On the Convergence of Continuous and Discrete Unbalanced Optimal Transport Models for 1-Wasserstein Distance-Reference-Cited by-同舟云学术

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On the Convergence of Continuous and Discrete Unbalanced Optimal Transport Models for 1-Wasserstein Distance

Published:2024-03-05 Issue:2 Volume:62 Page:749-774
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Xiong Zhe¹,Li Lei²^ORCID,Zhu Ya-Nan¹^ORCID,Zhang Xiaoqun²^ORCID

Affiliation:

1. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China.

2. School of Mathematical Sciences, MOE-LSC and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China and Shanghai AI Laboratory, Shanghai, China.

Funder

Shanghai Municipal Science and Technology

Shanghai Science and Technology Commission

National Natural Science Foundation of China

National Key Research and Development Program of China

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference27 articles.

1. Partial L1 Monge–Kantorovich problem: variational formulation and numerical approximation

2. A Continuous Model of Transportation

3. A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem

4. Gamma-Convergence for Beginners

5. Semi-linear second-order elliptic equations in L1

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