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Decomposition of high dimensional pattern spaces for hierarchical classification

Rajeev Kumar;  Peter I Rockett — 1998

Kybernetika

In this paper we present a novel approach to decomposing high dimensional spaces using a multiobjective genetic algorithm for identifying (near-)optimal subspaces for hierarchical classification. This strategy of pre-processing the data and explicitly optimising the partitions for subsequent mapping onto a hierarchical classifier is found to both reduce the learning complexity and the classification time with no degradation in overall classification error rate. Results of partitioning pattern spaces...

The Bhattacharyya metric as an absolute similarity measure for frequency coded data

Frank J. Aherne;  Neil A. Thacker;  Peter I Rockett — 1998

Kybernetika

This paper highlights advantageous properties of the Bhattacharyya metric over the chi-squared statistic for comparing frequency distributed data. The original interpretation of the Bhattacharyya metric as a geometric similarity measure is reviewed and it is pointed out that this derivation is independent of the use of the Bhattacharyya measure as an upper bound on the probability of misclassification in a two-class problem. The affinity between the Bhattacharyya and Matusita measures is described...

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