Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
Finding MAPs for belief networks is NP-hard
Artificial Intelligence
Reverse search for enumeration
Discrete Applied Mathematics - Special volume: first international colloquium on graphs and optimization (GOI), 1992
Fast Approximate Energy Minimization via Graph Cuts
IEEE Transactions on Pattern Analysis and Machine Intelligence
What Energy Functions Can Be Minimizedvia Graph Cuts?
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Comparison of Algorithms for Inference and Learning in Probabilistic Graphical Models
IEEE Transactions on Pattern Analysis and Machine Intelligence
Convergent Tree-Reweighted Message Passing for Energy Minimization
IEEE Transactions on Pattern Analysis and Machine Intelligence
VLDB '06 Proceedings of the 32nd international conference on Very large data bases
IEEE Transactions on Pattern Analysis and Machine Intelligence
Graphical Models, Exponential Families, and Variational Inference
Graphical Models, Exponential Families, and Variational Inference
Exact solution of permuted submodular minsum problems
EMMCVPR'07 Proceedings of the 6th international conference on Energy minimization methods in computer vision and pattern recognition
Probabilistic Graphical Models: Principles and Techniques - Adaptive Computation and Machine Learning
MRF Energy Minimization and Beyond via Dual Decomposition
IEEE Transactions on Pattern Analysis and Machine Intelligence
MAP estimation via agreement on trees: message-passing and linear programming
IEEE Transactions on Information Theory
ICCV '11 Proceedings of the 2011 International Conference on Computer Vision
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We propose a new exhaustive search algorithm for optimization in discrete graphical models. When pursued to the full search depth (typically intractable), it is guaranteed to converge to a global optimum, passing through a series of monotonously improving local optima that are guaranteed to be optimal within a given and increasing Hamming distance. For a search depth of 1, it specializes to ICM. Between these extremes, a tradeoff between approximation quality and runtime is established. We show this experimentally by improving approximations for the non-submodular models in the MRF benchmark [1] and Decision Tree Fields [2].