On dual decomposition and linear programming relaxations for natural language processing

  • Authors:
  • Alexander M. Rush;David Sontag;Michael Collins;Tommi Jaakkola

  • Affiliations:
  • MIT CSAIL, Cambridge, MA;MIT CSAIL, Cambridge, MA;MIT CSAIL, Cambridge, MA;MIT CSAIL, Cambridge, MA

  • Venue:
  • EMNLP '10 Proceedings of the 2010 Conference on Empirical Methods in Natural Language Processing
  • Year:
  • 2010

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Abstract

This paper introduces dual decomposition as a framework for deriving inference algorithms for NLP problems. The approach relies on standard dynamic-programming algorithms as oracle solvers for sub-problems, together with a simple method for forcing agreement between the different oracles. The approach provably solves a linear programming (LP) relaxation of the global inference problem. It leads to algorithms that are simple, in that they use existing decoding algorithms; efficient, that they avoid exact algorithms for the full model; and often exact, in that empirically they often recover the correct solution in spite of using an LP relaxation. We give experimental results on two problems: 1) the combination of two lexicalized parsing models; and 2) the combination of a lexicalized parsing model and a trigram part-of-speech tagger.