On the Mitchell similarity measure and its application to pattern recognition

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.

► We revised questionable results in (Mitchell, 2003) that had been cited 47 times.
► We proved that similarity measures based on one-norm is larger than that on two-norm.
► We proposed a new similarity measure for pattern recognition problems.