# bayespy.nodes.GaussianARD¶

class bayespy.nodes.GaussianARD(mu, alpha, ndim=None, shape=None, **kwargs)[source]

Node for Gaussian variables with ARD prior.

The node represents a -dimensional vector from the Gaussian distribution:

where is the mean vector and is the diagonal precision matrix (i.e., inverse of the covariance matrix).

Note: The form of the posterior approximation is a Gaussian distribution with full covariance matrix instead of a diagonal matrix.

Parameters: mu : Gaussian-like node or GaussianGamma-like node or array Mean vector alpha : gamma-like node or array Diagonal elements of the precision matrix
__init__(mu, alpha, ndim=None, shape=None, **kwargs)[source]

Create GaussianARD node.

Methods

 __init__(mu, alpha[, ndim, shape]) Create GaussianARD node. add_plate_axis(to_plate) broadcasting_multiplier(*args) delete() Delete this node and the children get_gradient(rg) Computes gradient with respect to the natural parameters. get_mask() get_moments() get_parameters() Return parameters of the VB distribution. get_pdf_nodes() get_riemannian_gradient() Computes the Riemannian/natural gradient. get_shape(ind) has_plotter() Return True if the node has a plotter initialize_from_mean_and_covariance(mu, Cov) initialize_from_parameters(mu, alpha) initialize_from_prior() initialize_from_random() Set the variable to a random sample from the current distribution. initialize_from_value(x, *args) load(filename) logpdf(X[, mask]) Compute the log probability density function Q(X) of this node. lower_bound_contribution([gradient, …]) Compute E[ log p(X|parents) - log q(X) ] lowerbound() move_plates(from_plate, to_plate) observe(x, *args[, mask]) Fix moments, compute f and propagate mask. pdf(X[, mask]) Compute the probability density function of this node. plot([fig]) Plot the node distribution using the plotter of the node random() Draw a random sample from the distribution. rotate(R[, inv, logdet, axis, Q, subset, debug]) rotate_plates(Q[, plate_axis]) Approximate rotation of a plate axis. save(filename) set_parameters(x) Set the parameters of the VB distribution. set_plotter(plotter) show() Print the distribution using standard parameterization. translate(b[, debug]) Transforms the current posterior by adding a bias to the mean unobserve() update([annealing])

Attributes

 dims plates plates_multiplier Plate multiplier is applied to messages to parents