Empirical Inference Conference Paper 2010

Multi-agent random walks for local clustering

Thumb ticker sm thumb morteza alamgir
Empirical Inference
Thumb ticker sm ulrike luxburg
Statistical Learning Theory
Professor, University of Tübingen
Max Planck Fellow

We consider the problem of local graph clustering where the aim is to discover the local cluster corresponding to a point of interest. The most popular algorithms to solve this problem start a random walk at the point of interest and let it run until some stopping criterion is met. The vertices visited are then considered the local cluster. We suggest a more powerful alternative, the multi-agent random walk. It consists of several “agents” connected by a fixed rope of length l. All agents move independently like a standard random walk on the graph, but they are constrained to have distance at most l from each other. The main insight is that for several agents it is harder to simultaneously travel over the bottleneck of a graph than for just one agent. Hence, the multi-agent random walk has less tendency to mistakenly merge two different clusters than the original random walk. In our paper we analyze the multi-agent random walk theoretically and compare it experimentally to the major local graph clustering algorithms from the literature. We find that our multi-agent random walk consistently outperforms these algorithms.

Author(s): Alamgir, M. and von Luxburg, U.
Journal: Proceedings of the IEEE International Conference on Data Mining (ICDM 2010)
Pages: 18-27
Year: 2010
Month: December
Day: 0
Editors: Webb, G. I., B. Liu, C. Zhang, D. Gunopulos, X. Wu
Publisher: IEEE
Bibtex Type: Conference Paper (inproceedings)
Address: Piscataway, NJ, USA
DOI: 10.1109/ICDM.2010.87
Event Name: IEEE International Conference on Data Mining (ICDM 2010)
Event Place: Sydney, Australia
Digital: 0
Electronic Archiving: grant_archive
Language: en
Organization: Max-Planck-Gesellschaft
School: Biologische Kybernetik
Links:

BibTex

@inproceedings{6850,
  title = {Multi-agent random walks for local clustering},
  journal = {Proceedings of the IEEE International Conference on Data Mining (ICDM 2010)},
  abstract = {We consider the problem of local graph clustering
  where the aim is to discover the local cluster corresponding
  to a point of interest. The most popular algorithms to solve
  this problem start a random walk at the point of interest and
  let it run until some stopping criterion is met. The vertices
  visited are then considered the local cluster. We suggest a more
  powerful alternative, the multi-agent random walk. It consists
  of several “agents” connected by a fixed rope of length l. All
  agents move independently like a standard random walk on
  the graph, but they are constrained to have distance at most l
  from each other. The main insight is that for several agents it is
  harder to simultaneously travel over the bottleneck of a graph
  than for just one agent. Hence, the multi-agent random walk
  has less tendency to mistakenly merge two different clusters
  than the original random walk. In our paper we analyze
  the multi-agent random walk theoretically and compare it
  experimentally to the major local graph clustering algorithms
  from the literature. We find that our multi-agent random walk
  consistently outperforms these algorithms.},
  pages = {18-27},
  editors = {Webb, G. I., B. Liu, C. Zhang, D. Gunopulos, X. Wu},
  publisher = {IEEE},
  organization = {Max-Planck-Gesellschaft},
  school = {Biologische Kybernetik},
  address = {Piscataway, NJ, USA},
  month = dec,
  year = {2010},
  slug = {6850},
  author = {Alamgir, M. and von Luxburg, U.},
  month_numeric = {12}
}