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Scaled Euclidian distances: a general dissimilarity index with a suitably defined geometrical foundation

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Abstract

A simple manipulation of the Euclidian distance expression permits to obtain a scaled dissimilarity index measure, varying within a range of values lying in the interval [0,1]. Here is presented the theoretical background, its application to quantum similarity and use for artificial intelligence general purposes as well. The origin of Hodgkin-Richards index is analyzed and compared with quantum similarity Carbó index.

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Authors and Affiliations

  1. Institut de Química Computacional, Universitat de Girona, 17071, Catalonia, Girona, Spain

    Ramon Carbó-Dorca

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  1. Ramon Carbó-Dorca
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Correspondence to Ramon Carbó-Dorca.

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Carbó-Dorca, R. Scaled Euclidian distances: a general dissimilarity index with a suitably defined geometrical foundation. J Math Chem 50, 734–740 (2012). https://doi.org/10.1007/s10910-011-9920-6

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  • DOI: https://doi.org/10.1007/s10910-011-9920-6

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