Partial Optimality by Pruning for MAP-Inference with General Graphical Models

@article{Swoboda2016PartialOB,
  title={Partial Optimality by Pruning for MAP-Inference with General Graphical Models},
  author={P. Swoboda and Alexander Shekhovtsov and J{\"o}rg H. Kappes and C. Schn{\"o}rr and Bogdan Savchynskyy},
  journal={IEEE Transactions on Pattern Analysis and Machine Intelligence},
  year={2016},
  volume={38},
  pages={1370-1382}
}
We consider the energy minimization problem for undirected graphical models, also known as MAP-inference problem for Markov random fields which is NP-hard in general. We propose a novel polynomial time algorithm to obtain a part of its optimal non-relaxed integral solution. Our algorithm is initialized with variables taking integral values in the solution of a convex relaxation of the MAP-inference problem and iteratively prunes those, which do not satisfy our criterion for partial optimality… Expand
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References

SHOWING 1-10 OF 60 REFERENCES
Partial Optimality by Pruning for MAP-Inference with General Graphical Models
Global MAP-Optimality by Shrinking the Combinatorial Search Area with Convex Relaxation
MAP estimation via agreement on trees: message-passing and linear programming
Partial Optimality via Iterative Pruning for the Potts Model
A bundle approach to efficient MAP-inference by Lagrangian relaxation
Norm-Product Belief Propagation: Primal-Dual Message-Passing for Approximate Inference
Maximum Persistency in Energy Minimization
  • Alexander Shekhovtsov
  • Mathematics, Computer Science
  • 2014 IEEE Conference on Computer Vision and Pattern Recognition
  • 2014
Towards Efficient and Exact MAP-Inference for Large Scale Discrete Computer Vision Problems via Combinatorial Optimization
A Linear Programming Approach to Max-Sum Problem: A Review
  • Tomás Werner
  • Mathematics, Computer Science
  • IEEE Transactions on Pattern Analysis and Machine Intelligence
  • 2007
...
1
2
3
4
5
...