Title
Putting MRFs on a Tensor Train.
Abstract
In the paper we present a new framework for dealing with probabilistic graphical models. Our approach relies on the recently proposed Tensor Train format (TT-format) of a tensor that while being compact allows for efficient application of linear algebra operations. We present a way to convert the energy of a Markov random field to the TT-format and show how one can exploit the properties of the TT-format to attack the tasks of the partition function estimation and the MAP-inference. We provide theoretical guarantees on the accuracy of the proposed algorithm for estimating the partition function and compare our methods against several state-of-the-art algorithms.
Year
Venue
Field
2014
ICML
Linear algebra,Tensor,Markov random field,Partition function (statistical mechanics),Computer science,Exploit,Theoretical computer science,Artificial intelligence,Tensor train,Graphical model,Machine learning
DocType
Volume
Issue
Conference
32
1
Citations 
PageRank 
References 
5
0.56
17
Authors
4
Name
Order
Citations
PageRank
Alexander Novikov1987.62
Anton Rodomanov250.56
A. Osokin343019.01
Dmitry Vetrov426321.56