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Non-logarithmic Jensen–Shannon divergence

Author

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  • Lamberti, Pedro W.
  • Majtey, Ana P.

Abstract

The Jensen–Shannon divergence is a symmetrized and smoothed version of the Kullback–Leibler divergence. Recently it has been widely applied to the analysis and characterization of symbolic sequences. In this paper we investigate a generalization of the Jensen–Shannon divergence. This generalization is done in the framework of the non-extensive Tsallis statistics. We study its basic properties and we investigate its applicability as a tool for segmentating symbolic sequences.

Suggested Citation

  • Lamberti, Pedro W. & Majtey, Ana P., 2003. "Non-logarithmic Jensen–Shannon divergence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 329(1), pages 81-90.
    • Handle: RePEc:eee:phsmap:v:329:y:2003:i:1:p:81-90
    DOI: 10.1016/S0378-4371(03)00566-1
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    Cited by:

    1. Osán, Tristán M. & Bussandri, Diego G. & Lamberti, Pedro W., 2018. "Monoparametric family of metrics derived from classical Jensen–Shannon divergence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 336-344.
    2. Briscoe, Gerard & De Wilde, Philippe, 2011. "Physical complexity of variable length symbolic sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3732-3741.
    3. Miguel A Ré & Rajeev K Azad, 2014. "Generalization of Entropy Based Divergence Measures for Symbolic Sequence Analysis," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-11, April.

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