Gradient systems in view of information geometry
type: Item
instance of: scholarly article
title: Gradient systems in view of information geometry
zbMATH Open document ID: 0883.53020
DOI: 10.1016/0167-2789(94)00175-P
author: Akio Fujiwara
author: Shun-Ichi Amari
published in: Physica D
publication date: 1995-01-18T00:00:00Z
Mathematics Subject Classification ID: 53B05
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 62A01
Mathematics Subject Classification ID: 94A15
zbMATH DE Number: 712984
zbMATH Keywords: information geometry
zbMATH Keywords: gradient flow
zbMATH Keywords: dualistic structure
zbMATH Keywords: dynamical systems
MaRDI profile type: Publication
cites work: A new polynomial-time algorithm for linear programming
cites work: Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems
cites work: A new nonlinear dynamical system that leads to eigenvalues
cites work: Least squares matching problems
cites work: The Nonlinear Geometry of Linear Programming. II Legendre Transform Coordinates and Central Trajectories
cites work: Q5184775
cites work: Differential geometry of curved exponential families. Curvatures and information loss
cites work: Differential-geometrical methods in statistics
cites work: Q3995194
cites work: Q3943797
cites work: Geometrical theory of higher-order asymptotics of test, interval estimator and conditional inference
cites work: Estimation in the presence of infinitely many nuisance parameters - Geometry of estimating functions
cites work: Asymptotic theory of sequential estimation: Differential geometrical approach
cites work: Differential geometry of a parametric family of invertible linear systems—Riemannian metric, dual affine connections, and divergence
cites work: Q4327858
cites work: Statistical inference under multiterminal rate restrictions: a differential geometric approach
cites work: Fisher information under restriction of Shannon information in multi-terminal situations
cites work: Completely integrable gradient systems on the manifolds of Gaussian and multinomial distributions
cites work: Q3764363
cites work: Q4867729
cites work: Dual connections and affine geometry
cites work: Q4067388
cites work: The Nonlinear Geometry of Linear Programming. III Projective Legendre Transform Coordinates and Hilbert Geometry
cites work: Q4139463
cites work: A variation on Karmarkar’s algorithm for solving linear programming problems
cites work: Q3992992
cites work: Q3879120
Wikidata QID: Q126377034
full work available at URL: 0167-2789(94)00175-p
OpenAlex ID: W1973666011
description: scientific article; zbMATH DE number 712984