Clarification of Assumptions in the Relationship between the Bayes Decision Rule and the Whitened Cosine Similarity Measure

Authors:
Chengjun Liu
Affiliations:
New Jersey Institute of Technology, Newark
Venue:
IEEE Transactions on Pattern Analysis and Machine Intelligence
Year:
2008

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Abstract

This paper first clarifies Assumption 3 (which misses a constant) and Assumption 4 (where the whitened pattern vectors refer to the whitened means) in paper "The Bayes Decision Rule Induced Similarity Measures" (IEEE Transactions on Pattern Analysis and Machine Intelligence), vol. 29, no. 6, pp. 1086-1090, 2007), and then provides examples to show that the assumptions after the clarification are consistent.