Vector and Matrix Optimal Mass Transport: Theory, Algorithm, and Applications
From MaRDI portal
Publication:4553792
DOI10.1137/17M1163396zbMath1478.49044arXiv1712.10279OpenAlexW2963187803MaRDI QIDQ4553792
Ernest K. Ryu, Wuchen Li, Yongxin Chen, Stanley J. Osher
Publication date: 31 October 2018
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.10279
Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical optimization and variational techniques (65K10) Optimal transportation (49Q22)
Related Items
A Continuation Multiple Shooting Method for Wasserstein Geodesic Equation, Numerical solution of Monge-Kantorovich equations via a dynamic formulation, A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature, The Wasserstein distance of order 1 for quantum spin systems on infinite lattices, Quantum Wasserstein distance of order 1 between channels, Concentration of quantum states from quantum functional and transportation cost inequalities, Multilevel Optimal Transport: A Fast Approximation of Wasserstein-1 Distances, Optimal transport of vector measures, Multi-species optimal transportation, Diagnosing forward operator error using optimal transport, Matrix Hölder's Inequality and Divergence Formulation of Optimal Transport of Vector Measures
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the relation between optimal transport and Schrödinger bridges: a stochastic control viewpoint
- Transport between RGB images motivated by dynamic optimal transport
- Numerical solution of the optimal transportation problem using the Monge-Ampère equation
- Attouch-Théra duality revisited: Paramonotonicity and operator splitting
- Gradient flows of the entropy for finite Markov chains
- 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
- Unbalanced and partial \(L_1\) Monge-Kantorovich problem: a scalable parallel first-order method
- A parallel method for earth mover's distance
- Measure-valued variational models with applications to diffusion-weighted imaging
- A first-order primal-dual algorithm for convex problems with applications to imaging
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Fokker-Planck equations for a free energy functional or Markov process on a graph
- A new use of Douglas-Rachford splitting for identifying infeasible, unbounded, and pathological conic programs
- 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
- Optimal mass transport for registration and warping
- Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective
- On Matrix-Valued Monge–Kantorovich Optimal Mass Transport
- A Singular Value Thresholding Algorithm for Matrix Completion
- A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
- Entropic and Displacement Interpolation: A Computational Approach Using the Hilbert Metric
- A Multilevel Method for the Solution of Time Dependent Optimal Transport
- MICHELL TRUSSES AND LINES OF PRINCIPAL ACTION
- Polar factorization and monotone rearrangement of vector‐valued functions
- Differential equations methods for the Monge-Kantorovich mass transfer problem
- 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
- Optimal Transport Over a Linear Dynamical System
- Optimal Transport