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.

翻译：本文综述了Eldan随机定位过程的不同视角，这一强大构造在近期高维概率论与算法设计中获得了诸多激动人心的应用。与先前相关综述不同，本文重点在于对Eldan随机定位所有已知替代构造进行自成体系的阐述，并着重探讨不同构造之间的内在联系。通过汇集这些主要源自特定领域（如概率论、理论计算机科学、信息论或机器学习）的研究视角，我们期望能够拓宽随机定位方法的可及性，并促进其未来的应用发展。