梳理随机定位的多种构建方法，打通不同领域的研究壁垒。
Perspectives on Stochastic Localization
- 整合概率、理论计算机等多领域对随机定位的构造方法
- 揭示不同构造间的内在联系，形成统一理解框架
- 适合希望跨领域应用该技术的研究者参考
我们综述了Eldan提出的随机定位过程的不同视角，这一强大构造在高维概率和算法设计中已有诸多重要应用。与以往综述不同，本文重点呈现所有已知的Eldan随机定位的替代构造，并强调这些构造之间的关联。通过汇集原本分散在概率论、理论计算机科学、信息论及机器学习等不同社区中的思想，我们希望提升随机定位方法的可及性，促进其未来更广泛的应用。
原文摘要 · Abstract (English)
We survey different perspectives on the stochastic localization process of Eldan, a powerful construction that has had many exciting recent applications in high-dimensional probability and algorithm design. Unlike prior surveys on this topic, our focus is on giving a self-contained presentation of all known alternative constructions of Eldan's stochastic localization, with an emphasis on connections between different constructions. Our hope is that by collecting these perspectives, some of which had primarily arisen within a particular community (e.g., probability theory, theoretical computer science, information theory, or machine learning), we can broaden the accessibility of stochastic localization, and ease its future use.
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