Orbit-Product Representation and Correction of Gaussian Belief Propagation

author: Jason K. Johnson, Stochastic Systems Group, Massachusetts Institute of Technology, MIT
published: Aug. 26, 2009,   recorded: June 2009,   views: 3020


Related Open Educational Resources

Related content

Report a problem or upload files

If you have found a problem with this lecture or would like to send us extra material, articles, exercises, etc., please use our ticket system to describe your request and upload the data.
Enter your e-mail into the 'Cc' field, and we will keep you updated with your request's status.
Lecture popularity: You need to login to cast your vote.


We present a new view of Gaussian belief propagation (GaBP) based on a representa- tion of the determinant as a product over or- bits of a graph. We show that the GaBP determinant estimate captures totally back- tracking orbits of the graph and consider how to correct this estimate. We show that the missing orbits may be grouped into equiva- lence classes corresponding to backtrackless orbits and the contribution of each equiv- alence class is easily determined from the GaBP solution. Furthermore, we demon- strate that this multiplicative correction fac- tor can be interpreted as the determinant of a backtrackless adjacency matrix of the graph with edge weights based on GaBP. Finally, an efficient method is proposed to compute a truncated correction factor including all backtrackless orbits up to a specified length.

See Also:

Download slides icon Download slides: icml09_johnson_opr_01.pdf (223.5┬áKB)

Help icon Streaming Video Help

Link this page

Would you like to put a link to this lecture on your homepage?
Go ahead! Copy the HTML snippet !

Write your own review or comment:

make sure you have javascript enabled or clear this field: