Lab Home | Phone | Search
Center for Nonlinear Studies  Center for Nonlinear Studies
 Home 
 People 
 Current 
 Affiliates 
 Alumni 
 Visitors 
 Students 
 Research 
 ICAM-LANL 
 Quantum 
 Publications 
 Publications 
 2007 
 2006 
 2005 
 2004 
 2003 
 2002 
 2001 
 2000 
 <1999 
 Conferences 
 Workshops 
 Sponsorship 
 Talks 
 Colloquia 
 Colloquia Archive 
 Seminars 
 Postdoc Seminars Archive 
 Quantum Lunch 
 CMS Colloquia 
 Q-Mat Seminars 
 Q-Mat Seminars Archive 
 Archive 
 Kac Lectures 
 Dist. Quant. Lecture 
 Ulam Scholar 
 Colloquia 
 
 Jobs 
 Students 
 Summer Research 
 Student Application 
 Visitors 
 Description 
 Past Visitors 
 Services 
 General 
 PD Travel Request 
 
 History of CNLS 
 
 Maps, Directions 
 CNLS Office 
 T-Division 
 LANL 
 
Thursday, February 17, 2011
2:00 PM - 3:00 PM
CNLS Conference Room (TA-3, Bldg 1690)

Postdoc Seminar

Orbit-Product View of Inference in Graphical Models (Gaussian and Beyond)

Jason Johnson
T-4 and CNLS

In this seminar, I will discuss inference in probabilistic graphical models and the heuristic method of belief propagation. We give a graphical interpretation of inference as computing sums or products over walks and orbits (equivalence classes of closed, aperiodic walks) where the weight of a walk is given by a product of edge weights in the graphical model. This point of view has its origins in graph theory (determinant representation of the Ihara zeta function of a graph) and analysis of inference in Gaussian graphical models. We also describe results that point the way towards similar analysis in binary-variable graphical models, based on Feynman's interpretation of the Kac-Ward determinant representation of the partition function of the planar Ising model and generalizations of this representation to higher-genus graphs due to Martin Loebl.

Host: Peter Loxley, loxley@lanl.gov