On closed-form expressions for the Fisher-Rao distance

DOI10.1007/S41884-024-00143-2MaRDI QIDQ6660910

Julianna Pinele, Sueli I. R. Costa, Fábio C. C. Meneghetti, Henrique K. Miyamoto

Publication date: 10 January 2025

Published in: Information Geometry (Search for Journal in Brave)

zbMATH Keywords

Fisher metricparametric distributionsgeodesic distancestatistical manifoldsFisher-Rao distance

Mathematics Subject Classification ID

Statistics (62-XX) Multivariate analysis (62Hxx) Sufficiency and information (62Bxx)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• On Pythagoras theorem for products of spectral triples
• The epic story of maximum likelihood
• Fisher information distance: a geometrical reading
• Information geometry. Near randomness and near independence
• On the geometry of generalized Gaussian distributions
• Informative geometry of probability spaces
• Geodesic estimation in elliptical distributions
• Computing the Rao distance for gamma distributions
• A distance between elliptical distributions based in an embedding into the Siegel group
• Analytical properties of generalized Gaussian distributions
• Spaces of statistical parameters.
• On the geometry of multivariate generalized Gaussian models
• Fisher-Rao geometry of Dirichlet distributions
• A shape distance based on the Fisher-Rao metric and its application for shapes clustering
• DTI segmentation and fiber tracking using metrics on multivariate normal distributions
• Information geometry and sufficient statistics
• The uniqueness of the Fisher metric as information metric
• Rao distances
• A distance between multivariate normal distributions based in an embedding into the Siegel group
• Upper bounds for Rao distance on the manifold of multivariate elliptical distributions
• Foundations of Hyperbolic Manifolds
• The Mahalanobis distance and elliptic distributions
• Statistical Manifolds of Univariate Elliptic Distributions
• Rao's Distance between Normal Populations That Have Common Principal Components
• SOME REMARKS ON THE INFORMATION GEOMETRY OF THE GAMMA DISTRIBUTION
• Fisher–Rao geometry and Jeffreys prior for Pareto distribution
• Geometric Modeling in Probability and Statistics
• Information Geometry
• Symplectic Geometry
• Introduction to nonparametric estimation
• A hall of statistical mirrors
• The Fisher-Rao loss for learning under label noise
• Parametric information geometry with the package Geomstats

Related Items (1)

Stochastic modified flows for Riemannian stochastic gradient descent

This page was built for publication: On closed-form expressions for the Fisher-Rao distance

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6660910)