| Riemann-Finsler Geometry with Applications to Information Geometry |
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| 引用本文： | Zhongmin SHEN. Riemann-Finsler Geometry with Applications to Information Geometry[J]. 数学年刊B辑(英文版), 2006, 27(1): 73-94. DOI: 10.1007/s11401-005-0333-3 |
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| 作者姓名： | Zhongmin SHEN |
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| 摘 要： | 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.
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| 关 键 词： | Riemann-Finsler几何学 信息几何学 分支 微分几何 |
| 收稿时间： | 2005-08-12 |
Riemann-Finsler Geometry with Applications toInformation Geometry |
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| Zhongmin SHEN. Riemann-Finsler Geometry with Applications toInformation Geometry[J]. Chinese Annals of Mathematics,Series B, 2006, 27(1): 73-94. DOI: 10.1007/s11401-005-0333-3 |
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| Authors: | Zhongmin SHEN |
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| Affiliation: | Dedicated to the memory of Shiing-Shen Chern |
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| 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. |
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| Keywords: | Riemann-Finsler geometry Information geometry |
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