Strong Duality of the Kantorovich-Rubinstein Mass Transshipment Problem in Metric Spaces

机译：公制空间中Kantorovich-Rubinstein批量转运问题的强大二元性

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摘要

This paper studies the Kantorovich-Rubinstein mass transshipment (KR) problem on metric spaces and with an unbounded cost function. Some assumptions are given under which the strong duality condition holds; that is, the KR problem and its dual are both solvable and their optimal values coincide.

机译：本文研究了公制空间上的Kantorovich-Rubinstein质量转运（KR）问题，并具有无限性的成本函数。给出了一些假设的强大的二元性条件;也就是说，KR问题及其双重都是可溶性的，并且它们的最佳值一致。

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《International Conference on Machine Learning, Optimization, and Data Science》|2019年|562p|共11页
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Jose Rigoberto Gabriel-Arguelles; Martha Lorena Avendano-Garrido; Luis Antonio Montero; Juan Gonzalez-Hernandez;
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中图分类 TP181-53;
关键词
Strong duality; Kantorovich-Rubinstein problem; Infinite linear program;

机译：强大的二元性;kantorovich-rubinstein问题;无限的线性计划;

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专利

1. Strong duality of the Monge–Kantorovich mass transfer problem in metric spaces [J] . Onésimo Hernández–Lerma, J. Rigoberto Gabriel Mathematische Zeitschrift . 2002,第3期

机译：度量空间中蒙格–坎托罗维奇传质问题的强对偶性
2. Strong duality of the Monge-Kantorovich mass transfer problem in metric spaces [J] . Hernandez-Lerma O., Gabriel JR. Mathematische Zeitschrift . 2002,第3期

机译：度量空间中Monge-Kantorovich传质问题的强对偶性
3. AN EXTENSION OF THE KANTOROVICH-RUBINSTEIN MASS-TRANSSHIPMENT PROBLEM [J] . Leonid Hanin, Svetlozar T. Rachev Numerical Functional Analysis and Optimization . 1995,第5a6期

机译：KANTOROVICH-RUBINSTEIN质料交换问题的扩展
4. Strong Duality of the Kantorovich-Rubinstein Mass Transshipment Problem in Metric Spaces [C] . Jose Rigoberto Gabriel-Arguelles, Martha Lorena Avendano-Garrido, Luis Antonio Montero, International Conference on Machine Learning, Optimization, and Data Science . 2019

机译：公制空间中Kantorovich-Rubinstein批量转运问题的强大二元性
5. Length spectrum metric and modified length spectrum metric on Teichmuller spaces. [D] . Jimenez Lopez, Francisco Gerardo. 2013

机译：Teichmuller空间上的长度谱度量和修改后的长度谱度量。
6. Strong consistency of nonparametric Bayes density estimation on compact metric spaces with applications to specific manifolds [O] . Abhishek Bhattacharya, David B. Dunson -1

机译：具有特定歧管的紧凑型度量空间上的非参数贝叶斯密度估计的强稠度
7. A duality between the metric projection onto a convex cone and the metric projection onto its dual in Hilbert spaces [O] . Németh, S. Z. 2013

机译：公制投影到凸锥上的对偶性与度量投影到其在Hilbert空间中的对偶

Strong Duality of the Kantorovich-Rubinstein Mass Transshipment Problem in Metric Spaces

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