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Covariate Restrictions of the Fisher–Rao Metric: Spectral Geometry, Semiparametric Efficiency, Tracial Categorification, and the Path-Space Geometry of Diffusions
Fisher–Rao metric; information geometry; covariate Fisher information matrix; manifold hypothesis; intrinsic dimension; score matching; semiparametric efficiency; efficient influence function; tracial von Neumann algebra; categorification; Amari–Chentsov tensor; de Bruijn identity; optimal transport; Girsanov theorem; path-space geometry; Finsler geometry
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