---
res:
  bibo_abstract:
  - Motivated by questions arising at the intersection of information theory and geometry,
    we compare two dissimilarity measures between finite categorical distributions.
    One is the well-known Jensen–Shannon divergence, which is easy to compute and
    whose square root is a proper metric. The other is what we call the minmax divergence,
    which is harder to compute. Just like the Jensen–Shannon divergence, it arises
    naturally from the Kullback–Leibler divergence. The main contribution of this
    paper is a proof showing that the minmax divergence can be tightly approximated
    by the Jensen–Shannon divergence. The bounds suggest that the square root of the
    minmax divergence is a metric, and we prove that this is indeed true in the one-dimensional
    case. The general case remains open. Finally, we consider analogous questions
    in the context of another Bregman divergence and the corresponding Burbea–Rao
    (Jensen–Bregman) divergence.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Arseniy
      foaf_name: Akopyan, Arseniy
      foaf_surname: Akopyan
      foaf_workInfoHomepage: http://www.librecat.org/personId=430D2C90-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-2548-617X
  - foaf_Person:
      foaf_givenName: Herbert
      foaf_name: Edelsbrunner, Herbert
      foaf_surname: Edelsbrunner
      foaf_workInfoHomepage: http://www.librecat.org/personId=3FB178DA-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-9823-6833
  - foaf_Person:
      foaf_givenName: Ziga
      foaf_name: Virk, Ziga
      foaf_surname: Virk
      foaf_workInfoHomepage: http://www.librecat.org/personId=2E36B656-F248-11E8-B48F-1D18A9856A87
  - foaf_Person:
      foaf_givenName: Hubert
      foaf_name: Wagner, Hubert
      foaf_surname: Wagner
      foaf_workInfoHomepage: http://www.librecat.org/personId=379CA8B8-F248-11E8-B48F-1D18A9856A87
  bibo_doi: 10.3390/e27080854
  bibo_issue: '8'
  bibo_volume: 27
  dct_date: 2025^xs_gYear
  dct_identifier:
  - UT:001557476000001
  dct_isPartOf:
  - http://id.crossref.org/issn/1099-4300
  dct_language: eng
  dct_publisher: MDPI@
  dct_title: Tight bounds between the Jensen–Shannon divergence and the minmax divergence@
  fabio_hasPubmedId: '40870326'
...