By Preetum Nakkiran, Gal Kaplun, Yamini Bansal, Tristan Yang, Boaz Barak, and Ilya Sutskever This is a lightly edited and expanded version of the following post on the OpenAI blog about the following paper. While I usually don't advertise my own papers on this blog, I thought this might be of interest to theorists, and … Continue reading Deep Double Descent (cross-posted on OpenAI blog)
Author: preetum
Introduction to AMP and the Replica Trick
(This post from the lecture by Yueqi Sheng) In this post, we will talk about detecting phase transitions using Approximate-Message-Passing (AMP), which is an extension of Belief-Propagation to “dense” models. We will also discuss the Replica Symmetric trick, which is a heuristic method of analyzing phase transitions. We focus on the Rademacher spiked Wigner model (defined below), … Continue reading Introduction to AMP and the Replica Trick