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- 上林 達
- (株)東芝研究開発センター 情報通信システム研究所
書誌事項
- タイトル別名
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- Statistical Manifold of Infinite Dimension
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説明
This is an attempt to establish a framework of infinite dimensional information geometry. The space of the probability densikties on [0.1] which are absolutely continuous and the derivatives of which are square integrable is considered. The space is an open Hilbert manifold. The Fisher metric, however, is not compatible with the topology of the manifold. The unique existence of the covariant derivative which is metric and torsion free is proved, and the equation of the geodesic is shown. The equation is explicitly solved. It is proved that the manifold has some desirable geometrical characters.
収録刊行物
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- 日本応用数理学会論文誌
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日本応用数理学会論文誌 4 (3), 211-228, 1994
一般社団法人 日本応用数理学会
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詳細情報 詳細情報について
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- CRID
- 1390001205768100224
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- NII論文ID
- 110001883582
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- NII書誌ID
- AN10367166
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- ISSN
- 24240982
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可