Transport information geometry: Riemannian calculus on probability simplex
Wuchen Li
Topics & Concepts
Statistical manifoldMathematicsPseudo-Riemannian manifoldInformation geometryProbability measureFisher information metricRiemannian manifoldSubmanifoldLaplace operatorManifold (fluid mechanics)Exponential map (Riemannian geometry)Wasserstein metricRiemannian geometryEuclidean spaceScalar curvatureProbability distributionRicci curvatureMathematical analysisCurvatureGeometryMetric spaceSectional curvatureInjective metric spaceMechanical engineeringStatisticsEngineeringGeometric Analysis and Curvature FlowsTopological and Geometric Data AnalysisClusterin in disease pathology