English(EN) Non-Archimedean Polydisc Spaces and Applications to Optimisation

新的优化框架使用非阿基米德多圆盘空间

作者 PulseAugur 编辑部 · [1 个来源] · 2026-06-09 04:00

研究人员引入了一个利用非阿基米德多圆盘空间的新型优化框架，其灵感来源于Berkovich几何。这些空间由非阿基米德域上的闭球乘积构成，提供了适合优化的分层结构和几何特性。该工作包括测地线唯一性和特定函数类逼近性质的理论发展，以及一个用于实现这些优化过程的开源Julia库。 AI

排序理由这是一篇详细介绍新数学框架及其实现的学术论文。[lever_c_demoted from research: ic=1 ai=0.4]

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arXiv cs.LG TIER_1 English(EN) · Paul Lezeau, Yiannis Fam, Anthea Monod, Yue Ren · 2026-06-09 04:00

非阿基米德多圆盘空间及其在优化中的应用

arXiv:2606.07782v1 Announce Type: cross Abstract: We propose a new framework for optimisation over non-Archimedean spaces inspired by Berkovich geometry. Specifically, we introduce polydisc spaces, which consists of products of closed balls over a non-Archimedean field. These spa…