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A Compactification of the Orthogonal Foliation via...
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A Compactification of the Orthogonal Foliation via Toric Geometry

Abstract

We provide a compactification of the orthogonal foliation for the dually flat structure on the probability simplex. In particular we examine the orthogonality of the e-foliation and m-foliation on the boundary. We use a toric geometric aspect of the probability simplex.

Authors

Fujita H; Yamaguchi K

Book title

Geometric Science of Information

Series

Lecture Notes in Computer Science

Volume

16035

Pagination

pp. 408-416

Publisher

Springer Nature

Publication Date

2026

DOI

10.1007/978-3-032-03924-8_42

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