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Online Projective Nonnegative Matrix Factorization for Large Datasets

  • Zhirong Yang
  • He Zhang
  • Erkki Oja
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7665)

Abstract

Projective Nonnegative Matrix Factorization (PNMF) is one of the recent methods for computing low-rank approximations to data matrices. It is advantageous in many practical application domains such as clustering, graph partitioning, and sparse feature extraction. However, up to now a scalable implementation of PNMF for large-scale machine learning problems has been lacking. Here we provide an online algorithm for fast PNMF learning with low memory cost. The new algorithm simply applies multiplicative update rules iteratively on small subsets of the data, with historical data naturally accumulated. Consequently users do not need extra efforts to tune any optimization parameters such as learning rates or the history weight. In addition to scalability and convenience, empirical studies on synthetic and real-world datasets indicate that our online algorithm runs much faster than the existing batch version.

Keywords

Online learning PNMF NMF large-scale datasets 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Zhirong Yang
    • 1
  • He Zhang
    • 1
  • Erkki Oja
    • 1
  1. 1.Department of Information and Computer ScienceAalto University School of ScienceEspooFinland

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