English(EN) On the Condition Number Dependency in Bilevel Optimization

发现双层优化新下界

作者 PulseAugur 编辑部 · [1 个来源] · 2026-06-10 04:00

研究人员为双层优化问题建立了一个新的下界，具体为 $\Omega(\kappa_y^{5/2} \epsilon^{-2})$。这一发现揭示了双层问题和 minimax 问题在条件数依赖性方面存在的差距。研究还将这些下界扩展到各种设置，包括高阶光滑函数、随机预言机和凸目标。 AI

影响为优化算法建立了理论极限，可能影响未来的 AI 模型训练技术。

排序理由这是一篇详细介绍双层优化新理论发现的研究论文。[lever_c_demoted from research: ic=1 ai=1.0]

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

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arXiv cs.AI TIER_1 English(EN) · Lesi Chen, Jingzhao Zhang · 2026-06-10 04:00

关于二阶优化中条件数依赖性的研究

arXiv:2511.22331v2 Announce Type: replace-cross Abstract: Bilevel optimization minimizes an objective function, defined by an upper-level problem whose feasible region is the solution of a lower-level problem. We study the oracle complexity of finding an $\epsilon$-stationary poi…