An Embarrassingly Simple Speed-Up of Belief Propagation with Robust Potentials

Details An Embarrassingly Simple Speed-Up of Belief Propagation with Robust Potentials An Embarrassingly Simple Speed-Up of Belief Propagation with Robust Potentials

2010-09-30

arxiv.org/abs/1010.0012v1

Computer Science

Computer Vision and Pattern Recognition

10 pages, 3 figures

Scientific paper

We present an exact method of greatly speeding up belief propagation (BP) for a wide variety of potential functions in pairwise MRFs and other graphical models. Specifically, our technique applies whenever the pairwise potentials have been {\em truncated} to a constant value for most pairs of states, as is commonly done in MRF models with robust potentials (such as stereo) that impose an upper bound on the penalty assigned to discontinuities; for each of the $M$ possible states in one node, only a smaller number $m$ of compatible states in a neighboring node are assigned milder penalties. The computational complexity of our method is $O(mM)$, compared with $O(M^2)$ for standard BP, and we emphasize that the method is {\em exact}, in contrast with related techniques such as pruning; moreover, the method is very simple and easy to implement. Unlike some previous work on speeding up BP, our method applies both to sum-product and max-product BP, which makes it useful in any applications where marginal probabilities are required, such as maximum likelihood estimation. We demonstrate the technique on a stereo MRF example, confirming that the technique speeds up BP without altering the solution.

Affiliated with

Also associated with

No associations

Rating

An Embarrassingly Simple Speed-Up of Belief Propagation with Robust Potentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An Embarrassingly Simple Speed-Up of Belief Propagation with Robust Potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Embarrassingly Simple Speed-Up of Belief Propagation with Robust Potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-326944