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Summary of A Proximal Algorithm For Sampling, by Jiaming Liang et al.


A Proximal Algorithm for Sampling

by Jiaming Liang, Yongxin Chen

First submitted to arxiv on: 28 Feb 2022

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Machine Learning (stat.ML)

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GrooveSquid.com Paper Summaries

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
This paper tackles challenging sampling problems involving non-smooth potentials, which can be either convex or non-convex. The authors propose a novel proximal sampling algorithm, inspired by optimization techniques, to efficiently sample from these complex distributions. By leveraging the alternating sampling framework (ASF) and rejection sampling, the proposed method achieves better complexity than existing methods in most cases.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper solves a tricky problem in statistics that involves collecting data from special kinds of functions. These functions can be curved or straight-lined, and they’re not always easy to work with. The authors develop a new way to collect this data using an old method called Gibbs sampling, but with some clever tricks to make it faster and more accurate. This new approach is helpful because it can handle many different types of functions, and it’s better than what people have been doing before.

Keywords

* Artificial intelligence  * Optimization