On the Mitchell similarity measure and its application to pattern recognition

  • Authors:
  • Peterson Julian;Kuo-Chen Hung;Shu-Jen Lin

  • Affiliations:
  • Department of Transportation, Central Police University, Taiwan;Department of Logistics Management, National Defense University, Taiwan;Department of Transportation Logistics and Marketing Management, Toko University, Taiwan

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

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Abstract

This paper is a response to the similarity measure and pattern recognition problem of Mitchell that was published in Pattern Recognition Letters, 2003. The purpose of this paper is threefold. First, we reviewed and revised her computation for similarity measures. Second, we proved that the similarity values for the one-norm should be larger than that for the two-norm for her pattern recognition problem. Third, we proposed a more scattered similarity measure to help researchers determine patterns. Our findings may shed light on the ongoing debate between Li and Cheng (2002) and Mitchell (2003).