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arXiv · 1709.10153

Monoparametric family of metrics derived from classical Jensen-Shannon divergence

Tristán M. Osán·Diego G. Bussandri·Pedro W. Lamberti
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Abstract

Jensen-Shannon divergence is a well known multi-purpose measure of dissimilarity between probability distributions. It has been proven that the square root of this quantity is a true metric in the sense that, in addition to the basic properties of a distance, it also satisfies the triangle inequality. In this work we extend this last result to prove that in fact it is possible to derive a monoparametric family of metrics from the classical Jensen-Shannon divergence. Motivated by our results, an application into the field of symbolic sequences segmentation is explored. Additionally, we analyze the possibility to extend this result into the quantum realm.

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Tristán M. Osán, Diego G. Bussandri, Pedro W. Lamberti. 2017-09-28. Monoparametric family of metrics derived from classical Jensen-Shannon divergence. https://doi.org/10.1016/j.physa.2017.12.073

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