A Tight Analysis of Bethe Approximation for Permanent

Explore a rigorous analysis of the Bethe approximation for permanent in this 23-minute IEEE conference talk. Delve into the problem, its approximation history, and various approximation factors. Learn about better approximation techniques, including the Beta approximation, and understand the distribution on perfect matchings and trees. Examine upper bounds and gain insights into both good and bad approximation methods. Presented by Nima Anari and Alireza Rezaei, this talk provides a comprehensive overview of the topic, from introduction to summary.

Introduction
The Problem
Approximation History
Approximation Factors
Better Approximation
Beta Approximation
Bad Approximation
Distribution on Perfect Matchings
Distribution on Trees
Upper Bounds
Summary