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KV Cohomology in Information Geometry

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Matrix Information Geometry

Abstract

Statistical structures and some information geometry invariants are discussed from the cohomology point of view. Some comparison criteria for statistical models are studied. The KV anomaly of an algebra structure as well as the Maurer-Cartan polynomial functions of KV complexes are used to discuss the linear convexity problems for various kind of linear connections. Deformation of statistical structures is discussed as well. Through the paper the differential geometry of Hessian manifolds is involved in its KV cohomology versus.

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Authors and Affiliations

  1. Université Montpellier 2, cc 051 Place Eugène bataillon, 34095, Montpellier Cedex 5, France

    Michel Nguiffo Boyom & Paul Mirabeau Byande

Authors
  1. Michel Nguiffo Boyom
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  2. Paul Mirabeau Byande
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Correspondence to Michel Nguiffo Boyom .

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Editors and Affiliations

  1. Higashi Gotanda 3-14-13, Shinagawa-Ku, 141-0022, Japan

    Frank Nielsen

  2. S.J.S. Sansanwal Marg 7, Delhi, 110016, India

    Rajendra Bhatia

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Boyom, M.N., Byande, P.M. (2013). KV Cohomology in Information Geometry. In: Nielsen, F., Bhatia, R. (eds) Matrix Information Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30232-9_4

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  • DOI: https://doi.org/10.1007/978-3-642-30232-9_4

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  • Print ISBN: 978-3-642-30231-2

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