Sparse Kernel PCA by Kernel K-means and preimage reconstruction algorithms

  • Authors:
  • Sanparith Marukatat

  • Affiliations:
  • Information Research and Development Division, National Electronics and Computer Technology Center, Pathumthani, Thailand

  • Venue:
  • PRICAI'06 Proceedings of the 9th Pacific Rim international conference on Artificial intelligence
  • Year:
  • 2006

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Abstract

Kernel PCA, like other kernel-based techniques, is suffered from memory requirement and computational problems as well as from a tedious training procedure. This work shows that the objective function of Kernel PCA, i.e. the reconstruction error can be upper bounded by the distortion of K-means algorithm in the feature space. From this relation, we propose a simplification of Kernel PCA's training procedure by Kernel K-means algorithm. The application of preimage reconstruction algorithm allows further simplification and leads to a more computational economic solution.