Fisher–Rao metric

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:Riemannian_manifold
information geometry concept
gptkbp:appliesTo gptkb:statistical_manifold
gptkbp:describes distance between probability distributions
gptkbp:field gptkb:probability_theory
differential geometry
gptkbp:form metric tensor defined by Fisher information matrix
gptkbp:generalizes Euclidean metric (for normal distributions)
https://www.w3.org/2000/01/rdf-schema#label Fisher–Rao metric
gptkbp:introducedIn 1945
gptkbp:namedAfter gptkb:Ronald_Fisher
Calambur Narayana Rao
gptkbp:property invariant under sufficient statistics
unique monotone metric for statistical manifolds
gptkbp:relatedTo gptkb:Fisher_information
gptkb:Kullback–Leibler_divergence
gptkbp:usedIn gptkb:machine_learning
gptkb:information_geometry
statistics
gptkbp:bfsParent gptkb:C._R.adhakrishna_Rao
gptkb:Calyampudi_Radhakrishna_Rao
gptkbp:bfsLayer 6