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Information geometry

Information geometry is an interdisciplinary field that applies the techniques of differential geometry to study probability theory and statistics. It studies statistical manifolds, which are Riemannian manifolds whose points correspond to probability distributions.

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Overview

Introduction

Contributors

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Map overview Semantic statistics

Information geometry

Nodes40
Edges39
Triples34
Avg. degree1.95
Density0.05
Components1

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Information geometry

Top relations

related to Introduction · 16
Information geometry → All, Amari-Chentsov, Bregman, Classically, Fisher, For, Hessian, Historically, In, Levi-Civita, One, Rao, Riemannian, Shun'ichi Amari, The, Unlike
related to Contributors · 8
Information geometry → Bradley EfronShun'ichi AmariOle Barndorff-NielsenFrank, EdwardsGrant HillierKees Jan, Garderen, LeiblerClaude ShannonImre CsiszárNikolai Chentsov, NielsenDamiano BrigoA, RaoHarold JeffreysSolomon KullbackJean-Louis KoszulRichard, Ronald FisherHarald CramérCalyampudi Radhakrishna, The
related to External links · 7
Information geometry → Cosma Rohilla Shalizi, Daniel Wagenaar, Geometry, John Baez, July, November, SpringerInformation Geometry
has application · 2
Information geometry → As, Here
is a · 1
Information geometry → interdisciplinary field that applies the techniques of differential geometry to study probability theory and statistics

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Important terminology

information geometry riemannian field statistical theory manifolds statistics metric differential probability applications work fisher amari model machine learning interdisciplinary applies

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Information geometryis ainterdisciplinary field that applies the techniques of differential geometry to study probability theory and statistics0.90text
Information geometryhas applicationAs0.60section
Information geometryhas applicationHere0.60section
Information geometryrelated to ContributorsThe0.60section
Information geometryrelated to ContributorsRonald FisherHarald CramérCalyampudi Radhakrishna0.60section
Information geometryrelated to ContributorsRaoHarold JeffreysSolomon KullbackJean-Louis KoszulRichard0.60section
Information geometryrelated to ContributorsLeiblerClaude ShannonImre CsiszárNikolai Chentsov0.60section
Information geometryrelated to ContributorsBradley EfronShun'ichi AmariOle Barndorff-NielsenFrank0.60section
Information geometryrelated to ContributorsNielsenDamiano BrigoA0.60section
Information geometryrelated to ContributorsEdwardsGrant HillierKees Jan0.60section
Information geometryrelated to ContributorsGarderen0.60section
Information geometryrelated to External linksSpringerInformation Geometry0.60section

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    Min side: 3
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