Parallel Multicut Segmentation via Dual Decomposition

@inproceedings{Yarkony2014ParallelMS,
  title={Parallel Multicut Segmentation via Dual Decomposition},
  author={Julian Yarkony and Thorsten Beier and Pierre Baldi and Fred A. Hamprecht},
  booktitle={NFMCP},
  year={2014}
}
We propose a new outer relaxation of the multicut polytope, along with a dual decomposition approach for correlation clustering and multicut segmentation, for general graphs. Each subproblem is a minimum st-cut problem and can thus be solved efficiently. An optimal reparameterization is found using subgradients and affords a new characterization of the basic LP relaxation of the multicut problem, as well as informed decoding heuristics. The algorithm we propose for solving the problem… 

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