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Issue No.06 - June (2008 vol.30)
pp: 1114-1115
ABSTRACT
Recently, an interpretation of the whitened cosine similarity measure as a Bayes decision rule was proposed (C. Liu, "The Bayes Decision Rule Induced Similarity Measures,'' IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 29, no. 6, pp. 1086-1090, June 2007. This communication makes the observation that some of the distributional assumptions made to derive this measure are very restrictive and, considered simultaneously, even inconsistent.
INDEX TERMS
Statistical, Classifier design and evaluation
CITATION
Marco Loog, "On Distributional Assumptions and Whitened Cosine Similarities", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol.30, no. 6, pp. 1114-1115, June 2008, doi:10.1109/TPAMI.2007.70838
REFERENCES
[1] C. Liu, “The Bayes Decision Rule Induced Similarity Measures,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 29, no. 6, pp. 1086-1090, June 2007.
[2] G.J. McLachlan, Discriminant Analysis and Statistical Pattern Recognition. John Wiley & Sons, 1992.
[3] K. Fukunaga, Introduction to Statistical Pattern Recognition. Academic Press, 1990.
[4] M. Loog, R.P.W. Duin, and R. Haeb-Umbach, “Multiclass Linear Dimension Reduction by Weighted Pairwise Fisher Criteria,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 23, no. 7, pp. 762-766, July 2001.
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