Title
Subset Selection for Gaussian Markov Random Fields
Abstract
Given a Gaussian Markov random field, we consider the problem of selecting a subset of variables to observe which minimizes the total expected squared prediction error of the unobserved variables. We first show that finding an exact solution is NP-hard even for a restricted class of Gaussian Markov random fields, called Gaussian free fields, which arise in semi-supervised learning and computer vision. We then give a simple greedy approximation algorithm for Gaussian free fields on arbitrary graphs. Finally, we give a message passing algorithm for general Gaussian Markov random fields on bounded tree-width graphs.
Year
Venue
Field
2012
CoRR
Mathematical optimization,Random field,Gaussian random field,Markov model,Gaussian,Gaussian process,Variable-order Markov model,Hidden Markov model,Gaussian function,Mathematics
DocType
Volume
Citations 
Journal
abs/1209.5991
0
PageRank 
References 
Authors
0.34
12
2
Name
Order
Citations
PageRank
Satyaki Mahalanabis172.28
Daniel Stefankovic224328.65