A Class of New Metrics for n-Dimensional Unit Hypercube

作者:Lu, Guoxiang*
来源:Journal of Applied Mathematics, 2013, 2013: 942687.
DOI:10.1155/2013/942687

摘要

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 FD alpha(P,Q) with the parameter alpha. We come to the conclusion that the sufficient and necessary condition of the function being a metric is 0 < alpha <= 1/2. Finally, by computing basic examples of codons, we show some numerical comparison of the new metrics to the former metric.