A new proposal for locality preserving projection

  • Authors:
  • Gitam Shikkenawis;Suman K. Mitra

  • Affiliations:
  • Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, Gujarat, India;Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, Gujarat, India

  • Venue:
  • PerMIn'12 Proceedings of the First Indo-Japan conference on Perception and Machine Intelligence
  • Year:
  • 2012

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Abstract

Locality Preserving Projection (LPP) is the recently proposed approach for dimensionality reduction to preserve the neighbourhood information. It is widely used for finding the intrinsic dimensionality of data. As LPP preserves the information about the nearest neighbours of data points, it may lead to misclassification in the overlapping regions of two or more classes. The conventional method works on a graph based technique where weights given to the edges are used to emphasize the local information. In this paper, we propose a new weighing scheme for the neighbourhood preserving graph which also gives importance to the data points that are at a moderate distance, in addition to the nearest points. This helps in resolving the ambiguity occurring in the overlapping regions. The proposal is tested on varying datasets.