A Class of New Metrics for n‐Dimensional Unit Hypercube

Guoxiang Lu

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We study the metric on the n‐dimensional unit hypercube. We introduce a class of new metrics for the space, which is information theoretically motivated and has close relation to Jensen‐Shannon divergence. These metrics are obtained by discussing a function FDα(P, Q) with the parameter α. We come to the conclusion that the sufficient and necessary condition of the function being a metric is 0

Date: 2013
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https://doi.org/10.1155/2013/942687

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:942687

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