mutual_info: Mutual information

In bnmonitor: An Implementation of Sensitivity Analysis in Bayesian Networks

Mutual information

Description

Computation of the mutual information in a Bayesian network

Usage

mutual_info(bnfit, node)

Arguments

bnfit	object of class bn.fit.
node	a node of bnfit.

Details

The mutual information between two variables X_j and X_i with sample spaces \mathcal{X}_i and \mathcal{X}_j, respectively, is equal to

\sum_{x_j\in\mathcal{X}_j}\sum_{x_i\in\mathcal{X}_i}p(x_i,x_j)\log\frac{p(x_i,x_j)}{p(x_i)p(x_j)}.

Value

A dataframe with the following columns: Nodes - the vertices of the BN; MutualInfo - the mutual information of the corresponding node.

References

Albrecht, D., Nicholson, A. E., & Whittle, C. (2014). Structural sensitivity for the knowledge engineering of Bayesian networks. In Probabilistic Graphical Models (pp. 1-16). Springer International Publishing.

See Also

ewi, dwi

Examples

mutual_info(travel, "T")

bnmonitor documentation built on Sept. 30, 2024, 9:31 a.m.