Properties¶
Object attributes and properties are sometimes replaced by each other. It does not break the user codes, except the codes depend on how the attributes and properties are implemented.
Functions and Methods¶
Methods may be replaced by callable attributes keeping the compatibility of parameters and return values. It does not break the user codes, except the codes depend on how the methods and callable attributes are implemented.
Exceptions and Warnings¶
The specifications of raising exceptions are considered as a part of standard backward compatibilities. No exception is raised in the future revision versions with correct usages that the documentation allows.
On the other hand, warnings may be added at any revision updates for any APIs. It means revision updates do not keep backward compatibility of warnings.
Model Format Compatibility¶
Links and chains serialized by official serializers that Chainer provides are correctly loaded with the future versions. They might not be correctly loaded with Chainer of the lower versions.
Note
Current serialization APIs do not support versioning. It prevents us from introducing changes in the layout of objects that support serialization. We are discussing versioning in serialization APIs.
Installation Compatibility¶
The installation process is another concern of compatibilities.
Any changes on the set of dependent libraries that force modifications on the existing environments should be done in pre-releases and major updates. Such changes include following cases:
- dropping supported versions of dependent libraries (e.g. dropping cuDNN v2)
- adding new mandatory dependencies (e.g. adding h5py to setup_requires)
Note
We sometimes have to narrow the supported versions due to bugs in the specific versions of libraries. In such a case, we may drop the support of those versions even in revision updates unless a workaround is found for the issue.
Contribution Guide¶
This is a guide for all contributions to Chainer. The development of Chainer is running on the official repository at GitHub. Anyone that wants to register an issue or to send a pull request should read through this document.
Note
Many points of this document are updated at v2. We strongly recommend all contributors of v1 to read through the document again.
Classification of Contributions¶
There are several ways to contribute to Chainer community:
- Registering an issue
- Sending a pull request (PR)
- Sending a question/reply to StackOverflow (with
chainer
tag) or Chainer User Group - Open-sourcing an external example
- Writing a post about Chainer
This document mainly focuses on 1 and 2, though other contributions are also appreciated.
Development Cycle¶
This section explains the development process of Chainer. Before contributing to Chainer, it is strongly recommended to understand the development cycle.
Versioning¶
The versioning of Chainer follows PEP 440 and a part of Semantic versioning.
The version number consists of three or four parts: X.Y.Zw
where X
denotes the major version, Y
denotes the minor version, Z
denotes the revision number, and the optional w
denotes the prelease suffix.
While the major, minor, and revision numbers follow the rule of semantic versioning, the pre-release suffix follows PEP 440 so that the version string is much friendly with Python eco-system.
Note that a major update basically does not contain compatibility-breaking changes from the last release candidate (RC). This is not a strict rule, though; if there is a critical API bug that we have to fix for the major version, we may add breaking changes to the major version up.
As for the backward compatibility, see API Compatibility Policy.
Release Cycle¶
Starting from v2.0.0, we are developing two tracks of versions at the same time. The first one is the track of stable versions, which is a series of revision updates for the latest major version. The second one is the track of development versions, which is a series of pre-releases for the upcoming major version.
Consider that X.0.0
is the latest major version and Y.0.0
, Z.0.0
are the succeeding major versions.
Then, the timeline of the updates is depicted by the following table.
Date | ver X | ver Y | ver Z |
---|---|---|---|
0 weeks | X.0.0rc1 | – | – |
4 weeks | X.0.0 | Y.0.0a1 | – |
8 weeks | X.1.0* | Y.0.0b1 | – |
12 weeks | X.2.0* | Y.0.0rc1 | – |
16 weeks | – | Y.0.0 | Z.0.0a1 |
(* These might be revision releases)
The dates shown in the left-most column are relative to the release of X.0.0rc1
.
In particular, each revision/minor release is made four weeks after the previous one of the same major version, and the pre-release of the upcoming major version is made at the same time.
Whether these releases are revision or minor is determined based on the contents of each update.
Note that there are only three stable releases for the versions X.x.x
.
During the parallel development of Y.0.0
and Z.0.0a1
, the version Y
is treated as an almost-stable version and Z
is treated as a development version.
If there is a critical bug found in X.x.x
after stopping the development of version X
, we may release a hot-fix for this version at any time.
We create a milestone for each upcoming release at GitHub. The GitHub milestone is basically used for collecting the issues and PRs resolved in the release.
Git Branches¶
The master
branch is used to develop pre-release versions.
It means that alpha, beta, and RC updates are developed at the master
branch.
This branch contains the most up-to-date source tree that includes features newly added after the latest major version.
The stable version is developed at the individual branch named as vN
where “N” reflects the version number (we call it a versioned branch).
For example, v3.0.0, v3.0.1, and v3.0.2 will be developed at the v3
branch.
Notes for contributors:
When you send a pull request, you basically have to send it to the master
branch.
If the change can also be applied to the stable version, a core team member will apply the same change to the stable version so that the change is also included in the next revision update.
If the change is only applicable to the stable version and not to the master
branch, please send it to the versioned branch.
We basically only accept changes to the latest versioned branch (where the stable version is developed) unless the fix is critical.
If you want to make a new feature of the master
branch available in the current stable version, please send a backport PR to the stable version (the latest vN
branch).
See the next section for details.
Note: a change that can be applied to both branches should be sent to the master
branch.
Each release of the stable version is also merged to the development version so that the change is also reflected to the next major version.
Feature Backport PRs¶
We basically do not backport any new features of the development version to the stable versions.
If you desire to include the feature to the current stable version and you can work on the backport work, we welcome such a contribution.
In such a case, you have to send a backport PR to the latest vN
branch.
Note that we do not accept any feature backport PRs to older versions because we are not running quality assurance workflows (e.g. CI) for older versions so that we cannot ensure that the PR is correctly ported.
There are some rules on sending a backport PR.
- Start the PR title from the prefix [backport].
- Clarify the original PR number in the PR description (something like “This is a backport of #XXXX”).
- (optional) Write to the PR description the motivation of backporting the feature to the stable version.
Please follow these rules when you create a feature backport PR.
Note: PRs that do not include any changes/additions to APIs (e.g. bug fixes, documentation improvements) are usually backported by core dev members. It is also appreciated to make such a backport PR by any contributors, though, so that the overall development proceeds more smoothly!
Issues and Pull Requests¶
In this section, we explain how to file issues and send pull requests (PRs).
Issue/PR Labels¶
Issues and PRs are labeled by the following tags:
- Bug: bug reports (issues) and bug fixes (PRs)
- Enhancement: implementation improvements without breaking the interface
- Feature: feature requests (issues) and their implementations (PRs)
- NoCompat: disrupts backward compatibility
- Test: test fixes and updates
- Document: document fixes and improvements
- Example: fixes and improvements on the examples
- Install: fixes installation script
- Contribution-Welcome: issues that we request for contribution (only issues are categorized to this)
- Other: other issues and PRs
Multiple tags might be labeled to one issue/PR. Note that revision releases cannot include PRs in Feature and NoCompat categories.
How to File an Issue¶
On registering an issue, write precise explanations on how you want Chainer to be. Bug reports must include necessary and sufficient conditions to reproduce the bugs. Feature requests must include what you want to do (and why you want to do, if needed) with Chainer. You can contain your thoughts on how to realize it into the feature requests, though what part is most important for discussions.
Warning
If you have a question on usages of Chainer, it is highly recommended to send a post to StackOverflow or Chainer User Group instead of the issue tracker. The issue tracker is not a place to share knowledge on practices. We may suggest these places and immediately close how-to question issues.
How to Send a Pull Request¶
If you can write code to fix an issue, we encourage to send a PR.
First of all, before starting to write any code, do not forget to confirm the following points.
- Read through the Coding Guidelines and Unit Testing.
- Check the appropriate branch that you should send the PR following Git Branches.
If you do not have any idea about selecting a branch, please choose the
master
branch.
In particular, check the branch before writing any code. The current source tree of the chosen branch is the starting point of your change.
After writing your code (including unit tests and hopefully documentations!), send a PR on GitHub. You have to write a precise explanation of what and how you fix; it is the first documentation of your code that developers read, which is a very important part of your PR.
Once you send a PR, it is automatically tested on Travis CI for Linux and Mac OS X, and on AppVeyor for Windows. Your PR needs to pass at least the test for Linux on Travis CI. After the automatic test passes, some of the core developers will start reviewing your code. Note that this automatic PR test only includes CPU tests.
Note
We are also running continuous integration with GPU tests for the master
branch and the versioned branch of the latest major version.
Since this service is currently running on our internal server, we do not use it for automatic PR tests to keep the server secure.
If you are planning to add a new feature or modify existing APIs, it is recommended to open an issue and discuss the design first. The design discussion needs lower cost for the core developers than code review. Following the consequences of the discussions, you can send a PR that is smoothly reviewed in a shorter time.
Even if your code is not complete, you can send a pull request as a work-in-progress PR by putting the [WIP]
prefix to the PR title.
If you write a precise explanation about the PR, core developers and other contributors can join the discussion about how to proceed the PR.
WIP PR is also useful to have discussions based on a concrete code.
Coding Guidelines¶
Note
Coding guidelines are updated at v3.0. Those who have contributed to older versions should read the guidelines again.
We use PEP 8 and a part of OpenStack Style Guidelines related to general coding style as our basic style guidelines.
To check your code, use autopep8
and flake8
command installed by hacking
package:
$ pip install autopep8 hacking
$ autopep8 path/to/your/code.py
$ flake8 path/to/your/code.py
The autopep8
supports automatically correct Python code to conform to the PEP 8 style guide:
$ autopep8 --in-place path/to/your/code.py
The flake8
command lets you know the part of your code not obeying our style guidelines.
Before sending a pull request, be sure to check that your code passes the flake8
checking.
Note that flake8
command is not perfect.
It does not check some of the style guidelines.
Here is a (not-complete) list of the rules that flake8
cannot check.
- Relative imports are prohibited. [H304]
- Importing non-module symbols is prohibited.
- Import statements must be organized into three parts: standard libraries, third-party libraries, and internal imports. [H306]
In addition, we restrict the usage of shortcut aliases in any global-scope code. In particular, you cannot use shortcut aliases to designate a parent class in global-scope class definitions. When you want to make a class inheriting another class defined in another module, you have to spell out the full module name instead of importing a module that provides an alias.
For example, the following code is not allowed.
import chainer
class MyLink(chainer.Link): ...
Instead, import chainer.link
and use that.
import chainer.link
class MyLink(chainer.link.Link): ...
If you feel the code too verbose, you can also use from import
or import as
.
from chainer import link
class MyLink(link.Link): ...
Note
From v3.0, we allow shortcut aliases used inside of functions and methods that are not called from any global scope code.
For example, you can write chainer.Variable
instead of chainer.variable.Variable
inside of functions and methods.
Use of such aliases is prohibited in the past for avoiding confusing errors related to cyclic dependencies;
we relaxed the rule so that the library code looks similar to user code.
When you use such shortcut aliases, please be careful with cyclic imports.
One of the typical pitfalls is a way to import chainer.functions
.
An import like import chainer.functions as F
within modules under chainer.functions
does not work.
An import like from chainer import functions
works well with Python 3, but does not with Python 2.
We recommend you to use import chainer.functions
and spell out like chainer.functions.foo
in your methods.
Once you send a pull request, your coding style is automatically checked by Travis-CI. The reviewing process starts after the check passes.
Unit Testing¶
Testing is one of the most important part of your code. You must write test cases and verify your implementation by following our testing guide.
Note that we are using pytest and mock package for testing, so install them before writing your code:
$ pip install pytest mock
How to Run Tests¶
You can run unit tests simply by running python -m pytest
command at the repository root:
$ python -m pytest
or specify the test script that you want to run:
$ python -m pytest path/to/your/test.py
You can also run all unit tests under a specified directory:
$ python -m pytest tests/chainer_tests/<directory name>
It requires CUDA and cuDNN by default.
In order to run unit tests that do not require CUDA and cuDNN, use CHAINER_TEST_GPU_LIMIT=0
environment variable and -m='not cudnn'
option:
$ export CHAINER_TEST_GPU_LIMIT=0
$ python -m pytest path/to/your/test.py -m='not cudnn'
Some GPU tests involve multiple GPUs.
If you want to run GPU tests with insufficient number of GPUs, specify the number of available GPUs to CHAINER_TEST_GPU_LIMIT
.
For example, if you have only one GPU, launch pytest
by the following command to skip multi-GPU tests:
$ export CHAINER_TEST_GPU_LIMIT=1
$ python -m pytest path/to/gpu/test.py
Some tests spend too much time.
If you want to skip such tests, pass -m='not slow'
option to the command:
$ python -m pytest path/to/your/test.py -m='not slow'
If you modify the code related to existing unit tests, you must run appropriate commands and confirm that the tests pass.
Test File and Directory Naming Conventions¶
Tests are put into the tests/chainer_tests directory. In order to enable test runner to find test scripts correctly, we are using special naming convention for the test subdirectories and the test scripts.
- The name of each subdirectory of
tests
must end with the_tests
suffix. - The name of each test script must start with the
test_
prefix.
When we write a test for a module, we use the appropriate path and file name for the test script whose correspondence to the tested module is clear.
For example, if you want to write a test for a module chainer.x.y.z
, the test script must be located at tests/chainer_tests/x_tests/y_tests/test_z.py
.
How to Write Tests¶
There are many examples of unit tests under the tests directory, so reading some of them is a good and recommended way to learn how to write tests for Chainer.
They simply use the unittest
package of the standard library, while some tests are using utilities from chainer.testing
.
Even if your patch includes GPU-related code, your tests should not fail without GPU capability.
Test functions that require CUDA must be tagged by chainer.testing.attr.gpu
decorator:
import unittest
from chainer.testing import attr
class TestMyFunc(unittest.TestCase):
...
@attr.gpu
def test_my_gpu_func(self):
...
The functions tagged by the gpu
decorator are skipped if CHAINER_TEST_GPU_LIMIT=0
environment variable is set.
We also have the chainer.testing.attr.cudnn
decorator to let pytest
know that the test depends on cuDNN.
The test functions decorated by cudnn
are skipped if -m='not cudnn'
is given.
The test functions decorated by gpu
must not depend on multiple GPUs.
In order to write tests for multiple GPUs, use chainer.testing.attr.multi_gpu()
decorator instead:
import unittest
from chainer.testing import attr
class TestMyFunc(unittest.TestCase):
...
@attr.multi_gpu(2) # specify the number of required GPUs here
def test_my_two_gpu_func(self):
...
If your test requires too much time, add chainer.testing.attr.slow
decorator.
The test functions decorated by slow
are skipped if -m='not slow'
is given:
import unittest
from chainer.testing import attr
class TestMyFunc(unittest.TestCase):
...
@attr.slow
def test_my_slow_func(self):
...
Note
If you want to specify more than two attributes, use and
operator like -m='not cudnn and not slow'
.
See detail in the document of pytest.
Once you send a pull request, your code is automatically tested by Travis-CI except for tests annotated with ``gpu``, ``multi_gpu`` and ``slow``. Since Travis-CI does not support CUDA, we cannot check your CUDA-related code automatically. The reviewing process starts after the test passes. Note that reviewers will test your code without the option to check CUDA-related code.
Note
Some of numerically unstable tests might cause errors irrelevant to your changes. In such a case, we ignore the failures and go on to the review process, so do not worry about it!
Documentation¶
When adding a new feature to the framework, you also need to document it in the reference.
For example, if you are adding a new function under chainer.functions
, you need to add it to the Functions page.
Note
If you are unsure about how to fix the documentation, you can submit a pull request without doing so. Reviewers will help you fix the documentation appropriately.
The documentation source is stored under docs directory and written in reStructuredText format.
To build the documentation, you need to install Sphinx:
$ pip install sphinx sphinx_rtd_theme
Then you can build the documentation in HTML format locally:
$ cd docs
$ make html
HTML files are generated under build/html
directory.
Open index.html
with the browser and see if it is rendered as expected.
Note
Docstrings (documentation comments in the source code) are collected from the installed Chainer module. If you modified docstrings, make sure to install the module (e.g., using pip install -e .) before building the documentation.
Tips and FAQs¶
It takes too long time to compile a computational graph. Can I skip it?¶
Chainer does not compile computational graphs, so you cannot skip it, or, I mean, you have already skipped it :).
It seems you have actually seen on-the-fly compilations of CUDA kernels. CuPy compiles kernels on demand to make kernels optimized to the number of dimensions and element types of input arguments. Pre-compilation is not available, because we have to compile an exponential number of kernels to support all CuPy functionalities. This restriction is unavoidable because Python cannot call CUDA/C++ template functions in generic way. Note that every framework using CUDA require compilation at some point; the difference between other statically-compiled frameworks (such as cutorch) and Chainer is whether a kernel is compiled at installation or at the first use.
These compilations should run only at the first use of the kernels.
The compiled binaries are cached to the $(HOME)/.cupy/kernel_cache
directory by default.
If you see that compilations run every time you run the same script, then the caching is failed.
Please check that the directory is kept as is between multiple executions of the script.
If your home directory is not suited to caching the kernels (e.g. in case that it uses NFS), change the kernel caching directory by setting the CUPY_CACHE_DIR
environment variable to an appropriate path.
See CuPy Overview for more details.
MNIST example does not converge in CPU mode on Mac OS X¶
Note
Mac OS X is not officially supported. Please use it at your own risk.
Many users have reported that MNIST example does not work correctly when using vecLib as NumPy backend on Mac OS X. vecLib is the default BLAS library installed on Mac OS X.
We recommend using other BLAS libraries such as OpenBLAS.
To use an alternative BLAS library, it is necessary to reinstall NumPy. Here is an instruction to install NumPy with OpenBLAS using Homebrew.
$ brew tap homebrew/science
$ brew install openblas
$ brew install numpy --with-openblas
If you want to install NumPy with pip, use site.cfg file.
For details of this problem, see issue #704.
How do I fix InvalidType error?¶
Chainer raises an InvalidType
exception when invalid inputs are given to Functions.
If you got InvalidType
, generally you need to check if dtype
and/or shape
of inputs are valid for the function.
Here are some examples of InvalidType
errors:
import chainer.functions as F
import numpy as np
x = np.arange(10) - 5
F.relu(x)
Traceback (most recent call last):
...
chainer.utils.type_check.InvalidType:
Invalid operation is performed in: ReLU (Forward)
Expect: in_types[0].dtype.kind == f
Actual: i != f
In this case, kind
of in_types[0]
(which means the first input to the function, x
) is expected to be f
(floating-point), whereas the input was i
(signed integer).
You need to cast the input appropriately before passing to the function (e.g., x.astype(np.float32)
).
import chainer.functions as F
import numpy as np
x = np.ones((4, 4))
y = np.ones((3, 3))
F.concat([x, y])
Traceback (most recent call last):
...
chainer.utils.type_check.InvalidType:
Invalid operation is performed in: Concat (Forward)
Expect: in_types[0].shape[0] == in_types[1].shape[0]
Actual: 4 != 3
In this case, the function expects that x.shape[0]
is equal to y.shape[0]
, but actually it was 4
and 3
, respectively.
See Type Checks for the detailed behavior of type checking system in Chainer.
How do I accelerate my model using iDeep on Intel CPU?¶
Follow these steps to utilize iDeep in your model.
Install iDeep¶
The following environments are recommended by iDeep.
- Ubuntu 14.04 / 16.04 LTS (64-bit) and CentOS 7 (64-bit)
- Python 2.7.5+, 3.5.2+, and 3.6.0+
On recommended systems, you can install iDeep wheel (binary distribution) by:
$ pip install 'ideep4py<2'
Enable iDeep Configuration¶
Currently iDeep is disabled by default because it is an experimental feature.
You need to manually enable iDeep by changing chainer.config.use_ideep
configuration to 'auto'
.
See Configuring Chainer for details.
The easiest way to change the configuration is to set environment variable as follows:
export CHAINER_USE_IDEEP="auto"
You can also use chainer.using_config()
to change the configuration.
x = np.ones((3, 3), dtype='f')
with chainer.using_config('use_ideep', 'auto'):
y = chainer.functions.relu(x)
print(type(y.data))
<class 'ideep4py.mdarray'>
Convert Your Model to iDeep¶
You need to call model.to_intel64()
(in the same way you call model.to_gpu()
to transfer your link to GPU) to convert the link to iDeep.
Run Your Model¶
Now your model is accelerated by iDeep!
Please note that not all functions and optimizers support iDeep acceleration. Also note that iDeep will not be used depending on the shape and data type of the input data.
My training process gets stuck when using MultiprocessIterator¶
When you are using OpenCV somewhere in your code and the MultiprocessIterator
is used in the
training code, the training loop may get stuck at some point. In such situation, there are several workarounds to
prevent the process got stuck.
- Set the environment variable as follows:
OMP_NUM_THREADS=1
- Add
cv2.setNumThreads(0)
right afterimport cv2
in your training script. - Use
MultithreadIterator
instead ofMultiprocessIterator
.
This problem is originally reported here: A training loop got stuck in a certain condition with multi-processing updater and opencv for Chainer and the discussion on related problems is still going here: OpenCV + Python multiprocessing breaks on OSX.
Performance Best Practices¶
This guide explains some tips and advice for maximizing the performance of Chainer.
Use the Latest Version¶
It is generally recommended to use the latest version of Chainer and its dependent libraries (CUDA, cuDNN, iDeep, etc.). Some of the new features and performance optimizations introduced in newer versions of dependent libraries may not be available in older versions of Chainer. Also, Chainer itself is incrementally being improved to provide better performance.
If you are using Chainer v4 or later, you can check the version configuration by:
chainer.print_runtime_info()
Chainer: 4.0.0
NumPy: 1.14.3
CuPy:
CuPy Version : 4.0.0
CUDA Root : /usr/local/cuda
CUDA Build Version : 9000
CUDA Driver Version : 9000
CUDA Runtime Version : 9000
cuDNN Build Version : 7100
cuDNN Version : 7100
NCCL Build Version : 2102
Generally, the Chainer team is maintaining the API between minor updates (e.g., v4.0 to v4.1) so that users can upgrade Chainer without modifying their code (see API Compatibility Policy for our policy). As for major updates, please refer to the Upgrade Guide to understand what should be done for migration.
Enable Hardware Accelerations¶
Using GPU¶
In most cases, running on GPU will give you better performance than on CPU. When using GPU, also make sure to install cuDNN, which is a library to accelerate deep neural network computations.
Note
You don’t have to manually install cuDNN if you are using CuPy wheels, which includes the latest version of cuDNN.
Check the output of chainer.print_runtime_info()
; if you see the cuDNN version number, it is installed properly and will be used by Chainer automatically.
Note
If you wish, you can manually disable use of cuDNN using chainer.config.use_cudnn
configuration option.
See Configuring Chainer for details.
Using CPU¶
If you are running Chainer on CPU, you can use iDeep to utilize vector instructions of CPU. See Tips and FAQs for steps to run your model with iDeep.
You can also improve performance by building NumPy linked to Intel MKL. See Numpy/Scipy with Intel® MKL and Intel® Compilers for the detailed instructions.
Note
If you installed numpy package using Anaconda, you may already have MKL-linked NumPy.
Check the output of numpy.show_config()
to see what linear algebra library is linked.
Note
Use of iDeep and MKL-linked NumPy are orthogonal. You can use both of them at once to maximize the performance.
Migrate Data Preprocessing Code from NumPy to CuPy¶
If you are preprocessing your dataset or running data augmentation using NumPy, you may be able to use CuPy as a substitution to improve performance.
Note
It is not always efficient to use CuPy instead of NumPy, especially when the computation is not very heavy, or it cannot be done in batch.
Avoid Data Transfer¶
If you are using GPU, be aware of data transfer between CPU and GPU.
For example, print
ing chainer.Variable
on GPU (e.g., for debugging) will cause memory transfer from GPU to CPU, which will incur synchronization overhead.
You can use NVIDIA Visual Profiler to diagnose this kind of issue.
Optimize cuDNN Convolution¶
Workspace Size¶
Some convolution algorithms in cuDNN use additional GPU memory as a temporary buffer. This is called “workspace,” and users can adjust the upper limit of its size. By increasing the limit of workspace size, cuDNN may be able to use better (i.e., memory consuming but faster) algorithm.
The default size (in bytes) is:
>>> chainer.backends.cuda.get_max_workspace_size()
8388608
and can be adjusted using chainer.backends.cuda.set_max_workspace_size()
.
Maximum required workspace size may vary depending on various conditions such as GPU hardware and batch size of inputs.
Auto-Tuner¶
Some convolution algorithms in cuDNN support the auto-tuner feature that finds the fastest convolution algorithm for given inputs.
You can turn on this feature by setting autotune
configuration to True
.
See Configuring Chainer for detailed descriptions.
Note
Auto-tuner tries to find the best algorithm for every first observation of the input shape combination. Therefore, the first batch will become slower when auto-tuner is enabled. The result of auto-tuner is cached on memory so that it can be reused for data with the same input shape combination. In other words, algorithm selected in the first batch will be reused for the second and later batches, as long as the input shape combination is the same.
If you set autotune
configuration to False
, the default convolution algorithm will always be selected, regardless of the previous auto-tuner results.
Note
Auto-tuner always use the maximum workspace size.
Fine-Tune Configuration¶
There are some Chainer configuration values that affect performance. Although the default values work well in most cases, you can adjust the following configurations for better performance.
enable_backprop
If you are running your model for inference (i.e., you don’t have to use back propagation because you are not training the model), you can set this configuration to
False
to improve performance and reduce memory consumption.type_check
By default, Chainer checks the integrity between input data and functions. This makes possible to display friendly message when, for example, data with invalid dtype or shape is given to a function. By setting this configuration to
False
, you can let Chainer skip such check to improve performance. It is recommended to turn off the check only for well-tested code and input data.
See Configuring Chainer for detailed descriptions.
Load Datasets Concurrently¶
If loading process of your dataset is I/O-bound or CPU-bound, consider using chainer.iterators.MultithreadIterator
or chainer.iterators.MultiprocessIterator
to load dataset concurrently using multiple threads or processes, instead of chainer.iterators.SerialIterator
which works in a single thread in a single process.
Use Multiple GPUs¶
You can utilize multiple GPUs to make the training process faster.
For data parallelism, you can use chainer.training.updaters.ParallelUpdater
or chainer.training.updaters.MultiprocessParallelUpdater
instead of chainer.training.updaters.StandardUpdater
.
For model parallelism, you need to manually transfer each chainer.Link
in your model to each device.
See Using GPU(s) in Chainer for the working examples of each case.
Use Multiple Nodes¶
You can scale-out the training process of your Chainer model to multiple-node cluster by using ChainerMN, an additional package for Chainer which enables distributed deep learning. See ChainerMN Official Documentation for details.
Upgrade Guide¶
This is a list of changes introduced in each release that users should be aware of when migrating from older versions. Most changes are carefully designed not to break existing code; however changes that may possibly break them are highlighted with a box.
Chainer v4¶
Introduction of Backend Namespace¶
We introduced chainer.backends
subpackage for future support of various backend libraries other than NumPy and CuPy.
By this change, chainer.cuda
module is now moved to chainer.backends.cuda
.
This does not break the existing code; you can safely continue to use chainer.cuda
(e.g., from chainer import cuda
) but it is now encouraged to use from chainer.backends import cuda
instead.
Namespace Changes for Updaters¶
chainer.training.StandardUpdater
and chainer.training.ParallelUpdater
are now moved to chainer.training.updaters.StandardUpdater
and chainer.training.updaters.ParallelUpdater
respectively, to align with the namespace convention of other subpackages.
See the discussion in #2982 for more details.
This change does not break the existing code; you can safely continue to use updater classes directly under chainer.training
but it is now encouraged to use chainer.training.updaters
instead.
Namespace Changes for Optimizer Hooks¶
Optimizer hook functions are moved from chainer.optimizer.*
to chainer.optimizer_hooks.*
.
For example, chainer.optimizer.WeightDecay
is now located chainer.optimizer_hooks.WeightDecay
.
If the existing code is using hooks directly under chainer.optimizer
, DeprecationWarning
will be shown.
You are now encouraged to use chainer.optimizer_hooks
instead.
Prohibition of Mixed Use of Arrays on Different Devices in Function Arguments¶
Argument validation of functions is now strictened to check device consistency of argument variables to provide better error messages to users. Suppose the following code:
v1 = chainer.Variable(np.arange(10, dtype=np.float32)) # CPU
v2 = chainer.Variable(cupy.arange(10, dtype=cupy.float32)) # GPU
# The line below raises an exception, because arguments are on different device.
F.maximum(v1, v2)
Prior to v4, the above code raises an exception like ValueError: object __array__ method not producing an array
, which was difficult to understand.
In v4, the error message would become TypeError: incompatible array types are mixed in the forward input (Maximum)
.
This kind of error usually occurs by mistake (for example, not performing to_gpu
for some variables).
Attention
As the argument validation is strictened, call of functions intentionally mixing NumPy/CuPy arrays in arguments will not work in Chainer v4. Please transfer all arrays to the same device before calling functions.
References to Function Nodes Not Retained in TimerHook and CupyMemoryProfilerHook¶
To reduce memory consumption, references to the function nodes will no longer be retained in the chainer.function_hooks.CupyMemoryProfileHook
and chainer.function_hooks.TimerHook
.
See the discussion in #4300 for more details.
Attention
The existing code using function nodes retained in call_history
attribute of these hooks will not work.
The first element of call_history
became the name of the function, instead of the function node instance itself.
You can define your own function hook if you need to access the function node instances.
Update of Docker Images¶
Chainer official Docker images (see Installation for details) are now updated to use CUDA 8.0 and cuDNN 6.0. This change was introduced because CUDA 7.5 does not support NVIDIA Pascal GPUs.
To use these images, you may need to upgrade the NVIDIA driver on your host. See Requirements of nvidia-docker for details.
CuPy v4¶
Chainer v4 requires CuPy v4 if you need GPU support. Please see the Upgrade Guide for CuPy v4 for details.
Chainer v3¶
Introduction of New-style Functions¶
This release introduces new-style functions (classes inheriting from FunctionNode
) that support double backward (gradient of gradient).
See the Release Note for v3.0.0 for the usage of this feature.
Many of Functions are already migrated to new-style, although some of functions are still old-style (classes inheriting from Function
).
We are going to migrate more old-style functions to new-style in upcoming minor releases.
This does not break the existing code.
Old-style functions (classes inheriting from Function
) are still supported in v3 and future versions of Chainer.
If you are going to write new functions, it is encouraged to use FunctionNode
to support double backward.
Attention
Users relying on undocumented function APIs (directly instantiating old-style classes) may experience an error like TypeError: 'SomeFunction' object is not callable
after upgrading to v3.
Please use the function APIs documented in Functions.
Changed Behavior of matmul Function¶
The behavior of chainer.functions.matmul()
has been changed to behave like the corresponding NumPy function (numpy.matmul()
).
See the discussion in #2426 for more details.
Attention
The existing code using chainer.functions.matmul()
may require modification to work with Chainer v3.
Also note that chainer.functions.batch_matmul()
is now deprecated by this change.
You can rewrite it using chainer.functions.matmul()
.
Removed use_cudnn Argument in spatial_transformer_grid and spatial_transformer_sampler Functions¶
use_cudnn
argument has been removed from chainer.functions.spatial_transformer_grid()
and chainer.functions.spatial_transformer_sampler()
.
See the discussion in #2955 for more details.
Attention
The existing code using use_cudnn
argument of chainer.functions.spatial_transformer_grid()
and chainer.functions.spatial_transformer_sampler()
require modification to work with Chainer v3.
Please use the configuration context (e.g., with chainer.using_config('use_cudnn', 'auto'):
) to enable or disable use of cuDNN.
See Configuring Chainer for details.
CuPy v2¶
Chainer v3 requires CuPy v2 if you need GPU support. Please see the Upgrade Guide for CuPy v2 for details.
Chainer v2¶
See Upgrade Guide from v1 to v2 for the changes introduced in Chainer v2.
Upgrade Guide from v1 to v2¶
This document provides detailed information of differences between Chainer v1 and v2. You will know by reading it which part of your code is required (or recommended) to be fixed when you upgrade Chainer from v1 to v2.
- CuPy
- Global configurations
- Variable
- Function
- Link/Chain/ChainList
- wscale option is removed from links
- bias option is removed from links
- The bias vector is enabled by default in N-dimensional convolution links
- init_weight function is removed
- The order of arguments of GRU is changed
- The default value of the forget bias for LSTM and StatelessLSTM is changed to 1
- The interfaces of GRU and LSTM are aligned
- Aliases of links in chainer.functions are removed
- Parameter link is removed
- New-style parameter registration APIs are added to Link
- New-style child link registration APIs are added to Chain
- The input-size placeholder of links are made optional
- Optimizer
- Serializer
- Trainer and Extension
- Reporter
- Other utilities
CuPy¶
CuPy has been separated from Chainer into a separate package¶
CuPy, which was originally a part of Chainer, has been separated into a different Python package since Chainer v2.
It changes the way to set up Chainer with CUDA support.
In particular, you have to separately install cupy
package to enable CUDA support.
See Installation for the recommended installation steps.
Fortunately, there is no need of updating your source code to catch up with this change.
Global configurations¶
Training mode is configured by a thread-local flag¶
In Chainer v2, the concept of training mode is added.
It is represented by a thread-local flag chainer.config.train
, which is a part of the unified configuration.
When chainer.config.train
is True
, functions of Chainer run in the training mode, and otherwise they run in the test mode.
For example, BatchNormalization
and dropout()
behave differently in each mode.
In Chainer v1, such a behavior was configured by the train
or test
argument of each function.
This train/test argument has been removed in Chainer v2.
If your code is using the train
or test
argument, you have to update it.
In most cases, what you have to do is just removing the train
/ test
argument from any function calls.
Example
Consider the following model definition and the code to call it in test mode written for Chainer v1.
# Chainer v1
import chainer.functions as F
class MyModel(chainer.Link):
...
def __call__(self, x, train=True):
return f(F.dropout(x, train=train))
m = MyModel(...)
y = m(x, train=False)
In Chainer v2, it should be updated into the following code:
# Chainer v2
import chainer.functions as F
class MyModel(chainer.Link):
...
def __call__(self, x):
return f(F.dropout(x))
m = MyModel(...)
with chainer.using_config('train', False):
y = m(x)
Configurations are added and replace some of existing global flags¶
There are many global settings moved to the unified configuration other than the training mode. Following is the complete list of the configuration entries that have corresponding features in Chainer v1.
chainer.config.cudnn_deterministic
- It is corresponding to the
deterministic
argument of some convolution functions in Chainer v1. This argument has been removed since Chainer v2. If you are using this argument, you have to use thechainer.config.cudnn_deterministic
flag to change the behavior of the convolution functions. chainer.config.debug
- It is corresponding to the debug mode in Chainer v1, which was configured by
set_debug()
and extracted byis_debug()
. These functions are also available in Chainer v2, so you basically do not need to update the code related to the debug mode. chainer.config.enable_backprop
- It is corresponding to the backprop mode in Chainer v1.
The functions
no_backprop_mode()
andforce_backprop_mode()
are still available in Chainer v2, which automatically turns on/off theenable_backprop
flag. One important difference from Chainer v1 is that thevolatile
flag is removed fromVariable
. Therefore, there are more situations that you need to modify theenable_backprop
flag. chainer.config.keep_graph_on_report
- This flag configures whether or not to keep the computational graph alive for a reported variable.
In Chainer v2, when a
Variable
object is reported byreport()
, a copy of the variable isolated from the computational graph is created and stored by default. SettingTrue
to this flag, you can change this behavior and then the originalVariable
object is stored as is. See When a variable is reported, the variable is copied with the graph purged for the details. chainer.config.train
- It is corresponding to the
train
ortest
argument of some functions in Chainer v1. This argument has been removed since Chainer v2. If you are using this argument, you have to use thechainer.config.train
flag instead. See Training mode is configured by a thread-local flag for more details. chainer.config.type_check
- It is corresponding to the
Function.type_check_enable
flag. If your code touches this flag, you have to usechainer.config.type_check
instead. Note that the environment variableCHAINER_TYPE_CHECK
is still available in Chainer v2, so if you are only using the environment variable, there is no need of updating your code. chainer.config.use_cudnn
- It is corresponding to the
use_cudnn
argument of many functions that have cuDNN implementations. This argument has been removed since Chainer v2. If you are using this argument, you have to use thechainer.config.use_cudnn
flag instead. Note that this flag is ternary, not binary. See Configuring Chainer for more details.
These configurations can be modified in two ways.
Simply substituting a new value to an entry, like
chainer.config.train = False
.Using the
chainer.using_config
context manager. It can be used with thewith
statement of Python as follows:with chainer.using_config('train', False): do something # this code runs with chainer.config.train == False
It recovers the original configuration after quitting the
with
block.
The chainer.config
manages the thread-local configuration.
You can also set the global configuration by modifying chainer.global_config
.
Note that the global configuration is used only if the entry of the thread-local configuration is not explicitly set up.
Variable¶
Volatile flag is removed¶
The Variable.volatile
flag has been removed since Chainer v2.
Instead, the configuration chainer.config.enable_backprop
can be used to enable/disable the automatic differentiation feature.
If it is True
, Chainer always creates a computational graph on the forward propagation, which corresponds to passing non-volatile variables in Chainer v1.
Otherwise, Chainer does not create a graph, which corresponds to passing volatile variables in Chainer v1.
The biggest difference is that enable_backprop
is a thread-local flag, whereas volatile
was a flag local to each Variable
object.
Note that enable_backprop
flag has already existed in Chainer v1, which took effect only if all the inputs to the function have volatile == 'auto'
.
The chainer.config.enable_backprop
flag can be modified directly or by using using_config()
.
See Configuring Chainer for details.
There is also a convenience function, no_backprop_mode()
, to turn off the flag.
If you are using the Variable.volatile
flag, you have to stop setting this flag (it will not take effect), and set the enable_backprop
flag instead.
Example
Let model
be your model, and consider the following code that calls it in volatile mode.
# Chainer v1
x_data = ... # ndarray
x = chainer.Variable(x_data, volatile=True)
y = model(x)
In Chainer v2, it should be updated as follows.
# Chainer v2
x_data = ... # ndarray
x = chainer.Variable(x_data)
with chainer.no_backprop_mode():
y = model(x)
Variable is not a part of a computational graph anymore¶
The Variable
class has been separated into two distinct classes, the Variable
class and the VariableNode
class, since Chainer v2.
Every class:Variable object owns its own VariableNode
object.
A computational graph consists of Function
objects and VariableNode
objects.
When one applies a Function
to a Variable
, the VariableNode
object of the variable is extracted and set to one of the inputs of the function.
Note that the underlying data array of the variable is till held by the Variable
object.
It allows each Function
implementation to release unneeded arrays from the computational graph, resulting in greatly reduced memory consumption.
This change does not affect most users’ code.
If you are directly traversing the computational graph by yourself or modifying the graph ad-hoc, you may have to update your code.
In most cases, it is enough to just change Variable
into VariableNode
in the code traversing the computational graph.
Parameter has to be an instance of Parameter class¶
Chainer v2 has a subclass of Variable
called Parameter
.
This class has an interface convenient on setting up a parameter variable registered to Link
.
You basically do not need to update your code because Link.add_param()
creates a Parameter
object in Chainer v2.
There is a new recommended way of registering parameters to a link in Chainer v2, though.
See here for the recommended way of parameter registration.
Small changes to Variable¶
There are some changes on the interface and specification of methods.
len(variable)
returns the length of the first axis of the underlying array in Chainer v2. This is equivalent tolen(variable.data)
. It is different from the behavior of Chainer v1, in whichlen
returned the total number of elements in the underlying array.repr(variable)
returns a NumPy-like text representation of the underlying array in Chainer v2. In Chainer v1, it just returns a string that shows the name of the variable.
Function¶
The force_tuple option of split_axis is True by default¶
In Chainer v2, the force_tuple
argument of functions.split_axis()
is set to True
by default.
Therefore, it always returns a tuple regardless of the number of sections made after the split.
It was False
by default in Chainer v1.
Type check APIs are updated to enable lazy building of the error messages¶
In Chainer v2, the type check APIs are updated so that the overhead of checking types is greatly reduced. In order to achieve the overhead reduction, some APIs are changed.
If you have custom Function implementations that do type checking, you have to update your code. The following list shows which part has to be updated.
- Use
utils.type_check.eval()
instead ofExpr.eval
. - Use
utils.type_check.make_variable()
to create autils.type_check.Variable
object instead of directly constructing it by yourself. - Stop using
.name
attribute of any expression.
Background of this change:
In Chainer v1, the type checking APIs build an abstract syntax tree (AST) based on each expression that tests some condition.
The AST is used to emit a kind error message.
However, building an AST requires constructions of many Python objects, which adds large Python overheads.
In Chainer v2, the Function.type_check_forward()
method is called once or twice.
At the first call, the type checking APIs run in light-weight mode, where it does not build an AST and just checks the condition.
The second call is made only if there is a test that fails, where it builds an AST.
This change makes the ordinary path of running the type checking much faster, while keeping the kind error messages.
Methods to release unneeded arrays are added¶
As is written above, Chainer v2 introduced a new mechanism to reduce the memory consumption of each Function
implementation.
In many cases, a Function
implementation does not need some input arrays in its backward computation.
A new method called Function.retain_inputs()
can be used to specify which input arrays are actually needed.
This method must not be called from the outside of Function.forward()
.
Example
For example, consider the following simple addition function.
class AddFunction(chainer.Function):
def forward(self, inputs):
return inputs[0] + inputs[1],
def backward(self, inputs, grad_outputs):
return grad_outputs[0], grad_outputs[0]
It can be seen that the backward computation of this function does not use any of the inputs.
Then, specifying an empty tuple of indexes to retain_inputs()
will reduce the memory overhead.
class AddFunction(chainer.Function):
def forward(self, inputs):
self.retain_inputs(()) # does not retain both inputs
return inputs[0] + inputs[1],
def backward(self, inputs, grad_outputs):
return grad_outputs[0], grad_outputs[0]
In some cases, the function can (or have to) use the output arrays instead of the inputs in its backward computation.
In Chainer v1, we have written code that store the output arrays to attributes of the Function
object and reuse them in the backward()
method.
In Chainer v2, it is recommended to use Function.retain_outputs()
to declare which outputs are required in the backward computation.
The retained output arrays can be accessed via Function.output_data
.
Note
The existing Function
implementations that store the output arrays to its attributes will run correctly in Chainer v2.
There is no any memory overhead right now.
It is recommended to use retain_outputs()
, though, so that we can incorporate more memory optimization in the future.
Example
For example, consider the following simple implementation of the tanh function.
class TanhFunction(chainer.Function):
def forward(self, inputs):
xp = chainer.cuda.get_array_module(inputs[0])
self.y = xp.tanh(inputs[0])
return self.y,
def backward(self, inputs, grad_outputs):
one = self.y.dtype.type(1) # avoid type promotion
return grad_outputs[0] * (one - self.y * self.y),
We can use retain_outputs()
instead of preserving the output array by ourselves as follows.
class TanhFunction(chainer.Function):
def forward(self, inputs):
self.retain_outputs((0,))
xp = chainer.cuda.get_array_module(inputs[0])
return xp.tanh(inputs[0]),
def backward(self, inputs, grad_outputs):
y = self.output_data[0]
one = y.dtype.type(1) # avoid type promotion
return grad_outputs[0] * (one - y * y)
Link/Chain/ChainList¶
wscale option is removed from links¶
The wscale
option has been removed from links since Chainer v2.
If you are using wscale option, you have to update your code.
The recommended way is to explicitly set the initializer.
Example
Consider the case of adding a Linear
link with the weight initialized by 0.5x of the default initialization.
# Chainer v1
linear = chainer.links.Linear(10, 5, wscale=0.5)
Note that the default initializer of the weight matrix of Linear
is a normal distribution of the standard deviation \(1 / \sqrt{fan in}\).
Therefore, it can be fixed as follows.
# Chainer v2
linear = chainer.links.Linear(10, 5, initialW=chainer.initializers.Normal(0.5 / math.sqrt(10)))
Or, by using the fact that initializers.HeNormal
provides the initialization with a normal distribution of the standard deviation \(scale * \sqrt{2 / fan in}\), the following code is also equivalent to the original.
# Chainer v2, using HeNormal
linear = chainer.links.Linear(10, 5, initialW=chainer.initializers.HeNormal(0.5 / math.sqrt(2))
bias option is removed from links¶
In Chainer v2, the bias
option is removed from the following links: Linear
, Convolution2D
, Deconvolution2D
, and DilatedConvolution2D
.
The effect of this argument was duplicated with the initial_bias
option.
Use initial_bias
instead.
The bias vector is enabled by default in N-dimensional convolution links¶
In Chainer v2, the bias parameter is enabled by default in ConvolutionND
and DeconvolutionND
.
It was unintentionally disabled by default in Chainer v1.
If you are using ConvolutionND or DeconvolutionND without specifying the initial_bias
argument, you have to fix your code.
If you want to keep the old behavior (i.e., no bias vector is created by the link), pass nobias=True
to the link at the construction.
Otherwise it will automatically create a bias vector.
init_weight function is removed¶
The chainer.initializers.init_weight
function that was used on weight initialization has been removed since Chainer v2.
You have to update your code if you are using init_weight
.
In most cases, the update is simple: pass an initializer to Parameter
.
Example
Consider the following code that initializes a weight matrix randomly and a bias vector by zero.
# Chainer v1
class MyLink(chainer.Link):
def __init__(self):
super(MyLink, self).__init__(
W=(10, 5),
b=(5,),
)
chainer.initializers.init_weight(self.W, chainer.initializers.Normal(0.05))
self.b.data.fill(0)
...
This code should be fixed as follows (see the next topic for the use of Parameter
).
# Chainer v2
class MyLink(chainer.Link):
def __init__(self):
super(MyLink, self).__init__()
self.W = chainer.Parameter(chainer.initializers.Normal(0.05), (10, 5))
self.b = chainer.Parameter(0, (5,))
...
The order of arguments of GRU is changed¶
In Chainer v2, the first two arguments of GRU
is the input size and the output size.
It was reversed in Chainer v1, causing an inconsistent interface compared to other links including LSTM
.
If you are using GRU
, you have to update your code.
The update is done by simply flipping the first two arguments.
Example
Consider the following code that creates a GRU
link.
# Chainer v1
gru = chainer.links.GRU(20, 10)
It should be fixed into the following code.
# Chainer v2
gru = chainer.links.GRU(10, 20)
Note that if you were omitting the output size, the code works as is because GRU
supports the omitted input size.
# Chainer v1/v2
gru = chainer.links.GRU(20)
The default value of the forget bias for LSTM and StatelessLSTM is changed to 1¶
In Chainer v2, the default forget bias value of LSTM
and StatelessLSTM
links is changed to 1.
This change is based on the paper reporting that using a large forget bias improves the training performance.
The new behavior is also consistent with the implementation of BasicLSTMCell in TensorFlow.
It will improve the most use cases of LSTMs, although this change would break the reproducibility of the existing experiments.
If you want to keep the same initialization procedure, you have to update your code.
The change is simple: pass forget_bias_init=0
to LSTM
and StatelessLSTM
.
The interfaces of GRU and LSTM are aligned¶
In Chainer v1, GRU
was stateless, as opposed to the current implementation.
To align with the naming convention of LSTM links, we have changed the naming convention from Chainer v2 so that the shorthand name points the stateful links.
If you are using StatelessGRU
for stateless version, whose implementation is identical to chainer.linksGRU
in v1.
Aliases of links in chainer.functions are removed¶
For the compatibility reason, there were some links that have aliases in the chainer.functions
module.
These aliases are removed in Chainer v2.
Use chainer.links
instead.
Parameter link is removed¶
The chainer.links.Parameter
link is removed in Chainer v2.
This link existed in Chainer v1 only for the backward compatibility.
Use chainer.Parameter
instead (for the new Parameter
class, see Parameter has to be an instance of Parameter class).
New-style parameter registration APIs are added to Link¶
In Chainer v2, Link.init_scope()
method returns a context manager that automatically registers a Parameter
object to the link at setting it to an attribute.
If you are using IDE like PyCharm, it is recommended to use this new-style parameter registration so that IDEs can easily detect the existence of the parameter as an attribute.
It is also a good practice to use the new-style API even if you are not using IDEs, if you are planning to make the code public.
Note
The existing code that uses the conventional way of registering parameters are still valid.
Example
For example, the following link initialization code
# Chainer v1
class MyLink(chainer.Link):
def __init__(self):
super(MyLink, self).__init__(
W=(10, 5),
b=(5,),
)
chainer.initializers.Normal(0.05)(self.W.data)
self.b.data.fill(0)
...
is recommended to be updated as follows.
# Chainer v2
class MyLink(chainer.Link):
def __init__(self):
super(MyLink, self).__init__()
with self.init_scope():
self.W = chainer.Parameter(chainer.initializers.Normal(0.05), (10, 5))
self.b = chainer.Parameter(0, (5,)) # initialize by zero
...
Note
To keep a Parameter
object as an attribute without registration, you can set the attribute without using the with self.init_scope():
block.
New-style child link registration APIs are added to Chain¶
Like Parameter
, a Link
object is also automatically registered to a Chain
object by substitution to an attribute within a init_scope()
scope.
If you are using IDE like PyCharm, it is recommended to use the new-style child link registration so that IDEs can easily detect the existence of the child link as an attribute.
It is also a good practice to use the new-style API even if you are not using IDEs, if you are planning to make the code public.
Note
The existing code that uses the conventional way of registering child links are still valid.
Example
For example, the following chain initialization code
# Chainer v1
class MyMLP(chainer.Chain):
def __init__(self):
super(MyMLP, self).__init__(
layer1=L.Linear(None, 20),
layer2=L.Linear(None, 30),
)
...
is recommended to be updated as follows.
# Chainer v2
class MyMLP(chainer.Chain):
def __init__(self):
super(MyMLP, self).__init__()
with self.init_scope():
self.layer1 = L.Linear(20)
self.layer2 = L.Linear(30)
Note that this example also demonstrates the use of new APIs with the omitted input size, explained below.
Note
To keep a Link
object as an attribute without registration, you can set the attribute without using the with self.init_scope():
block.
The input-size placeholder of links are made optional¶
In Chainer v2, the input size of many links, including Linear
and Convolution2D
, is made optional.
In Chainer v1, we had to use None
as the placeholder to specify that the input size should be determined at the first iteration.
The placeholder can also be used in Chainer v2, although it is easier to just omit the input size.
See the previous item for the example of omitting the input size of Linear
.
The following links currently support the omitted input size.
Optimizer¶
Deprecated methods of Optimizer are removed¶
The following methods are removed from Optimizer
.
These methods have been already deprecated in the past versions.
If you are using these methods, you have to update your code.
zero_grads
: useLink.zerograds()
instead.compute_grads_norm
: you can compute the gradient norm by iterating the list of parameters byLink.params()
.clip_grads
: useGradientClipping
instead.weight_decay
: useWeightDecay
instead.accumulate_grads
: useLink.addgrads()
instead.
GradientMethod uses Link.cleargrads instead of Link.zerograds by default¶
In Chainer v2, GradientMethod
clears the gradient before running backprop by Link.cleargrads()
.
It means that the gradient of each parameter is initialized by None
instead of a zero array.
Note that all the optimizer implementations provided by Chainer are subclasses of GradientMethod
, and therefore this change affects all of them.
In most cases, you do not need to update your code.
If your code relies on the zeroing initialization, you have to fix your code to explicitly initialize the gradient by zero, or to pass False
to GradientMethod.use_cleargrads()
.
GradientMethod is redesigned to allow parameter-specific update rules¶
In Chainer v2, the new class UpdateRule
is used to define an update rule specific to each Parameter
object.
The UpdateRule
is set to each Parameter
object, and is used at each update step.
This object implements an update formula using the data and gradient arrays.
Each UpdateRule
object has enabled
flag, which configures if the update rule should be applied to that parameter on update.
By setting the flag to False
, you can freeze the parameter.
There is also a convenient method Link.enable_update()
and Link.disable_update()
, which configure the flag of each parameter under the link hierarchy.
In other frameworks, a similar feature is called layer freezing.
In Chainer v2, this is officially supported by these methods.
Each UpdateRule
object can also hold its own hook functions similar to Optimizer
.
The built-in hook functions except for GradientClipping
can also be used as a hook function of UpdateRule
.
In most cases, you do not have to update your code because each optimizer automatically sets up an appropriate UpdaterRule
object to each parameter.
If you are using a custom gradient-based optimizer implementation, you need to update the implementation. The following list shows what you have to do.
- Write a subclass of
UpdateRule
that implements the update rule. - Rewrite your
GradientMethod
implementation. The new implementation only has to set up the update rule for each parameter in the target link.
You can see live examples in the optimizer implementations provided by Chainer.
Serializer¶
None is serializable¶
In Chainer v2, all serializers start supporting None
value to be serialized and deserialized.
Users’ code can rely on this feature, i.e., it can serialize and deserialize None
value with any given serializer.
This change only affects your code if it provides its own serializer implementations.
Trainer and Extension¶
Updater and Evaluator pass raw data arrays to the loss function¶
In Chainer v2, Updater
and Evaluator
pass raw data arrays to the loss function without wrapping them with Variable
.
You might need to update your code so that the loss function (in most cases, the model’s __call__
) accepts raw arrays.
Note that raw arrays can be directly passed to any Function
; they are automatically wrapped by Variable
.
For example, if the input is directly passed to a Function
object (or any function under chainer.functions
), you do not need to update the code.
Example
Consider the following code that obtains the shape of the input via Variable.data
.
# Chainer v1
class MyLink(chainer.Link):
def __call__(self, x):
shape = x.data.shape # valid if x is Variable, invalid if x is ndarray
...
It should be updated so that the link also accepts a raw array as the input.
In this case, we have Variable.shape
which is equivalent to data.shape
, so you can simply write as follows.
# Chainer v2
class MyLink(chainer.Link):
def __call__(self, x):
shape = x.shape # valid regardless of x being Variable or ndarray
...
trigger option is removed from snapshot and snapshot_object¶
In Chainer v2, the trigger
option is removed from the snapshot()
and snapshot_object()
extensions.
The effect of the option was duplicated with the trigger
option of Trainer.extend
.
If you are passing the trigger
argument to these extensions, you have to update your code.
The update can be done by passing the value to the corresponding Trainer.extend
.
Example
Assume that trainer
is an instance of Trainer
, and consider that you were adding a snapshot()
extension as follows.
# Chainer v1
trainer.extend(chainer.training.extensions.snapshot(trigger=(1000, 'iteration')))
It should be updated as follows (note that this code also works with Chainer v1).
# Chainer v1/v2
trainer.extend(chainer.training.extensions.snapshot(), trigger=(1000, 'iteration'))
Extension.invoke_before_training is removed¶
In Chainer v2, The attribute invoke_before_training
of Extension
is removed.
Instead, the Extension.initialize
method is added.
This method is called by Trainer.run
before entering the training loop.
In Chainer v1, the extension is just called before entering the training loop when invoke_before_training
is True
.
If you have a custom extension that has invoke_before_training=True
, you have to update the code.
What you have to do is to remove the invoke_before_training
flag and override initialize()
method.
If you are using the make_extension()
decorator, you can set the initialize
function by passing the initializer
argument to make_extension()
.
The dump_graph extension dumps the valid graph only at its first invocation¶
In Chainer v2, the dump_graph()
extension dumps the valid computational graph only at its first invocation.
If you want to dump the graph more than once, you have to fix the code.
The easiest fix is setting the chainer.config.keep_graph_on_report
flag to True
.
Note that this fix will cancel the improvement on the memory consumption made in Chainer v2.
More memory-efficient fix is to dump the graph without using an extension, e.g. by customizing the loss function or the updater.
Here is the background of this change.
In Chainer v2, the Reporter copies reported variables with purging the computational graph by default.
On the other hand, the dump_graph()
extension requires the computational graph reachable from the reported variable.
In order to make the graph available, the dump_graph()
extension turns on the chainer.config.keep_graph_on_report
flag at its initializer (i.e., it turns on the graph before entering the training loop).
Since we also wanted to achieve the memory efficiency, the dump_graph()
extension turns off the flag after dumping the graph at its first invocation (strictly speaking, it recovers the original value).
As a result, the computational graph is not available from the second invocation.
Since the dump_graph()
recovers the original flag value at its invocation, you can keep the graph dumped more than once by changing the original flag value.
Reporter¶
When a variable is reported, the variable is copied with the graph purged¶
In Chainer v2, when a Variable
object is reported using report()
function (or directly using Reporter
), a copy of the variable is made without preserving the computational graph.
If your code depends on the reachability of the computational graph from the reported variable, you have to update your code.
The easiest way to update your code is setting chainer.config.keep_graph_on_report
to True
, then Chainer will keep the computational graph reachable from the reported variable.
The possible examples that are affected by this change are as follows (not exhaustive).
- A custom extension that runs backprop from a reported variable. It is definitely an example of assuming the reachability of the computational graph from the reported variable.
- An extension that visualizes the computational graph from a reported variable.
If you are writing such an extension by yourself, you have to turn on the
keep_graph_on_report
flag. Thedump_graph()
extension is another example, for which see the above item for the details.
This change is made for the memory performance reason; with this change, the memory used by the computational graph for training is immediately released before invoking extensions.
Therefore, changing the behavior by overwriting chainer.config.keep_graph_on_report
may increase the memory consumption.
It may cause an out-of-memory error if the computational graph of the loss function consumes almost all the memory available in your environment and there is an extension that uses a certain amount of memory (e.g. Evaluator
).
Other utilities¶
Some obsolete classes and functions are removed¶
The following classes and functions are removed in Chainer v2.
chainer.Flag
chainer.FunctionSet
(UseChain
orChainList
instead)chainer.cuda.init
(It did nothing except for callingcheck_cuda_available()
)chainer.cuda.empty
(Usecupy.empty()
)chainer.cuda.empty_like
(Usecupy.empty_like()
)chainer.cuda.full
(Usecupy.full()
)chainer.cuda.full_like
(Usecupy.full_like()
)chainer.cuda.ones
(Usecupy.ones()
)chainer.cuda.ones_like
(Usecupy.ones_like()
)chainer.cuda.zeros
(Usecupy.zeros()
)chainer.cuda.zeros_like
(Usecupy.zeros_like()
)
Comparison with Other Frameworks¶
A table for quick comparison¶
This table compares Chainer with other actively developed deep learning frameworks. Content is current as of July 2017.
Chainer | PyTorch | TensorFlow | Theano-based | Caffe1/Caffe2 | Torch7 | MXNet | DyNet | PaddlePaddle | DL4J | CNTK | neon | Knet.jl | Darknet | Thinc | ||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Basics | Language | Python | Python | Python | Python | Python/C++/ MATLAB | LuaJIT | Python/others | Python/C++ | Python/C++ | Java | BrainScript/ Python/C++ | Python | Julia | C | Python |
Approach | define-by-run | define-by-run | symbolic autograd | symbolic autograd | static | static/ manual grads | symbolic autograd/ manual grads/ define-by-run [1] | define-by-run | symbolic autograd | static/ manual grads/ symbolic autograd [2] | static/ symbolic autograd | static/ symbolic autograd [3] | define-by-run | static | callback-based define-by-run | |
CPU backend package | NumPy | TH | Eigen | NumPy | TH | mshadow | Eigen | ND4J | NumPy | Julia | NumPy | |||||
GPU backend package | CuPy | THC | Eigen | libgpuarray | THC | mshadow | Eigen | ND4J | neon | KnetArrays | CuPy | |||||
Primary sponsor | Preferred Networks | MILA | Amazon/Apache | CMU | Baidu | Skymind | Microsoft | Intel Nervana | Koç University | Joe Redmon | Explosion AI | |||||
NNs | CNNs | full | full | full | full | full | full | full | partial | full | full | full | full | partial | full | none |
RNNs | full | full | full | full | partial | full | full | full | full | full | full | partial | partial | partial | partial | |
Reverse-mode autograd | Y | Y | Y | Y | torch-autograd | Y | Y | Y | Y | ngraph | Y | with closures | ||||
Forward-mode autograd | tensorflow-forward-ad | Y | ||||||||||||||
Higher-order grads | Y [4] | Y | Y | Y | Y | |||||||||||
Variable-length loops | native | native | while_loop | scan | RNNs only | native | 2017 | native | RNNs only | none | dynamic axis | none | native | none | native | |
Different architectures per batch | native | native | fold | torch-autograd | MinPy | native | native | native | ||||||||
Performance | cuDNN support | full | full | partial | partial | full | full | full | partial | full | partial | full | N/A [5] | partial | ||
CPU/GPU generic backend | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y | |||||
Multi-GPU data parallelism | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y | |||
Multi-GPU model parallelism | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y | ||||||
Multiprocessing [6] | full | partial | full | |||||||||||||
Distributed training | ChainerMN | THD | Y | 2017 | torch-distlearn | Y | Y | Spark | Y | Y | ||||||
Misc | Runtime debugging | debug mode, typechecking, pdb | pdb | tfdbg | Monitor | pdb | Java debuggers | cntk.debugging | Gallium.jl | gdb | pdb | |||||
Trainer abstraction | native | tnt | Blocks, Lasagne, Keras | native | torchnet | native | native | native | native | native | ||||||
Reporter abstraction | native | tnt | native | torchnet | native | native | native | |||||||||
Web interface | ChainerUI, tensorboardX | tensorboardX, visdom | TensorBoard | DL4J-UI | Nervana Cloud | |||||||||||
Graph compilation engine | 2017 | XLA | 2017 | NNVM | ngraph |
[1] | Define-by-run is in development as of June 2017 and tracked in dmlc/mxnet#5705. It is also possible using the much slower MinPy extension. |
[2] | Symbolic autograd is in development as of June 2017 and tracked in deeplearning4j/nd4j#1750. |
[3] | Symbolic autograd is available only with ngraph backend (experimental). |
[4] | Some functions do not support higher-order differentiation. See chainer/chainer#4449. |
[5] | Nervana provides kernels that are meant to compete with cuDNN. |
[6] | Multiprocessing provides a significant performance improvement only for frameworks that use Python at runtime. |
Benchmarks¶
Benchmarks for convolutional networks can be found at convnet-benchmarks while some NLP benchmarks are at dynet-benchmark. Chainer wraps the latest available cuDNN kernels for CNNs and RNNs, so performance of most common networks that use these kernels is typically similar to that of other modern frameworks. As Chainer’s define-by-run approach means the user’s Python code is executed directly at runtime, particularly complex networks or those with very small tensor sizes may be slower than in static-graph frameworks.
License¶
Copyright (c) 2015 Preferred Infrastructure, Inc.
Copyright (c) 2015 Preferred Networks, Inc.
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the “Software”), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.