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Autori principali: Li, Keke, Yang, Xinmin
Natura: Preprint
Pubblicazione: 2024
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Accesso online:https://arxiv.org/abs/2405.14613
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author Li, Keke
Yang, Xinmin
author_facet Li, Keke
Yang, Xinmin
contents This paper discusses the convergence of the modified predictive method (MPM) proposed by Liang and stokes corresponding to high-resolution differential equations (HRDE) in bilinear games. First, we present the high-resolution differential equations (MPM-HRDE) corresponding to the MPM. Then, we discuss the uniqueness of the solution for MPM-HRDE in bilinear games. Finally, we provide the convergence results of MPM-HRDE in bilinear games. The results obtained in this paper address the gap in the existing literature and extend the conclusions of related works.
format Preprint
id arxiv_https___arxiv_org_abs_2405_14613
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Last-iterate convergence of modified predictive method via high-resolution differential equation on bilinear game
Li, Keke
Yang, Xinmin
Optimization and Control
This paper discusses the convergence of the modified predictive method (MPM) proposed by Liang and stokes corresponding to high-resolution differential equations (HRDE) in bilinear games. First, we present the high-resolution differential equations (MPM-HRDE) corresponding to the MPM. Then, we discuss the uniqueness of the solution for MPM-HRDE in bilinear games. Finally, we provide the convergence results of MPM-HRDE in bilinear games. The results obtained in this paper address the gap in the existing literature and extend the conclusions of related works.
title Last-iterate convergence of modified predictive method via high-resolution differential equation on bilinear game
topic Optimization and Control
url https://arxiv.org/abs/2405.14613