感觉Optimal Transport Theory逐步成为近年热门的机器学习theoretical tool。其在ML中的应用也是很广泛,如一大类生成模型。其众多成功案例中,背后有OT来做支撑的如Wasserstein GAN。从理论分析出发,实现很小的改变就解决了原始GAN训练稳定性,collapse mode等问题。近来涉及到要使用相关理论,故将该工具分享给大家,若有谬误...
最近读了SINKHORN DISTANCES: LIGHTSPEED COMPUTATION OF OPTIMAL TRANSPORTATION DISTANCES。SINKHORN DISTANCE… 阅读全文 最优传输怎么入门? theigrams 观察员 推荐先看博客,有一个直观的印象Wasserstein GAN and the Kantorovich-Rubinstein Duality这个应该是… ...
P.Bernard & B.Buffoni: Optimal mass transportation and Mather theory. Journal of the European Mathematical Society, to appear.P. Bernard and B. Bu¤oni, Optimal mass transportation and Mather theory, J. Eur. Math. Soc. 9 (2007), 85-121....
Optimal mass transportation and Mather theory. 来自 EBSCO 喜欢 0 阅读量: 60 作者:Bernard,Patrick,Buffoni,Boris 摘要: We study the Monge transportation problem when the cost is the action associated to a Lagrangian function on a compact manifold. We show that the transportation can be ...
Designing and optimizing the structure of urban transportation networks is a challenging task. In this study, we propose a method inspired by optimal transport theory and the principle of economy of scale that uses little information in input to generate structures that are similar to those of publ...
In 1987 she joined the Department of Mathematics of the UPC as a lecturer and became Associate Professor in 2001. Her research interests include the application of graph theory in the analysis and design of interconnection networks and task scheduling in fog computing environments, and also in ...
Load forecasting of electric vehicle charging station based on grey theory and neural network Energy Rep., 7 (2021), pp. 487-492 View PDFView articleView in ScopusGoogle Scholar Gampa et al., 2020 Gampa S.R., Jasthi K., Goli P., Das D., Bansal R.C. Grasshopper optimization algorithm...
Optimal transportation and applications : Existence and stability results in the L1 theory of optimal transportation, in: Optimal transportation and applications - Ambrosio, Pratelli - 2003... Ambrosio - Springer, 被引量: 153发表: 0年 Lecture notes on optimal transport problems . , (), p. 9-...
2013, Transportation Research Part B: Methodological Citation Excerpt : Actually a stochastic programming extension of bilevel programming, whose underlying principles have been laid out by Patriksson and Wynter (1999), has been proposed by Patriksson and Wynter (1997) for addressing a structural opti...
[13] Mémoli, Facundo (2011).Gromov–Wasserstein distances and the metric approach to object matching. Foundations of computational mathematics 11.4 : 417-487. [14] Knott, M. and Smith, C. S. (1984).On the optimal mapping of distributions, Journal of Optimization Theory and Applications Vol ...