# Source code for torch.nn.modules.batchnorm

```
import torch
from .module import Module
from torch.nn.parameter import Parameter
from .. import functional as F
from .. import init
# TODO: check contiguous in THNN
# TODO: use separate backend functions?
class _BatchNorm(Module):
_version = 2
def __init__(self, num_features, eps=1e-5, momentum=0.1, affine=True,
track_running_stats=True):
super(_BatchNorm, self).__init__()
self.num_features = num_features
self.eps = eps
self.momentum = momentum
self.affine = affine
self.track_running_stats = track_running_stats
if self.affine:
self.weight = Parameter(torch.Tensor(num_features))
self.bias = Parameter(torch.Tensor(num_features))
else:
self.register_parameter('weight', None)
self.register_parameter('bias', None)
if self.track_running_stats:
self.register_buffer('running_mean', torch.zeros(num_features))
self.register_buffer('running_var', torch.ones(num_features))
self.register_buffer('num_batches_tracked', torch.tensor(0, dtype=torch.long))
else:
self.register_parameter('running_mean', None)
self.register_parameter('running_var', None)
self.register_parameter('num_batches_tracked', None)
self.reset_parameters()
def reset_running_stats(self):
if self.track_running_stats:
self.running_mean.zero_()
self.running_var.fill_(1)
self.num_batches_tracked.zero_()
def reset_parameters(self):
self.reset_running_stats()
if self.affine:
init.uniform_(self.weight)
init.zeros_(self.bias)
def _check_input_dim(self, input):
raise NotImplementedError
def forward(self, input):
self._check_input_dim(input)
exponential_average_factor = 0.0
if self.training and self.track_running_stats:
self.num_batches_tracked += 1
if self.momentum is None: # use cumulative moving average
exponential_average_factor = 1.0 / self.num_batches_tracked.item()
else: # use exponential moving average
exponential_average_factor = self.momentum
return F.batch_norm(
input, self.running_mean, self.running_var, self.weight, self.bias,
self.training or not self.track_running_stats,
exponential_average_factor, self.eps)
def extra_repr(self):
return '{num_features}, eps={eps}, momentum={momentum}, affine={affine}, ' \
'track_running_stats={track_running_stats}'.format(**self.__dict__)
def _load_from_state_dict(self, state_dict, prefix, local_metadata, strict,
missing_keys, unexpected_keys, error_msgs):
version = local_metadata.get('version', None)
if (version is None or version < 2) and self.track_running_stats:
# at version 2: added num_batches_tracked buffer
# this should have a default value of 0
num_batches_tracked_key = prefix + 'num_batches_tracked'
if num_batches_tracked_key not in state_dict:
state_dict[num_batches_tracked_key] = torch.tensor(0, dtype=torch.long)
super(_BatchNorm, self)._load_from_state_dict(
state_dict, prefix, local_metadata, strict,
missing_keys, unexpected_keys, error_msgs)
[docs]class BatchNorm1d(_BatchNorm):
r"""Applies Batch Normalization over a 2D or 3D input (a mini-batch of 1D
inputs with optional additional channel dimension) as described in the paper
`Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift`_ .
.. math::
y = \frac{x - \mathrm{E}[x]}{\sqrt{\mathrm{Var}[x] + \epsilon}} * \gamma + \beta
The mean and standard-deviation are calculated per-dimension over
the mini-batches and :math:`\gamma` and :math:`\beta` are learnable parameter vectors
of size `C` (where `C` is the input size). By default, the elements of :math:`\gamma` are sampled
from :math:`\mathcal{U}(0, 1)` and the elements of :math:`\beta` are set to 0.
Also by default, during training this layer keeps running estimates of its
computed mean and variance, which are then used for normalization during
evaluation. The running estimates are kept with a default :attr:`momentum`
of 0.1.
If :attr:`track_running_stats` is set to ``False``, this layer then does not
keep running estimates, and batch statistics are instead used during
evaluation time as well.
.. note::
This :attr:`momentum` argument is different from one used in optimizer
classes and the conventional notion of momentum. Mathematically, the
update rule for running statistics here is
:math:`\hat{x}_\text{new} = (1 - \text{momentum}) \times \hat{x} + \text{momemtum} \times x_t`,
where :math:`\hat{x}` is the estimated statistic and :math:`x_t` is the
new observed value.
Because the Batch Normalization is done over the `C` dimension, computing statistics
on `(N, L)` slices, it's common terminology to call this Temporal Batch Normalization.
Args:
num_features: :math:`C` from an expected input of size
:math:`(N, C, L)` or :math:`L` from input of size :math:`(N, L)`
eps: a value added to the denominator for numerical stability.
Default: 1e-5
momentum: the value used for the running_mean and running_var
computation. Can be set to ``None`` for cumulative moving average
(i.e. simple average). Default: 0.1
affine: a boolean value that when set to ``True``, this module has
learnable affine parameters. Default: ``True``
track_running_stats: a boolean value that when set to ``True``, this
module tracks the running mean and variance, and when set to ``False``,
this module does not track such statistics and always uses batch
statistics in both training and eval modes. Default: ``True``
Shape:
- Input: :math:`(N, C)` or :math:`(N, C, L)`
- Output: :math:`(N, C)` or :math:`(N, C, L)` (same shape as input)
Examples::
>>> # With Learnable Parameters
>>> m = nn.BatchNorm1d(100)
>>> # Without Learnable Parameters
>>> m = nn.BatchNorm1d(100, affine=False)
>>> input = torch.randn(20, 100)
>>> output = m(input)
.. _`Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift`:
https://arxiv.org/abs/1502.03167
"""
def _check_input_dim(self, input):
if input.dim() != 2 and input.dim() != 3:
raise ValueError('expected 2D or 3D input (got {}D input)'
.format(input.dim()))
[docs]class BatchNorm2d(_BatchNorm):
r"""Applies Batch Normalization over a 4D input (a mini-batch of 2D inputs
with additional channel dimension) as described in the paper
`Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift`_ .
.. math::
y = \frac{x - \mathrm{E}[x]}{ \sqrt{\mathrm{Var}[x] + \epsilon}} * \gamma + \beta
The mean and standard-deviation are calculated per-dimension over
the mini-batches and :math:`\gamma` and :math:`\beta` are learnable parameter vectors
of size `C` (where `C` is the input size). By default, the elements of :math:`\gamma` are sampled
from :math:`\mathcal{U}(0, 1)` and the elements of :math:`\beta` are set to 0.
Also by default, during training this layer keeps running estimates of its
computed mean and variance, which are then used for normalization during
evaluation. The running estimates are kept with a default :attr:`momentum`
of 0.1.
If :attr:`track_running_stats` is set to ``False``, this layer then does not
keep running estimates, and batch statistics are instead used during
evaluation time as well.
.. note::
This :attr:`momentum` argument is different from one used in optimizer
classes and the conventional notion of momentum. Mathematically, the
update rule for running statistics here is
:math:`\hat{x}_\text{new} = (1 - \text{momentum}) \times \hat{x} + \text{momemtum} \times x_t`,
where :math:`\hat{x}` is the estimated statistic and :math:`x_t` is the
new observed value.
Because the Batch Normalization is done over the `C` dimension, computing statistics
on `(N, H, W)` slices, it's common terminology to call this Spatial Batch Normalization.
Args:
num_features: :math:`C` from an expected input of size
:math:`(N, C, H, W)`
eps: a value added to the denominator for numerical stability.
Default: 1e-5
momentum: the value used for the running_mean and running_var
computation. Can be set to ``None`` for cumulative moving average
(i.e. simple average). Default: 0.1
affine: a boolean value that when set to ``True``, this module has
learnable affine parameters. Default: ``True``
track_running_stats: a boolean value that when set to ``True``, this
module tracks the running mean and variance, and when set to ``False``,
this module does not track such statistics and always uses batch
statistics in both training and eval modes. Default: ``True``
Shape:
- Input: :math:`(N, C, H, W)`
- Output: :math:`(N, C, H, W)` (same shape as input)
Examples::
>>> # With Learnable Parameters
>>> m = nn.BatchNorm2d(100)
>>> # Without Learnable Parameters
>>> m = nn.BatchNorm2d(100, affine=False)
>>> input = torch.randn(20, 100, 35, 45)
>>> output = m(input)
.. _`Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift`:
https://arxiv.org/abs/1502.03167
"""
def _check_input_dim(self, input):
if input.dim() != 4:
raise ValueError('expected 4D input (got {}D input)'
.format(input.dim()))
[docs]class BatchNorm3d(_BatchNorm):
r"""Applies Batch Normalization over a 5D input (a mini-batch of 3D inputs
with additional channel dimension) as described in the paper
`Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift`_ .
.. math::
y = \frac{x - \mathrm{E}[x]}{ \sqrt{\mathrm{Var}[x] + \epsilon}} * \gamma + \beta
The mean and standard-deviation are calculated per-dimension over
the mini-batches and :math:`\gamma` and :math:`\beta` are learnable parameter vectors
of size `C` (where `C` is the input size). By default, the elements of :math:`\gamma` are sampled
from :math:`\mathcal{U}(0, 1)` and the elements of :math:`\beta` are set to 0.
Also by default, during training this layer keeps running estimates of its
computed mean and variance, which are then used for normalization during
evaluation. The running estimates are kept with a default :attr:`momentum`
of 0.1.
If :attr:`track_running_stats` is set to ``False``, this layer then does not
keep running estimates, and batch statistics are instead used during
evaluation time as well.
.. note::
This :attr:`momentum` argument is different from one used in optimizer
classes and the conventional notion of momentum. Mathematically, the
update rule for running statistics here is
:math:`\hat{x}_\text{new} = (1 - \text{momentum}) \times \hat{x} + \text{momemtum} \times x_t`,
where :math:`\hat{x}` is the estimated statistic and :math:`x_t` is the
new observed value.
Because the Batch Normalization is done over the `C` dimension, computing statistics
on `(N, D, H, W)` slices, it's common terminology to call this Volumetric Batch Normalization
or Spatio-temporal Batch Normalization.
Args:
num_features: :math:`C` from an expected input of size
:math:`(N, C, D, H, W)`
eps: a value added to the denominator for numerical stability.
Default: 1e-5
momentum: the value used for the running_mean and running_var
computation. Can be set to ``None`` for cumulative moving average
(i.e. simple average). Default: 0.1
affine: a boolean value that when set to ``True``, this module has
learnable affine parameters. Default: ``True``
track_running_stats: a boolean value that when set to ``True``, this
module tracks the running mean and variance, and when set to ``False``,
this module does not track such statistics and always uses batch
statistics in both training and eval modes. Default: ``True``
Shape:
- Input: :math:`(N, C, D, H, W)`
- Output: :math:`(N, C, D, H, W)` (same shape as input)
Examples::
>>> # With Learnable Parameters
>>> m = nn.BatchNorm3d(100)
>>> # Without Learnable Parameters
>>> m = nn.BatchNorm3d(100, affine=False)
>>> input = torch.randn(20, 100, 35, 45, 10)
>>> output = m(input)
.. _`Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift`:
https://arxiv.org/abs/1502.03167
"""
def _check_input_dim(self, input):
if input.dim() != 5:
raise ValueError('expected 5D input (got {}D input)'
.format(input.dim()))
```