torch.distributions.beta 的源代码

from numbers import Number, Real

import torch
from torch.distributions import constraints
from torch.distributions.dirichlet import Dirichlet
from torch.distributions.exp_family import ExponentialFamily
from torch.distributions.utils import broadcast_all

__all__ = ["Beta"]


class Beta(ExponentialFamily):
    r"""
    Beta分布由 :attr:`concentration1` 和 :attr:`concentration0` 参数化。

    示例::

        >>> # xdoctest: +IGNORE_WANT("非确定性")
        >>> m = Beta(torch.tensor([0.5]), torch.tensor([0.5]))
        >>> m.sample()  # 具有浓度 concentration1 和 concentration0 的 Beta 分布
        tensor([ 0.1046])

    参数:
        concentration1 (float 或 Tensor): 分布的第一个浓度参数
            (通常称为 alpha)
        concentration0 (float 或 Tensor): 分布的第二个浓度参数
            (通常称为 beta)
    """
    arg_constraints = {
        "concentration1": constraints.positive,
        "concentration0": constraints.positive,
    }
    support = constraints.unit_interval
    has_rsample = True

    def __init__(self, concentration1, concentration0, validate_args=None):
        if isinstance(concentration1, Real) and isinstance(concentration0, Real):
            concentration1_concentration0 = torch.tensor(
                [float(concentration1), float(concentration0)]
            )
        else:
            concentration1, concentration0 = broadcast_all(
                concentration1, concentration0
            )
            concentration1_concentration0 = torch.stack(
                [concentration1, concentration0], -1
            )
        self._dirichlet = Dirichlet(
            concentration1_concentration0, validate_args=validate_args
        )
        super().__init__(self._dirichlet._batch_shape, validate_args=validate_args)

    def expand(self, batch_shape, _instance=None):
        new = self._get_checked_instance(Beta, _instance)
        batch_shape = torch.Size(batch_shape)
        new._dirichlet = self._dirichlet.expand(batch_shape)
        super(Beta, new).__init__(batch_shape, validate_args=False)
        new._validate_args = self._validate_args
        return new

    @property
    def mean(self):
        return self.concentration1 / (self.concentration1 + self.concentration0)

    @property
    def mode(self):
        return self._dirichlet.mode[..., 0]

    @property
    def variance(self):
        total = self.concentration1 + self.concentration0
        return self.concentration1 * self.concentration0 / (total.pow(2) * (total + 1))

    def rsample(self, sample_shape=()):
        return self._dirichlet.rsample(sample_shape).select(-1, 0)

    def log_prob(self, value):
        if self._validate_args:
            self._validate_sample(value)
        heads_tails = torch.stack([value, 1.0 - value], -1)
        return self._dirichlet.log_prob(heads_tails)

    def entropy(self):
        return self._dirichlet.entropy()

    @property
    def concentration1(self<span class="p