Relative Mutual Information

Definition

Based on Mutual Information, Relative Mutual Information is defined as:

IR(X,Y)=I(X,Y)H(X){I_R}\left( {X,Y} \right){\rm{ }} = {\rm{ }}{{I\left( {X,Y} \right)} \over {H\left( X \right)}}

Relative Mutual Information expresses in percent how much the entropy (or uncertainty) of XX is reduced by observing YY.

In older versions of BayesiaLab, Relative Mutual Information was also called Normalized Mutual Information.

Please see the up-to-date definition of Normalized Mutual Information.

Usage

  • BayesiaLab reports the Relative Mutual Information in the Target Analysis Report: Main Menu > Analysis > Report > Target > Relationship with Target Node.

  • Note that this table shows the Relative Mutual Information of each node, e.g., XRay, Dyspnea, etc., only with regard to the Target Node, Cancer.

  • The Relative Mutual Information can also be shown by selecting Main Menu > Analysis > Visual > Overall > Arc > Mutual Information and then clicking the Show Arc Comments icon or selecting Main Menu > View > Show Arc Comments.

  • Note that the corresponding options under Preferences > Analysis > Visual Analysis > Arc's Mutual Information Analysis have to be selected first:

  • In Preferences, Child refers to the Relative Mutual Information from the Parent onto the Child node, i.e., in the direction of the arc.

  • Conversely, Parent refers to the Relative Mutual Information from the Child onto the Parent node, i.e., in the opposite direction of the arc.

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