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Worst-case bounds on the quality of max-product fixed-points

2020-01-06 | |  75 |   34 |   0

Abstract

We study worst-case bounds on the quality of any fixed point assignment of the max-product algorithm for Markov Random Fields (MRF). We start providing a bound independent of the MRF structure and parameters. Afterwards, we show how this bound can be improved for MRFs with specific structures such as bipartite graphs or grids. Our results provide interesting insight into the behavior of max-product. For example, we prove that max-product provides very good results (at least 90% optimal) on MRFs with large variable-disjoint cycles1 .

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