Data Dependent Structural Risk Minimization for Perceptron Decision Trees

John S. Shawe-Taylor, Nello Cristianini · ePrints Soton (University of Southampton) · 1998

Perceptron Decision Trees (also known as Linear Machine DTs, etc.) are analysed in order that data-dependent Structural Risk Minimisation can be applied. Data-dependent analysis is performed which indicates that choosing the maximal margin hyperplanes at the decision nodes will improve the generalization. The analysis uses a novel technique to bound the generalization error in terms of the margins at individual nodes. Experiments performed on real data sets confirm the validity of the approach.

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