A Tutorial on Dual Decomposition and Lagrangian Relaxation for Inference in Natural Language Processing
Abstract
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.
Cite
Text
Rush and Collins. "A Tutorial on Dual Decomposition and Lagrangian Relaxation for Inference in Natural Language Processing." Journal of Artificial Intelligence Research, 2012. doi:10.1613/JAIR.3680Markdown
[Rush and Collins. "A Tutorial on Dual Decomposition and Lagrangian Relaxation for Inference in Natural Language Processing." Journal of Artificial Intelligence Research, 2012.](https://mlanthology.org/jair/2012/rush2012jair-tutorial/) doi:10.1613/JAIR.3680BibTeX
@article{rush2012jair-tutorial,
title = {{A Tutorial on Dual Decomposition and Lagrangian Relaxation for Inference in Natural Language Processing}},
author = {Rush, Alexander M. and Collins, Michael},
journal = {Journal of Artificial Intelligence Research},
year = {2012},
pages = {305-362},
doi = {10.1613/JAIR.3680},
volume = {45},
url = {https://mlanthology.org/jair/2012/rush2012jair-tutorial/}
}