An efficient algorithm for matrix-valued and vector-valued optimal mass transport
From MaRDI portal
Publication:1632248
DOI10.1007/s10915-018-0696-8OpenAlexW2732868105MaRDI QIDQ1632248
Allen Tannenbaum, Yongxin Chen, Eldad Haber, Kaoru Yamamoto, Tryphon T. Georgiou
Publication date: 13 December 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.08841
Related Items (7)
A Continuation Multiple Shooting Method for Wasserstein Geodesic Equation ⋮ On the matrix Monge–Kantorovich problem ⋮ Vector-Valued Optimal Mass Transport ⋮ Optimal transport of vector measures ⋮ Interpolation of matrices and matrix-valued densities: The unbalanced case ⋮ Fisher information regularization schemes for Wasserstein gradient flows ⋮ Matrix Hölder's Inequality and Divergence Formulation of Optimal Transport of Vector Measures
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical solution of the optimal transportation problem using the Monge-Ampère equation
- The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
- A convexity principle for interacting gases
- The geometry of optimal transportation
- Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
- Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
- Computations of optimal transport distance with Fisher information regularization
- Joint hydrogeophysical inversion: state estimation for seawater intrusion models in 3D
- A parallel method for earth mover's distance
- Ricci curvature of finite Markov chains via convexity of the entropy
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance
- An entropic gradient structure for Lindblad equations and couplings of quantum systems to macroscopic models
- On Matrix-Valued Monge–Kantorovich Optimal Mass Transport
- Entropic and Displacement Interpolation: A Computational Approach Using the Hilbert Metric
- A Multilevel Method for the Solution of Time Dependent Optimal Transport
- Numerical Methods for Evolutionary Differential Equations
- An Inexact SQP Method for Equality Constrained Optimization
- Polar factorization and monotone rearrangement of vector‐valued functions
- Monotone Operators and the Proximal Point Algorithm
- The Variational Formulation of the Fokker--Planck Equation
- Minimizing Flows for the Monge--Kantorovich Problem
- Vector-Valued Optimal Mass Transport
- Matrix Optimal Mass Transport: A Quantum Mechanical Approach
- Iterative Bregman Projections for Regularized Transportation Problems
This page was built for publication: An efficient algorithm for matrix-valued and vector-valued optimal mass transport
