Jointly clustering rows and columns of binary matrices: Algorithms and trade-offs

Jiaming Xu, Rui Wu, Kai Zhu, Bruce Hajek, R. Srikant, Lei Ying

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In standard clustering problems, data points are represented by vectors, and by stacking them together, one forms a data matrix with row or column cluster structure. In this paper, we consider a class of binary matrices, arising in many applications, which exhibit both row and column cluster structure, and our goal is to exactly recover the underlying row and column clusters by observing only a small fraction of noisy entries. We first derive a lower bound on the minimum number of observations needed for exact cluster recovery. Then, we study three algorithms with different running time and compare the number of observations needed by them for successful cluster recovery. Our analytical results show smooth time-data trade-offs: one can gradually reduce the computational complexity when increasingly more observations are available..

Original languageEnglish (US)
Title of host publicationSIGMETRICS 2014 - Proceedings of the 2014 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Systems
PublisherAssociation for Computing Machinery
Pages29-41
Number of pages13
ISBN (Print)9781450327893
DOIs
StatePublished - Jan 1 2014
Event2014 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Systems, SIGMETRICS 2014 - Austin, TX, United States
Duration: Jun 16 2014Jun 20 2014

Publication series

NameSIGMETRICS 2014 - Proceedings of the 2014 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Systems

Other

Other2014 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Systems, SIGMETRICS 2014
CountryUnited States
CityAustin, TX
Period6/16/146/20/14

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Keywords

  • Clustering
  • Low-Rank Matrix Recovery
  • Spectral Method

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Modeling and Simulation

Cite this

Xu, J., Wu, R., Zhu, K., Hajek, B., Srikant, R., & Ying, L. (2014). Jointly clustering rows and columns of binary matrices: Algorithms and trade-offs. In SIGMETRICS 2014 - Proceedings of the 2014 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Systems (pp. 29-41). (SIGMETRICS 2014 - Proceedings of the 2014 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Systems). Association for Computing Machinery. https://doi.org/10.1145/2591971.2592005