Optimal transportation, modelling and numerical simulation-Reference-Cited by-同舟云学术

Optimal transportation, modelling and numerical simulation

Published:2021-05 Issue: Volume:30 Page:249-325
ISSN:0962-4929
Container-title:Acta Numerica
language:en
Short-container-title:Acta Numerica

Author:

Benamou Jean-David

Abstract

We present an overviewof the basic theory, modern optimal transportation extensions and recent algorithmic advances. Selected modelling and numerical applications illustrate the impact of optimal transportation in numerical analysis.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Numerical Analysis

Reference130 articles.

1. The Monge-Ampère Equation and Its Applications

2. Handling congestion in crowd motion modeling

3. Salanié, B. and Galichon, A. (2012), Cupid’s invisible hand: Social surplus and identification in matching models. Available at hal-01053710.

4. On a problem of optimal transport under marginal martingale constraints

5. Friesecke, G. and Vögler, D. (2017), Breaking the curse of dimension in multi-marginal Kantorovich optimal transport on finite state spaces. Available at arXiv:1801.00341.

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Bayesian Model for Dynamic Mass Reconstruction from PET Listmode Data;SIAM Journal on Mathematical Analysis;2024-09-03

2. Entropic Approximation of $$\infty $$-Optimal Transport Problems;Applied Mathematics & Optimization;2024-06-18

3. Robust Risk Management via Multi-marginal Optimal Transport;Journal of Optimization Theory and Applications;2024-05-09

4. Weak semiconvexity estimates for Schrödinger potentials and logarithmic Sobolev inequality for Schrödinger bridges;Probability Theory and Related Fields;2024-02-28

5. A Fast Solver for Generalized Optimal Transport Problems Based on Dynamical System and Algebraic Multigrid;Journal of Scientific Computing;2023-08-18