Geodesic
Effect of choice of dissimilarity measure on classification efficiency with nearest neighbor method
Discussiones Mathematicae. Probability and Statistics, Tome 25 (2005) no. 2, pp. 217-239

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In this paper we will precisely analyze the nearest neighbor method for different dissimilarity measures, classical and weighed, for which methods of distinguishing were worked out. We will propose looking for weights in the space of discriminant coordinates. Experimental results based on a number of real data sets are presented and analyzed to illustrate the benefits of the proposed methods. As classical dissimilarity measures we will use the Euclidean metric, Manhattan and post office metric. We gave the first two metrics weights and now these measures are not metrics because the triangle inequality does not hold. Howeover, it does not make them useless for the nearest neighbor classification method. Additionally, we will analyze different methods of tie-breaking.
Keywords: nearest neighbor method, discriminant coordinates, dissimilarity measures, estimators of classification error 
Górecki, Tomasz. Effect of choice of dissimilarity measure on classification efficiency with nearest neighbor method. Discussiones Mathematicae. Probability and Statistics, Tome 25 (2005) no. 2, pp. 217-239. http://geodesic.mathdoc.fr/item/DMPS_2005_25_2_a4/
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