Last-iterate convergence of modified predictive method via high-resolution differential equation on bilinear game
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917673683648512 |
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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 |