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Decentralized and Equitable Optimal Transport
March 8, 2024, 5:42 a.m. | Ivan Lau, Shiqian Ma, C\'esar A. Uribe
cs.LG updates on arXiv.org arxiv.org
Abstract: This paper considers the decentralized (discrete) optimal transport (D-OT) problem. In this setting, a network of agents seeks to design a transportation plan jointly, where the cost function is the sum of privately held costs for each agent. We reformulate the D-OT problem as a constraint-coupled optimization problem and propose a single-loop decentralized algorithm with an iteration complexity of O(1/{\epsilon}) that matches existing centralized first-order approaches. Moreover, we propose the decentralized equitable optimal transport (DE-OT) …
abstract agent agents arxiv cost costs cs.lg decentralized design function math.oc network optimization paper transport transportation type
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