PTAS for MAP Assignment on Pairwise Markov Random Fields in Planar Graphs
Discrete Mathematics
2015-04-07 v1
Abstract
We present a PTAS for computing the maximum a posteriori assignment on Pairwise Markov Random Fields with non-negative weights in planar graphs. This algorithm is practical and not far behind state-of-the-art techniques in image processing. MAP on Pairwise Markov Random Fields with (possibly) negative weights cannot be approximated unless P = NP, even on planar graphs. We also show via reduction that this yields a PTAS for one scoring function of Correlation Clustering in planar graphs.
Cite
@article{arxiv.1504.01311,
title = {PTAS for MAP Assignment on Pairwise Markov Random Fields in Planar Graphs},
author = {Eli Fox-Epstein and Roie Levin and David Meierfrankenfeld},
journal= {arXiv preprint arXiv:1504.01311},
year = {2015}
}