Information Geometry of Positive Definite Matrices
A new Riemannian metric for positive definite matrices is defined and its geometric structures are investigated by means of dual connections introduced to statistical analysis by S. Amari. A few interesting results are obtained and some of those obtained by other authors are extended in our research...
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| Veröffentlicht in: | Journal of Beijing Institute of Technology 2009-12, Vol.18 (4), p.484-487 |
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| container_title | Journal of Beijing Institute of Technology |
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| creator | 张士诚 孙华飞 李春辉 |
| description | A new Riemannian metric for positive definite matrices is defined and its geometric structures are investigated by means of dual connections introduced to statistical analysis by S. Amari. A few interesting results are obtained and some of those obtained by other authors are extended in our research. |
| format | Article |
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| identifier | ISSN: 1004-0579 |
| ispartof | Journal of Beijing Institute of Technology, 2009-12, Vol.18 (4), p.484-487 |
| issn | 1004-0579 |
| language | eng |
| recordid | cdi_wanfang_journals_bjlgdxxb_e200904021 |
| source | Alma/SFX Local Collection |
| subjects | 信息几何 几何结构 双重连接 正定矩阵 统计分析 黎曼度量 |
| title | Information Geometry of Positive Definite Matrices |
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