Title
Unifying Local Consistency and MAX SAT Relaxations for Scalable Inference with Rounding Guarantees.
Abstract
We prove the equivalence of first-order local consistency relaxations and the MAX SAT relaxation of Goemans and Williamson (1994) for a class of MRFs we refer to as logical MRFs. This allows us to combine the advantages of each into a single MAP inference technique: solving the local consistency relaxation with any of a number of highly scalable message-passing algorithms, and then obtaining a high-quality discrete solution via a guaranteed rounding procedure when the relaxation is not tight. Logical MRFs are a general class of models that can incorporate many common dependencies, such as logical implications and mixtures of supermodular and submodular potentials. They can be used for many structured prediction tasks, including natural language processing, computer vision, and computational social science. We show that our new inference technique can improve solution quality by as much as 20% without sacrificing speed on problems with over one million dependencies.
Year
Venue
Field
2015
JMLR Workshop and Conference Proceedings
Computer science,Structured prediction,Equivalence (measure theory),Artificial intelligence,Maximum satisfiability problem,Local consistency,Mathematical optimization,Inference,Submodular set function,Algorithm,Rounding,Machine learning,Scalability
DocType
Volume
ISSN
Conference
38
1938-7288
Citations 
PageRank 
References 
5
0.43
27
Authors
3
Name
Order
Citations
PageRank
Stephen H. Bach1665.70
Bert Huang256339.09
Lise Getoor34365320.21