Optimal Transport of Maps

被引：0
|
作者：
Jung, Woochul [1 ]
Morales, Carlos [2 ,3 ]
Wen, Xiao [4 ,5 ,6 ]
机构：
[1] Konyang Univ Hosp, Healthcare Data Sci Ctr, Daejeon, South Korea
[2] Beihang Univ, Beijing Adv Innovat Ctr Future Blockchain & Privac, Beijing, Peoples R China
[3] Beijing Acad Blockchain & edge Comp, Beijing 100086, Peoples R China
[4] Beihang Univ, Sch Artificial Intelligence, Beijing, Peoples R China
[5] Beihang Univ, Sch Math Sci, Beijing, Peoples R China
[6] Beijing Zhongguancun Lab, Beijing, Peoples R China
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2025年 / 204卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Optimal transport; Mapping; Metric space; TOPOLOGICAL STABILITY;
D O I：
10.1007/s10957-024-02576-2
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
The problem of transporting graphs of continuous maps in a metric space with minimal cost is formulated. The minimal cost distance generated by this problem in the space of continuous maps is studied. The topology induced by this distance will be studied. A measure-theoretical version of the minimal cost distance will be given.
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页数：19
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