Perspectives on Stochastic Localization

Fuente: arXiv
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Autori principali: Shi, Bobby, Tian, Kevin, Zhang, Matthew S.
Natura: Preprint
Pubblicazione: 2025
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author Shi, Bobby
Tian, Kevin
Zhang, Matthew S.
author_facet Shi, Bobby
Tian, Kevin
Zhang, Matthew S.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_04460
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Perspectives on Stochastic Localization
Shi, Bobby
Tian, Kevin
Zhang, Matthew S.
Probability
Data Structures and Algorithms
Machine Learning
Statistics Theory
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.
title Perspectives on Stochastic Localization
topic Probability
Data Structures and Algorithms
Machine Learning
Statistics Theory
url https://arxiv.org/abs/2510.04460