Tree consistency and bounds on the performance of the max-product algorithm and its generalizations

@article{Wainwright2004TreeCA,
  title={Tree consistency and bounds on the performance of the max-product algorithm and its generalizations},
  author={Martin J. Wainwright and Tommi S. Jaakkola and Alan S. Willsky},
  journal={Statistics and Computing},
  year={2004},
  volume={14},
  pages={143-166}
}
Finding the maximum a posteriori (MAP) assignment of a discrete-state distribution specified by a graphical model requires solving an integer program. The max-product algorithm, also known as the max-plus or min-sum algorithm, is an iterative method for (approximately) solving such a problem on graphs with cycles. We provide a novel perspective on the algorithm, which is based on the idea of reparameterizing the distribution in terms of so-called pseudo-max-marginals on nodes and edges of the… CONTINUE READING
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