Message-Passing Algorithms for Sparse Network Alignment

作者: Mohsen Bayati , David F. Gleich , Amin Saberi , Ying Wang

DOI: 10.1145/2435209.2435212

关键词: Network alignmentAlgorithmGraphOntology alignmentComputer scienceMatching (graph theory)Small numberBelief propagationMessage passingVariation (game tree)Theoretical computer science

摘要: Network alignment generalizes and unifies several approaches for forming a matching or between the vertices of two graphs. We study mathematical programming framework network problem sparse variation it where only small number matches graphs are possible. propose new message passing algorithm that allows us to compute, very efficiently, approximate solutions problems with graph sizes as large hundreds thousands vertices. also provide extensive simulations comparing our algorithms best solvers on synthetic problems, bioinformatics three ontology including multilingual known labeled alignment.

参考文章(49)
W. W. Cohen and P. Ravikumar and S. Fienberg, A Comparison of String Metrics for Matching Names and Records ,(2003)
Marc Mézard, Riccardo Zecchina, Random K -satisfiability problem: From an analytic solution to an efficient algorithm Physical Review E. ,vol. 66, pp. 056126- ,(2002) , 10.1103/PHYSREVE.66.056126
Yuzhong Qu, Yanbing Wang, Ningsheng Jian, Wei Hu, GMO: A Graph Matching for Ontologies. Integrating Ontologies. ,(2005)
Christian Schellewald, Christoph Schnörr, Probabilistic Subgraph Matching Based on Convex Relaxation Lecture Notes in Computer Science. pp. 171- 186 ,(2005) , 10.1007/11585978_12
Rohit Singh, Jinbo Xu, Bonnie Berger, Pairwise global alignment of protein interaction networks by matching neighborhood topology research in computational molecular biology. pp. 16- 31 ,(2007) , 10.1007/978-3-540-71681-5_2
Otis Gospodnetić, Erik Hatcher, Doug Cutting, Lucene in Action ,(2004)
Tony Jebara, Bert C. Huang, Loopy Belief Propagation for Bipartite Maximum Weight b-Matching international conference on artificial intelligence and statistics. pp. 195- 202 ,(2007)
Mohammed El-Kebir, Jaap Heringa, Gunnar W. Klau, Lagrangian relaxation applied to sparse global network alignment pattern recognition in bioinformatics. pp. 225- 236 ,(2011) , 10.1007/978-3-642-24855-9_20
Yair Weiss, Kevin P. Murphy, Michael I. Jordan, Loopy belief propagation for approximate inference: an empirical study uncertainty in artificial intelligence. pp. 467- 475 ,(1999)
Ondřej Šváb, None, Exploiting patterns in ontology mapping international semantic web conference. ,vol. 4825, pp. 956- 960 ,(2007) , 10.1007/978-3-540-76298-0_77