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
|