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Influence Analysis Wrt Traget Node

Influence Analysis wrt Target Node

This tool generates histograms for analyzing the posterior probabilities of the Target by automatically setting hard evidence on each state of the selected nodes (or all the non translucent nodes when no nodes are selected).

The histograms are updated dynamically upon manually setting evidence, with the upper left part of the window describing the current evidence set, as well as the computed probabilities.

Example

In the example below, the Target node is Cancer, and we have selected the target state Yes via the tab.

The histograms show the posterior probabilities of Cancer=Yes given hard evidence on each state of the nodes. The red line "a priori" indicates the probability of Cancer=Yes with the current context, i.e. before automatically setting hard evidence on the node states.

Inverse Influence

Checking Inverse Influence generates histograms for analyzing the posterior probability distributions of the selected variables, given hard evidence on the Target states.

Example

The example below shows the posterior probability distributions of each node after setting Cancer=Yes. The red line indicates the probability of the states with the current context, i.e. before automatically setting hard evidence on the Target state.

The nodes' current values and delta are displayed in each histogram.

Compute from Database

Checking Compute from Database allows generating these histograms by directly estimating the probabilities on the associated data set, i.e. without carrying inference in the Bayesian network. When the nodes are directly connected to the Target, the results with the data and inference are the same. The only differ when the path is indirect and/or when the probabilities have been estimated with the Smooth Probability Estimation.

Fix References

When Inference Influence is checked, Fix References allows replacing the a priori (red lines) with the current probabilities, and keep these references unchanged when evidence is manually set.

The deltas are computed with respect to the references. As shown in the example below, when nodes have associated colors, the border of the graphics inherits the corresponding color.

Example

Tooltip

Hovering over a bar chart brings up a tooltip with the state's name and its associated probability.

Contextual Menu

With the contextual menu, you can:

  • Sort the nodes based on:
    • Their internal order, or, when the nodes are monitored, the order used in the monitor panel;
    • The Mutual Information with the Target node;
    • The Binary Mutual Information, i.e. the mutual information with the Target State.
  • Show the Long Name of the nodes
  • Show the Long Name of the states
  • Copy an image from the graph

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