English(EN) Min-Max Optimization Requires Exponentially Many Queries

研究发现 Min-Max 优化需要指数级查询

作者 PulseAugur 编辑部 · [1 个来源] · 2026-05-13 17:34

一篇新的研究论文探讨了非凸非凹函数 min-max 优化的计算复杂性。该研究表明，对于此类函数，找到近似驻点需要指数级的查询次数，尤其是在考虑近似误差和问题维度时。 AI

影响这一理论发现可能会影响依赖 min-max 优化技术的复杂 AI 模型训练的效率。

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arXiv cs.LG TIER_1 English(EN) · Alexandros Hollender · 2026-05-13 17:34

Min-Max 优化需要指数级数量的查询

We study the query complexity of min-max optimization of a nonconvex-nonconcave function $f$ over $[0,1]^d \times [0,1]^d$. We show that, given oracle access to $f$ and to its gradient $\nabla f$, any algorithm that finds an $\varepsilon$-approximate stationary point must make a …