CS Theory -- Erdős Lecture II: Counting contigency tables

Lecturer: 

Igor Pak (UCLA)

Contingency tables are matrices with fixed row and column sums.  They are in natural correspondence with bipartite multi-graphs with fixed degrees and can also be viewed as integer points in transportation polytopes.  Counting and random sampling of contingency tables is a fundamental problem in statistics which remains unresolved in full generality.  

In the talk, I will review both asymptotic and MCMC approaches, and then present a new Markov chain construction which provably works for sparse margins.  I conclude with some curious experimental results and conjectures. 

Joint work with Sam Dittmer. 

This talk is independent of the first Erdős Lecture.

Date: 

Wed, 12/12/2018 - 10:30 to 12:00

Location: 

Rothberg (CS building) B-220