Manifold Construction by Local Neighborhood Preservation

  • Authors:
  • Cheng-Yuan Liou;Wei-Chen Cheng

  • Affiliations:
  • Department of Computer Science and Information Engineering, National Taiwan University, Supported by National Science Council, Republic of China;Department of Computer Science and Information Engineering, National Taiwan University, Supported by National Science Council, Republic of China

  • Venue:
  • Neural Information Processing
  • Year:
  • 2008

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Abstract

This work presents a neighborhood preservation method to construct the latent manifold. This manifold preserves the relative Euclidean distances among neighboring data points. Its computation cost is close to the linear algorithm and its performance in preserving the local relationships is promising when we compared it with the methods, LLE and Isomap.