chore: import upstream snapshot with attribution
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# Copyright (c) 2022 PaddlePaddle Authors. All Rights Reserved.
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#
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# Licensed under the Apache License, Version 2.0 (the "License");
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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# http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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from __future__ import annotations
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import typing
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from typing import TYPE_CHECKING
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from paddle.distribution import distribution, independent, transform
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from paddle.utils.decorator_utils import param_one_alias
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if TYPE_CHECKING:
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from collections.abc import Sequence
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from paddle import Tensor
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from paddle.distribution.distribution import Distribution
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from paddle.distribution.transform import Transform
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class TransformedDistribution(distribution.Distribution):
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r"""
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Applies a sequence of Transforms to a base distribution.
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Args:
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base (Distribution): The base distribution.
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transforms (Sequence[Transform]): A sequence of ``Transform`` .
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Examples:
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.. code-block:: pycon
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>>> import paddle
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>>> paddle.seed(2023)
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>>> from paddle.distribution import transformed_distribution
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>>> d = transformed_distribution.TransformedDistribution(
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... paddle.distribution.Normal(0.0, 1.0),
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... [paddle.distribution.AffineTransform(paddle.to_tensor(1.0), paddle.to_tensor(2.0))],
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... )
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>>> # doctest: +SKIP('random sample')
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>>> print(d.sample([10]))
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Tensor(shape=[10], dtype=float32, place=Place(cpu), stop_gradient=True,
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[ 3.22699189, 1.12264419, 0.50283587, 1.83812487, -2.00740123,
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-2.70338631, 1.26663208, 4.47909021, -0.11529565, 4.32719326])
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>>> print(d.log_prob(paddle.to_tensor(0.5)))
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Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=True,
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-1.64333570)
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>>> # doctest: -SKIP
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"""
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base: Distribution
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transforms: Sequence[Transform]
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def __init__(
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self, base: Distribution, transforms: Sequence[Transform]
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) -> None:
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if not isinstance(base, distribution.Distribution):
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raise TypeError(
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f"Expected type of 'base' is Distribution, but got {type(base)}."
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)
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if not isinstance(transforms, typing.Sequence):
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raise TypeError(
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f"Expected type of 'transforms' is Sequence[Transform] or Chain, but got {type(transforms)}."
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)
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if not all(isinstance(t, transform.Transform) for t in transforms):
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raise TypeError("All element of transforms must be Transform type.")
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chain = transform.ChainTransform(transforms)
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base_shape = base.batch_shape + base.event_shape
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self._base = base
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self._transforms = transforms
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if not transforms:
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super().__init__(base.batch_shape, base.event_shape)
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return
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if len(base.batch_shape + base.event_shape) < chain._domain.event_rank:
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raise ValueError(
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f"'base' needs to have shape with size at least {chain._domain.event_rank}, bug got {len(base_shape)}."
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)
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if chain._domain.event_rank > len(base.event_shape):
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base = independent.Independent(
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base, chain._domain.event_rank - len(base.event_shape)
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)
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transformed_shape = chain.forward_shape(
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base.batch_shape + base.event_shape
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)
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transformed_event_rank = chain._codomain.event_rank + max(
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len(base.event_shape) - chain._domain.event_rank, 0
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)
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super().__init__(
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transformed_shape[
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: len(transformed_shape) - transformed_event_rank
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],
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transformed_shape[
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len(transformed_shape) - transformed_event_rank :
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],
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)
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@param_one_alias(["shape", "sample_shape"])
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def sample(self, shape: Sequence[int] = []) -> Tensor:
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"""Sample from ``TransformedDistribution``.
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Args:
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shape (Sequence[int], optional): The sample shape. Defaults to [].
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Returns:
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[Tensor]: The sample result.
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"""
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x = self._base.sample(shape)
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for t in self._transforms:
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x = t.forward(x)
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return x
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@param_one_alias(["shape", "sample_shape"])
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def rsample(self, shape: Sequence[int] = []) -> Tensor:
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"""Reparameterized sample from ``TransformedDistribution``.
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Args:
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shape (Sequence[int], optional): The sample shape. Defaults to [].
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Returns:
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[Tensor]: The sample result.
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"""
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x = self._base.rsample(shape)
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for t in self._transforms:
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x = t.forward(x)
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return x
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def log_prob(self, value: Tensor) -> Tensor:
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"""The log probability evaluated at value.
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Args:
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value (Tensor): The value to be evaluated.
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Returns:
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Tensor: The log probability.
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"""
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log_prob = 0.0
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y = value
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event_rank = len(self.event_shape)
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for t in reversed(self._transforms):
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x = t.inverse(y)
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event_rank += t._domain.event_rank - t._codomain.event_rank
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log_prob = log_prob - _sum_rightmost(
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t.forward_log_det_jacobian(x), event_rank - t._domain.event_rank
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)
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y = x
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log_prob += _sum_rightmost(
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self._base.log_prob(y), event_rank - len(self._base.event_shape)
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)
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return log_prob
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def _sum_rightmost(value: Tensor, n: int) -> Tensor:
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return value.sum(list(range(-n, 0))) if n > 0 else value
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