Random Distribution Generator Symbol API

Overview

This document lists the random distribution generator routines of the symbolic expression package:

mxnet.symbol.random Random distribution generator Symbol API of MXNet.

The Random Distribution Generator Symbol API, defined in the symbol.random package, provides symbolic expressions for random distribution generator routines.

In the rest of this document, we list routines provided by the symbol.random package.

Random Distribution Generator

exponential Draw samples from an exponential distribution.
gamma Draw random samples from a gamma distribution.
generalized_negative_binomial Draw random samples from a generalized negative binomial distribution.
negative_binomial Draw random samples from a negative binomial distribution.
normal Draw random samples from a normal (Gaussian) distribution.
poisson Draw random samples from a Poisson distribution.
uniform Draw random samples from a uniform distribution.
mxnet.random.seed Seeds the random number generators in MXNet.

API Reference

Random distribution generator Symbol API of MXNet.

mxnet.symbol.random.uniform(low=0, high=1, shape=_Null, dtype=_Null, **kwargs)

Draw random samples from a uniform distribution.

Samples are uniformly distributed over the half-open interval [low, high) (includes low, but excludes high).

Parameters:
  • low (float or Symbol) – Lower boundary of the output interval. All values generated will be greater than or equal to low. The default value is 0.
  • high (float or Symbol) – Upper boundary of the output interval. All values generated will be less than high. The default value is 1.0.
  • shape (int or tuple of ints) – The number of samples to draw. If shape is, e.g., (m, n) and low and high are scalars, output shape will be (m, n). If low and high are Symbols with shape, e.g., (x, y), then output will have shape (x, y, m, n), where m*n samples are drawn for each [low, high) pair.
  • dtype ({'float16','float32', 'float64'}) – Data type of output samples. Default is ‘float32’
mxnet.symbol.random.normal(loc=0, scale=1, shape=_Null, dtype=_Null, **kwargs)

Draw random samples from a normal (Gaussian) distribution.

Samples are distributed according to a normal distribution parametrized by loc (mean) and scale (standard deviation).

Parameters:
  • loc (float or Symbol) – Mean (centre) of the distribution.
  • scale (float or Symbol) – Standard deviation (spread or width) of the distribution.
  • shape (int or tuple of ints) – The number of samples to draw. If shape is, e.g., (m, n) and loc and scale are scalars, output shape will be (m, n). If loc and scale are Symbols with shape, e.g., (x, y), then output will have shape (x, y, m, n), where m*n samples are drawn for each [loc, scale) pair.
  • dtype ({'float16','float32', 'float64'}) – Data type of output samples. Default is ‘float32’
mxnet.symbol.random.poisson(lam=1, shape=_Null, dtype=_Null, **kwargs)

Draw random samples from a Poisson distribution.

Samples are distributed according to a Poisson distribution parametrized by lambda (rate). Samples will always be returned as a floating point data type.

Parameters:
  • lam (float or Symbol) – Expectation of interval, should be >= 0.
  • shape (int or tuple of ints) – The number of samples to draw. If shape is, e.g., (m, n) and lam is a scalar, output shape will be (m, n). If lam is an Symbol with shape, e.g., (x, y), then output will have shape (x, y, m, n), where m*n samples are drawn for each entry in lam.
  • dtype ({'float16','float32', 'float64'}) – Data type of output samples. Default is ‘float32’
mxnet.symbol.random.exponential(scale=1, shape=_Null, dtype=_Null, **kwargs)

Draw samples from an exponential distribution.

Its probability density function is

f(x; frac{1}{beta}) = frac{1}{beta} exp(-frac{x}{beta}),

for x > 0 and 0 elsewhere. beta is the scale parameter, which is the inverse of the rate parameter lambda = 1/beta.

Parameters:
  • scale (float or Symbol) – The scale parameter, beta = 1/lambda.
  • shape (int or tuple of ints) – The number of samples to draw. If shape is, e.g., (m, n) and scale is a scalar, output shape will be (m, n). If scale is an Symbol with shape, e.g., (x, y), then output will have shape (x, y, m, n), where m*n samples are drawn for each entry in scale.
  • dtype ({'float16','float32', 'float64'}) – Data type of output samples. Default is ‘float32’
mxnet.symbol.random.gamma(alpha=1, beta=1, shape=_Null, dtype=_Null, **kwargs)

Draw random samples from a gamma distribution.

Samples are distributed according to a gamma distribution parametrized by alpha (shape) and beta (scale).

Parameters:
  • alpha (float or Symbol) – The shape of the gamma distribution. Should be greater than zero.
  • beta (float or Symbol) – The scale of the gamma distribution. Should be greater than zero. Default is equal to 1.
  • shape (int or tuple of ints) – The number of samples to draw. If shape is, e.g., (m, n) and alpha and beta are scalars, output shape will be (m, n). If alpha and beta are Symbols with shape, e.g., (x, y), then output will have shape (x, y, m, n), where m*n samples are drawn for each [alpha, beta) pair.
  • dtype ({'float16','float32', 'float64'}) – Data type of output samples. Default is ‘float32’
mxnet.symbol.random.negative_binomial(k=1, p=1, shape=_Null, dtype=_Null, **kwargs)

Draw random samples from a negative binomial distribution.

Samples are distributed according to a negative binomial distribution parametrized by k (limit of unsuccessful experiments) and p (failure probability in each experiment). Samples will always be returned as a floating point data type.

Parameters:
  • k (float or Symbol) – Limit of unsuccessful experiments, > 0.
  • p (float or Symbol) – Failure probability in each experiment, >= 0 and <=1.
  • shape (int or tuple of ints) – The number of samples to draw. If shape is, e.g., (m, n) and k and p are scalars, output shape will be (m, n). If k and p are Symbols with shape, e.g., (x, y), then output will have shape (x, y, m, n), where m*n samples are drawn for each [k, p) pair.
  • dtype ({'float16','float32', 'float64'}) – Data type of output samples. Default is ‘float32’
mxnet.symbol.random.generalized_negative_binomial(mu=1, alpha=1, shape=_Null, dtype=_Null, **kwargs)

Draw random samples from a generalized negative binomial distribution.

Samples are distributed according to a generalized negative binomial distribution parametrized by mu (mean) and alpha (dispersion). alpha is defined as 1/k where k is the failure limit of the number of unsuccessful experiments (generalized to real numbers). Samples will always be returned as a floating point data type.

Parameters:
  • mu (float or Symbol) – Mean of the negative binomial distribution.
  • alpha (float or Symbol) – Alpha (dispersion) parameter of the negative binomial distribution.
  • shape (int or tuple of ints) – The number of samples to draw. If shape is, e.g., (m, n) and mu and alpha are scalars, output shape will be (m, n). If mu and alpha are Symbols with shape, e.g., (x, y), then output will have shape (x, y, m, n), where m*n samples are drawn for each [mu, alpha) pair.
  • dtype ({'float16','float32', 'float64'}) – Data type of output samples. Default is ‘float32’
mxnet.symbol.random.multinomial(data, shape=_Null, get_prob=True, **kwargs)

Concurrent sampling from multiple multinomial distributions.

Note

The input distribution must be normalized, i.e. data must sum to 1 along its last dimension.

Parameters:
  • data (Symbol) – An n dimensional array whose last dimension has length k, where k is the number of possible outcomes of each multinomial distribution. For example, data with shape (m, n, k) specifies m*n multinomial distributions each with k possible outcomes.
  • shape (int or tuple of ints) – The number of samples to draw from each distribution. If shape is empty one sample will be drawn from each distribution.
  • get_prob (bool) – If true, a second array containing log likelihood of the drawn samples will also be returned. This is usually used for reinforcement learning, where you can provide reward as head gradient w.r.t. this array to estimate gradient.

Random number interface of MXNet.

mxnet.random.seed(seed_state)

Seeds the random number generators in MXNet.

This affects the behavior of modules in MXNet that uses random number generators, like the dropout operator and NDArray‘s random sampling operators.

Parameters:seed_state (int) – The random number seed to set to all devices.

Notes

Random number generators in MXNet are device specific. Therefore, random numbers generated from two devices can be different even if they are seeded using the same seed.

Example

>>> print(mx.nd.random.normal(shape=(2,2)).asnumpy())
[[ 1.36481571 -0.62203991]
 [-1.4962182  -0.08511394]]
>>> print(mx.nd.random.normal(shape=(2,2)).asnumpy())
[[ 1.09544981 -0.20014545]
 [-0.20808885  0.2527658 ]]
>>>
>>> mx.random.seed(128)
>>> print(mx.nd.random.normal(shape=(2,2)).asnumpy())
[[ 0.47400656 -0.75213492]
 [ 0.20251541  0.95352972]]
>>> mx.random.seed(128)
>>> print(mx.nd.random.normal(shape=(2,2)).asnumpy())
[[ 0.47400656 -0.75213492]
 [ 0.20251541  0.95352972]]