mxfusion.components.distributions.beta

Members

class mxfusion.components.distributions.beta.Beta(a, b, rand_gen=None, dtype=None, ctx=None)

Bases: mxfusion.components.distributions.univariate.UnivariateDistribution

The one-dimensional beta distribution. The beta distribution can be defined over a scalar random variable or an array of random variables. In case of an array of random variables, a and b are broadcasted to the shape of the output random variable (array).

Parameters:
  • a (Variable) – a parameter (alpha) of the beta distribution.
  • b (Variable) – b parameter (beta) of the beta distribution.
  • rand_gen (RandomGenerator) – the random generator (default: MXNetRandomGenerator).
  • dtype (numpy.float32 or numpy.float64) – the data type for float point numbers.
  • ctx (None or mxnet.cpu or mxnet.gpu) – the mxnet context (default: None/current context).
log_pdf(F, variables, targets=None)

Computes the logarithm of the probability density/mass function (PDF/PMF) of the distribution. The inputs and outputs variables are fetched from the variables argument according to their UUIDs.

Parameters:
  • F (mxnet.symbol or mxnet.ndarray) – the MXNet computation mode
  • variables – the set of MXNet arrays that holds the values of

variables at runtime. :type variables: {str(UUID): MXNet NDArray or MXNet Symbol} :returns: log pdf of the distribution :rtypes: MXNet NDArray or MXNet Symbol

draw_samples(F, variables, num_samples=1, always_return_tuple=False, targets=None)

Draw a set of samples from the distribution. The inputs variables are fetched from the variables argument according to their UUIDs.

Parameters:
  • F (mxnet.symbol or mxnet.ndarray) – the MXNet computation mode
  • variables – the set of MXNet arrays that holds the values of

variables at runtime. :type variables: {str(UUID): MXNet NDArray or MXNet Symbol} :param num_samples: the number of drawn samples (default: one) :int num_samples: int :param always_return_tuple: Whether return a tuple even if there is only one variables in outputs. :type always_return_tuple: boolean :returns: a set samples of the distribution :rtypes: MXNet NDArray or MXNet Symbol or [MXNet NDArray or MXNet Symbol]

static define_variable(a=1.0, b=1.0, shape=None, rand_gen=None, dtype=None, ctx=None)

Creates and returns a random variable drawn from a beta distribution.

Parameters:
  • a – The a parameter (alpha) of the distribution.
  • b – The b parameter (beta) of the distribution.
  • shape (tuple or [tuple]) – the shape of the random variable(s).
  • rand_gen (RandomGenerator) – the random generator (default: MXNetRandomGenerator).
  • dtype (numpy.float32 or numpy.float64) – the data type for float point numbers.
  • ctx (None or mxnet.cpu or mxnet.gpu) – the mxnet context (default: None/current context).
Returns:

the random variables drawn from the beta distribution.
Rtypes:

Variable