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This paper explores hyperboloid models as statistical manifolds through the framework of flat F-manifolds. We show that these models admit a flat F-manifold structure, offering an alternative to the Fisher information metric.

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Flat F Manifolds on Statistical Manifolds of Hyperboloid Type

  • 会议论文

  • 发表日期：

    2026年

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  • Guilherme F. Almeida

摘要

This paper explores hyperboloid models as statistical manifolds through the framework of flat F-manifolds. We show that these models admit a flat F-manifold structure, offering an alternative to the Fisher information metric.