An affinity-based new local distance function and similarity measure for kNN algorithm

  • Authors:
  • Gautam Bhattacharya;Koushik Ghosh;Ananda S. Chowdhury

  • Affiliations:
  • Department of Physics, University Institute of Technology, University of Burdwan, Golapbag (North), Burdwan 713104, India;Department of Mathematics, University Institute of Technology, University of Burdwan, Golapbag (North), Burdwan 713104, India;Department of Electronics and Telecommunication Engineering, Jadavpur University, Kolkata 700032, India

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 2012

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Abstract

In this paper, we propose a modified version of the k-nearest neighbor (kNN) algorithm. We first introduce a new affinity function for distance measure between a test point and a training point which is an approach based on local learning. A new similarity function using this affinity function is proposed next for the classification of the test patterns. The widely used convention of k, i.e., k=[@/N] is employed, where N is the number of data used for training purpose. The proposed modified kNN algorithm is applied on fifteen numerical datasets from the UCI machine learning data repository. Both 5-fold and 10-fold cross-validations are used. The average classification accuracy, obtained from our method is found to exceed some well-known clustering algorithms.