FM / distributions

/usr/local/lib64/python3.6/site-packages/torch/distributions/

/usr/local/lib64/python3.6/site-packages/torch/distributions

Name	Size	Mode	Actions
__pycache__/	-	0755	rm
bernoulli.py	3904	0644	edit dl rm
beta.py	3406	0644	edit dl rm
binomial.py	5179	0644	edit dl rm
categorical.py	5488	0644	edit dl rm
cauchy.py	2714	0644	edit dl rm
chi2.py	909	0644	edit dl rm
constraints.py	17288	0644	edit dl rm
constraint_registry.py	10234	0644	edit dl rm
continuous_bernoulli.py	8532	0644	edit dl rm
dirichlet.py	3584	0644	edit dl rm
distribution.py	11735	0644	edit dl rm
exponential.py	2525	0644	edit dl rm
exp_family.py	2275	0644	edit dl rm
fishersnedecor.py	3152	0644	edit dl rm
gamma.py	3121	0644	edit dl rm
geometric.py	4266	0644	edit dl rm
gumbel.py	2528	0644	edit dl rm
half_cauchy.py	2257	0644	edit dl rm
half_normal.py	2058	0644	edit dl rm
independent.py	4361	0644	edit dl rm
kl.py	29998	0644	edit dl rm
kumaraswamy.py	2927	0644	edit dl rm
laplace.py	3054	0644	edit dl rm
lkj_cholesky.py	6124	0644	edit dl rm
logistic_normal.py	1983	0644	edit dl rm
log_normal.py	1772	0644	edit dl rm
lowrank_multivariate_normal.py	9930	0644	edit dl rm
mixture_same_family.py	8636	0644	edit dl rm
multinomial.py	4776	0644	edit dl rm
multivariate_normal.py	10548	0644	edit dl rm
negative_binomial.py	4091	0644	edit dl rm
normal.py	3351	0644	edit dl rm
one_hot_categorical.py	4375	0644	edit dl rm
pareto.py	2057	0644	edit dl rm
poisson.py	2066	0644	edit dl rm
relaxed_bernoulli.py	5360	0644	edit dl rm
relaxed_categorical.py	5202	0644	edit dl rm
studentT.py	3550	0644	edit dl rm
transformed_distribution.py	8270	0644	edit dl rm
transforms.py	38408	0644	edit dl rm
uniform.py	3112	0644	edit dl rm
utils.py	6196	0644	edit dl rm
von_mises.py	5091	0644	edit dl rm
weibull.py	2854	0644	edit dl rm
__init__.py	5884	0644	edit dl rm

Edit: /usr/local/lib64/python3.6/site-packages/torch/distributions/cauchy.py (2714B)

import math
from torch._six import inf, nan
from numbers import Number

import torch
from torch.distributions import constraints
from torch.distributions.distribution import Distribution
from torch.distributions.utils import broadcast_all

class Cauchy(Distribution):
    r"""
    Samples from a Cauchy (Lorentz) distribution. The distribution of the ratio of
    independent normally distributed random variables with means `0` follows a
    Cauchy distribution.

Example::

>>> m = Cauchy(torch.tensor([0.0]), torch.tensor([1.0]))
        >>> m.sample()  # sample from a Cauchy distribution with loc=0 and scale=1
        tensor([ 2.3214])

Args:
        loc (float or Tensor): mode or median of the distribution.
        scale (float or Tensor): half width at half maximum.
    """
    arg_constraints = {'loc': constraints.real, 'scale': constraints.positive}
    support = constraints.real
    has_rsample = True

def __init__(self, loc, scale, validate_args=None):
        self.loc, self.scale = broadcast_all(loc, scale)
        if isinstance(loc, Number) and isinstance(scale, Number):
            batch_shape = torch.Size()
        else:
            batch_shape = self.loc.size()
        super(Cauchy, self).__init__(batch_shape, validate_args=validate_args)

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

@property
    def mean(self):
        return torch.full(self._extended_shape(), nan, dtype=self.loc.dtype, device=self.loc.device)

@property
    def variance(self):
        return torch.full(self._extended_shape(), inf, dtype=self.loc.dtype, device=self.loc.device)

def rsample(self, sample_shape=torch.Size()):
        shape = self._extended_shape(sample_shape)
        eps = self.loc.new(shape).cauchy_()
        return self.loc + eps * self.scale

def log_prob(self, value):
        if self._validate_args:
            self._validate_sample(value)
        return -math.log(math.pi) - self.scale.log() - (1 + ((value - self.loc) / self.scale)**2).log()

def cdf(self, value):
        if self._validate_args:
            self._validate_sample(value)
        return torch.atan((value - self.loc) / self.scale) / math.pi + 0.5

def icdf(self, value):
        return torch.tan(math.pi * (value - 0.5)) * self.scale + self.loc

def entropy(self):
        return math.log(4 * math.pi) + self.scale.log()

import math from torch._six import inf, nan from numbers import Number import torch from torch.distributions import constraints from torch.distributions.distribution import Distribution from torch.distributions.utils import broadcast_all class Cauchy(Distribution): r""" Samples from a Cauchy (Lorentz) distribution. The distribution of the ratio of independent normally distributed random variables with means `0` follows a Cauchy distribution. Example:: >>> m = Cauchy(torch.tensor([0.0]), torch.tensor([1.0])) >>> m.sample() # sample from a Cauchy distribution with loc=0 and scale=1 tensor([ 2.3214]) Args: loc (float or Tensor): mode or median of the distribution. scale (float or Tensor): half width at half maximum. """ arg_constraints = {'loc': constraints.real, 'scale': constraints.positive} support = constraints.real has_rsample = True def __init__(self, loc, scale, validate_args=None): self.loc, self.scale = broadcast_all(loc, scale) if isinstance(loc, Number) and isinstance(scale, Number): batch_shape = torch.Size() else: batch_shape = self.loc.size() super(Cauchy, self).__init__(batch_shape, validate_args=validate_args) def expand(self, batch_shape, _instance=None): new = self._get_checked_instance(Cauchy, _instance) batch_shape = torch.Size(batch_shape) new.loc = self.loc.expand(batch_shape) new.scale = self.scale.expand(batch_shape) super(Cauchy, new).__init__(batch_shape, validate_args=False) new._validate_args = self._validate_args return new @property def mean(self): return torch.full(self._extended_shape(), nan, dtype=self.loc.dtype, device=self.loc.device) @property def variance(self): return torch.full(self._extended_shape(), inf, dtype=self.loc.dtype, device=self.loc.device) def rsample(self, sample_shape=torch.Size()): shape = self._extended_shape(sample_shape) eps = self.loc.new(shape).cauchy_() return self.loc + eps * self.scale def log_prob(self, value): if self._validate_args: self._validate_sample(value) return -math.log(math.pi) - self.scale.log() - (1 + ((value - self.loc) / self.scale)**2).log() def cdf(self, value): if self._validate_args: self._validate_sample(value) return torch.atan((value - self.loc) / self.scale) / math.pi + 0.5 def icdf(self, value): return torch.tan(math.pi * (value - 0.5)) * self.scale + self.loc def entropy(self): return math.log(4 * math.pi) + self.scale.log()