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MiS Preprint

Dually Flat Manifolds and Global Information Geometry

Nihat Ay and Wilderich Tuschmann


Dually flat manifolds constitute fundamental mathematical objects of information geometry. This note establishes some facts on the global properties and topology of dually flat manifolds which, in particular, provide answers to questions and problems in global information geometry posed by Amari and Amari-Nagaoka.

Mar 5, 2002
Mar 5, 2002

Related publications

2002 Repository Open Access
Nihat Ay and Wilderich Tuschmann

Dually flat manifolds and global information geometry

In: Open systems and information dynamics, 9 (2002) 2, pp. 195-200