A Class of New Metrics for -Dimensional Unit Hypercube

Guoxiang Lu

Journal of Applied Mathematics, 2013, vol. 2013, 1-7

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 with the parameter α . We come to the conclusion that the sufficient and necessary condition of the function being a metric is . Finally, by computing basic examples of codons, we show some numerical comparison of the new metrics to the former metric.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:942687

DOI: 10.1155/2013/942687

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