Riemann-Finsler Geometry with Applications toInformation Geometry

Citation:

Zhongmin SHEN.Riemann-Finsler Geometry with Applications toInformation Geometry[J].Chinese Annals of Mathematics B,2006,27(1):73~94
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Authors:

Zhongmin SHEN;
Abstract: Information geometry is a new branch in mathematics, originated from the applications of differential geometry to statistics. In this paper we briefly introduce Riemann-Finsler geometry, by which we establish Information Geometry on a much broader base, so that the potential applications of Information Geometry will be beyond statistics.

Keywords:

Riemann-Finsler geometry, Information geometry

Classification:

53
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