Order-based equivalence degrees for similarity and distance measures

Authors:
Marie-Jeanne Lesot;Maria Rifqi
Affiliations:
Université Pierre et Marie Curie-Paris 6, CNRS, UMR, LIP6, Paris, France;Université Pierre et Marie Curie-Paris 6, CNRS, UMR, LIP6, Paris, France
Venue:
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Year:
2010

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Abstract

In order to help to choose similarity or distance measures for information retrieval systems, we compare the orders these measures induce and quantify their agreement by a degree of equivalence. We both consider measures dedicated to binary and numerical data, carrying out experiments both on artificial and real data sets, and identifying equivalent as well as quasi-equivalent measures that can be considered as redundant in the information retrieval framework.