Numerical Solution of Monge-Kantorovich Equations via a dynamic formulation
Numerical Analysis
2020-09-29 v2
Abstract
We propose a biologically inspired dynamic model for the numerical solution of the L1-PDE based optimal transportation model.
Cite
@article{arxiv.1709.06765,
title = {Numerical Solution of Monge-Kantorovich Equations via a dynamic formulation},
author = {Enrico Facca and Sara Daneri and Franco Cardin and Mario Putti},
journal= {arXiv preprint arXiv:1709.06765},
year = {2020}
}
Related papers
View all related →
Optimization and Control · Mathematics
Optimal Transport on Discrete Domains
Justin Solomon
2018-05-02
Optimization and Control · Mathematics
Polynomial-Time Solvers for the Discrete $\infty$-Optimal Transport Problems
Meyer Scetbon
2023-04-27
Numerical Analysis · Mathematics
Numerical Solution of the $L^1$-Optimal Transport Problem on Surfaces
Luca Berti, Enrico Facca, Mario Putti
2024-06-05
Numerical Analysis · Mathematics
Branching structures emerging from a continuous optimal transport model
Enrico Facca, Franco Cardin, Mario Putti
2020-05-11
Optimization and Control · Mathematics
Optimal Transportation by Orthogonal Coupling Dynamics
Mohsen Sadr, Peyman Mohajerin Esfahani, Hossein Gorji
2025-12-11
Optimization and Control · Mathematics
Solutions to Monge-Kantorovich equations as stationary points of a dynamical system
Leonid Prigozhin
2007-05-23
Artificial Intelligence · Computer Science
Collision-based Dynamics for Multi-Marginal Optimal Transport
Mohsen Sadr, Hossein Gorji
2025-08-05
Analysis of PDEs · Mathematics
A characterization for solutions of the Monge-Kantorovich mass transport problem
Abbas Moameni
2014-11-11
Numerical Analysis · Mathematics
Computing the Cut Locus of a Riemannian Manifold via Optimal Transport
Enrico Facca, Luca Berti, Francesco Fassó, Mario Putti
2021-12-15
Numerical Analysis · Mathematics
Generalized Unnormalized Optimal Transport and its fast algorithms
Wonjun Lee, Rongjie Lai, Wuchen Li, Stanley Osher
2021-04-07
Numerical Analysis · Mathematics
Numerical Optimal Transport from 1D to 2D using a Non-local Monge-Amp\`ere Equation
Matthew A. Cassini, Brittany Froese Hamfeldt
2023-07-14
Mathematical Physics · Physics
Optimal Transportation in the presence of a prescribed pressure field
Gershon Wolansky
2007-05-23
Numerical Analysis · Mathematics
Computing the L1 optimal transport density: a FEM approach
Federico Piazzon, Enrico Facca, Mario Putti
2023-04-28
Numerical Analysis · Mathematics
Numerical solution of the Optimal Transportation problem using the Monge-Ampere equation
Jean-David Benamou, Brittany D. Froese, Adam M. Oberman
2012-08-27
Numerical Analysis · Mathematics
Numerical Approaches for non-local Transport-Dominated PDE Models with Applications to Biology
Johan Marguet, Raluca Eftimie, Alexei Lozinski
2025-05-05
Numerical Analysis · Mathematics
A viscosity solution approach to the Monge-Ampere formulation of the Optimal Transportation Problem
Jean-David Benamou, Brittany D. Froese, Adam M. Oberman
2013-08-06
Numerical Analysis · Mathematics
Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem
Jean-David Benamou, Vincent Duval
2018-07-19
Optimization and Control · Mathematics
A dynamical formulation of multi-marginal optimal transport
Brendan Pass, Yair Shenfeld
2025-10-14
Analysis of PDEs · Mathematics
An optimal transportation principle for interacting paths and congestion
Rene Cabrera
2022-04-19
Numerical Analysis · Mathematics
A numerical method for the elliptic Monge-Amp\`ere equation with transport boundary conditions
Brittany D. Froese
2012-03-02
Analysis of PDEs · Mathematics
Uniqueness and Monge solutions in the multi-marginal optimal transportation problem
Brendan Pass
2010-08-27
Systems and Control · Computer Science
Geodesic Density Tracking with Applications to Data Driven Modeling
Abhishek Halder, Raktim Bhattacharya
2014-02-10
Analysis of PDEs · Mathematics
On Fluid mechanics formulation of Monge-Kantorovich Mass Transfer Problem
Kazufumi Ito
2007-05-23
Numerical Analysis · Mathematics
Fast iterative solvers for an optimal transport problem
Roland Herzog, John W. Pearson, Martin Stoll
2018-01-15
Numerical Analysis · Mathematics
A viscosity framework for computing Pogorelov solutions of the Monge-Ampere equation
Jean-David Benamou, Brittany D. Froese
2014-08-05