Robustness of statistical manifolds

DOI10.1016/j.topol.2023.108438OpenAlexW4318069395MaRDI QIDQ2687324

Andrea Loi, Stefano Matta

Publication date: 2 March 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.06145

zbMATH Keywords

robustnessstatistical modelsstatistical manifoldsNash-Gromov implicit function theoremfree statistical mapsisostatistical maps

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Connections (general theory) (53C05) Implicit function theorems; global Newton methods on manifolds (58C15) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Cites Work

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• The imbedding problem for Riemannian manifolds
• Statistical manifolds are statistical models
• Induced Connections on S 1 -Bundles Over Riemannian Manifolds
• Partial Differential Relations
• Information Geometry