KV Cohomology in Information Geometry

Chapter

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.

Keywords

Curvature Tensor Fisher Information Linear Connection Information Geometry Cochain Complex 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Université Montpellier 2Montpellier Cedex 5France

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