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resubEdge

Resubstitution classification edge for discriminant analysis classifier

Description

example

edge = resubEdge(Mdl) returns the resubstitution classification Classification Edge (edge) for the trained discriminant analysis classifier Mdl using the training data stored in Mdl.X and the corresponding true class labels stored in Mdl.Y. The classification edge is the Classification Margin averaged over the entire data set.

Examples

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Estimate the quality of a discriminant analysis classifier for Fisher's iris data by resubstitution.

Load Fisher's iris data set.

load fisheriris

Train a discriminant analysis classifier.

Mdl = fitcdiscr(meas,species);

Compute the resubstitution edge.

redge = resubEdge(Mdl)
redge = 0.9454

Input Arguments

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Discriminant analysis classifier, specified as a ClassificationDiscriminant model object trained with fitcdiscr.

More About

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Classification Edge

The edge is the weighted mean value of the classification margin. The weights are class prior probabilities. If you supply additional weights, those weights are normalized to sum to the prior probabilities in the respective classes, and are then used to compute the weighted average.

Classification Margin

The classification margin is the difference between the classification score for the true class and maximal classification score for the false classes.

The classification margin is a column vector with the same number of rows as in the matrix X. A high value of margin indicates a more reliable prediction than a low value.

Score

For discriminant analysis, the score of a classification is the posterior probability of the classification. For the definition of posterior probability in discriminant analysis, see Posterior Probability.

Version History

Introduced in R2011b

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