Fast orthogonal nonnegative matrix tri-factorization for simultaneous clustering

  • Authors:
  • Zhao Li;Xindong Wu;Zhenyu Lu

  • Affiliations:
  • Department of Computer Science, University of Vermont, United States;,Department of Computer Science, University of Vermont, United States;Department of Computer Science, University of Vermont, United States

  • Venue:
  • PAKDD'10 Proceedings of the 14th Pacific-Asia conference on Advances in Knowledge Discovery and Data Mining - Volume Part II
  • Year:
  • 2010

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Abstract

Orthogonal Nonnegative Matrix Tri-Factorization (ONMTF), a dimension reduction method using three small matrices to approximate an input data matrix, clusters the rows and columns of an input data matrix simultaneously However, ONMTF is computationally expensive due to an intensive computation of the Lagrangian multipliers for the orthogonal constraints In this paper, we introduce Fast Orthogonal Nonnegative Matrix Tri-Factorization (FONT), which uses approximate constants instead of computing the Lagrangian multipliers As a result, FONT reduces the computational complexity significantly Experiments on document datasets show that FONT outperforms ONMTF in terms of clustering quality and running time Moreover, FONT is further accelerated by incorporating Alternating Least Squares, and can be much faster than ONMTF.