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Source code for torch.nn.functional

r"""Functional interface"""
from __future__ import division

import warnings
import math

import torch
from torch._C import _infer_size, _add_docstr
from . import _reduction as _Reduction
from .modules import utils
from .modules.utils import _single, _pair, _triple, _list_with_default
from . import grad  # noqa: F401
from . import _VF
from .._jit_internal import boolean_dispatch, List


conv1d = _add_docstr(torch.conv1d, r"""
conv1d(input, weight, bias=None, stride=1, padding=0, dilation=1, groups=1) -> Tensor

Applies a 1D convolution over an input signal composed of several input
planes.

See :class:`~torch.nn.Conv1d` for details and output shape.

.. include:: cudnn_deterministic.rst

Args:
    input: input tensor of shape :math:`(\text{minibatch} , \text{in\_channels} , iW)`
    weight: filters of shape :math:`(\text{out\_channels} , \frac{\text{in\_channels}}{\text{groups}} , kW)`
    bias: optional bias of shape :math:`(\text{out\_channels})`. Default: ``None``
    stride: the stride of the convolving kernel. Can be a single number or
      a one-element tuple `(sW,)`. Default: 1
    padding: implicit paddings on both sides of the input. Can be a
      single number or a one-element tuple `(padW,)`. Default: 0
    dilation: the spacing between kernel elements. Can be a single number or
      a one-element tuple `(dW,)`. Default: 1
    groups: split input into groups, :math:`\text{in\_channels}` should be divisible by
      the number of groups. Default: 1

Examples::

    >>> filters = torch.randn(33, 16, 3)
    >>> inputs = torch.randn(20, 16, 50)
    >>> F.conv1d(inputs, filters)
""")

conv2d = _add_docstr(torch.conv2d, r"""
conv2d(input, weight, bias=None, stride=1, padding=0, dilation=1, groups=1) -> Tensor

Applies a 2D convolution over an input image composed of several input
planes.

See :class:`~torch.nn.Conv2d` for details and output shape.

.. include:: cudnn_deterministic.rst

Args:
    input: input tensor of shape :math:`(\text{minibatch} , \text{in\_channels} , iH , iW)`
    weight: filters of shape :math:`(\text{out\_channels} , \frac{\text{in\_channels}}{\text{groups}} , kH , kW)`
    bias: optional bias tensor of shape :math:`(\text{out\_channels})`. Default: ``None``
    stride: the stride of the convolving kernel. Can be a single number or a
      tuple `(sH, sW)`. Default: 1
    padding: implicit paddings on both sides of the input. Can be a
      single number or a tuple `(padH, padW)`. Default: 0
    dilation: the spacing between kernel elements. Can be a single number or
      a tuple `(dH, dW)`. Default: 1
    groups: split input into groups, :math:`\text{in\_channels}` should be divisible by the
      number of groups. Default: 1

Examples::

    >>> # With square kernels and equal stride
    >>> filters = torch.randn(8,4,3,3)
    >>> inputs = torch.randn(1,4,5,5)
    >>> F.conv2d(inputs, filters, padding=1)
""")  # noqa: E501

conv3d = _add_docstr(torch.conv3d, r"""
conv3d(input, weight, bias=None, stride=1, padding=0, dilation=1, groups=1) -> Tensor

Applies a 3D convolution over an input image composed of several input
planes.

See :class:`~torch.nn.Conv3d` for details and output shape.

.. include:: cudnn_deterministic.rst

Args:
    input: input tensor of shape :math:`(\text{minibatch} , \text{in\_channels} , iT , iH , iW)`
    weight: filters of shape :math:`(\text{out\_channels} , \frac{\text{in\_channels}}{\text{groups}} , kT , kH , kW)`
    bias: optional bias tensor of shape :math:`(\text{out\_channels})`. Default: None
    stride: the stride of the convolving kernel. Can be a single number or a
      tuple `(sT, sH, sW)`. Default: 1
    padding: implicit paddings on both sides of the input. Can be a
      single number or a tuple `(padT, padH, padW)`. Default: 0
    dilation: the spacing between kernel elements. Can be a single number or
      a tuple `(dT, dH, dW)`. Default: 1
    groups: split input into groups, :math:`\text{in\_channels}` should be divisible by
      the number of groups. Default: 1

Examples::

    >>> filters = torch.randn(33, 16, 3, 3, 3)
    >>> inputs = torch.randn(20, 16, 50, 10, 20)
    >>> F.conv3d(inputs, filters)
""")  # noqa: E501

conv_transpose1d = _add_docstr(torch.conv_transpose1d, r"""
conv_transpose1d(input, weight, bias=None, stride=1, padding=0, output_padding=0, groups=1, dilation=1) -> Tensor

Applies a 1D transposed convolution operator over an input signal
composed of several input planes, sometimes also called "deconvolution".

See :class:`~torch.nn.ConvTranspose1d` for details and output shape.

.. include:: cudnn_deterministic.rst

Args:
    input: input tensor of shape :math:`(\text{minibatch} , \text{in\_channels} , iW)`
    weight: filters of shape :math:`(\text{in\_channels} , \frac{\text{out\_channels}}{\text{groups}} , kW)`
    bias: optional bias of shape :math:`(\text{out\_channels})`. Default: None
    stride: the stride of the convolving kernel. Can be a single number or a
      tuple ``(sW,)``. Default: 1
    padding: ``dilation * (kernel_size - 1) - padding`` zero-padding will be added to both
      sides of each dimension in the input. Can be a single number or a tuple
      ``(padW,)``. Default: 0
    output_padding: additional size added to one side of each dimension in the
      output shape. Can be a single number or a tuple ``(out_padW)``. Default: 0
    groups: split input into groups, :math:`\text{in\_channels}` should be divisible by the
      number of groups. Default: 1
    dilation: the spacing between kernel elements. Can be a single number or
      a tuple ``(dW,)``. Default: 1

Examples::

    >>> inputs = torch.randn(20, 16, 50)
    >>> weights = torch.randn(16, 33, 5)
    >>> F.conv_transpose1d(inputs, weights)
""")

conv_transpose2d = _add_docstr(torch.conv_transpose2d, r"""
conv_transpose2d(input, weight, bias=None, stride=1, padding=0, output_padding=0, groups=1, dilation=1) -> Tensor

Applies a 2D transposed convolution operator over an input image
composed of several input planes, sometimes also called "deconvolution".

See :class:`~torch.nn.ConvTranspose2d` for details and output shape.

.. include:: cudnn_deterministic.rst

Args:
    input: input tensor of shape :math:`(\text{minibatch} , \text{in\_channels} , iH , iW)`
    weight: filters of shape :math:`(\text{in\_channels} , \frac{\text{out\_channels}}{\text{groups}} , kH , kW)`
    bias: optional bias of shape :math:`(\text{out\_channels})`. Default: None
    stride: the stride of the convolving kernel. Can be a single number or a
      tuple ``(sH, sW)``. Default: 1
    padding: ``dilation * (kernel_size - 1) - padding`` zero-padding will be added to both
      sides of each dimension in the input. Can be a single number or a tuple
      ``(padH, padW)``. Default: 0
    output_padding: additional size added to one side of each dimension in the
      output shape. Can be a single number or a tuple ``(out_padH, out_padW)``.
      Default: 0
    groups: split input into groups, :math:`\text{in\_channels}` should be divisible by the
      number of groups. Default: 1
    dilation: the spacing between kernel elements. Can be a single number or
      a tuple ``(dH, dW)``. Default: 1

Examples::

    >>> # With square kernels and equal stride
    >>> inputs = torch.randn(1, 4, 5, 5)
    >>> weights = torch.randn(4, 8, 3, 3)
    >>> F.conv_transpose2d(inputs, weights, padding=1)
""")  # noqa: E501

conv_transpose3d = _add_docstr(torch.conv_transpose3d, r"""
conv_transpose3d(input, weight, bias=None, stride=1, padding=0, output_padding=0, groups=1, dilation=1) -> Tensor

Applies a 3D transposed convolution operator over an input image
composed of several input planes, sometimes also called "deconvolution"

See :class:`~torch.nn.ConvTranspose3d` for details and output shape.

.. include:: cudnn_deterministic.rst

Args:
    input: input tensor of shape :math:`(\text{minibatch} , \text{in\_channels} , iT , iH , iW)`
    weight: filters of shape :math:`(\text{in\_channels} , \frac{\text{out\_channels}}{\text{groups}} , kT , kH , kW)`
    bias: optional bias of shape :math:`(\text{out\_channels})`. Default: None
    stride: the stride of the convolving kernel. Can be a single number or a
      tuple ``(sT, sH, sW)``. Default: 1
    padding: ``dilation * (kernel_size - 1) - padding`` zero-padding will be added to both
      sides of each dimension in the input. Can be a single number or a tuple
      ``(padT, padH, padW)``. Default: 0
    output_padding: additional size added to one side of each dimension in the
      output shape. Can be a single number or a tuple
      ``(out_padT, out_padH, out_padW)``. Default: 0
    groups: split input into groups, :math:`\text{in\_channels}` should be divisible by the
      number of groups. Default: 1
    dilation: the spacing between kernel elements. Can be a single number or
      a tuple `(dT, dH, dW)`. Default: 1

Examples::

    >>> inputs = torch.randn(20, 16, 50, 10, 20)
    >>> weights = torch.randn(16, 33, 3, 3, 3)
    >>> F.conv_transpose3d(inputs, weights)
""")  # noqa: E501

conv_tbc = _add_docstr(torch.conv_tbc, r"""
Applies a 1-dimensional sequence convolution over an input sequence.
Input and output dimensions are (Time, Batch, Channels) - hence TBC.

Args:
    input: input tensor of shape :math:`(\text{sequence length} \times batch \times \text{in\_channels})`
    weight: filter of shape (:math:`\text{kernel width} \times \text{in\_channels} \times \text{out\_channels}`)
    bias: bias of shape (:math:`\text{out\_channels}`)
    pad: number of timesteps to pad. Default: 0
""")


# Pooling
avg_pool1d = _add_docstr(torch.avg_pool1d, r"""
avg_pool1d(input, kernel_size, stride=None, padding=0, ceil_mode=False, count_include_pad=True) -> Tensor

Applies a 1D average pooling over an input signal composed of several
input planes.

See :class:`~torch.nn.AvgPool1d` for details and output shape.

Args:
    input: input tensor of shape :math:`(\text{minibatch} , \text{in\_channels} , iW)`
    kernel_size: the size of the window. Can be a single number or a
      tuple `(kW,)`
    stride: the stride of the window. Can be a single number or a tuple
      `(sW,)`. Default: :attr:`kernel_size`
    padding: implicit zero paddings on both sides of the input. Can be a
      single number or a tuple `(padW,)`. Default: 0
    ceil_mode: when True, will use `ceil` instead of `floor` to compute the
        output shape. Default: ``False``
    count_include_pad: when True, will include the zero-padding in the
        averaging calculation. Default: ``True``

Examples::

    >>> # pool of square window of size=3, stride=2
    >>> input = torch.tensor([[[1, 2, 3, 4, 5, 6, 7]]], dtype=torch.float32)
    >>> F.avg_pool1d(input, kernel_size=3, stride=2)
    tensor([[[ 2.,  4.,  6.]]])

""")


avg_pool2d = _add_docstr(torch._C._nn.avg_pool2d, r"""
avg_pool2d(input, kernel_size, stride=None, padding=0, ceil_mode=False, count_include_pad=True, divisor_override=None) -> Tensor

Applies 2D average-pooling operation in :math:`kH \times kW` regions by step size
:math:`sH \times sW` steps. The number of output features is equal to the number of
input planes.

See :class:`~torch.nn.AvgPool2d` for details and output shape.

Args:
    input: input tensor :math:`(\text{minibatch} , \text{in\_channels} , iH , iW)`
    kernel_size: size of the pooling region. Can be a single number or a
      tuple `(kH, kW)`
    stride: stride of the pooling operation. Can be a single number or a
      tuple `(sH, sW)`. Default: :attr:`kernel_size`
    padding: implicit zero paddings on both sides of the input. Can be a
      single number or a tuple `(padH, padW)`. Default: 0
    ceil_mode: when True, will use `ceil` instead of `floor` in the formula
        to compute the output shape. Default: ``False``
    count_include_pad: when True, will include the zero-padding in the
        averaging calculation. Default: ``True``
    divisor_override: if specified, it will be used as divisor, otherwise
         size of the pooling region will be used. Default: None
""")

avg_pool3d = _add_docstr(torch._C._nn.avg_pool3d, r"""
avg_pool3d(input, kernel_size, stride=None, padding=0, ceil_mode=False, count_include_pad=True, divisor_override=None) -> Tensor

Applies 3D average-pooling operation in :math:`kT \times kH \times kW` regions by step
size :math:`sT \times sH \times sW` steps. The number of output features is equal to
:math:`\lfloor\frac{\text{input planes}}{sT}\rfloor`.

See :class:`~torch.nn.AvgPool3d` for details and output shape.

Args:
    input: input tensor :math:`(\text{minibatch} , \text{in\_channels} , iT \times iH , iW)`
    kernel_size: size of the pooling region. Can be a single number or a
      tuple `(kT, kH, kW)`
    stride: stride of the pooling operation. Can be a single number or a
      tuple `(sT, sH, sW)`. Default: :attr:`kernel_size`
    padding: implicit zero paddings on both sides of the input. Can be a
      single number or a tuple `(padT, padH, padW)`, Default: 0
    ceil_mode: when True, will use `ceil` instead of `floor` in the formula
        to compute the output shape
    count_include_pad: when True, will include the zero-padding in the
        averaging calculation
    divisor_override: if specified, it will be used as divisor, otherwise
        size of the pooling region will be used. Default: None
""")


def fractional_max_pool2d_with_indices(input, kernel_size, output_size=None,
                                       output_ratio=None, return_indices=False,
                                       _random_samples=None):
    # type: (Tensor, BroadcastingList2[int], Optional[BroadcastingList2[int]], Optional[BroadcastingList2[float]], bool, Optional[Tensor]) -> Tuple[Tensor, Tensor]  # noqa
    r"""Applies 2D fractional max pooling over an input signal composed of several input planes.

    Fractional MaxPooling is described in detail in the paper `Fractional MaxPooling`_ by Ben Graham

    The max-pooling operation is applied in :math:`kH \times kW` regions by a stochastic
    step size determined by the target output size.
    The number of output features is equal to the number of input planes.

    Args:
        kernel_size: the size of the window to take a max over.
                     Can be a single number :math:`k` (for a square kernel of :math:`k \times k`)
                     or a tuple `(kH, kW)`
        output_size: the target output size of the image of the form :math:`oH \times oW`.
                     Can be a tuple `(oH, oW)` or a single number :math:`oH` for a square image :math:`oH \times oH`
        output_ratio: If one wants to have an output size as a ratio of the input size, this option can be given.
                      This has to be a number or tuple in the range (0, 1)
        return_indices: if ``True``, will return the indices along with the outputs.
                        Useful to pass to :func:`~torch.nn.functional.max_unpool2d`.

    Examples::
        >>> input = torch.randn(20, 16, 50, 32)
        >>> # pool of square window of size=3, and target output size 13x12
        >>> F.fractional_max_pool2d(input, 3, output_size=(13, 12))
        >>> # pool of square window and target output size being half of input image size
        >>> F.fractional_max_pool2d(input, 3, output_ratio=(0.5, 0.5))

    .. _Fractional MaxPooling:
        http://arxiv.org/abs/1412.6071
    """
    if output_size is None and output_ratio is None:
        raise ValueError("fractional_max_pool2d requires specifying either "
                         "an output_size or an output_ratio")
    if output_size is None:
        assert output_ratio is not None
        _output_ratio = _pair(output_ratio)
        output_size = [int(input.size(2) * _output_ratio[0]),
                       int(input.size(3) * _output_ratio[1])]

    if _random_samples is None:
        _random_samples = torch.rand(input.size(0), input.size(1), 2, dtype=input.dtype, device=input.device)
    return torch._C._nn.fractional_max_pool2d(input, kernel_size, output_size, _random_samples)


def _fractional_max_pool2d(input, kernel_size, output_size=None,
                           output_ratio=None, return_indices=False,
                           _random_samples=None):
    # type: (Tensor, BroadcastingList2[int], Optional[BroadcastingList2[int]], Optional[BroadcastingList2[float]], bool, Optional[Tensor]) -> Tensor  # noqa
    return fractional_max_pool2d_with_indices(input, kernel_size, output_size,
                                              output_ratio, return_indices,
                                              _random_samples)[0]

fractional_max_pool2d = boolean_dispatch(
    arg_name='return_indices',
    arg_index=4,
    default=False,
    if_true=fractional_max_pool2d_with_indices,
    if_false=_fractional_max_pool2d,
    module_name=__name__,
    func_name='fractional_max_pool2d')


def fractional_max_pool3d_with_indices(input, kernel_size, output_size=None,
                                       output_ratio=None, return_indices=False,
                                       _random_samples=None):
    # type: (Tensor, BroadcastingList3[int], Optional[BroadcastingList3[int]], Optional[BroadcastingList3[float]], bool, Optional[Tensor]) -> Tuple[Tensor, Tensor]  # noqa
    r"""Applies 3D fractional max pooling over an input signal composed of several input planes.

    Fractional MaxPooling is described in detail in the paper `Fractional MaxPooling`_ by Ben Graham

    The max-pooling operation is applied in :math:`kT \times kH \times kW` regions by a stochastic
    step size determined by the target output size.
    The number of output features is equal to the number of input planes.

    Args:
        kernel_size: the size of the window to take a max over.
                     Can be a single number :math:`k` (for a square kernel of :math:`k \times k \times k`)
                     or a tuple `(kT, kH, kW)`
        output_size: the target output size of the form :math:`oT \times oH \times oW`.
                     Can be a tuple `(oT, oH, oW)` or a single number :math:`oH` for a cubic output
                      :math:`oH \times oH \times oH`
        output_ratio: If one wants to have an output size as a ratio of the input size, this option can be given.
                      This has to be a number or tuple in the range (0, 1)
        return_indices: if ``True``, will return the indices along with the outputs.
                        Useful to pass to :func:`~torch.nn.functional.max_unpool3d`.

    Examples::
        >>> input = torch.randn(20, 16, 50, 32, 16)
        >>> # pool of cubic window of size=3, and target output size 13x12x11
        >>> F.fractional_max_pool3d(input, 3, output_size=(13, 12, 11))
        >>> # pool of cubic window and target output size being half of input size
        >>> F.fractional_max_pool3d(input, 3, output_ratio=(0.5, 0.5, 0.5))

    .. _Fractional MaxPooling:
        http://arxiv.org/abs/1412.6071
    """
    if output_size is None and output_ratio is None:
        raise ValueError("fractional_max_pool3d requires specifying either "
                         "an output_size or an output_ratio")
    if output_size is None:
        assert output_ratio is not None
        _output_ratio = _triple(output_ratio)
        output_size = [int(input.size(2) * _output_ratio[0]),
                       int(input.size(3) * _output_ratio[1]),
                       int(input.size(4) * _output_ratio[2])]

    if _random_samples is None:
        _random_samples = torch.rand(input.size(0), input.size(1), 3, dtype=input.dtype, device=input.device)
    return torch._C._nn.fractional_max_pool3d(input, kernel_size, output_size, _random_samples)


def _fractional_max_pool3d(input, kernel_size, output_size=None,
                           output_ratio=None, return_indices=False,
                           _random_samples=None):
    # type: (Tensor, BroadcastingList3[int], Optional[BroadcastingList3[int]], Optional[BroadcastingList3[float]], bool, Optional[Tensor]) -> Tensor  # noqa
    return fractional_max_pool3d_with_indices(input, kernel_size, output_size,
                                              output_ratio, return_indices,
                                              _random_samples)[0]

fractional_max_pool3d = boolean_dispatch(
    arg_name='return_indices',
    arg_index=4,
    default=False,
    if_true=fractional_max_pool3d_with_indices,
    if_false=_fractional_max_pool3d,
    module_name=__name__,
    func_name='fractional_max_pool3d')


def max_pool1d_with_indices(input, kernel_size, stride=None, padding=0,
                            dilation=1, ceil_mode=False, return_indices=False):
    # type: (Tensor, BroadcastingList1[int], Optional[BroadcastingList1[int]], BroadcastingList1[int], BroadcastingList1[int], bool, bool) -> Tuple[Tensor, Tensor]  # noqa
    r"""Applies a 1D max pooling over an input signal composed of several input
    planes.

    See :class:`~torch.nn.MaxPool1d` for details.
    """
    if stride is None:
        stride = torch.jit.annotate(List[int], [])
    return torch.max_pool1d_with_indices(
        input, kernel_size, stride, padding, dilation, ceil_mode)


def _max_pool1d(input, kernel_size, stride=None, padding=0, dilation=1,
                ceil_mode=False, return_indices=False):
    # type: (Tensor, BroadcastingList1[int], Optional[BroadcastingList1[int]], BroadcastingList1[int], BroadcastingList1[int], bool, bool) -> Tensor  # noqa
    if stride is None:
        stride = torch.jit.annotate(List[int], [])
    return torch.max_pool1d(
        input, kernel_size, stride, padding, dilation, ceil_mode)

max_pool1d = boolean_dispatch(
    arg_name='return_indices',
    arg_index=6,
    default=False,
    if_true=max_pool1d_with_indices,
    if_false=_max_pool1d,
    module_name=__name__,
    func_name='max_pool1d')


def max_pool2d_with_indices(input, kernel_size, stride=None, padding=0, dilation=1,
                            ceil_mode=False, return_indices=False):
    # type: (Tensor, BroadcastingList2[int], Optional[BroadcastingList2[int]], BroadcastingList2[int], BroadcastingList2[int], bool, bool) -> Tuple[Tensor, Tensor]  # noqa
    r"""Applies a 2D max pooling over an input signal composed of several input
    planes.

    See :class:`~torch.nn.MaxPool2d` for details.
    """
    if stride is None:
        stride = torch.jit.annotate(List[int], [])
    return torch._C._nn.max_pool2d_with_indices(input, kernel_size, stride, padding, dilation, ceil_mode)


def _max_pool2d(input, kernel_size, stride=None, padding=0, dilation=1,
                ceil_mode=False, return_indices=False):
    # type: (Tensor, BroadcastingList2[int], Optional[BroadcastingList2[int]], BroadcastingList2[int], BroadcastingList2[int], bool, bool) -> Tensor  # noqa
    if stride is None:
        stride = torch.jit.annotate(List[int], [])
    return torch.max_pool2d(
        input, kernel_size, stride, padding, dilation, ceil_mode)

max_pool2d = boolean_dispatch(
    arg_name='return_indices',
    arg_index=6,
    default=False,
    if_true=max_pool2d_with_indices,
    if_false=_max_pool2d,
    module_name=__name__,
    func_name='max_pool2d')


def max_pool3d_with_indices(input, kernel_size, stride=None, padding=0,
                            dilation=1, ceil_mode=False, return_indices=False):
    # type: (Tensor, BroadcastingList3[int], Optional[BroadcastingList3[int]], BroadcastingList3[int], BroadcastingList3[int], bool, bool) -> Tuple[Tensor, Tensor]  # noqa
    r"""Applies a 3D max pooling over an input signal composed of several input
    planes.

    See :class:`~torch.nn.MaxPool3d` for details.
    """
    if stride is None:
        stride = torch.jit.annotate(List[int], [])
    return torch._C._nn.max_pool3d_with_indices(
        input, kernel_size, stride, padding, dilation, ceil_mode)


def _max_pool3d(input, kernel_size, stride=None, padding=0, dilation=1,
                ceil_mode=False, return_indices=False):
    # type: (Tensor, BroadcastingList3[int], Optional[BroadcastingList3[int]], BroadcastingList3[int], BroadcastingList3[int], bool, bool) -> Tensor  # noqa
    if stride is None:
        stride = torch.jit.annotate(List[int], [])
    return torch.max_pool3d(
        input, kernel_size, stride, padding, dilation, ceil_mode)

max_pool3d = boolean_dispatch(
    arg_name='return_indices',
    arg_index=6,
    default=False,
    if_true=max_pool3d_with_indices,
    if_false=_max_pool3d,
    module_name=__name__,
    func_name='max_pool3d')


def _unpool_output_size(input, kernel_size, stride, padding, output_size):
    # type: (Tensor, List[int], List[int], List[int], Optional[List[int]]) -> List[int]
    input_size = input.size()
    default_size = torch.jit.annotate(List[int], [])
    for d in range(len(kernel_size)):
        default_size.append((input_size[d + 2] - 1) * stride[d] +
                            kernel_size[d] - 2 * padding[d])
    if output_size is None:
        ret = default_size
    else:
        if len(output_size) == len(kernel_size) + 2:
            output_size = output_size[2:]
        if len(output_size) != len(kernel_size):
            raise ValueError("output_size should be a sequence containing "
                             "{} or {} elements, but it has a length of '{}'"
                             .format(len(kernel_size), len(kernel_size) + 2,
                                     len(output_size)))
        for d in range(len(kernel_size)):
            min_size = default_size[d] - stride[d]
            max_size = default_size[d] + stride[d]
            if not (min_size < output_size[d] < max_size):
                raise ValueError(
                    'invalid output_size "{}" (dim {} must be between {} and {})'
                    .format(output_size, d, min_size, max_size))

        ret = output_size
    return ret


[docs]def max_unpool1d(input, indices, kernel_size, stride=None, padding=0, output_size=None): # type: (Tensor, Tensor, BroadcastingList1[int], Optional[BroadcastingList1[int]], BroadcastingList1[int], Optional[BroadcastingList1[int]]) -> Tensor # noqa r"""Computes a partial inverse of :class:`MaxPool1d`. See :class:`~torch.nn.MaxUnpool1d` for details. """ kernel_size = _single(kernel_size) if stride is not None: _stride = _single(stride) else: _stride = kernel_size padding = _single(padding) output_size = _unpool_output_size(input, kernel_size, _stride, padding, output_size) if isinstance(output_size, list): output_size = output_size + [1] else: output_size = output_size + (1,) return torch._C._nn.max_unpool2d(input.unsqueeze(3), indices.unsqueeze(3), output_size).squeeze(3)
[docs]def max_unpool2d(input, indices, kernel_size, stride=None, padding=0, output_size=None): # type: (Tensor, Tensor, BroadcastingList2[int], Optional[BroadcastingList2[int]], BroadcastingList2[int], Optional[BroadcastingList2[int]]) -> Tensor # noqa r"""Computes a partial inverse of :class:`MaxPool2d`. See :class:`~torch.nn.MaxUnpool2d` for details. """ kernel_size = _pair(kernel_size) if stride is not None: _stride = _pair(stride) else: _stride = kernel_size padding = _pair(padding) output_size = _unpool_output_size(input, kernel_size, _stride, padding, output_size) return torch._C._nn.max_unpool2d(input, indices, output_size)
[docs]def max_unpool3d(input, indices, kernel_size, stride=None, padding=0, output_size=None): # type: (Tensor, Tensor, BroadcastingList3[int], Optional[BroadcastingList3[int]], BroadcastingList3[int], Optional[BroadcastingList3[int]]) -> Tensor # noqa r"""Computes a partial inverse of :class:`MaxPool3d`. See :class:`~torch.nn.MaxUnpool3d` for details. """ kernel_size = _triple(kernel_size) if stride is not None: _stride = _triple(stride) else: _stride = kernel_size padding = _triple(padding) output_size = _unpool_output_size(input, kernel_size, _stride, padding, output_size) return torch._C._nn.max_unpool3d( input, indices, output_size, _stride, padding)
[docs]def lp_pool2d(input, norm_type, kernel_size, stride=None, ceil_mode=False): # type: (Tensor, float, int, Optional[BroadcastingList2[int]], bool) -> Tensor r"""Applies a 2D power-average pooling over an input signal composed of several input planes. If the sum of all inputs to the power of `p` is zero, the gradient is set to zero as well. See :class:`~torch.nn.LPPool2d` for details. """ kw, kh = utils._pair(kernel_size) if stride is not None: out = avg_pool2d(input.pow(norm_type), kernel_size, stride, 0, ceil_mode) else: out = avg_pool2d(input.pow(norm_type), kernel_size, padding=0, ceil_mode=ceil_mode) return (torch.sign(out) * relu(torch.abs(out))).mul(kw * kh).pow(1. / norm_type)
[docs]def lp_pool1d(input, norm_type, kernel_size, stride=None, ceil_mode=False): # type: (Tensor, float, int, Optional[BroadcastingList1[int]], bool) -> Tensor r"""Applies a 1D power-average pooling over an input signal composed of several input planes. If the sum of all inputs to the power of `p` is zero, the gradient is set to zero as well. See :class:`~torch.nn.LPPool1d` for details. """ if stride is not None: out = avg_pool1d(input.pow(norm_type), kernel_size, stride, 0, ceil_mode) else: out = avg_pool1d(input.pow(norm_type), kernel_size, padding=0, ceil_mode=ceil_mode) return (torch.sign(out) * relu(torch.abs(out))).mul(kernel_size).pow(1. / norm_type)
def adaptive_max_pool1d_with_indices(input, output_size, return_indices=False): # type: (Tensor, BroadcastingList1[int], bool) -> Tuple[Tensor, Tensor] r"""Applies a 1D adaptive max pooling over an input signal composed of several input planes. See :class:`~torch.nn.AdaptiveMaxPool1d` for details and output shape. Args: output_size: the target output size (single integer) return_indices: whether to return pooling indices. Default: ``False`` """ return torch.adaptive_max_pool1d(input, output_size) def _adaptive_max_pool1d(input, output_size, return_indices=False): # type: (Tensor, BroadcastingList1[int], bool) -> Tensor return adaptive_max_pool1d_with_indices(input, output_size)[0] adaptive_max_pool1d = boolean_dispatch( arg_name='return_indices', arg_index=2, default=False, if_true=adaptive_max_pool1d_with_indices, if_false=_adaptive_max_pool1d, module_name=__name__, func_name='adaptive_max_pool1d') def adaptive_max_pool2d_with_indices(input, output_size, return_indices=False): # type: (Tensor, BroadcastingList2[int], bool) -> Tuple[Tensor, Tensor] r"""Applies a 2D adaptive max pooling over an input signal composed of several input planes. See :class:`~torch.nn.AdaptiveMaxPool2d` for details and output shape. Args: output_size: the target output size (single integer or double-integer tuple) return_indices: whether to return pooling indices. Default: ``False`` """ output_size = _list_with_default(output_size, input.size()) return torch._C._nn.adaptive_max_pool2d(input, output_size) def _adaptive_max_pool2d(input, output_size, return_indices=False): # type: (Tensor, BroadcastingList2[int], bool) -> Tensor return adaptive_max_pool2d_with_indices(input, output_size)[0] adaptive_max_pool2d = boolean_dispatch( arg_name='return_indices', arg_index=2, default=False, if_true=adaptive_max_pool2d_with_indices, if_false=_adaptive_max_pool2d, module_name=__name__, func_name='adaptive_max_pool2d') def adaptive_max_pool3d_with_indices(input, output_size, return_indices=False): # type: (Tensor, BroadcastingList3[int], bool) -> Tuple[Tensor, Tensor] r"""Applies a 3D adaptive max pooling over an input signal composed of several input planes. See :class:`~torch.nn.AdaptiveMaxPool3d` for details and output shape. Args: output_size: the target output size (single integer or triple-integer tuple) return_indices: whether to return pooling indices. Default: ``False`` """ output_size = _list_with_default(output_size, input.size()) return torch._C._nn.adaptive_max_pool3d(input, output_size) def _adaptive_max_pool3d(input, output_size, return_indices=False): # type: (Tensor, BroadcastingList3[int], bool) -> Tensor return adaptive_max_pool3d_with_indices(input, output_size)[0] adaptive_max_pool3d = boolean_dispatch( arg_name='return_indices', arg_index=2, default=False, if_true=adaptive_max_pool3d_with_indices, if_false=_adaptive_max_pool3d, module_name=__name__, func_name='adaptive_max_pool3d') adaptive_avg_pool1d = _add_docstr(torch.adaptive_avg_pool1d, r""" adaptive_avg_pool1d(input, output_size) -> Tensor Applies a 1D adaptive average pooling over an input signal composed of several input planes. See :class:`~torch.nn.AdaptiveAvgPool1d` for details and output shape. Args: output_size: the target output size (single integer) """)
[docs]def adaptive_avg_pool2d(input, output_size): # type: (Tensor, BroadcastingList2[int]) -> Tensor r""" Applies a 2D adaptive average pooling over an input signal composed of several input planes. See :class:`~torch.nn.AdaptiveAvgPool2d` for details and output shape. Args: output_size: the target output size (single integer or double-integer tuple) """ _output_size = _list_with_default(output_size, input.size()) return torch._C._nn.adaptive_avg_pool2d(input, _output_size)
[docs]def adaptive_avg_pool3d(input, output_size): # type: (Tensor, BroadcastingList3[int]) -> Tensor r""" Applies a 3D adaptive average pooling over an input signal composed of several input planes. See :class:`~torch.nn.AdaptiveAvgPool3d` for details and output shape. Args: output_size: the target output size (single integer or triple-integer tuple) """ _output_size = _list_with_default(output_size, input.size()) return torch._C._nn.adaptive_avg_pool3d(input, _output_size)
# Activation functions
[docs]def dropout(input, p=0.5, training=True, inplace=False): # type: (Tensor, float, bool, bool) -> Tensor r""" During training, randomly zeroes some of the elements of the input tensor with probability :attr:`p` using samples from a Bernoulli distribution. See :class:`~torch.nn.Dropout` for details. Args: p: probability of an element to be zeroed. Default: 0.5 training: apply dropout if is ``True``. Default: ``True`` inplace: If set to ``True``, will do this operation in-place. Default: ``False`` """ if p < 0. or p > 1.: raise ValueError("dropout probability has to be between 0 and 1, " "but got {}".format(p)) return (_VF.dropout_(input, p, training) if inplace else _VF.dropout(input, p, training))
[docs]def alpha_dropout(input, p=0.5, training=False, inplace=False): # type: (Tensor, float, bool, bool) -> Tensor r"""Applies alpha dropout to the input. See :class:`~torch.nn.AlphaDropout` for details. """ if p < 0. or p > 1.: raise ValueError("dropout probability has to be between 0 and 1, " "but got {}".format(p)) return (_VF.alpha_dropout_(input, p, training) if inplace else _VF.alpha_dropout(input, p, training))
[docs]def dropout2d(input, p=0.5, training=True, inplace=False): # type: (Tensor, float, bool, bool) -> Tensor r""" Randomly zero out entire channels (a channel is a 2D feature map, e.g., the :math:`j`-th channel of the :math:`i`-th sample in the batched input is a 2D tensor :math:`\text{input}[i, j]`) of the input tensor). Each channel will be zeroed out independently on every forward call with probability :attr:`p` using samples from a Bernoulli distribution. See :class:`~torch.nn.Dropout2d` for details. Args: p: probability of a channel to be zeroed. Default: 0.5 training: apply dropout if is ``True``. Default: ``True`` inplace: If set to ``True``, will do this operation in-place. Default: ``False`` """ if p < 0. or p > 1.: raise ValueError("dropout probability has to be between 0 and 1, " "but got {}".format(p)) return (_VF.feature_dropout_(input, p, training) if inplace else _VF.feature_dropout(input, p, training))
[docs]def dropout3d(input, p=0.5, training=True, inplace=False): # type: (Tensor, float, bool, bool) -> Tensor r""" Randomly zero out entire channels (a channel is a 3D feature map, e.g., the :math:`j`-th channel of the :math:`i`-th sample in the batched input is a 3D tensor :math:`\text{input}[i, j]`) of the input tensor). Each channel will be zeroed out independently on every forward call with probability :attr:`p` using samples from a Bernoulli distribution. See :class:`~torch.nn.Dropout3d` for details. Args: p: probability of a channel to be zeroed. Default: 0.5 training: apply dropout if is ``True``. Default: ``True`` inplace: If set to ``True``, will do this operation in-place. Default: ``False`` """ # This is 100% the same code as dropout2d. We duplicate this code so that # stack traces are not confusing. if p < 0. or p > 1.: raise ValueError("dropout probability has to be between 0 and 1, " "but got {}".format(p)) return (_VF.feature_dropout_(input, p, training) if inplace else _VF.feature_dropout(input, p, training))
def feature_alpha_dropout(input, p=0.5, training=False, inplace=False): # type: (Tensor, float, bool, bool) -> Tensor if p < 0. or p > 1.: raise ValueError("dropout probability has to be between 0 and 1, " "but got {}".format(p)) return (_VF.feature_alpha_dropout_(input, p, training) if inplace else _VF.feature_alpha_dropout(input, p, training))
[docs]def threshold(input, threshold, value, inplace=False): # type: (Tensor, float, float, bool) -> Tensor r"""Thresholds each element of the input Tensor. See :class:`~torch.nn.Threshold` for more details. """ if inplace: result = _VF.threshold_(input, threshold, value) else: result = _VF.threshold(input, threshold, value) return result
threshold_ = _add_docstr(_VF.threshold_, r""" threshold_(input, threshold, value) -> Tensor In-place version of :func:`~threshold`. """)
[docs]def relu(input, inplace=False): # type: (Tensor, bool) -> Tensor r"""relu(input, inplace=False) -> Tensor Applies the rectified linear unit function element-wise. See :class:`~torch.nn.ReLU` for more details. """ if inplace: result = torch.relu_(input) else: result = torch.relu(input) return result
relu_ = _add_docstr(torch.relu_, r""" relu_(input) -> Tensor In-place version of :func:`~relu`. """)
[docs]def glu(input, dim=-1): # type: (Tensor, int) -> Tensor r""" glu(input, dim=-1) -> Tensor The gated linear unit. Computes: .. math :: \text{GLU}(a, b) = a \otimes \sigma(b) where `input` is split in half along `dim` to form `a` and `b`, :math:`\sigma` is the sigmoid function and :math:`\otimes` is the element-wise product between matrices. See `Language Modeling with Gated Convolutional Networks <https://arxiv.org/abs/1612.08083>`_. Args: input (Tensor): input tensor dim (int): dimension on which to split the input. Default: -1 """ if input.dim() == 0: raise RuntimeError("glu does not suppport scalars because halving size must be even") return torch._C._nn.glu(input, dim)
[docs]def hardtanh(input, min_val=-1., max_val=1., inplace=False): # type: (Tensor, float, float, bool) -> Tensor r""" hardtanh(input, min_val=-1., max_val=1., inplace=False) -> Tensor Applies the HardTanh function element-wise. See :class:`~torch.nn.Hardtanh` for more details. """ if inplace: result = torch._C._nn.hardtanh_(input, min_val, max_val) else: result = torch._C._nn.hardtanh(input, min_val, max_val) return result
hardtanh_ = _add_docstr(torch._C._nn.hardtanh_, r""" hardtanh_(input, min_val=-1., max_val=1.) -> Tensor In-place version of :func:`~hardtanh`. """)
[docs]def relu6(input, inplace=False): # type: (Tensor, bool) -> Tensor r"""relu6(input, inplace=False) -> Tensor Applies the element-wise function :math:`\text{ReLU6}(x) = \min(\max(0,x), 6)`. See :class:`~torch.nn.ReLU6` for more details. """ return hardtanh(input, 0., 6., inplace)
[docs]def elu(input, alpha=1., inplace=False): # type: (Tensor, float, bool) -> Tensor r"""Applies element-wise, :math:`\text{ELU}(x) = \max(0,x) + \min(0, \alpha * (\exp(x) - 1))`. See :class:`~torch.nn.ELU` for more details. """ if inplace: result = torch._C._nn.elu_(input, alpha) else: result = torch._C._nn.elu(input, alpha) return result
elu_ = _add_docstr(torch._C._nn.elu_, r""" elu_(input, alpha=1.) -> Tensor In-place version of :func:`~elu`. """)
[docs]def selu(input, inplace=False): # type: (Tensor, bool) -> Tensor r"""selu(input, inplace=False) -> Tensor Applies element-wise, :math:`\text{SELU}(x) = scale * (\max(0,x) + \min(0, \alpha * (\exp(x) - 1)))`, with :math:`\alpha=1.6732632423543772848170429916717` and :math:`scale=1.0507009873554804934193349852946`. See :class:`~torch.nn.SELU` for more details. """ if inplace: result = torch.selu_(input) else: result = torch.selu(input) return result
selu_ = _add_docstr(torch.selu_, r""" selu_(input) -> Tensor In-place version of :func:`~selu`. """)
[docs]def celu(input, alpha=1., inplace=False): # type: (Tensor, float, bool) -> Tensor r"""celu(input, alpha=1., inplace=False) -> Tensor Applies element-wise, :math:`\text{CELU}(x) = \max(0,x) + \min(0, \alpha * (\exp(x/\alpha) - 1))`. See :class:`~torch.nn.CELU` for more details. """ if inplace: result = torch.celu_(input, alpha) else: result = torch.celu(input, alpha) return result
celu_ = _add_docstr(torch.celu_, r""" celu_(input, alpha=1.) -> Tensor In-place version of :func:`~celu`. """)
[docs]def leaky_relu(input, negative_slope=0.01, inplace=False): # type: (Tensor, float, bool) -> Tensor r""" leaky_relu(input, negative_slope=0.01, inplace=False) -> Tensor Applies element-wise, :math:`\text{LeakyReLU}(x) = \max(0, x) + \text{negative\_slope} * \min(0, x)` See :class:`~torch.nn.LeakyReLU` for more details. """ if inplace: result = torch._C._nn.leaky_relu_(input, negative_slope) else: result = torch._C._nn.leaky_relu(input, negative_slope) return result
leaky_relu_ = _add_docstr(torch._C._nn.leaky_relu_, r""" leaky_relu_(input, negative_slope=0.01) -> Tensor In-place version of :func:`~leaky_relu`. """)
[docs]def prelu(input, weight): # type: (Tensor, Tensor) -> Tensor r"""prelu(input, weight) -> Tensor Applies element-wise the function :math:`\text{PReLU}(x) = \max(0,x) + \text{weight} * \min(0,x)` where weight is a learnable parameter. See :class:`~torch.nn.PReLU` for more details. """ return torch.prelu(input, weight)
[docs]def rrelu(input, lower=1. / 8, upper=1. / 3, training=False, inplace=False): # type: (Tensor, float, float, bool, bool) -> Tensor r"""rrelu(input, lower=1./8, upper=1./3, training=False, inplace=False) -> Tensor Randomized leaky ReLU. See :class:`~torch.nn.RReLU` for more details. """ if inplace: result = torch.rrelu_(input, lower, upper, training) else: result = torch.rrelu(input, lower, upper, training) return result
rrelu_ = _add_docstr(torch.rrelu_, r""" rrelu_(input, lower=1./8, upper=1./3, training=False) -> Tensor In-place version of :func:`~rrelu`. """) logsigmoid = _add_docstr(torch._C._nn.log_sigmoid, r""" logsigmoid(input) -> Tensor Applies element-wise :math:`\text{LogSigmoid}(x_i) = \log \left(\frac{1}{1 + \exp(-x_i)}\right)` See :class:`~torch.nn.LogSigmoid` for more details. """)
[docs]def gelu(input): r"""gelu(input) -> Tensor Applies element-wise the function :math:`\text{GELU}(x) = x * \Phi(x)` where :math:`\Phi(x)` is the Cumulative Distribution Function for Gaussian Distribution. See `Gaussian Error Linear Units (GELUs) <https://arxiv.org/abs/1606.08415>`_. """ return torch._C._nn.gelu(input)
[docs]def hardshrink(input, lambd=0.5): # type: (Tensor, float) -> Tensor r""" hardshrink(input, lambd=0.5) -> Tensor Applies the hard shrinkage function element-wise See :class:`~torch.nn.Hardshrink` for more details. """ return torch.hardshrink(input, lambd)
[docs]def tanhshrink(input): r"""tanhshrink(input) -> Tensor Applies element-wise, :math:`\text{Tanhshrink}(x) = x - \text{Tanh}(x)` See :class:`~torch.nn.Tanhshrink` for more details. """ return input - input.tanh()
[docs]def softsign(input): r"""softsign(input) -> Tensor Applies element-wise, the function :math:`\text{SoftSign}(x) = \frac{x}{1 + |x|}` See :class:`~torch.nn.Softsign` for more details. """ return input / (input.abs() + 1)
softplus = _add_docstr(torch._C._nn.softplus, r""" softplus(input, beta=1, threshold=20) -> Tensor Applies element-wise, the function :math:`\text{Softplus}(x) = \frac{1}{\beta} * \log(1 + \exp(\beta * x))`. For numerical stability the implementation reverts to the linear function for inputs above :attr:`threshold` (default ``20``). See :class:`~torch.nn.Softplus` for more details. """) def _get_softmax_dim(name, ndim, stacklevel): # type: (str, int, int) -> int warnings.warn("Implicit dimension choice for {} has been deprecated. " "Change the call to include dim=X as an argument.".format(name), stacklevel=stacklevel) if ndim == 0 or ndim == 1 or ndim == 3: ret = 0 else: ret = 1 return ret
[docs]def softmin(input, dim=None, _stacklevel=3, dtype=None): # type: (Tensor, Optional[int], int, Optional[int]) -> Tensor r"""Applies a softmin function. Note that :math:`\text{Softmin}(x) = \text{Softmax}(-x)`. See softmax definition for mathematical formula. See :class:`~torch.nn.Softmin` for more details. Arguments: input (Tensor): input dim (int): A dimension along which softmin will be computed (so every slice along dim will sum to 1). dtype (:class:`torch.dtype`, optional): the desired data type of returned tensor. If specified, the input tensor is casted to :attr:`dtype` before the operation is performed. This is useful for preventing data type overflows. Default: None. """ if dim is None: dim = _get_softmax_dim('softmin', input.dim(), _stacklevel) if dtype is None: ret = (-input).softmax(dim) else: ret = (-input).softmax(dim, dtype=dtype) return ret
[docs]def softmax(input, dim=None, _stacklevel=3, dtype=None): # type: (Tensor, Optional[int], int, Optional[int]) -> Tensor r"""Applies a softmax function. Softmax is defined as: :math:`\text{Softmax}(x_{i}) = \frac{exp(x_i)}{\sum_j exp(x_j)}` It is applied to all slices along dim, and will re-scale them so that the elements lie in the range `[0, 1]` and sum to 1. See :class:`~torch.nn.Softmax` for more details. Arguments: input (Tensor): input dim (int): A dimension along which softmax will be computed. dtype (:class:`torch.dtype`, optional): the desired data type of returned tensor. If specified, the input tensor is casted to :attr:`dtype` before the operation is performed. This is useful for preventing data type overflows. Default: None. .. note:: This function doesn't work directly with NLLLoss, which expects the Log to be computed between the Softmax and itself. Use log_softmax instead (it's faster and has better numerical properties). """ if dim is None: dim = _get_softmax_dim('softmax', input.dim(), _stacklevel) if dtype is None: ret = input.softmax(dim) else: ret = input.softmax(dim, dtype=dtype) return ret
[docs]def gumbel_softmax(logits, tau=1, hard=False, eps=1e-10, dim=-1): # type: (Tensor, float, bool, float, int) -> Tensor r""" Samples from the Gumbel-Softmax distribution (`Link 1`_ `Link 2`_) and optionally discretizes. Args: logits: `[..., num_features]` unnormalized log probabilities tau: non-negative scalar temperature hard: if ``True``, the returned samples will be discretized as one-hot vectors, but will be differentiated as if it is the soft sample in autograd dim (int): A dimension along which softmax will be computed. Default: -1. Returns: Sampled tensor of same shape as `logits` from the Gumbel-Softmax distribution. If ``hard=True``, the returned samples will be one-hot, otherwise they will be probability distributions that sum to 1 across `dim`. .. note:: This function is here for legacy reasons, may be removed from nn.Functional in the future. .. note:: The main trick for `hard` is to do `y_hard - y_soft.detach() + y_soft` It achieves two things: - makes the output value exactly one-hot (since we add then subtract y_soft value) - makes the gradient equal to y_soft gradient (since we strip all other gradients) Examples:: >>> logits = torch.randn(20, 32) >>> # Sample soft categorical using reparametrization trick: >>> F.gumbel_softmax(logits, tau=1, hard=False) >>> # Sample hard categorical using "Straight-through" trick: >>> F.gumbel_softmax(logits, tau=1, hard=True) .. _Link 1: https://arxiv.org/abs/1611.00712 .. _Link 2: https://arxiv.org/abs/1611.01144 """ if eps != 1e-10: warnings.warn("`eps` parameter is deprecated and has no effect.") gumbels = -torch.empty_like(logits, memory_format=torch.legacy_contiguous_format).exponential_().log() # ~Gumbel(0,1) gumbels = (logits + gumbels) / tau # ~Gumbel(logits,tau) y_soft = gumbels.softmax(dim) if hard: # Straight through. index = y_soft.max(dim, keepdim=True)[1] y_hard = torch.zeros_like(logits, memory_format=torch.legacy_contiguous_format).scatter_(dim, index, 1.0) ret = y_hard - y_soft.detach() + y_soft else: # Reparametrization trick. ret = y_soft return ret
[docs]def log_softmax(input, dim=None, _stacklevel=3, dtype=None): # type: (Tensor, Optional[int], int, Optional[int]) -> Tensor r"""Applies a softmax followed by a logarithm. While mathematically equivalent to log(softmax(x)), doing these two operations separately is slower, and numerically unstable. This function uses an alternative formulation to compute the output and gradient correctly. See :class:`~torch.nn.LogSoftmax` for more details. Arguments: input (Tensor): input dim (int): A dimension along which log_softmax will be computed. dtype (:class:`torch.dtype`, optional): the desired data type of returned tensor. If specified, the input tensor is casted to :attr:`dtype` before the operation is performed. This is useful for preventing data type overflows. Default: None. """ if dim is None: dim = _get_softmax_dim('log_softmax', input.dim(), _stacklevel) if dtype is None: ret = input.log_softmax(dim) else: ret = input.log_softmax(dim, dtype=dtype) return ret
softshrink = _add_docstr(torch._C._nn.softshrink, r""" softshrink(input, lambd=0.5) -> Tensor Applies the soft shrinkage function elementwise See :class:`~torch.nn.Softshrink` for more details. """)
[docs]def tanh(input): r"""tanh(input) -> Tensor Applies element-wise, :math:`\text{Tanh}(x) = \tanh(x) = \frac{\exp(x) - \exp(-x)}{\exp(x) + \exp(-x)}` See :class:`~torch.nn.Tanh` for more details. """ warnings.warn("nn.functional.tanh is deprecated. Use torch.tanh instead.") return input.tanh()
[docs]def sigmoid(input): r"""sigmoid(input) -> Tensor Applies the element-wise function :math:`\text{Sigmoid}(x) = \frac{1}{1 + \exp(-x)}` See :class:`~torch.nn.Sigmoid` for more details. """ warnings.warn("nn.functional.sigmoid is deprecated. Use torch.sigmoid instead.") return input.sigmoid()
[docs]def linear(input, weight, bias=None): # type: (Tensor, Tensor, Optional[Tensor]) -> Tensor r""" Applies a linear transformation to the incoming data: :math:`y = xA^T + b`. Shape: - Input: :math:`(N, *, in\_features)` where `*` means any number of additional dimensions - Weight: :math:`(out\_features, in\_features)` - Bias: :math:`(out\_features)` - Output: :math:`(N, *, out\_features)` """ if input.dim() == 2 and bias is not None: # fused op is marginally faster ret = torch.addmm(bias, input, weight.t()) else: output = input.matmul(weight.t()) if bias is not None: output += bias ret = output return ret
[docs]def bilinear(input1, input2, weight, bias=None): # type: (Tensor, Tensor, Tensor, Optional[Tensor]) -> Tensor r""" Applies a bilinear transformation to the incoming data: :math:`y = x_1 A x_2 + b` Shape: - input1: :math:`(N, *, H_{in1})` where :math:`H_{in1}=\text{in1\_features}` and :math:`*` means any number of additional dimensions. All but the last dimension of the inputs should be the same. - input2: :math:`(N, *, H_{in2})` where :math:`H_{in2}=\text{in2\_features}` - weight: :math:`(\text{out\_features}, \text{in1\_features}, \text{in2\_features})` - bias: :math:`(\text{out\_features})` - output: :math:`(N, *, H_{out})` where :math:`H_{out}=\text{out\_features}` and all but the last dimension are the same shape as the input. """ return torch.bilinear(input1, input2, weight, bias)
def _no_grad_embedding_renorm_(weight, input, max_norm, norm_type): # type: (Tensor, Tensor, float, float) -> Tensor with torch.no_grad(): torch.embedding_renorm_(weight, input, max_norm, norm_type)
[docs]def embedding(input, weight, padding_idx=None, max_norm=None, norm_type=2., scale_grad_by_freq=False, sparse=False): # type: (Tensor, Tensor, Optional[int], Optional[float], float, bool, bool) -> Tensor r"""A simple lookup table that looks up embeddings in a fixed dictionary and size. This module is often used to retrieve word embeddings using indices. The input to the module is a list of indices, and the embedding matrix, and the output is the corresponding word embeddings. See :class:`torch.nn.Embedding` for more details. Args: input (LongTensor): Tensor containing indices into the embedding matrix weight (Tensor): The embedding matrix with number of rows equal to the maximum possible index + 1, and number of columns equal to the embedding size padding_idx (int, optional): If given, pads the output with the embedding vector at :attr:`padding_idx` (initialized to zeros) whenever it encounters the index. max_norm (float, optional): If given, each embedding vector with norm larger than :attr:`max_norm` is renormalized to have norm :attr:`max_norm`. Note: this will modify :attr:`weight` in-place. norm_type (float, optional): The p of the p-norm to compute for the :attr:`max_norm` option. Default ``2``. scale_grad_by_freq (boolean, optional): If given, this will scale gradients by the inverse of frequency of the words in the mini-batch. Default ``False``. sparse (bool, optional): If ``True``, gradient w.r.t. :attr:`weight` will be a sparse tensor. See Notes under :class:`torch.nn.Embedding` for more details regarding sparse gradients. Shape: - Input: LongTensor of arbitrary shape containing the indices to extract - Weight: Embedding matrix of floating point type with shape `(V, embedding_dim)`, where V = maximum index + 1 and embedding_dim = the embedding size - Output: `(*, embedding_dim)`, where `*` is the input shape Examples:: >>> # a batch of 2 samples of 4 indices each >>> input = torch.tensor([[1,2,4,5],[4,3,2,9]]) >>> # an embedding matrix containing 10 tensors of size 3 >>> embedding_matrix = torch.rand(10, 3) >>> F.embedding(input, embedding_matrix) tensor([[[ 0.8490, 0.9625, 0.6753], [ 0.9666, 0.7761, 0.6108], [ 0.6246, 0.9751, 0.3618], [ 0.4161, 0.2419, 0.7383]], [[ 0.6246, 0.9751, 0.3618], [ 0.0237, 0.7794, 0.0528], [ 0.9666, 0.7761, 0.6108], [ 0.3385, 0.8612, 0.1867]]]) >>> # example with padding_idx >>> weights = torch.rand(10, 3) >>> weights[0, :].zero_() >>> embedding_matrix = weights >>> input = torch.tensor([[0,2,0,5]]) >>> F.embedding(input, embedding_matrix, padding_idx=0) tensor([[[ 0.0000, 0.0000, 0.0000], [ 0.5609, 0.5384, 0.8720], [ 0.0000, 0.0000, 0.0000], [ 0.6262, 0.2438, 0.7471]]]) """ if padding_idx is not None: if padding_idx > 0: assert padding_idx < weight.size(0), 'Padding_idx must be within num_embeddings' elif padding_idx < 0: assert padding_idx >= -weight.size(0), 'Padding_idx must be within num_embeddings' padding_idx = weight.size(0) + padding_idx else: padding_idx = -1 if max_norm is not None: # `embedding_renorm_` will call .contiguous() on input anyways, so we # call it here and take advantage of the improved locality in the # `embedding` call below too. input = input.contiguous() # XXX: equivalent to # with torch.no_grad(): # torch.nembedding_renorm_ # remove once script supports set_grad_enabled _no_grad_embedding_renorm_(weight, input, max_norm, norm_type) return torch.embedding(weight, input, padding_idx, scale_grad_by_freq, sparse)
[docs]def embedding_bag(input, weight, offsets=None, max_norm=None, norm_type=2, scale_grad_by_freq=False, mode='mean', sparse=False, per_sample_weights=None): # type: (Tensor, Tensor, Optional[Tensor], Optional[float], float, bool, str, bool, Optional[Tensor]) -> Tensor r"""Computes sums, means or maxes of `bags` of embeddings, without instantiating the intermediate embeddings. See :class:`torch.nn.EmbeddingBag` for more details. .. include:: cuda_deterministic_backward.rst Args: input (LongTensor): Tensor containing bags of indices into the embedding matrix weight (Tensor): The embedding matrix with number of rows equal to the maximum possible index + 1, and number of columns equal to the embedding size offsets (LongTensor, optional): Only used when :attr:`input` is 1D. :attr:`offsets` determines the starting index position of each bag (sequence) in :attr:`input`. max_norm (float, optional): If given, each embedding vector with norm larger than :attr:`max_norm` is renormalized to have norm :attr:`max_norm`. Note: this will modify :attr:`weight` in-place. norm_type (float, optional): The ``p`` in the ``p``-norm to compute for the :attr:`max_norm` option. Default ``2``. scale_grad_by_freq (boolean, optional): if given, this will scale gradients by the inverse of frequency of the words in the mini-batch. Default ``False``. Note: this option is not supported when ``mode="max"``. mode (string, optional): ``"sum"``, ``"mean"`` or ``"max"``. Specifies the way to reduce the bag. Default: ``"mean"`` sparse (bool, optional): if ``True``, gradient w.r.t. :attr:`weight` will be a sparse tensor. See Notes under :class:`torch.nn.Embedding` for more details regarding sparse gradients. Note: this option is not supported when ``mode="max"``. per_sample_weights (Tensor, optional): a tensor of float / double weights, or None to indicate all weights should be taken to be 1. If specified, :attr:`per_sample_weights` must have exactly the same shape as input and is treated as having the same :attr:`offsets`, if those are not None. Shape: - :attr:`input` (LongTensor) and :attr:`offsets` (LongTensor, optional) - If :attr:`input` is 2D of shape `(B, N)`, it will be treated as ``B`` bags (sequences) each of fixed length ``N``, and this will return ``B`` values aggregated in a way depending on the :attr:`mode`. :attr:`offsets` is ignored and required to be ``None`` in this case. - If :attr:`input` is 1D of shape `(N)`, it will be treated as a concatenation of multiple bags (sequences). :attr:`offsets` is required to be a 1D tensor containing the starting index positions of each bag in :attr:`input`. Therefore, for :attr:`offsets` of shape `(B)`, :attr:`input` will be viewed as having ``B`` bags. Empty bags (i.e., having 0-length) will have returned vectors filled by zeros. - :attr:`weight` (Tensor): the learnable weights of the module of shape `(num_embeddings, embedding_dim)` - :attr:`per_sample_weights` (Tensor, optional). Has the same shape as :attr:`input`. - :attr:`output`: aggregated embedding values of shape `(B, embedding_dim)` Examples:: >>> # an Embedding module containing 10 tensors of size 3 >>> embedding_matrix = torch.rand(10, 3) >>> # a batch of 2 samples of 4 indices each >>> input = torch.tensor([1,2,4,5,4,3,2,9]) >>> offsets = torch.tensor([0,4]) >>> F.embedding_bag(embedding_matrix, input, offsets) tensor([[ 0.3397, 0.3552, 0.5545], [ 0.5893, 0.4386, 0.5882]]) """ # Check for backward compatibility. # Used to be embedding_bag(weight, input, ...) # Now is embedding_bag(input, weight, ...) if weight.dtype == torch.long and input.is_floating_point(): warnings.warn("Argument order of nn.functional.embedding_bag was changed. " "Usage `embedding_bag(weight, input, ...)` is deprecated, " "and should now be `embedding_bag(input, weight, ...)`.") weight, input = input, weight if per_sample_weights is not None and input.size() != per_sample_weights.size(): raise ValueError("embedding_bag: If per_sample_weights ({}) is not None, " "then it must have the same shape as the input ({})" .format(per_sample_weights.shape, input.shape)) if input.dim() == 2: if offsets is not None: raise ValueError("if input is 2D, then offsets has to be None" ", as input is treated is a mini-batch of" " fixed length sequences. However, found " "offsets of type {}".format(type(offsets))) offsets = torch.arange(0, input.numel(), input.size(1), dtype=torch.long, device=input.device) input = input.reshape(-1) if per_sample_weights is not None: per_sample_weights = per_sample_weights.reshape(-1) elif input.dim() == 1: if offsets is None: raise ValueError("offsets has to be a 1D Tensor but got None") if offsets.dim() != 1: raise ValueError("offsets has to be a 1D Tensor") if int(offsets[0]) != 0: raise ValueError("offsets[0] has to be 0, i.e., the first sequence " "in the mini-batch has to start from position 0. " "However, got {}".format(offsets[0].item())) if int(offsets[-1]) > input.size(0): raise ValueError("offsets[-1] can not be greater than input's length" " ({}), but got offsets[-1] of {}" .format(input.size(0), offsets[-1].item())) else: raise ValueError("input has to be 1D or 2D Tensor," " but got Tensor of dimension {}".format(input.dim())) if mode == 'sum': mode_enum = 0 elif mode == 'mean': mode_enum = 1 elif mode == 'max': mode_enum = 2 if scale_grad_by_freq: raise ValueError("max mode does not support scaling the gradient by the frequency") if sparse: raise ValueError("max mode does not support sparse weights") else: raise ValueError("mode has to be one of sum, mean or max") if max_norm is not None: # XXX: equivalent to # with torch.no_grad(): # torch.nembedding_renorm_ # remove once script supports set_grad_enabled _no_grad_embedding_renorm_(weight, input, max_norm, norm_type) if per_sample_weights is not None and mode != 'sum': raise NotImplementedError("embedding_bag: per_sample_weights was not None. " "per_sample_weights is only supported for mode='sum' " "(got mode='{}'). Please open a feature request on GitHub." .format(mode)) ret, _, _, _ = torch.embedding_bag( weight, input, offsets, scale_grad_by_freq, mode_enum, sparse, per_sample_weights) return ret
[docs]def batch_norm(input, running_mean, running_var, weight=None, bias=None, training=False, momentum=0.1, eps=1e-5): # type: (Tensor, Optional[Tensor], Optional[Tensor], Optional[Tensor], Optional[Tensor], bool, float, float) -> Tensor # noqa r"""Applies Batch Normalization for each channel across a batch of data. See :class:`~torch.nn.BatchNorm1d`, :class:`~torch.nn.BatchNorm2d`, :class:`~torch.nn.BatchNorm3d` for details. """ if training: size = input.size() # XXX: JIT script does not support the reduce from functools, and mul op is a # builtin, which cannot be used as a value to a func yet, so rewrite this size # check to a simple equivalent for loop # # TODO: make use of reduce like below when JIT is ready with the missing features: # from operator import mul # from functools import reduce # # if reduce(mul, size[2:], size[0]) == 1 size_prods = size[0] for i in range(len(size) - 2): size_prods *= size[i + 2] if size_prods == 1: raise ValueError('Expected more than 1 value per channel when training, got input size {}'.format(size)) return torch.batch_norm( input, weight, bias, running_mean, running_var, training, momentum, eps, torch.backends.cudnn.enabled )
[docs]def instance_norm(input, running_mean=None, running_var=None, weight=None, bias=None, use_input_stats=True, momentum=0.1, eps=1e-5): # type: (Tensor, Optional[Tensor], Optional[Tensor], Optional[Tensor], Optional[Tensor], bool, float, float) -> Tensor # noqa r"""Applies Instance Normalization for each channel in each data sample in a batch. See :class:`~torch.nn.InstanceNorm1d`, :class:`~torch.nn.InstanceNorm2d`, :class:`~torch.nn.InstanceNorm3d` for details. """ return torch.instance_norm( input, weight, bias, running_mean, running_var, use_input_stats, momentum, eps, torch.backends.cudnn.enabled )
[docs]def layer_norm(input, normalized_shape, weight=None, bias=None, eps=1e-5): # type: (Tensor, List[int], Optional[Tensor], Optional[Tensor], float) -> Tensor r"""Applies Layer Normalization for last certain number of dimensions. See :class:`~torch.nn.LayerNorm` for details. """ return torch.layer_norm(input, normalized_shape, weight, bias, eps, torch.backends.cudnn.enabled)
def group_norm(input, num_groups, weight=None, bias=None, eps=1e-5): # type: (Tensor, int, Optional[Tensor], Optional[Tensor], float) -> Tensor r"""Applies Group Normalization for last certain number of dimensions. See :class:`~torch.nn.GroupNorm` for details. """ return torch.group_norm(input, num_groups, weight, bias, eps, torch.backends.cudnn.enabled)
[docs]def local_response_norm(input, size, alpha=1e-4, beta=0.75, k=1.): # type: (Tensor, int, float, float, float) -> Tensor r"""Applies local response normalization over an input signal composed of several input planes, where channels occupy the second dimension. Applies normalization across channels. See :class:`~torch.nn.LocalResponseNorm` for details. """ dim = input.dim() if dim < 3: raise ValueError('Expected 3D or higher dimensionality \ input (got {} dimensions)'.format(dim)) div = input.mul(input).unsqueeze(1) if dim == 3: div = pad(div, (0, 0, size // 2, (size - 1) // 2)) div = avg_pool2d(div, (size, 1), stride=1).squeeze(1) else: sizes = input.size() div = div.view(sizes[0], 1, sizes[1], sizes[2], -1) div = pad(div, (0, 0, 0, 0, size // 2, (size - 1) // 2)) div = avg_pool3d(div, (size, 1, 1), stride=1).squeeze(1) div = div.view(sizes) div = div.mul(alpha).add(k).pow(beta) return input / div
# loss
[docs]def ctc_loss(log_probs, targets, input_lengths, target_lengths, blank=0, reduction='mean', zero_infinity=False): # type: (Tensor, Tensor, Tensor, Tensor, int, str, bool) -> Tensor r"""The Connectionist Temporal Classification loss. See :class:`~torch.nn.CTCLoss` for details. .. include:: cudnn_deterministic.rst .. include:: cuda_deterministic_backward.rst Args: log_probs: :math:`(T, N, C)` where `C = number of characters in alphabet including blank`, `T = input length`, and `N = batch size`. The logarithmized probabilities of the outputs (e.g. obtained with :func:`torch.nn.functional.log_softmax`). targets: :math:`(N, S)` or `(sum(target_lengths))`. Targets cannot be blank. In the second form, the targets are assumed to be concatenated. input_lengths: :math:`(N)`. Lengths of the inputs (must each be :math:`\leq T`) target_lengths: :math:`(N)`. Lengths of the targets blank (int, optional): Blank label. Default :math:`0`. reduction (string, optional): Specifies the reduction to apply to the output: ``'none'`` | ``'mean'`` | ``'sum'``. ``'none'``: no reduction will be applied, ``'mean'``: the output losses will be divided by the target lengths and then the mean over the batch is taken, ``'sum'``: the output will be summed. Default: ``'mean'`` zero_infinity (bool, optional): Whether to zero infinite losses and the associated gradients. Default: ``False`` Infinite losses mainly occur when the inputs are too short to be aligned to the targets. Example:: >>> log_probs = torch.randn(50, 16, 20).log_softmax(2).detach().requires_grad_() >>> targets = torch.randint(1, 20, (16, 30), dtype=torch.long) >>> input_lengths = torch.full((16,), 50, dtype=torch.long) >>> target_lengths = torch.randint(10,30,(16,), dtype=torch.long) >>> loss = F.ctc_loss(log_probs, targets, input_lengths, target_lengths) >>> loss.backward() """ return torch.ctc_loss(log_probs, targets, input_lengths, target_lengths, blank, _Reduction.get_enum(reduction), zero_infinity)
[docs]def nll_loss(input, target, weight=None, size_average=None, ignore_index=-100, reduce=None, reduction='mean'): # type: (Tensor, Tensor, Optional[Tensor], Optional[bool], int, Optional[bool], str) -> Tensor r"""The negative log likelihood loss. See :class:`~torch.nn.NLLLoss` for details. Args: input: :math:`(N, C)` where `C = number of classes` or :math:`(N, C, H, W)` in case of 2D Loss, or :math:`(N, C, d_1, d_2, ..., d_K)` where :math:`K \geq 1` in the case of K-dimensional loss. target: :math:`(N)` where each value is :math:`0 \leq \text{targets}[i] \leq C-1`, or :math:`(N, d_1, d_2, ..., d_K)` where :math:`K \geq 1` for K-dimensional loss. weight (Tensor, optional): a manual rescaling weight given to each class. If given, has to be a Tensor of size `C` size_average (bool, optional): Deprecated (see :attr:`reduction`). By default, the losses are averaged over each loss element in the batch. Note that for some losses, there multiple elements per sample. If the field :attr:`size_average` is set to ``False``, the losses are instead summed for each minibatch. Ignored when reduce is ``False``. Default: ``True`` ignore_index (int, optional): Specifies a target value that is ignored and does not contribute to the input gradient. When :attr:`size_average` is ``True``, the loss is averaged over non-ignored targets. Default: -100 reduce (bool, optional): Deprecated (see :attr:`reduction`). By default, the losses are averaged or summed over observations for each minibatch depending on :attr:`size_average`. When :attr:`reduce` is ``False``, returns a loss per batch element instead and ignores :attr:`size_average`. Default: ``True`` reduction (string, optional): Specifies the reduction to apply to the output: ``'none'`` | ``'mean'`` | ``'sum'``. ``'none'``: no reduction will be applied, ``'mean'``: the sum of the output will be divided by the number of elements in the output, ``'sum'``: the output will be summed. Note: :attr:`size_average` and :attr:`reduce` are in the process of being deprecated, and in the meantime, specifying either of those two args will override :attr:`reduction`. Default: ``'mean'`` Example:: >>> # input is of size N x C = 3 x 5 >>> input = torch.randn(3, 5, requires_grad=True) >>> # each element in target has to have 0 <= value < C >>> target = torch.tensor([1, 0, 4]) >>> output = F.nll_loss(F.log_softmax(input), target) >>> output.backward() """ if size_average is not None or reduce is not None: reduction = _Reduction.legacy_get_string(size_average, reduce) dim = input.dim() if dim < 2: raise ValueError('Expected 2 or more dimensions (got {})'.format(dim)) if input.size(0) != target.size(0): raise ValueError('Expected input batch_size ({}) to match target batch_size ({}).' .format(input.size(0), target.size(0))) if dim == 2: ret = torch._C._nn.nll_loss(input, target, weight, _Reduction.get_enum(reduction), ignore_index) elif dim == 4: ret = torch._C._nn.nll_loss2d(input, target, weight, _Reduction.get_enum(reduction), ignore_index) else: # dim == 3 or dim > 4 n = input.size(0) c = input.size(1) out_size = (n,) + input.size()[2:] if target.size()[1:] != input.size()[2:]: raise ValueError('Expected target size {}, got {}'.format( out_size, target.size())) input = input.contiguous() target = target.contiguous() # support empty batches, see #15870 if input.numel() > 0: input = input.view(n, c, 1, -1) else: input = input.view(n, c, 0, 0) if target.numel() > 0: target = target.view(n, 1, -1) else: target = target.view(n, 0, 0) reduction_enum = _Reduction.get_enum(reduction) if reduction != 'none': ret = torch._C._nn.nll_loss2d( input, target, weight, reduction_enum, ignore_index) else: out = torch._C._nn.nll_loss2d( input, target, weight, reduction_enum, ignore_index) ret = out.view(out_size) return ret
[docs]def poisson_nll_loss(input, target, log_input=True, full=False, size_average=None, eps=1e-8, reduce=None, reduction='mean'): # type: (Tensor, Tensor, bool, bool, Optional[bool], float, Optional[bool], str) -> Tensor r"""Poisson negative log likelihood loss. See :class:`~torch.nn.PoissonNLLLoss` for details. Args: input: expectation of underlying Poisson distribution. target: random sample :math:`target \sim \text{Poisson}(input)`. log_input: if ``True`` the loss is computed as :math:`\exp(\text{input}) - \text{target} * \text{input}`, if ``False`` then loss is :math:`\text{input} - \text{target} * \log(\text{input}+\text{eps})`. Default: ``True`` full: whether to compute full loss, i. e. to add the Stirling approximation term. Default: ``False`` :math:`\text{target} * \log(\text{target}) - \text{target} + 0.5 * \log(2 * \pi * \text{target})`. size_average (bool, optional): Deprecated (see :attr:`reduction`). By default, the losses are averaged over each loss element in the batch. Note that for some losses, there multiple elements per sample. If the field :attr:`size_average` is set to ``False``, the losses are instead summed for each minibatch. Ignored when reduce is ``False``. Default: ``True`` eps (float, optional): Small value to avoid evaluation of :math:`\log(0)` when :attr:`log_input`=``False``. Default: 1e-8 reduce (bool, optional): Deprecated (see :attr:`reduction`). By default, the losses are averaged or summed over observations for each minibatch depending on :attr:`size_average`. When :attr:`reduce` is ``False``, returns a loss per batch element instead and ignores :attr:`size_average`. Default: ``True`` reduction (string, optional): Specifies the reduction to apply to the output: ``'none'`` | ``'mean'`` | ``'sum'``. ``'none'``: no reduction will be applied, ``'mean'``: the sum of the output will be divided by the number of elements in the output, ``'sum'``: the output will be summed. Note: :attr:`size_average` and :attr:`reduce` are in the process of being deprecated, and in the meantime, specifying either of those two args will override :attr:`reduction`. Default: ``'mean'`` """ if size_average is not None or reduce is not None: reduction = _Reduction.legacy_get_string(size_average, reduce) if reduction != 'none' and reduction != 'mean' and reduction != 'sum': ret = input raise ValueError(reduction + " is not valid") ret = torch.poisson_nll_loss(input, target, log_input, full, eps, _Reduction.get_enum(reduction)) return ret
[docs]def kl_div(input, target, size_average=None, reduce=None, reduction='mean'): # type: (Tensor, Tensor, Optional[bool], Optional[bool], str) -> Tensor r"""The `Kullback-Leibler divergence`_ Loss. See :class:`~torch.nn.KLDivLoss` for details. Args: input: Tensor of arbitrary shape target: Tensor of the same shape as input size_average (bool, optional): Deprecated (see :attr:`reduction`). By default, the losses are averaged over each loss element in the batch. Note that for some losses, there multiple elements per sample. If the field :attr:`size_average` is set to ``False``, the losses are instead summed for each minibatch. Ignored when reduce is ``False``. Default: ``True`` reduce (bool, optional): Deprecated (see :attr:`reduction`). By default, the losses are averaged or summed over observations for each minibatch depending on :attr:`size_average`. When :attr:`reduce` is ``False``, returns a loss per batch element instead and ignores :attr:`size_average`. Default: ``True`` reduction (string, optional): Specifies the reduction to apply to the output: ``'none'`` | ``'batchmean'`` | ``'sum'`` | ``'mean'``. ``'none'``: no reduction will be applied ``'batchmean'``: the sum of the output will be divided by the batchsize ``'sum'``: the output will be summed ``'mean'``: the output will be divided by the number of elements in the output Default: ``'mean'`` .. note:: :attr:`size_average` and :attr:`reduce` are in the process of being deprecated, and in the meantime, specifying either of those two args will override :attr:`reduction`. .. note:: :attr:``reduction`` = ``'mean'`` doesn't return the true kl divergence value, please use :attr:``reduction`` = ``'batchmean'`` which aligns with KL math definition. In the next major release, ``'mean'`` will be changed to be the same as 'batchmean'. .. _Kullback-Leibler divergence: https://en.wikipedia.org/wiki/Kullback-Leibler_divergence """ if size_average is not None or reduce is not None: reduction_enum = _Reduction.legacy_get_enum(size_average, reduce) else: if reduction == 'mean': warnings.warn("reduction: 'mean' divides the total loss by both the batch size and the support size." "'batchmean' divides only by the batch size, and aligns with the KL div math definition." "'mean' will be changed to behave the same as 'batchmean' in the next major release.") # special case for batchmean if reduction == 'batchmean': reduction_enum = _Reduction.get_enum('sum') else: reduction_enum = _Reduction.get_enum(reduction) reduced = torch.kl_div(input, target, reduction_enum) if reduction == 'batchmean' and input.dim() != 0: reduced = reduced / input.size()[0] return reduced
[docs]def cross_entropy(input, target, weight=None, size_average=None, ignore_index=-100, reduce=None, reduction='mean'): # type: (Tensor, Tensor, Optional[Tensor], Optional[bool], int, Optional[bool], str) -> Tensor r"""This criterion combines `log_softmax` and `nll_loss` in a single function. See :class:`~torch.nn.CrossEntropyLoss` for details. Args: input (Tensor) : :math:`(N, C)` where `C = number of classes` or :math:`(N, C, H, W)` in case of 2D Loss, or :math:`(N, C, d_1, d_2, ..., d_K)` where :math:`K \geq 1` in the case of K-dimensional loss. target (Tensor) : :math:`(N)` where each value is :math:`0 \leq \text{targets}[i] \leq C-1`, or :math:`(N, d_1, d_2, ..., d_K)` where :math:`K \geq 1` for K-dimensional loss. weight (Tensor, optional): a manual rescaling weight given to each class. If given, has to be a Tensor of size `C` size_average (bool, optional): Deprecated (see :attr:`reduction`). By default, the losses are averaged over each loss element in the batch. Note that for some losses, there multiple elements per sample. If the field :attr:`size_average` is set to ``False``, the losses are instead summed for each minibatch. Ignored when reduce is ``False``. Default: ``True`` ignore_index (int, optional): Specifies a target value that is ignored and does not contribute to the input gradient. When :attr:`size_average` is ``True``, the loss is averaged over non-ignored targets. Default: -100 reduce (bool, optional): Deprecated (see :attr:`reduction`). By default, the losses are averaged or summed over observations for each minibatch depending on :attr:`size_average`. When :attr:`reduce` is ``False``, returns a loss per batch element instead and ignores :attr:`size_average`. Default: ``True`` reduction (string, optional): Specifies the reduction to apply to the output: ``'none'`` | ``'mean'`` | ``'sum'``. ``'none'``: no reduction will be applied, ``'mean'``: the sum of the output will be divided by the number of elements in the output, ``'sum'``: the output will be summed. Note: :attr:`size_average` and :attr:`reduce` are in the process of being deprecated, and in the meantime, specifying either of those two args will override :attr:`reduction`. Default: ``'mean'`` Examples:: >>> input = torch.randn(3, 5, requires_grad=True) >>> target = torch.randint(5, (3,), dtype=torch.int64) >>> loss = F.cross_entropy(input, target) >>> loss.backward() """ if size_average is not None or reduce is not None: reduction = _Reduction.legacy_get_string(size_average, reduce) return nll_loss(log_softmax(input, 1), target, weight, None, ignore_index, None, reduction)
[docs]def binary_cross_entropy(input, target, weight=None, size_average=None, reduce=None, reduction='mean'): # type: (Tensor, Tensor, Optional[Tensor], Optional[bool], Optional[bool], str) -> Tensor r"""Function that measures the Binary Cross Entropy between the target and the output. See :class:`~torch.nn.BCELoss` for details. Args: input: Tensor of arbitrary shape target: Tensor of the same shape as input weight (Tensor, optional): a manual rescaling weight if provided it's repeated to match input tensor shape size_average (bool, optional): Deprecated (see :attr:`reduction`). By default, the losses are averaged over each loss element in the batch. Note that for some losses, there multiple elements per sample. If the field :attr:`size_average` is set to ``False``, the losses are instead summed for each minibatch. Ignored when reduce is ``False``. Default: ``True`` reduce (bool, optional): Deprecated (see :attr:`reduction`). By default, the losses are averaged or summed over observations for each minibatch depending on :attr:`size_average`. When :attr:`reduce` is ``False``, returns a loss per batch element instead and ignores :attr:`size_average`. Default: ``True`` reduction (string, optional): Specifies the reduction to apply to the output: ``'none'`` | ``'mean'`` | ``'sum'``. ``'none'``: no reduction will be applied, ``'mean'``: the sum of the output will be divided by the number of elements in the output, ``'sum'``: the output will be summed. Note: :attr:`size_average` and :attr:`reduce` are in the process of being deprecated, and in the meantime, specifying either of those two args will override :attr:`reduction`. Default: ``'mean'`` Examples:: >>> input = torch.randn((3, 2), requires_grad=True) >>> target = torch.rand((3, 2), requires_grad=False) >>> loss = F.binary_cross_entropy(F.sigmoid(input), target) >>> loss.backward() """ if size_average is not None or reduce is not None: reduction_enum = _Reduction.legacy_get_enum(size_average, reduce) else: reduction_enum = _Reduction.get_enum(reduction) if target.size() != input.size(): warnings.warn("Using a target size ({}) that is different to the input size ({}) is deprecated. " "Please ensure they have the same size.".format(target.size(), input.size()), stacklevel=2) if input.numel() != target.numel(): raise ValueError("Target and input must have the same number of elements. target nelement ({}) " "!= input nelement ({})".format(target.numel(), input.numel())) if weight is not None: new_size = _infer_size(target.size(), weight.size()) weight = weight.expand(new_size) return torch._C._nn.binary_cross_entropy( input, target, weight, reduction_enum)
[docs]def binary_cross_entropy_with_logits(input, target, weight=None, size_average=None, reduce=None, reduction='mean', pos_weight=None): # type: (Tensor, Tensor, Optional[Tensor], Optional[bool], Optional[bool], str, Optional[Tensor]) -> Tensor r"""Function that measures Binary Cross Entropy between target and output logits. See :class:`~torch.nn.BCEWithLogitsLoss` for details. Args: input: Tensor of arbitrary shape target: Tensor of the same shape as input weight (Tensor, optional): a manual rescaling weight if provided it's repeated to match input tensor shape size_average (bool, optional): Deprecated (see :attr:`reduction`). By default, the losses are averaged over each loss element in the batch. Note that for some losses, there multiple elements per sample. If the field :attr:`size_average` is set to ``False``, the losses are instead summed for each minibatch. Ignored when reduce is ``False``. Default: ``True`` reduce (bool, optional): Deprecated (see :attr:`reduction`). By default, the losses are averaged or summed over observations for each minibatch depending on :attr:`size_average`. When :attr:`reduce` is ``False``, returns a loss per batch element instead and ignores :attr:`size_average`. Default: ``True`` reduction (string, optional): Specifies the reduction to apply to the output: ``'none'`` | ``'mean'`` | ``'sum'``. ``'none'``: no reduction will be applied, ``'mean'``: the sum of the output will be divided by the number of elements in the output, ``'sum'``: the output will be summed. Note: :attr:`size_average` and :attr:`reduce` are in the process of being deprecated, and in the meantime, specifying either of those two args will override :attr:`reduction`. Default: ``'mean'`` pos_weight (Tensor, optional): a weight of positive examples. Must be a vector with length equal to the number of classes. Examples:: >>> input = torch.randn(3, requires_grad=True) >>> target = torch.empty(3).random_(2) >>> loss = F.binary_cross_entropy_with_logits(input, target) >>> loss.backward() """ if size_average is not None or reduce is not None: reduction_enum = _Reduction.legacy_get_enum(size_average, reduce) else: reduction_enum = _Reduction.get_enum(reduction) if not (target.size() == input.size()): raise ValueError("Target size ({}) must be the same as input size ({})".format(target.size(), input.size())) return torch.binary_cross_entropy_with_logits(input, target, weight, pos_weight, reduction_enum)
def _pointwise_loss(lambd, lambd_optimized, input, target, reduction='mean'): if target.requires_grad: d = lambd(input, target) if reduction == 'none': return d return torch.mean(d) if reduction == 'mean' else torch.sum(d) else: expanded_input, expanded_target = torch.broadcast_tensors(input, target) return lambd_optimized(expanded_input, expanded_target, _Reduction.get_enum(reduction)) def _smooth_l1_loss(input, target): # type: (Tensor, Tensor) -> Tensor t = torch.abs(input - target) return torch.where(t < 1, 0.5 * t ** 2, t - 0.5)
[docs]def smooth_l1_loss(input, target, size_average=None, reduce=None, reduction='mean'): # type: (Tensor, Tensor, Optional[bool], Optional[bool], str) -> Tensor r"""Function that uses a squared term if the absolute element-wise error falls below 1 and an L1 term otherwise. See :class:`~torch.nn.SmoothL1Loss` for details. """ if not (target.size() == input.size()): warnings.warn("Using a target size ({}) that is different to the input size ({}). " "This will likely lead to incorrect results due to broadcasting. " "Please ensure they have the same size.".format(target.size(), input.size()), stacklevel=2) if size_average is not None or reduce is not None: reduction = _Reduction.legacy_get_string(size_average, reduce) if target.requires_grad: ret = _smooth_l1_loss(input, target) if reduction != 'none': ret = torch.mean(ret) if reduction == 'mean' else torch.sum(ret) else: expanded_input, expanded_target = torch.broadcast_tensors(input, target) ret = torch._C._nn.smooth_l1_loss(expanded_input, expanded_target, _Reduction.get_enum(reduction)) return ret
[docs]def l1_loss(input, target, size_average=None, reduce=None, reduction='mean'): # type: (Tensor, Tensor, Optional[bool], Optional[bool], str) -> Tensor r"""l1_loss(input, target, size_average=None, reduce=None, reduction='mean') -> Tensor Function that takes the mean element-wise absolute value difference. See :class:`~torch.nn.L1Loss` for details. """ if not (target.size() == input.size()): warnings.warn("Using a target size ({}) that is different to the input size ({}). " "This will likely lead to incorrect results due to broadcasting. " "Please ensure they have the same size.".format(target.size(), input.size()), stacklevel=2) if size_average is not None or reduce is not None: reduction = _Reduction.legacy_get_string(size_average, reduce) if target.requires_grad: ret = torch.abs(input - target) if reduction != 'none': ret = torch.mean(ret) if reduction == 'mean' else torch.sum(ret) else: expanded_input, expanded_target = torch.broadcast_tensors(input, target) ret = torch._C._nn.l1_loss(expanded_input, expanded_target, _Reduction.get_enum(reduction)) return ret
[docs]def mse_loss(input, target, size_average=None, reduce=None, reduction='mean'): # type: (Tensor, Tensor, Optional[bool], Optional[bool], str) -> Tensor r"""mse_loss(input, target, size_average=None, reduce=None, reduction='mean') -> Tensor Measures the element-wise mean squared error. See :class:`~torch.nn.MSELoss` for details. """ if not (target.size() == input.size()): warnings.warn("Using a target size ({}) that is different to the input size ({}). " "This will likely lead to incorrect results due to broadcasting. " "Please ensure they have the same size.".format(target.size(), input.size()), stacklevel=2) if size_average is not None or reduce is not None: reduction = _Reduction.legacy_get_string(size_average, reduce) if target.requires_grad: ret = (input - target) ** 2 if reduction != 'none': ret = torch.mean(ret) if reduction == 'mean' else torch.sum(ret) else: expanded_input, expanded_target = torch.broadcast_tensors(input, target) ret = torch._C._nn.mse_loss(expanded_input, expanded_target, _Reduction.get_enum(reduction)) return ret
[docs]def margin_ranking_loss(input1, input2, target, margin=0, size_average=None, reduce=None, reduction='mean'): # type: (Tensor, Tensor, Tensor, float, Optional[bool], Optional[bool], str) -> Tensor r"""margin_ranking_loss(input1, input2, target, margin=0, size_average=None, reduce=None, reduction='mean') -> Tensor See :class:`~torch.nn.MarginRankingLoss` for details. """ # noqa if size_average is not None or reduce is not None: reduction_enum = _Reduction.legacy_get_enum(size_average, reduce) else: reduction_enum = _Reduction.get_enum(reduction) if input1.dim() == 0 or input2.dim() == 0 or target.dim() == 0: raise RuntimeError(("margin_ranking_loss does not support scalars, got sizes: " "input1: {}, input2: {}, target: {} ".format(input1.size(), input2.size(), target.size()))) return torch.margin_ranking_loss(input1, input2, target, margin, reduction_enum)
[docs]def hinge_embedding_loss(input, target, margin=1.0, size_average=None, reduce=None, reduction='mean'): # type: (Tensor, Tensor, float, Optional[bool], Optional[bool], str) -> Tensor r"""hinge_embedding_loss(input, target, margin=1.0, size_average=None, reduce=None, reduction='mean') -> Tensor See :class:`~torch.nn.HingeEmbeddingLoss` for details. """ # noqa if size_average is not None or reduce is not None: reduction_enum = _Reduction.legacy_get_enum(size_average, reduce) else: reduction_enum = _Reduction.get_enum(reduction) return torch.hinge_embedding_loss(input, target, margin, reduction_enum)
[docs]def multilabel_margin_loss(input, target, size_average=None, reduce=None, reduction='mean'): # type: (Tensor, Tensor, Optional[bool], Optional[bool], str) -> Tensor r"""multilabel_margin_loss(input, target, size_average=None, reduce=None, reduction='mean') -> Tensor See :class:`~torch.nn.MultiLabelMarginLoss` for details. """ if size_average is not None or reduce is not None: reduction_enum = _Reduction.legacy_get_enum(size_average, reduce) else: reduction_enum = _Reduction.get_enum(reduction) return torch._C._nn.multilabel_margin_loss(input, target, reduction_enum)
[docs]def soft_margin_loss(input, target, size_average=None, reduce=None, reduction='mean'): # type: (Tensor, Tensor, Optional[bool], Optional[bool], str) -> Tensor r"""soft_margin_loss(input, target, size_average=None, reduce=None, reduction='mean') -> Tensor See :class:`~torch.nn.SoftMarginLoss` for details. """ if size_average is not None or reduce is not None: reduction_enum = _Reduction.legacy_get_enum(size_average, reduce) else: reduction_enum = _Reduction.get_enum(reduction) return torch._C._nn.soft_margin_loss(input, target, reduction_enum)
[docs]def multilabel_soft_margin_loss(input, target, weight=None, size_average=None, reduce=None, reduction='mean'): # type: (Tensor, Tensor, Optional[Tensor], Optional[bool], Optional[bool], str) -> Tensor r"""multilabel_soft_margin_loss(input, target, weight=None, size_average=None) -> Tensor See :class:`~torch.nn.MultiLabelSoftMarginLoss` for details. """ if size_average is not None or reduce is not None: reduction = _Reduction.legacy_get_string(size_average, reduce) loss = -(target * logsigmoid(input) + (1 - target) * logsigmoid(-input)) if weight is not None: loss = loss * weight loss = loss.sum(dim=1) / input.size(1) # only return N loss values if reduction == 'none': ret = loss elif reduction == 'mean': ret = loss.mean() elif reduction == 'sum': ret = loss.sum() else: ret = input raise ValueError(reduction + " is not valid") return ret
[docs]def cosine_embedding_loss(input1, input2, target, margin=0, size_average=None, reduce=None, reduction='mean'): # type: (Tensor, Tensor, Tensor, float, Optional[bool], Optional[bool], str) -> Tensor r"""cosine_embedding_loss(input1, input2, target, margin=0, size_average=None, reduce=None, reduction='mean') -> Tensor See :class:`~torch.nn.CosineEmbeddingLoss` for details. """ # noqa if size_average is not None or reduce is not None: reduction_enum = _Reduction.legacy_get_enum(size_average, reduce) else: reduction_enum = _Reduction.get_enum(reduction) return torch.cosine_embedding_loss(input1, input2, target, margin, reduction_enum)
[docs]def multi_margin_loss(input, target, p=1, margin=1., weight=None, size_average=None, reduce=None, reduction='mean'): # type: (Tensor, Tensor, int, float, Optional[Tensor], Optional[bool], Optional[bool], str) -> Tensor r"""multi_margin_loss(input, target, p=1, margin=1, weight=None, size_average=None, reduce=None, reduction='mean') -> Tensor See :class:`~torch.nn.MultiMarginLoss` for details. """ if size_average is not None or reduce is not None: reduction_enum = _Reduction.legacy_get_enum(size_average, reduce) else: reduction_enum = _Reduction.get_enum(reduction) if p != 1 and p != 2: raise ValueError('only p == 1 and p == 2 supported') if weight is not None: if weight.dim() != 1: raise ValueError('weight must be one-dimensional') return torch._C._nn.multi_margin_loss(input, target, p, margin, weight, reduction_enum)
pixel_shuffle = _add_docstr(torch.pixel_shuffle, r""" Rearranges elements in a tensor of shape :math:`(*, C \times r^2, H, W)` to a tensor of shape :math:`(*, C, H \times r, W \times r)`. See :class:`~torch.nn.PixelShuffle` for details. Args: input (Tensor): the input tensor upscale_factor (int): factor to increase spatial resolution by Examples:: >>> input = torch.randn(1, 9, 4, 4) >>> output = torch.nn.functional.pixel_shuffle(input, 3) >>> print(output.size()) torch.Size([1, 1, 12, 12]) """)
[docs]def upsample(input, size=None, scale_factor=None, mode='nearest', align_corners=None): r"""Upsamples the input to either the given :attr:`size` or the given :attr:`scale_factor` .. warning:: This function is deprecated in favor of :func:`torch.nn.functional.interpolate`. This is equivalent with ``nn.functional.interpolate(...)``. .. include:: cuda_deterministic_backward.rst The algorithm used for upsampling is determined by :attr:`mode`. Currently temporal, spatial and volumetric upsampling are supported, i.e. expected inputs are 3-D, 4-D or 5-D in shape. The input dimensions are interpreted in the form: `mini-batch x channels x [optional depth] x [optional height] x width`. The modes available for upsampling are: `nearest`, `linear` (3D-only), `bilinear`, `bicubic` (4D-only), `trilinear` (5D-only) Args: input (Tensor): the input tensor size (int or Tuple[int] or Tuple[int, int] or Tuple[int, int, int]): output spatial size. scale_factor (float or Tuple[float]): multiplier for spatial size. Has to be an integer. mode (string): algorithm used for upsampling: ``'nearest'`` | ``'linear'`` | ``'bilinear'`` | ``'bicubic'`` | ``'trilinear'``. Default: ``'nearest'`` align_corners (bool, optional): Geometrically, we consider the pixels of the input and output as squares rather than points. If set to ``True``, the input and output tensors are aligned by the center points of their corner pixels, preserving the values at the corner pixels. If set to ``False``, the input and output tensors are aligned by the corner points of their corner pixels, and the interpolation uses edge value padding for out-of-boundary values, making this operation *independent* of input size when :attr:`scale_factor` is kept the same. This only has an effect when :attr:`mode` is ``'linear'``, ``'bilinear'``, ``'bicubic'`` or ``'trilinear'``. Default: ``False`` .. note:: With ``mode='bicubic'``, it's possible to cause overshoot, in other words it can produce negative values or values greater than 255 for images. Explicitly call ``result.clamp(min=0, max=255)`` if you want to reduce the overshoot when displaying the image. .. warning:: With ``align_corners = True``, the linearly interpolating modes (`linear`, `bilinear`, and `trilinear`) don't proportionally align the output and input pixels, and thus the output values can depend on the input size. This was the default behavior for these modes up to version 0.3.1. Since then, the default behavior is ``align_corners = False``. See :class:`~torch.nn.Upsample` for concrete examples on how this affects the outputs. """ warnings.warn("nn.functional.upsample is deprecated. Use nn.functional.interpolate instead.") return interpolate(input, size, scale_factor, mode, align_corners)
[docs]def interpolate(input, size=None, scale_factor=None, mode='nearest', align_corners=None, use_scale_factor=None): r"""Down/up samples the input to either the given :attr:`size` or the given :attr:`scale_factor` The algorithm used for interpolation is determined by :attr:`mode`. Currently temporal, spatial and volumetric sampling are supported, i.e. expected inputs are 3-D, 4-D or 5-D in shape. The input dimensions are interpreted in the form: `mini-batch x channels x [optional depth] x [optional height] x width`. The modes available for resizing are: `nearest`, `linear` (3D-only), `bilinear`, `bicubic` (4D-only), `trilinear` (5D-only), `area` Args: input (Tensor): the input tensor size (int or Tuple[int] or Tuple[int, int] or Tuple[int, int, int]): output spatial size. scale_factor (float or Tuple[float]): multiplier for spatial size. Has to match input size if it is a tuple. mode (str): algorithm used for upsampling: ``'nearest'`` | ``'linear'`` | ``'bilinear'`` | ``'bicubic'`` | ``'trilinear'`` | ``'area'``. Default: ``'nearest'`` align_corners (bool, optional): Geometrically, we consider the pixels of the input and output as squares rather than points. If set to ``True``, the input and output tensors are aligned by the center points of their corner pixels, preserving the values at the corner pixels. If set to ``False``, the input and output tensors are aligned by the corner points of their corner pixels, and the interpolation uses edge value padding for out-of-boundary values, making this operation *independent* of input size when :attr:`scale_factor` is kept the same. This only has an effect when :attr:`mode` is ``'linear'``, ``'bilinear'``, ``'bicubic'`` or ``'trilinear'``. Default: ``False`` use_scale_factor (bool, optional): When scale_factor is passed as a parameter, it can be directly used in the output computation, or can be used to compute the output size which will later be used to infer new scales values. In the second case, the value of the scales used in the interpolation can be different than the ones specified by the user for non integer values of scale_factor (due to floating point precision). If set to ``True``, scale_factor is used in the interpolation. If set to ``False``, the output_size is computed and new scales are infered for the interpolation. Default: ``False`` .. note:: With ``mode='bicubic'``, it's possible to cause overshoot, in other words it can produce negative values or values greater than 255 for images. Explicitly call ``result.clamp(min=0, max=255)`` if you want to reduce the overshoot when displaying the image. .. warning:: With ``align_corners = True``, the linearly interpolating modes (`linear`, `bilinear`, and `trilinear`) don't proportionally align the output and input pixels, and thus the output values can depend on the input size. This was the default behavior for these modes up to version 0.3.1. Since then, the default behavior is ``align_corners = False``. See :class:`~torch.nn.Upsample` for concrete examples on how this affects the outputs. When scale_factor is specified, if use_scale_factor=False, scale_factor is used to compute the output_size which will then be used to infer new scales for the interpolation. This is the current default behavior when use_scale_factor is not specified. The default behavior for use_scale_factor will change to True in 1.5.0, and scale_factor will be used in the interpolation calculation. .. include:: cuda_deterministic_backward.rst """ from .modules.utils import _ntuple def _check_size_scale_factor(dim): if size is None and scale_factor is None: raise ValueError('either size or scale_factor should be defined') if size is not None and scale_factor is not None: raise ValueError('only one of size or scale_factor should be defined') if scale_factor is not None and isinstance(scale_factor, tuple)\ and len(scale_factor) != dim: raise ValueError('scale_factor shape must match input shape. ' 'Input is {}D, scale_factor size is {}'.format(dim, len(scale_factor))) if scale_factor is not None and use_scale_factor is None: # only warn when the scales have floating values since # the result for ints is the same with/without use_scale_factor is_float_scale_factor = any(not float(scale).is_integer() for scale in _ntuple(dim)(scale_factor)) if is_float_scale_factor: warnings.warn("The default behavior for interpolate/upsample with float scale_factor will change " "in 1.5.0 to align with other frameworks/libraries, and use scale_factor directly, " "instead of relying on the computed output size. " "If you wish to keep the old behavior, please set use_scale_factor=False. " "See the documentation of nn.Upsample for details. ") def _output_size(dim): _check_size_scale_factor(dim) if size is not None: return size scale_factors = _ntuple(dim)(scale_factor) # math.floor might return float in py2.7 # make scale_factor a tensor in tracing so constant doesn't get baked in if torch._C._get_tracing_state(): return [(torch.floor((input.size(i + 2).float() * torch.tensor(scale_factors[i], dtype=torch.float32)).float())) for i in range(dim)] else: return [int(math.floor(float(input.size(i + 2)) * scale_factors[i])) for i in range(dim)] def _scale_factors(dim): scale_factor_len = dim - 2 scale_factor_list = _ntuple(scale_factor_len)(-1) if scale_factor is not None and use_scale_factor: scale_factor_list = _ntuple(scale_factor_len)(scale_factor) return scale_factor_list if mode in ('nearest', 'area'): if align_corners is not None: raise ValueError("align_corners option can only be set with the " "interpolating modes: linear | bilinear | bicubic | trilinear") else: if align_corners is None: warnings.warn("Default upsampling behavior when mode={} is changed " "to align_corners=False since 0.4.0. Please specify " "align_corners=True if the old behavior is desired. " "See the documentation of nn.Upsample for details.".format(mode)) align_corners = False scale_factor_list = _scale_factors(input.dim()) if input.dim() == 3 and mode == 'nearest': return torch._C._nn.upsample_nearest1d(input, _output_size(1), scale_factor_list[0]) elif input.dim() == 4 and mode == 'nearest': return torch._C._nn.upsample_nearest2d(input, _output_size(2), scale_factor_list[0], scale_factor_list[1]) elif input.dim() == 5 and mode == 'nearest': return torch._C._nn.upsample_nearest3d(input, _output_size(3), scale_factor_list[0], scale_factor_list[1], scale_factor_list[2]) elif input.dim() == 3 and mode == 'area': return adaptive_avg_pool1d(input, _output_size(1)) elif input.dim() == 4 and mode == 'area': return adaptive_avg_pool2d(input, _output_size(2)) elif input.dim() == 5 and mode == 'area': return adaptive_avg_pool3d(input, _output_size(3)) elif input.dim() == 3 and mode == 'linear': return torch._C._nn.upsample_linear1d(input, _output_size(1), align_corners, scale_factor_list[0]) elif input.dim() == 3 and mode == 'bilinear': raise NotImplementedError("Got 3D input, but bilinear mode needs 4D input") elif input.dim() == 3 and mode == 'trilinear': raise NotImplementedError("Got 3D input, but trilinear mode needs 5D input") elif input.dim() == 4 and mode == 'linear': raise NotImplementedError("Got 4D input, but linear mode needs 3D input") elif input.dim() == 4 and mode == 'bilinear': return torch._C._nn.upsample_bilinear2d(input, _output_size(2), align_corners, scale_factor_list[0], scale_factor_list[1]) elif input.dim() == 4 and mode == 'trilinear': raise NotImplementedError("Got 4D input, but trilinear mode needs 5D input") elif input.dim() == 5 and mode == 'linear': raise NotImplementedError("Got 5D input, but linear mode needs 3D input") elif input.dim() == 5 and mode == 'bilinear': raise NotImplementedError("Got 5D input, but bilinear mode needs 4D input") elif input.dim() == 5 and mode == 'trilinear': return torch._C._nn.upsample_trilinear3d(input, _output_size(3), align_corners, scale_factor_list[0], scale_factor_list[1], scale_factor_list[2]) elif input.dim() == 4 and mode == 'bicubic': return torch._C._nn.upsample_bicubic2d(input, _output_size(2), align_corners, scale_factor_list[0], scale_factor_list[1]) else: raise NotImplementedError("Input Error: Only 3D, 4D and 5D input Tensors supported" " (got {}D) for the modes: nearest | linear | bilinear | bicubic | trilinear" " (got {})".format(input.dim(), mode))
[docs]def upsample_nearest(input, size=None, scale_factor=None): r"""Upsamples the input, using nearest neighbours' pixel values. .. warning:: This function is deprecated in favor of :func:`torch.nn.functional.interpolate`. This is equivalent with ``nn.functional.interpolate(..., mode='nearest')``. Currently spatial and volumetric upsampling are supported (i.e. expected inputs are 4 or 5 dimensional). Args: input (Tensor): input size (int or Tuple[int, int] or Tuple[int, int, int]): output spatia size. scale_factor (int): multiplier for spatial size. Has to be an integer. .. include:: cuda_deterministic_backward.rst """ # DeprecationWarning is ignored by default warnings.warn("nn.functional.upsample_nearest is deprecated. Use nn.functional.interpolate instead.") return interpolate(input, size, scale_factor, mode='nearest')
[docs]def upsample_bilinear(input, size=None, scale_factor=None): r"""Upsamples the input, using bilinear upsampling. .. warning:: This function is deprecated in favor of :func:`torch.nn.functional.interpolate`. This is equivalent with ``nn.functional.interpolate(..., mode='bilinear', align_corners=True)``. Expected inputs are spatial (4 dimensional). Use `upsample_trilinear` fo volumetric (5 dimensional) inputs. Args: input (Tensor): input size (int or Tuple[int, int]): output spatial size. scale_factor (int or Tuple[int, int]): multiplier for spatial size .. include:: cuda_deterministic_backward.rst """ # DeprecationWarning is ignored by default warnings.warn("nn.functional.upsample_bilinear is deprecated. Use nn.functional.interpolate instead.") return interpolate(input, size, scale_factor, mode='bilinear', align_corners=True)
GRID_SAMPLE_INTERPOLATION_MODES = { 'bilinear': 0, 'nearest': 1, } GRID_SAMPLE_PADDING_MODES = { 'zeros': 0, 'border': 1, 'reflection': 2, }
[docs]def grid_sample(input, grid, mode='bilinear', padding_mode='zeros', align_corners=None): # type: (Tensor, Tensor, str, str, Optional[bool]) -> Tensor r"""Given an :attr:`input` and a flow-field :attr:`grid`, computes the ``output`` using :attr:`input` values and pixel locations from :attr:`grid`. Currently, only spatial (4-D) and volumetric (5-D) :attr:`input` are supported. In the spatial (4-D) case, for :attr:`input` with shape :math:`(N, C, H_\text{in}, W_\text{in})` and :attr:`grid` with shape :math:`(N, H_\text{out}, W_\text{out}, 2)`, the output will have shape :math:`(N, C, H_\text{out}, W_\text{out})`. For each output location ``output[n, :, h, w]``, the size-2 vector ``grid[n, h, w]`` specifies :attr:`input` pixel locations ``x`` and ``y``, which are used to interpolate the output value ``output[n, :, h, w]``. In the case of 5D inputs, ``grid[n, d, h, w]`` specifies the ``x``, ``y``, ``z`` pixel locations for interpolating ``output[n, :, d, h, w]``. :attr:`mode` argument specifies ``nearest`` or ``bilinear`` interpolation method to sample the input pixels. :attr:`grid` specifies the sampling pixel locations normalized by the :attr:`input` spatial dimensions. Therefore, it should have most values in the range of ``[-1, 1]``. For example, values ``x = -1, y = -1`` is the left-top pixel of :attr:`input`, and values ``x = 1, y = 1`` is the right-bottom pixel of :attr:`input`. If :attr:`grid` has values outside the range of ``[-1, 1]``, the corresponding outputs are handled as defined by :attr:`padding_mode`. Options are * ``padding_mode="zeros"``: use ``0`` for out-of-bound grid locations, * ``padding_mode="border"``: use border values for out-of-bound grid locations, * ``padding_mode="reflection"``: use values at locations reflected by the border for out-of-bound grid locations. For location far away from the border, it will keep being reflected until becoming in bound, e.g., (normalized) pixel location ``x = -3.5`` reflects by border ``-1`` and becomes ``x' = 1.5``, then reflects by border ``1`` and becomes ``x'' = -0.5``. .. note:: This function is often used in conjunction with :func:`affine_grid` to build `Spatial Transformer Networks`_ . .. include:: cuda_deterministic_backward.rst Args: input (Tensor): input of shape :math:`(N, C, H_\text{in}, W_\text{in})` (4-D case) or :math:`(N, C, D_\text{in}, H_\text{in}, W_\text{in})` (5-D case) grid (Tensor): flow-field of shape :math:`(N, H_\text{out}, W_\text{out}, 2)` (4-D case) or :math:`(N, D_\text{out}, H_\text{out}, W_\text{out}, 3)` (5-D case) mode (str): interpolation mode to calculate output values ``'bilinear'`` | ``'nearest'``. Default: ``'bilinear'`` padding_mode (str): padding mode for outside grid values ``'zeros'`` | ``'border'`` | ``'reflection'``. Default: ``'zeros'`` align_corners (bool, optional): Geometrically, we consider the pixels of the input as squares rather than points. If set to ``True``, the extrema (``-1`` and ``1``) are considered as referring to the center points of the input's corner pixels. If set to ``False``, they are instead considered as referring to the corner points of the input's corner pixels, making the sampling more resolution agnostic. This option parallels the ``align_corners`` option in :func:`interpolate`, and so whichever option is used here should also be used there to resize the input image before grid sampling. Default: ``False`` Returns: output (Tensor): output Tensor .. _`Spatial Transformer Networks`: https://arxiv.org/abs/1506.02025 .. warning:: When ``align_corners = True``, the grid positions depend on the pixel size relative to the input image size, and so the locations sampled by :func:`grid_sample` will differ for the same input given at different resolutions (that is, after being upsampled or downsampled). The default behavior up to version 1.2.0 was ``align_corners = True``. Since then, the default behavior has been changed to ``align_corners = False``, in order to bring it in line with the default for :func:`interpolate`. """ if mode != 'bilinear' and mode != 'nearest': raise ValueError("nn.functional.grid_sample(): expected mode to be " "'bilinear' or 'nearest', but got: '{}'".format(mode)) if padding_mode != 'zeros' and padding_mode != 'border' and padding_mode != 'reflection': raise ValueError("nn.functional.grid_sample(): expected padding_mode " "to be 'zeros', 'border', or 'reflection', " "but got: '{}'".format(padding_mode)) if mode == 'bilinear': mode_enum = 0 else: # mode == 'nearest' mode_enum = 1 if padding_mode == 'zeros': padding_mode_enum = 0 elif padding_mode == 'border': padding_mode_enum = 1 else: # padding_mode == 'reflection' padding_mode_enum = 2 if align_corners is None: warnings.warn("Default grid_sample and affine_grid behavior has changed " "to align_corners=False since 1.3.0. Please specify " "align_corners=True if the old behavior is desired. " "See the documentation of grid_sample for details.") align_corners = False return torch.grid_sampler(input, grid, mode_enum, padding_mode_enum, align_corners)
[docs]def affine_grid(theta, size, align_corners=None): # type: (Tensor, List[int], Optional[bool]) -> Tensor r"""Generates a 2D or 3D flow field (sampling grid), given a batch of affine matrices :attr:`theta`. .. note:: This function is often used in conjunction with :func:`grid_sample` to build `Spatial Transformer Networks`_ . Args: theta (Tensor): input batch of affine matrices with shape (:math:`N \times 2 \times 3`) for 2D or (:math:`N \times 3 \times 4`) for 3D size (torch.Size): the target output image size. (:math:`N \times C \times H \times W` for 2D or :math:`N \times C \times D \times H \times W` for 3D) Example: torch.Size((32, 3, 24, 24)) align_corners (bool, optional): if ``True``, consider ``-1`` and ``1`` to refer to the centers of the corner pixels rather than the image corners. Refer to :func:`grid_sample` for a more complete description. A grid generated by :func:`affine_grid` should be passed to :func:`grid_sample` with the same setting for this option. Default: ``False`` Returns: output (Tensor): output Tensor of size (:math:`N \times H \times W \times 2`) .. _`Spatial Transformer Networks`: https://arxiv.org/abs/1506.02025 .. warning:: When ``align_corners = True``, the grid positions depend on the pixel size relative to the input image size, and so the locations sampled by :func:`grid_sample` will differ for the same input given at different resolutions (that is, after being upsampled or downsampled). The default behavior up to version 1.2.0 was ``align_corners = True``. Since then, the default behavior has been changed to ``align_corners = False``, in order to bring it in line with the default for :func:`interpolate`. .. warning:: When ``align_corners = True``, 2D affine transforms on 1D data and 3D affine transforms on 2D data (that is, when one of the spatial dimensions has unit size) are ill-defined, and not an intended use case. This is not a problem when ``align_corners = False``. Up to version 1.2.0, all grid points along a unit dimension were considered arbitrarily to be at ``-1``. From version 1.3.0, under ``align_corners = True`` all grid points along a unit dimension are condsidered to be at ```0`` (the center of the input image). """ if align_corners is None: warnings.warn("Default grid_sample and affine_grid behavior has changed " "to align_corners=False since 1.3.0. Please specify " "align_corners=True if the old behavior is desired. " "See the documentation of grid_sample for details.") align_corners = False # enforce floating point dtype on theta if not theta.is_floating_point(): raise ValueError("Expected theta to have floating point type, but got {}" .format(theta.dtype)) # check that shapes and sizes match if len(size) == 4: if theta.dim() != 3 or theta.shape[-2] != 2 or theta.shape[-1] != 3: raise ValueError("Expected a batch of 2D affine matrices of shape Nx2x3 " "for size {}. Got {}.".format(size, theta.shape)) spatial_size = size[-2:] # spatial dimension sizes elif len(size) == 5: if theta.dim() != 3 or theta.shape[-2] != 3 or theta.shape[-1] != 4: raise ValueError("Expected a batch of 3D affine matrices of shape Nx3x4 " "for size {}. Got {}.".format(size, theta.shape)) spatial_size = size[-3:] # spatial dimension sizes else: raise NotImplementedError("affine_grid only supports 4D and 5D sizes, " "for 2D and 3D affine transforms, respectively. " "Got size {}.".format(size)) # check for empty span if align_corners and min(spatial_size) == 1: warnings.warn("Since version 1.3.0, affine_grid behavior has changed " "for unit-size grids when align_corners=True. " "This is not an intended use case of affine_grid. " "See the documentation of affine_grid for details.") elif min(size) <= 0: raise ValueError("Expected non-zero, positive output size. Got {}" .format(size)) return torch.affine_grid_generator(theta, size, align_corners)
[docs]def pad(input, pad, mode='constant', value=0): # type: (Tensor, List[int], str, float) -> Tensor r"""Pads tensor. Padding size: The padding size by which to pad some dimensions of :attr:`input` are described starting from the last dimension and moving forward. :math:`\left\lfloor\frac{\text{len(pad)}}{2}\right\rfloor` dimensions of ``input`` will be padded. For example, to pad only the last dimension of the input tensor, then :attr:`pad` has the form :math:`(\text{padding\_left}, \text{padding\_right})`; to pad the last 2 dimensions of the input tensor, then use :math:`(\text{padding\_left}, \text{padding\_right},` :math:`\text{padding\_top}, \text{padding\_bottom})`; to pad the last 3 dimensions, use :math:`(\text{padding\_left}, \text{padding\_right},` :math:`\text{padding\_top}, \text{padding\_bottom}` :math:`\text{padding\_front}, \text{padding\_back})`. Padding mode: See :class:`torch.nn.ConstantPad2d`, :class:`torch.nn.ReflectionPad2d`, and :class:`torch.nn.ReplicationPad2d` for concrete examples on how each of the padding modes works. Constant padding is implemented for arbitrary dimensions. Replicate padding is implemented for padding the last 3 dimensions of 5D input tensor, or the last 2 dimensions of 4D input tensor, or the last dimension of 3D input tensor. Reflect padding is only implemented for padding the last 2 dimensions of 4D input tensor, or the last dimension of 3D input tensor. .. include:: cuda_deterministic_backward.rst Args: input (Tensor): N-dimensional tensor pad (tuple): m-elements tuple, where :math:`\frac{m}{2} \leq` input dimensions and :math:`m` is even. mode: ``'constant'``, ``'reflect'``, ``'replicate'`` or ``'circular'``. Default: ``'constant'`` value: fill value for ``'constant'`` padding. Default: ``0`` Examples:: >>> t4d = torch.empty(3, 3, 4, 2) >>> p1d = (1, 1) # pad last dim by 1 on each side >>> out = F.pad(t4d, p1d, "constant", 0) # effectively zero padding >>> print(out.data.size()) torch.Size([3, 3, 4, 4]) >>> p2d = (1, 1, 2, 2) # pad last dim by (1, 1) and 2nd to last by (2, 2) >>> out = F.pad(t4d, p2d, "constant", 0) >>> print(out.data.size()) torch.Size([3, 3, 8, 4]) >>> t4d = torch.empty(3, 3, 4, 2) >>> p3d = (0, 1, 2, 1, 3, 3) # pad by (0, 1), (2, 1), and (3, 3) >>> out = F.pad(t4d, p3d, "constant", 0) >>> print(out.data.size()) torch.Size([3, 9, 7, 3]) """ assert len(pad) % 2 == 0, 'Padding length must be divisible by 2' assert len(pad) // 2 <= input.dim(), 'Padding length too large' if mode == 'constant': return _VF.constant_pad_nd(input, pad, value) else: assert value == 0, 'Padding mode "{}"" doesn\'t take in value argument'.format(mode) if input.dim() == 3: assert len(pad) == 2, '3D tensors expect 2 values for padding' if mode == 'reflect': return torch._C._nn.reflection_pad1d(input, pad) elif mode == 'replicate': return torch._C._nn.replication_pad1d(input, pad) elif mode == 'circular': return _pad_circular(input, pad) else: raise NotImplementedError elif input.dim() == 4: assert len(pad) == 4, '4D tensors expect 4 values for padding' if mode == 'reflect': return torch._C._nn.reflection_pad2d(input, pad) elif mode == 'replicate': return torch._C._nn.replication_pad2d(input, pad) elif mode == 'circular': return _pad_circular(input, pad) else: raise NotImplementedError elif input.dim() == 5: assert len(pad) == 6, '5D tensors expect 6 values for padding' if mode == 'reflect': raise NotImplementedError elif mode == 'replicate': return torch._C._nn.replication_pad3d(input, pad) elif mode == 'circular': return _pad_circular(input, pad) else: raise NotImplementedError else: raise NotImplementedError("Only 3D, 4D, 5D padding with non-constant padding are supported for now")
# distance
[docs]def pairwise_distance(x1, x2, p=2., eps=1e-6, keepdim=False): # type: (Tensor, Tensor, float, float, bool) -> Tensor r""" See :class:`torch.nn.PairwiseDistance` for details """ return torch.pairwise_distance(x1, x2, p, eps, keepdim)
pdist = _add_docstr(torch.pdist, r""" pdist(input, p=2) -> Tensor Computes the p-norm distance between every pair of row vectors in the input. This is identical to the upper triangular portion, excluding the diagonal, of `torch.norm(input[:, None] - input, dim=2, p=p)`. This function will be faster if the rows are contiguous. If input has shape :math:`N \times M` then the output will have shape :math:`\frac{1}{2} N (N - 1)`. This function is equivalent to `scipy.spatial.distance.pdist(input, 'minkowski', p=p)` if :math:`p \in (0, \infty)`. When :math:`p = 0` it is equivalent to `scipy.spatial.distance.pdist(input, 'hamming') * M`. When :math:`p = \infty`, the closest scipy function is `scipy.spatial.distance.pdist(xn, lambda x, y: np.abs(x - y).max())`. Args: input: input tensor of shape :math:`N \times M`. p: p value for the p-norm distance to calculate between each vector pair :math:`\in [0, \infty]`. """) cosine_similarity = _add_docstr(torch.cosine_similarity, r""" cosine_similarity(x1, x2, dim=1, eps=1e-8) -> Tensor Returns cosine similarity between x1 and x2, computed along dim. .. math :: \text{similarity} = \dfrac{x_1 \cdot x_2}{\max(\Vert x_1 \Vert _2 \cdot \Vert x_2 \Vert _2, \epsilon)} Args: x1 (Tensor): First input. x2 (Tensor): Second input (of size matching x1). dim (int, optional): Dimension of vectors. Default: 1 eps (float, optional): Small value to avoid division by zero. Default: 1e-8 Shape: - Input: :math:`(\ast_1, D, \ast_2)` where D is at position `dim`. - Output: :math:`(\ast_1, \ast_2)` where 1 is at position `dim`. Example:: >>> input1 = torch.randn(100, 128) >>> input2 = torch.randn(100, 128) >>> output = F.cosine_similarity(input1, input2) >>> print(output) """) one_hot = _add_docstr(torch._C._nn.one_hot, r""" one_hot(tensor, num_classes=-1) -> LongTensor Takes LongTensor with index values of shape ``(*)`` and returns a tensor of shape ``(*, num_classes)`` that have zeros everywhere except where the index of last dimension matches the corresponding value of the input tensor, in which case it will be 1. See also `One-hot on Wikipedia`_ . .. _One-hot on Wikipedia: https://en.wikipedia.org/wiki/One-hot Arguments: tensor (LongTensor): class values of any shape. num_classes (int): Total number of classes. If set to -1, the number of classes will be inferred as one greater than the largest class value in the input tensor. Returns: LongTensor that has one more dimension with 1 values at the index of last dimension indicated by the input, and 0 everywhere else. Examples: >>> F.one_hot(torch.arange(0, 5) % 3) tensor([[1, 0, 0], [0, 1, 0], [0, 0, 1], [1, 0, 0], [0, 1, 0]]) >>> F.one_hot(torch.arange(0, 5) % 3, num_classes=5) tensor([[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [0, 0, 1, 0, 0], [1, 0, 0, 0, 0], [0, 1, 0, 0, 0]]) >>> F.one_hot(torch.arange(0, 6).view(3,2) % 3) tensor([[[1, 0, 0], [0, 1, 0]], [[0, 0, 1], [1, 0, 0]], [[0, 1, 0], [0, 0, 1]]]) """)
[docs]def triplet_margin_loss(anchor, positive, negative, margin=1.0, p=2, eps=1e-6, swap=False, size_average=None, reduce=None, reduction="mean"): # type: (Tensor, Tensor, Tensor, float, float, float, bool, Optional[bool], Optional[bool], str) -> Tensor r""" See :class:`~torch.nn.TripletMarginLoss` for details """ if size_average is not None or reduce is not None: reduction_enum = _Reduction.legacy_get_enum(size_average, reduce) else: reduction_enum = _Reduction.get_enum(reduction) return torch.triplet_margin_loss(anchor, positive, negative, margin, p, eps, swap, reduction_enum)
[docs]def normalize(input, p=2, dim=1, eps=1e-12, out=None): # type: (Tensor, float, int, float, Optional[Tensor]) -> Tensor r"""Performs :math:`L_p` normalization of inputs over specified dimension. For a tensor :attr:`input` of sizes :math:`(n_0, ..., n_{dim}, ..., n_k)`, each :math:`n_{dim}` -element vector :math:`v` along dimension :attr:`dim` is transformed as .. math:: v = \frac{v}{\max(\lVert v \rVert_p, \epsilon)}. With the default arguments it uses the Euclidean norm over vectors along dimension :math:`1` for normalization. Args: input: input tensor of any shape p (float): the exponent value in the norm formulation. Default: 2 dim (int): the dimension to reduce. Default: 1 eps (float): small value to avoid division by zero. Default: 1e-12 out (Tensor, optional): the output tensor. If :attr:`out` is used, this operation won't be differentiable. """ if out is None: denom = input.norm(p, dim, True).clamp_min(eps).expand_as(input) return input / denom else: denom = input.norm(p, dim, True).clamp_min(eps).expand_as(input) return torch.div(input, denom, out=out)
def assert_int_or_pair(arg, arg_name, message): assert isinstance(arg, int) or len(arg) == 2, message.format(arg_name)
[docs]def unfold(input, kernel_size, dilation=1, padding=0, stride=1): # type: (Tensor, BroadcastingList2[int], BroadcastingList2[int], BroadcastingList2[int], BroadcastingList2[int]) -> Tensor # noqa r"""Extracts sliding local blocks from an batched input tensor. .. warning:: Currently, only 4-D input tensors (batched image-like tensors) are supported. .. warning:: More than one element of the unfolded tensor may refer to a single memory location. As a result, in-place operations (especially ones that are vectorized) may result in incorrect behavior. If you need to write to the tensor, please clone it first. See :class:`torch.nn.Unfold` for details """ if input.dim() == 4: msg = '{} must be int or 2-tuple for 4D input' assert_int_or_pair(kernel_size, 'kernel_size', msg) assert_int_or_pair(dilation, 'dilation', msg) assert_int_or_pair(padding, 'padding', msg) assert_int_or_pair(stride, 'stride', msg) return torch._C._nn.im2col(input, _pair(kernel_size), _pair(dilation), _pair(padding), _pair(stride)) else: raise NotImplementedError("Input Error: Only 4D input Tensors are supported (got {}D)".format(input.dim()))
[docs]def fold(input, output_size, kernel_size, dilation=1, padding=0, stride=1): # type: (Tensor, BroadcastingList2[int], BroadcastingList2[int], BroadcastingList2[int], BroadcastingList2[int], BroadcastingList2[int]) -> Tensor # noqa r"""Combines an array of sliding local blocks into a large containing tensor. .. warning:: Currently, only 4-D output tensors (batched image-like tensors) are supported. See :class:`torch.nn.Fold` for details """ if input.dim() == 3: msg = '{} must be int or 2-tuple for 3D input' assert_int_or_pair(output_size, 'output_size', msg) assert_int_or_pair(kernel_size, 'kernel_size', msg) assert_int_or_pair(dilation, 'dilation', msg) assert_int_or_pair(padding, 'padding', msg) assert_int_or_pair(stride, 'stride', msg) return torch._C._nn.col2im(input, _pair(output_size), _pair(kernel_size), _pair(dilation), _pair(padding), _pair(stride)) else: raise NotImplementedError("Input Error: Only 3D input Tensors are supported (got {}D)".format(input.dim()))
def _pad_circular(input, padding): # type: (Tensor, List[int]) -> Tensor """ Arguments :param input: tensor of shape :math:`(N, C_{\text{in}}, H, [W, D]))` :param padding: (tuple): m-elem tuple where m is the degree of convolution Returns :return: tensor of shape :math:`(N, C_{\text{in}}, [D + 2 * padding[0], H + 2 * padding[1]], W + 2 * padding[2]))` """ input = torch.cat([input, input[:, :, 0:padding[-1]]], dim=2) input = torch.cat([input[:, :, -(padding[-1] + padding[-2]):-padding[-1]], input], dim=2) if len(padding) > 2: input = torch.cat([input, input[:, :, :, 0:padding[-3]]], dim=3) input = torch.cat([input[:, :, :, -(padding[-3] + padding[-4]):-padding[-3]], input], dim=3) if len(padding) > 4: input = torch.cat([input, input[:, :, :, :, 0:padding[-5]]], dim=4) input = torch.cat([input[:, :, :, :, -(padding[-5] + padding[-6]):-padding[-5]], input], dim=4) return input def multi_head_attention_forward(query, # type: Tensor key, # type: Tensor value, # type: Tensor embed_dim_to_check, # type: int num_heads, # type: int in_proj_weight, # type: Tensor in_proj_bias, # type: Tensor bias_k, # type: Optional[Tensor] bias_v, # type: Optional[Tensor] add_zero_attn, # type: bool dropout_p, # type: float out_proj_weight, # type: Tensor out_proj_bias, # type: Tensor training=True, # type: bool key_padding_mask=None, # type: Optional[Tensor] need_weights=True, # type: bool attn_mask=None, # type: Optional[Tensor] use_separate_proj_weight=False, # type: bool q_proj_weight=None, # type: Optional[Tensor] k_proj_weight=None, # type: Optional[Tensor] v_proj_weight=None, # type: Optional[Tensor] static_k=None, # type: Optional[Tensor] static_v=None # type: Optional[Tensor] ): # type: (...) -> Tuple[Tensor, Optional[Tensor]] r""" Args: query, key, value: map a query and a set of key-value pairs to an output. See "Attention Is All You Need" for more details. embed_dim_to_check: total dimension of the model. num_heads: parallel attention heads. in_proj_weight, in_proj_bias: input projection weight and bias. bias_k, bias_v: bias of the key and value sequences to be added at dim=0. add_zero_attn: add a new batch of zeros to the key and value sequences at dim=1. dropout_p: probability of an element to be zeroed. out_proj_weight, out_proj_bias: the output projection weight and bias. training: apply dropout if is ``True``. key_padding_mask: if provided, specified padding elements in the key will be ignored by the attention. This is an binary mask. When the value is True, the corresponding value on the attention layer will be filled with -inf. need_weights: output attn_output_weights. attn_mask: mask that prevents attention to certain positions. This is an additive mask (i.e. the values will be added to the attention layer). use_separate_proj_weight: the function accept the proj. weights for query, key, and value in different forms. If false, in_proj_weight will be used, which is a combination of q_proj_weight, k_proj_weight, v_proj_weight. q_proj_weight, k_proj_weight, v_proj_weight, in_proj_bias: input projection weight and bias. static_k, static_v: static key and value used for attention operators. Shape: Inputs: - query: :math:`(L, N, E)` where L is the target sequence length, N is the batch size, E is the embedding dimension. - key: :math:`(S, N, E)`, where S is the source sequence length, N is the batch size, E is the embedding dimension. - value: :math:`(S, N, E)` where S is the source sequence length, N is the batch size, E is the embedding dimension. - key_padding_mask: :math:`(N, S)`, ByteTensor, where N is the batch size, S is the source sequence length. - attn_mask: :math:`(L, S)` where L is the target sequence length, S is the source sequence length. - static_k: :math:`(N*num_heads, S, E/num_heads)`, where S is the source sequence length, N is the batch size, E is the embedding dimension. E/num_heads is the head dimension. - static_v: :math:`(N*num_heads, S, E/num_heads)`, where S is the source sequence length, N is the batch size, E is the embedding dimension. E/num_heads is the head dimension. Outputs: - attn_output: :math:`(L, N, E)` where L is the target sequence length, N is the batch size, E is the embedding dimension. - attn_output_weights: :math:`(N, L, S)` where N is the batch size, L is the target sequence length, S is the source sequence length. """ tgt_len, bsz, embed_dim = query.size() assert embed_dim == embed_dim_to_check assert key.size() == value.size() head_dim = embed_dim // num_heads assert head_dim * num_heads == embed_dim, "embed_dim must be divisible by num_heads" scaling = float(head_dim) ** -0.5 if not use_separate_proj_weight: if torch.equal(query, key) and torch.equal(key, value): # self-attention q, k, v = linear(query, in_proj_weight, in_proj_bias).chunk(3, dim=-1) elif torch.equal(key, value): # encoder-decoder attention # This is inline in_proj function with in_proj_weight and in_proj_bias _b = in_proj_bias _start = 0 _end = embed_dim _w = in_proj_weight[_start:_end, :] if _b is not None: _b = _b[_start:_end] q = linear(query, _w, _b) if key is None: assert value is None k = None v = None else: # This is inline in_proj function with in_proj_weight and in_proj_bias _b = in_proj_bias _start = embed_dim _end = None _w = in_proj_weight[_start:, :] if _b is not None: _b = _b[_start:] k, v = linear(key, _w, _b).chunk(2, dim=-1) else: # This is inline in_proj function with in_proj_weight and in_proj_bias _b = in_proj_bias _start = 0 _end = embed_dim _w = in_proj_weight[_start:_end, :] if _b is not None: _b = _b[_start:_end] q = linear(query, _w, _b) # This is inline in_proj function with in_proj_weight and in_proj_bias _b = in_proj_bias _start = embed_dim _end = embed_dim * 2 _w = in_proj_weight[_start:_end, :] if _b is not None: _b = _b[_start:_end] k = linear(key, _w, _b) # This is inline in_proj function with in_proj_weight and in_proj_bias _b = in_proj_bias _start = embed_dim * 2 _end = None _w = in_proj_weight[_start:, :] if _b is not None: _b = _b[_start:] v = linear(value, _w, _b) else: q_proj_weight_non_opt = torch.jit._unwrap_optional(q_proj_weight) len1, len2 = q_proj_weight_non_opt.size() assert len1 == embed_dim and len2 == query.size(-1) k_proj_weight_non_opt = torch.jit._unwrap_optional(k_proj_weight) len1, len2 = k_proj_weight_non_opt.size() assert len1 == embed_dim and len2 == key.size(-1) v_proj_weight_non_opt = torch.jit._unwrap_optional(v_proj_weight) len1, len2 = v_proj_weight_non_opt.size() assert len1 == embed_dim and len2 == value.size(-1) if in_proj_bias is not None: q = linear(query, q_proj_weight_non_opt, in_proj_bias[0:embed_dim]) k = linear(key, k_proj_weight_non_opt, in_proj_bias[embed_dim:(embed_dim * 2)]) v = linear(value, v_proj_weight_non_opt, in_proj_bias[(embed_dim * 2):]) else: q = linear(query, q_proj_weight_non_opt, in_proj_bias) k = linear(key, k_proj_weight_non_opt, in_proj_bias) v = linear(value, v_proj_weight_non_opt, in_proj_bias) q = q * scaling if bias_k is not None and bias_v is not None: if static_k is None and static_v is None: k = torch.cat([k, bias_k.repeat(1, bsz, 1)]) v = torch.cat([v, bias_v.repeat(1, bsz, 1)]) if attn_mask is not None: attn_mask = torch.cat([attn_mask, torch.zeros((attn_mask.size(0), 1), dtype=attn_mask.dtype, device=attn_mask.device)], dim=1) if key_padding_mask is not None: key_padding_mask = torch.cat( [key_padding_mask, torch.zeros((key_padding_mask.size(0), 1), dtype=key_padding_mask.dtype, device=key_padding_mask.device)], dim=1) else: assert static_k is None, "bias cannot be added to static key." assert static_v is None, "bias cannot be added to static value." else: assert bias_k is None assert bias_v is None q = q.contiguous().view(tgt_len, bsz * num_heads, head_dim).transpose(0, 1) if k is not None: k = k.contiguous().view(-1, bsz * num_heads, head_dim).transpose(0, 1) if v is not None: v = v.contiguous().view(-1, bsz * num_heads, head_dim).transpose(0, 1) if static_k is not None: assert static_k.size(0) == bsz * num_heads assert static_k.size(2) == head_dim k = static_k if static_v is not None: assert static_v.size(0) == bsz * num_heads assert static_v.size(2) == head_dim v = static_v src_len = k.size(1) if key_padding_mask is not None: assert key_padding_mask.size(0) == bsz assert key_padding_mask.size(1) == src_len if add_zero_attn: src_len += 1 k = torch.cat([k, torch.zeros((k.size(0), 1) + k.size()[2:], dtype=k.dtype, device=k.device)], dim=1) v = torch.cat([v, torch.zeros((v.size(0), 1) + v.size()[2:], dtype=v.dtype, device=v.device)], dim=1) if attn_mask is not None: attn_mask = torch.cat([attn_mask, torch.zeros((attn_mask.size(0), 1), dtype=attn_mask.dtype, device=attn_mask.device)], dim=1) if key_padding_mask is not None: key_padding_mask = torch.cat( [key_padding_mask, torch.zeros((key_padding_mask.size(0), 1), dtype=key_padding_mask.dtype, device=key_padding_mask.device)], dim=1) attn_output_weights = torch.bmm(q, k.transpose(1, 2)) assert list(attn_output_weights.size()) == [bsz * num_heads, tgt_len, src_len] if attn_mask is not None: attn_mask = attn_mask.unsqueeze(0) attn_output_weights += attn_mask if key_padding_mask is not None: attn_output_weights = attn_output_weights.view(bsz, num_heads, tgt_len, src_len) attn_output_weights = attn_output_weights.masked_fill( key_padding_mask.unsqueeze(1).unsqueeze(2), float('-inf'), ) attn_output_weights = attn_output_weights.view(bsz * num_heads, tgt_len, src_len) attn_output_weights = softmax( attn_output_weights, dim=-1) attn_output_weights = dropout(attn_output_weights, p=dropout_p, training=training) attn_output = torch.bmm(attn_output_weights, v) assert list(attn_output.size()) == [bsz * num_heads, tgt_len, head_dim] attn_output = attn_output.transpose(0, 1).contiguous().view(tgt_len, bsz, embed_dim) attn_output = linear(attn_output, out_proj_weight, out_proj_bias) if need_weights: # average attention weights over heads attn_output_weights = attn_output_weights.view(bsz, num_heads, tgt_len, src_len) return attn_output, attn_output_weights.sum(dim=1) / num_heads else: return attn_output, None

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