Last-iterate convergence of modified predictive method via high-resolution differential equation on bilinear game

Keke Li; Xinmin Yang

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arXiv · 2405.14613

Last-iterate convergence of modified predictive method via high-resolution differential equation on bilinear game

Keke Li·Xinmin Yang

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Abstract

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.

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BibTeX RIS

Keke Li, Xinmin Yang. 2024-05-23. Last-iterate convergence of modified predictive method via high-resolution differential equation on bilinear game. https://arxiv.org/abs/2405.14613

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