Decomposition bounds for marginal MAP

作者: Alexander Ihler , Qiang Liu , Wei Ping

DOI:

关键词:

摘要: Marginal MAP inference involves making predictions in systems defined with latent variables or missing information. It is significantly more difficult than pure marginalization and tasks, for which a large class of efficient convergent variational algorithms, such as dual decomposition, exist. In this work, we generalize decomposition to generic power sum task, includes marginal MAP, along special cases. Our method based on block coordinate descent algorithm new convex bound, that guaranteed converge monotonically, can be parallelized efficiently. We demonstrate our approach queries real-world problems from the UAI approximate challenge, showing framework faster reliable previous methods.

参考文章(40)
Amnon Shashua, Jian Peng, Tamir Hazan, Tightening fractional covering upper bounds on the partition function for high-order region graphs uncertainty in artificial intelligence. pp. 356- 366 ,(2012)
Alexander Ihler, Qiang Liu, Variational algorithms for marginal MAP Journal of Machine Learning Research. ,vol. 14, pp. 3165- 3200 ,(2013)
Alex Ihler, Qiang Liu, Wei Ping, Marginal Structured SVM with Hidden Variables international conference on machine learning. pp. 190- 198 ,(2014)
Nicholas Ruozzi, Sekhar Tatikonda, Message-Passing Algorithms: Reparameterizations and Splittings IEEE Transactions on Information Theory. ,vol. 59, pp. 5860- 5881 ,(2013) , 10.1109/TIT.2013.2259576
Jeremy Jancsary, Gerald Matz, Convergent Decomposition Solvers for Tree-reweighted Free Energies international conference on artificial intelligence and statistics. pp. 388- 398 ,(2011)
Adnan Darwiche, James D. Park, Solving MAP exactly using systematic search uncertainty in artificial intelligence. pp. 459- 468 ,(2002)
Arnaud Doucet, Simon J. Godsill, Christian P. Robert, Marginal maximum a posteriori estimation using Markov chain Monte Carlo Statistics and Computing. ,vol. 12, pp. 77- 84 ,(2002) , 10.1023/A:1013172322619
Changhe Yuan, Eric A. Hansen, Efficient computation of jointree bounds for systematic MAP search international joint conference on artificial intelligence. pp. 1982- 1989 ,(2009)
Tommi S. Jaakkola, Amir Globerson, Approximate inference using conditional entropy decompositions international conference on artificial intelligence and statistics. pp. 130- 138 ,(2007)