From Optimization to Sampling Through Gradient Flows

التفاصيل البيبلوغرافية
العنوان: From Optimization to Sampling Through Gradient Flows
المؤلفون: Trillos, N. Garcia, Hosseini, B., Sanz-Alonso, D.
سنة النشر: 2023
المجموعة: Statistics
مصطلحات موضوعية: Statistics - Computation
الوصف: This article overviews how gradient flows, and discretizations thereof, are useful to design and analyze optimization and sampling algorithms. The interplay between optimization, sampling, and gradient flows is an active research area; our goal is to provide an accessible and lively introduction to some core ideas, emphasizing that gradient flows uncover the conceptual unity behind many optimization and sampling algorithms, and that they give a rich mathematical framework for their rigorous analysis.
Comment: This article will appear in the Notices of the American Mathematical Society
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2302.11449
رقم الأكسشن: edsarx.2302.11449
قاعدة البيانات: arXiv