A Tutorial on Dual Decomposition and Lagrangian Relaxation for Inference in Natural Language Processing

• Main Author: Rush, Alexander Matthew (Contributor)
• Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory (Contributor), Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science (Contributor)
• Format: Article
• Language: English
• Published: Association for the Advancement of Artificial Intelligence, 2013-03-12T15:38:53Z.
• Subjects: Article
• Online Access: Get fulltext

Dual decomposition, and more generally Lagrangian relaxation, is a classical method for combinatorial optimization; it has recently been applied to several inference problems in natural language processing (NLP). This tutorial gives an overview of the technique. We describe example algorithms, describe formal guarantees for the method, and describe practical issues in implementing the algorithms. While our examples are predominantly drawn from the NLP literature, the material should be of general relevance to inference problems in machine learning. A central theme of this tutorial is that Lagrangian relaxation is naturally applied in conjunction with a broad class of combinatorial algorithms, allowing inference in models that go significantly beyond previous work on Lagrangian relaxation for inference in graphical models.
United States. Defense Advanced Research Projects Agency (Machine Reading Program) (Contract FA8750-09-C-0181.)