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Gradient Systems and Asymmetric Relaxations in View of Riemannian Geometry

In dually flat manifolds, there is a deep connection between gradient flows and pregeodesics. This was one of the many important contributions of Amari to information geometry. In this paper, we extend the study of this relationship to general Riemannian manifolds. Our result does not impose conditi...

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Hlavní autoři: Alessandro Bravetti, Miguel Ángel García Ariza, José Roberto Romero-Arias
Médium: Artigo
Jazyk:Inglês
Vydáno: MDPI AG 2026-05-01
Edice:Entropy
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On-line přístup:https://www.mdpi.com/1099-4300/28/5/516
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