ArticleEntropy (Basel, Switzerland)2023
A Simple Approximation Method for the Fisher-Rao Distance between Multivariate Normal Distributions.
Article in Entropy (Basel, Switzerland), 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed.
- Explicit Geodesic Projection Distance on the Statistical Manifold of Multivariate Elliptical Distributions.Entropy (Basel, Switzerland) · 2026Article
- Thermodynamic natural gradient descent (NGD-T) regulates natural-gradient steps by a geometric speed-cost bound.Scientific reports · 2026Article
- Fisher-Rao Distance for Finite-Energy Signal Manifolds: Geometric Foundations and Numerical Analysis.Entropy (Basel, Switzerland) · 2026Article
- Fast Proxy Centers for the Jeffreys Centroid: The Jeffreys-Fisher-Rao Center and the Gauss-Bregman Inductive Center.Entropy (Basel, Switzerland) · 2024Article
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Abstract
We present a simple method to approximate the Fisher-Rao distance between multivariate normal distributions based on discretizing curves joining normal distributions and approximating the Fisher-Rao distances between successive nearby normal distributions on the curves by the square roots of their Jeffreys divergences. We consider experimentally the linear interpolation curves in the ordinary, natural, and expectation parameterizations of the normal distributions, and compare these curves with a curve derived from the Calvo and Oller's isometric embedding of the Fisher-Rao
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