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/pareto.py (2057B)

class Pareto(TransformedDistribution):
    r"""
    Samples from a Pareto Type 1 distribution.

Example::

>>> m = Pareto(torch.tensor([1.0]), torch.tensor([1.0]))
        >>> m.sample()  # sample from a Pareto distribution with scale=1 and alpha=1
        tensor([ 1.5623])

Args:
        scale (float or Tensor): Scale parameter of the distribution
        alpha (float or Tensor): Shape parameter of the distribution
    """
    arg_constraints = {'alpha': constraints.positive, 'scale': constraints.positive}

def __init__(self, scale, alpha, validate_args=None):
        self.scale, self.alpha = broadcast_all(scale, alpha)
        base_dist = Exponential(self.alpha, validate_args=validate_args)
        transforms = [ExpTransform(), AffineTransform(loc=0, scale=self.scale)]
        super(Pareto, self).__init__(base_dist, transforms, validate_args=validate_args)

def expand(self, batch_shape, _instance=None):
        new = self._get_checked_instance(Pareto, _instance)
        new.scale = self.scale.expand(batch_shape)
        new.alpha = self.alpha.expand(batch_shape)
        return super(Pareto, self).expand(batch_shape, _instance=new)

@property
    def mean(self):
        # mean is inf for alpha <= 1
        a = self.alpha.clamp(min=1)
        return a * self.scale / (a - 1)

@property
    def variance(self):
        # var is inf for alpha <= 2
        a = self.alpha.clamp(min=2)
        return self.scale.pow(2) * a / ((a - 1).pow(2) * (a - 2))

@constraints.dependent_property(is_discrete=False, event_dim=0)
    def support(self):
        return constraints.greater_than(self.scale)

def entropy(self):
        return ((self.scale / self.alpha).log() + (1 + self.alpha.reciprocal()))

from torch.distributions import constraints from torch.distributions.exponential import Exponential from torch.distributions.transformed_distribution import TransformedDistribution from torch.distributions.transforms import AffineTransform, ExpTransform from torch.distributions.utils import broadcast_all class Pareto(TransformedDistribution): r""" Samples from a Pareto Type 1 distribution. Example:: >>> m = Pareto(torch.tensor([1.0]), torch.tensor([1.0])) >>> m.sample() # sample from a Pareto distribution with scale=1 and alpha=1 tensor([ 1.5623]) Args: scale (float or Tensor): Scale parameter of the distribution alpha (float or Tensor): Shape parameter of the distribution """ arg_constraints = {'alpha': constraints.positive, 'scale': constraints.positive} def __init__(self, scale, alpha, validate_args=None): self.scale, self.alpha = broadcast_all(scale, alpha) base_dist = Exponential(self.alpha, validate_args=validate_args) transforms = [ExpTransform(), AffineTransform(loc=0, scale=self.scale)] super(Pareto, self).__init__(base_dist, transforms, validate_args=validate_args) def expand(self, batch_shape, _instance=None): new = self._get_checked_instance(Pareto, _instance) new.scale = self.scale.expand(batch_shape) new.alpha = self.alpha.expand(batch_shape) return super(Pareto, self).expand(batch_shape, _instance=new) @property def mean(self): # mean is inf for alpha <= 1 a = self.alpha.clamp(min=1) return a * self.scale / (a - 1) @property def variance(self): # var is inf for alpha <= 2 a = self.alpha.clamp(min=2) return self.scale.pow(2) * a / ((a - 1).pow(2) * (a - 2)) @constraints.dependent_property(is_discrete=False, event_dim=0) def support(self): return constraints.greater_than(self.scale) def entropy(self): return ((self.scale / self.alpha).log() + (1 + self.alpha.reciprocal()))