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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.

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A Compactification of the Orthogonal Foliation via Toric Geometry

  • 会议论文

  • 发表日期：

    2026年

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  • Hajime Fujita,
  • Kentaro Yamaguchi

摘要

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.