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mindspore.nn.probability.distribution.Geometric

class mindspore.nn.probability.distribution.Geometric(probs=None, seed=None, dtype=mstype.int32, name='Geometric')

Geometric Distribution. A Geometric Distribution is a discrete distribution with the range as the non-negative integers, and the probability mass function as $P(X=i)=p(1-p{)}^{i-1},i=1,2,...$. It represents that there are k failures before the first success, namely that there are in total k+1 Bernoulli trials when the first success is achieved.

Parameters

• probs (float, list, numpy.ndarray, Tensor) – The probability of success. Default: None.

• seed (int) – The seed used in sampling. Global seed is used if it is None. Default: None.

• dtype (mindspore.dtype) – The type of the event samples. Default: mstype.int32.

• name (str) – The name of the distribution. Default: ‘Geometric’.

Inputs and Outputs of APIs:

The accessible APIs of the Geometric distribution are defined in the base class, including:

• prob, log_prob, cdf, log_cdf, survival_function, and log_survival

• mean, sd, mode, var, and entropy

• kl_loss and cross_entropy

• sample

For more details of all APIs, including the inputs and outputs of all APIs of the Geometric distribution, please refer to mindspore.nn.probability.distribution.Distribution, and examples below.

Supported Platforms:

Ascend GPU

Note

probs must be a proper probability (0 < p < 1). dist_spec_args is probs.

Raises

ValueError – When p <= 0 or p >= 1.

Examples

>>> import mindspore
>>> import mindspore.nn as nn
>>> import mindspore.nn.probability.distribution as msd
>>> from mindspore import Tensor
>>> # To initialize a Geometric distribution of the probability 0.5.
>>> g1 = msd.Geometric(0.5, dtype=mindspore.int32)
>>> # A Geometric distribution can be initialized without arguments.
>>> # In this case, `probs` must be passed in through arguments during function calls.
>>> g2 = msd.Geometric(dtype=mindspore.int32)
>>>
>>> # Here are some tensors used below for testing
>>> value = Tensor([1, 0, 1], dtype=mindspore.int32)
>>> probs_a = Tensor([0.6], dtype=mindspore.float32)
>>> probs_b = Tensor([0.2, 0.5, 0.4], dtype=mindspore.float32)
>>>
>>> # Private interfaces of probability functions corresponding to public interfaces, including
>>> # `prob`, `log_prob`, `cdf`, `log_cdf`, `survival_function`, and `log_survival`,
>>> # have the same arguments as follows.
>>> # Args:
>>> #     value (Tensor): the value to be evaluated.
>>> #     probs1 (Tensor): the probability of success of a Bernoulli trial. Default: self.probs.
>>> # Examples of `prob`.
>>> # Similar calls can be made to other probability functions
>>> # by replacing `prob` by the name of the function.
>>> ans = g1.prob(value)
>>> print(ans.shape)
(3,)
>>> # Evaluate with respect to distribution b.
>>> ans = g1.prob(value, probs_b)
>>> print(ans.shape)
(3,)
>>> # `probs` must be passed in during function calls.
>>> ans = g2.prob(value, probs_a)
>>> print(ans.shape)
(3,)
>>> # Functions `mean`, `sd`, `var`, and `entropy` have the same arguments.
>>> # Args:
>>> #     probs1 (Tensor): the probability of success of a Bernoulli trial. Default: self.probs.
>>> # Examples of `mean`. `sd`, `var`, and `entropy` are similar.
>>> ans = g1.mean() # return 1.0
>>> print(ans.shape)
()
>>> ans = g1.mean(probs_b)
>>> print(ans.shape)
(3,)
>>> # Probs must be passed in during function calls
>>> ans = g2.mean(probs_a)
>>> print(ans.shape)
(1,)
>>> # Interfaces of 'kl_loss' and 'cross_entropy' are the same.
>>> # Args:
>>> #     dist (str): the name of the distribution. Only 'Geometric' is supported.
>>> #     probs1_b (Tensor): the probability of success of a Bernoulli trial of distribution b.
>>> #     probs1_a (Tensor): the probability of success of a Bernoulli trial of distribution a.
>>> # Examples of `kl_loss`. `cross_entropy` is similar.
>>> ans = g1.kl_loss('Geometric', probs_b)
>>> print(ans.shape)
(3,)
>>> ans = g1.kl_loss('Geometric', probs_b, probs_a)
>>> print(ans.shape)
(3,)
>>> # An additional `probs` must be passed in.
>>> ans = g2.kl_loss('Geometric', probs_b, probs_a)
>>> print(ans.shape)
(3,)
>>> # Examples of `sample`.
>>> # Args:
>>> #     shape (tuple): the shape of the sample. Default: ()
>>> #     probs1 (Tensor): the probability of success of a Bernoulli trial. Default: self.probs.
>>> ans = g1.sample()
>>> print(ans.shape)
()
>>> ans = g1.sample((2,3))
>>> print(ans.shape)
(2, 3)
>>> ans = g1.sample((2,3), probs_b)
>>> print(ans.shape)
(2, 3, 3)
>>> ans = g2.sample((2,3), probs_a)
>>> print(ans.shape)
(2, 3, 1)

extend_repr()

Display instance object as string.

property probs

Return the probability of success of the Bernoulli trial, after casting to dtype.

Output:

Tensor, the probs parameter of the distribution.