Title
On clusters in markov chains
Abstract
Motivated by the computational difficulty of analyzing very large Markov chains, we define a notion of clusters in (not necessarily reversible) Markov chains, and explore the possibility of analyzing a cluster “in vitro,” without regard to the remainder of the chain. We estimate the stationary probabilities of the states in the cluster using only transition information for these states, and bound the error of the estimate in terms of parameters measuring the quality of the cluster. Finally, we relate our results to searching in a hyperlinked environment, and provide supporting experimental results.
Year
DOI
Venue
2006
10.1007/11682462_9
LATIN
Keywords
Field
DocType
stationary probability,transition information,hyperlinked environment,markov chain,large markov chain,computational difficulty
Cluster (physics),Markov chain mixing time,Computer science,Markov chain,Remainder,Algorithm,Balance equation,Stationary distribution,Stationary state,Examples of Markov chains
Conference
Volume
ISSN
ISBN
3887
0302-9743
3-540-32755-X
Citations 
PageRank 
References 
0
0.34
6
Authors
3
Name
Order
Citations
PageRank
Nir Ailon1111470.74
Steve Chien232319.12
Cynthia Dwork39137821.87