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English(EN) Dual-Space Preconditioning for Variational Inequalities and Root-Finding Problems

用于变分不等式的新型对偶空间预处理框架

研究人员引入了一个新的对偶空间预处理框架,旨在增强求解变分不等式和求根问题的算法的分析和设计。该框架超越了传统的共协强性和Lipschitz连续性假设,提出了新颖的、广义的条件。所开发的算法可以被视为现有方法的变步长变体,提供了更简单的证明和更宽的步长范围,并且通过弱Minty型论证处理变分不等式。 AI

排序理由 该集群包含一篇在arXiv上发表的研究论文,详细介绍了一个新的数学框架。[lever_c_demoted from research: ic=1 ai=0.4]

在 arXiv cs.LG 阅读 →

AI 生成摘要 · Google Gemini · 来自 1 个来源。 我们如何撰写摘要 →

用于变分不等式的新型对偶空间预处理框架

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该集群包含一篇在arXiv上发表的研究论文,详细介绍了一个新的数学框架。[lever_c_demoted from research: ic=1 ai=0.4]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Jan Quan, Konstantinos Oikonomidis, Alexander Bodard, Panagiotis Patrinos ·

    对变分不等式和求根问题的双空间预处理

    arXiv:2611.13916v1 Announce Type: cross Abstract: This paper develops a dual-space preconditioning framework for variational inequalities and root-finding problems beyond classical cocoercivity and Lipschitz continuity assumptions. To this end, we introduce both a novel cocoerciv…