A cutting plane algorithm for a clustering problem
Mathematical Programming: Series A and B
Mathematical Programming: Series A and B
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Computers and Intractability: A Guide to the Theory of NP-Completeness
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WG '97 Proceedings of the 23rd International Workshop on Graph-Theoretic Concepts in Computer Science
Machine Learning
Correlation clustering in general weighted graphs
Theoretical Computer Science - Approximation and online algorithms
Comparing clusterings---an information based distance
Journal of Multivariate Analysis
Solution stability in linear programming relaxations: graph partitioning and unsupervised learning
ICML '09 Proceedings of the 26th Annual International Conference on Machine Learning
Globally optimal image partitioning by multicuts
EMMCVPR'11 Proceedings of the 8th international conference on Energy minimization methods in computer vision and pattern recognition
Carving: scalable interactive segmentation of neural volume electron microscopy images
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part I
Probabilistic image segmentation with closedness constraints
ICCV '11 Proceedings of the 2011 International Conference on Computer Vision
Break and conquer: efficient correlation clustering for image segmentation
SIMBAD'13 Proceedings of the Second international conference on Similarity-Based Pattern Recognition
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We address the problem of partitioning a volume image into a previously unknown number of segments, based on a likelihood of merging adjacent supervoxels. Towards this goal, we adapt a higher-order probabilistic graphical model that makes the duality between supervoxels and their joint faces explicit and ensures that merging decisions are consistent and surfaces of final segments are closed. First, we propose a practical cutting-plane approach to solve the MAP inference problem to global optimality despite its NP-hardness. Second, we apply this approach to challenging large-scale 3D segmentation problems for neural circuit reconstruction (Connectomics), demonstrating the advantage of this higher-order model over independent decisions and finite-order approximations.