arXiv Analytics

Sign in

arXiv:1904.04546 [math.OC]AbstractReferencesReviewsResources

(Martingale) Optimal Transport And Anomaly Detection With Neural Networks: A Primal-dual Algorithm

Pierre Henry-Labord`ere

Published 2019-04-09Version 1

In this paper, we introduce a primal-dual algorithm for solving (martingale) optimal transportation problems, with cost functions satisfying the twist condition, close to the one that has been used recently for training generative adversarial networks. As some additional applications, we consider anomaly detection and automatic generation of financial data.

Related articles: Most relevant | Search more
arXiv:2308.10534 [math.OC] (Published 2023-08-21)
Universal Approximation of Parametric Optimization via Neural Networks with Piecewise Linear Policy Approximation
arXiv:1711.06785 [math.OC] (Published 2017-11-18)
A primal-dual algorithm with optimal stepsizes and its application in decentralized consensus optimization
arXiv:2410.12441 [math.OC] (Published 2024-10-16)
A Primal-dual algorithm for image reconstruction with ICNNs