Optimal transport, old and newljk.imag.fr/membres/Emmanuel.Maitre/lib/exe/fetch.php?media=b07.stflour.pdf (C´edric Villani, 数学界的时尚大佬) Computational Optimal Transportarxiv.org/abs/1803.00567 1.Optimal transport 问题描述 问题引入:最优的运输以及物资分配问题一直以来都被人们不断研究...
Optimal Transport. Old and New 机译:最佳运输。新旧 获取原文 获取原文并翻译 | 示例 获取外文期刊封面目录资料 开具论文收录证明 >> 页面导航 摘要 著录项 相似文献 相关主题 摘要 Dieses eindrucksvolle Werk von C. Villani im Umfang von 973 Seiten ist eine Fortsetzung, eine Vertiefung und Erweiter...
Optimal Transport: Old and New 来自 dialnet.unirioja.es 喜欢 0 阅读量: 532 作者: Cédric Villani 摘要: At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge...
他有两本非常著名的相关书籍,Topics in Optimal Transportation和Optimal Transport: Old and New。但我对相关理论研究并没有太多了解和认识。较多关注这一领域大概还是从知道Marco Cuturi和Gabriel Peyré等人的一系列工作开始。这里特别提到的一本相关书籍就是Computational Optimal Transport。 https://arxiv.org/pdf/...
The rank constraint on the transport matrix can help recover the corrupted subspace structures and eliminate the noise to some extent when dealing with corrupted source data. The solution to this relaxed and regularized optimal transport framework is a convex optimization problem that can be solved ...
2.4 Extensions and variants of the multi-marginal prob- lem Recently, several variants of (2) have been introduced. These include the opti- mal partial transport problem, where only a prescribed fraction of the mass is to be coupled, and the martingale optimal transport problem, where the ...
Villani C.: Optimal transport: old and new, volume 338 of Grundlehren der mathematischen Wissenschaften. Springer, New York (2009) About this Article Title On the local structure of optimal measures in the multi-marginal optimal transportation problem Journal Calculus of Variations and Partial ...
In Section 3, we present preliminaries of optimal transport. We investigate our proposed OT-Filter in Section 4. Furthermore, we con- duct extensive empirical studies in Section 5 and conclude the paper in Section 6. 2. Related Work 2.1. Learning with Noisy La...
View PDFReferences [1] L. Ambrosio Lecture notes on optimal transport problems Mathematical Aspects of Evolving Interfaces, Lecture Notes in Math., vol. 1812, Funchal, 2000, Springer, Berlin (2003), pp. 1-52 CrossrefGoogle Scholar [2] L. Ambrosio, A. Pratelli Existence and stability results...
and propose a non-parametric approach for discovering conserved quantities. We test this new approach on a variety of physical systems and demonstrate that our method is able to both identify the number of conserved quantities and extract their values. Using tools from optimal transport theory and ...