Title
Message Passing For Soft Constraint Dual Decomposition
Abstract
Dual decomposition provides the opportunity to build complex, yet tractable, structured prediction models using linear constraints to link together submodels that have available MAP inference routines. However, since some constraints might not hold on every single example, such models can often be improved by relaxing the requirement that these constraints always hold, and instead replacing them with soft constraints that merely impose a penalty if violated. A dual objective for the resulting MAP inference problem differs from the hard constraint problem's associated dual decomposition objective only in that the dual variables are subject to box constraints. This paper introduces a novel primaldual block coordinate descent algorithm for minimizing this general family of box-constrained objectives. Through experiments on two natural language corpus-wide inference tasks, we demonstrate the advantages of our approach over the current alternative, based on copying variables, adding auxiliary submodels and using traditional dual decomposition. Our algorithm performs inference in the same model as was previously published for these tasks, and thus is capable of achieving the same accuracy, but provides a 2-10x speedup over the current state of the art.
Year
Venue
Field
2014
UNCERTAINTY IN ARTIFICIAL INTELLIGENCE
Computer science,Structured prediction,Copying,Artificial intelligence,Coordinate descent,Message passing,Speedup,Mathematical optimization,Inference,Algorithm,Natural language,Constraint satisfaction dual problem,Machine learning
DocType
Citations 
PageRank 
Conference
2
0.38
References 
Authors
15
4
Name
Order
Citations
PageRank
David Belanger11928.82
Passos, Alexandre24083167.18
Sebastian Riedel31625103.73
Andrew Kachites McCallumzy4192031588.22