| 信息几何及其应用 |
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| 引用本文： | 孙华飞,彭林玉,张真宁.信息几何及其应用[J].数学进展,2011(3). |
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| 作者姓名： | 孙华飞 彭林玉 张真宁 |
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| 作者单位： | 北京理工大学数学系;中国科学院数学与系统科学研究院; |
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| 基金项目： | 国家自然科学基金(No.10871218). |
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| 摘 要： | 本文介绍了信息几何的基本内容和最新的一些研究进展,特别是信息几何的理论在神经网络、热力学系统、控制系统以及Birkhoff系统中的应用.
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| 关 键 词： | 信息几何 Fisher信息阵 对偶联络 Kullback散度 |
Information Geometry and Its Applications |
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| SUN Huafei,PENG Linyu,ZHANG Zhenning.Information Geometry and Its Applications[J].Advances in Mathematics,2011(3). |
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| Authors: | SUN Huafei PENG Linyu ZHANG Zhenning |
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| Institution: | SUN Huafei~1,PENG Linyu~1,ZHANG Zhenning~2 (1.Department of Mathematics,Beijing Institute of Technology,Beijing,100081,P.R.China,2.Institute of Systems Science,Chinese Academy of Sciences,100190,P.R.China) |
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| Abstract: | The foundation of information geometry and its new developments are introduced, especially its applications in neural networks,thermodynamic systems,control systems and Birkhoff systems. |
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| Keywords: | information geometry Fisher information matrix dual connection Kullback divergence |
| 本文献已被 CNKI 等数据库收录！ |
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