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- Fisher_information_metric abstract "In information geometry, the Fisher information metric is a particular Riemannian metric which can be defined on a smooth statistical manifold, i.e., a smooth manifold whose points are probability measures defined on a common probability space. It can be used to calculate the informational difference between measurements.The metric is interesting in several respects. First, it can be understood to be the infinitesimal form of the relative entropy (i.e., the Kullback–Leibler divergence); specifically, it is the Hessian of the divergence. Alternately, it can be understood as the metric induced by the flat space Euclidean metric, after appropriate changes of variable. When extended to complex projective Hilbert space, it becomes the Fubini–Study metric; when written in terms of mixed states, it is the quantum Bures metric.Considered purely as a matrix, it is known as the Fisher information matrix. Considered as a measurement technique, where it is used to estimate hidden parameters in terms of observed random variables, it is known as the observed information (this is wrong: it is the expected information; the observed information is not a function of the parameters).".
- Fisher_information_metric wikiPageExternalLink Feng2009.pdf.
- Fisher_information_metric wikiPageID "488687".
- Fisher_information_metric wikiPageRevisionID "599760673".
- Fisher_information_metric hasPhotoCollection Fisher_information_metric.
- Fisher_information_metric subject Category:Differential_geometry.
- Fisher_information_metric subject Category:Statistical_distance_measures.
- Fisher_information_metric type Abstraction100002137.
- Fisher_information_metric type Act100030358.
- Fisher_information_metric type Action100037396.
- Fisher_information_metric type Choice100161243.
- Fisher_information_metric type Decision100162632.
- Fisher_information_metric type Event100029378.
- Fisher_information_metric type Maneuver100168237.
- Fisher_information_metric type Measure100174412.
- Fisher_information_metric type Move100165942.
- Fisher_information_metric type PsychologicalFeature100023100.
- Fisher_information_metric type StatisticalDistanceMeasures.
- Fisher_information_metric type YagoPermanentlyLocatedEntity.
- Fisher_information_metric comment "In information geometry, the Fisher information metric is a particular Riemannian metric which can be defined on a smooth statistical manifold, i.e., a smooth manifold whose points are probability measures defined on a common probability space. It can be used to calculate the informational difference between measurements.The metric is interesting in several respects.".
- Fisher_information_metric label "Fisher information metric".
- Fisher_information_metric sameAs m.02gk8g.
- Fisher_information_metric sameAs Q5454858.
- Fisher_information_metric sameAs Q5454858.
- Fisher_information_metric sameAs Fisher_information_metric.
- Fisher_information_metric wasDerivedFrom Fisher_information_metric?oldid=599760673.
- Fisher_information_metric isPrimaryTopicOf Fisher_information_metric.