An efficient algorithm for matrix-valued and vector-valued optimal mass transport
type: Item
instance of: scholarly article
title: An efficient algorithm for matrix-valued and vector-valued optimal mass transport
author: Yongxin Chen
author: Eldad Haber
author: Kaoru Yamamoto
author: Tryphon T. Georgiou
author: Allen Tannenbaum
published in: Journal of Scientific Computing
publication date: 2018-12-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/1706.08841
Mathematics Subject Classification ID: 65-XX
zbMATH DE Number: 6993414
zbMATH Keywords: optimal mass transport
zbMATH Keywords: vector-valued data
zbMATH Keywords: matrix-valued data
zbMATH Keywords: quantum mechanics
MaRDI profile type: Publication
OpenAlex ID: W2732868105
cites work: Q5441008
cites work: Minimizing Flows for the Monge--Kantorovich Problem
cites work: Numerical Methods for Evolutionary Differential Equations
cites work: A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
cites work: Numerical solution of the optimal transportation problem using the Monge-Ampère equation
cites work: Iterative Bregman Projections for Regularized Transportation Problems
cites work: Polar factorization and monotone rearrangement of vector‐valued functions
cites work: An Inexact SQP Method for Equality Constrained Optimization
cites work: Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance
cites work: Entropic and Displacement Interpolation: A Computational Approach Using the Hilbert Metric
cites work: Matrix Optimal Mass Transport: A Quantum Mechanical Approach
cites work: Vector-Valued Optimal Mass Transport
cites work: Ricci curvature of finite Markov chains via convexity of the entropy
cites work: The geometry of optimal transportation
cites work: A Multilevel Method for the Solution of Time Dependent Optimal Transport
cites work: The Variational Formulation of the Fokker--Planck Equation
cites work: The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
cites work: Computations of optimal transport distance with Fisher information regularization
cites work: A parallel method for earth mover's distance
cites work: A convexity principle for interacting gases
cites work: An entropic gradient structure for Lindblad equations and couplings of quantum systems to macroscopic models
cites work: On Matrix-Valued Monge–Kantorovich Optimal Mass Transport
cites work: Q5491447
cites work: Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
cites work: Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
cites work: Monotone Operators and the Proximal Point Algorithm
cites work: Joint hydrogeophysical inversion: state estimation for seawater intrusion models in 3D
cites work: Q4805362
Wikidata QID: Q130119259
DOI: 10.1007/S10915-018-0696-8
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description: scientific article; zbMATH DE number 6993414