• Publication
  • 2008
  • Issue No. 6 - June
  • Abstract - Clarification of Assumptions in the Relationship between the Bayes Decision Rule and the Whitened Cosine Similarity Measure
 This Article 
   
 Share 
   
 Bibliographic References 
   
 Add to: 
 
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb
 
 Search 
   
Clarification of Assumptions in the Relationship between the Bayes Decision Rule and the Whitened Cosine Similarity Measure
June 2008 (vol. 30 no. 6)
pp. 1116-1117
Chengjun Liu, New Jersey Institute of Technology, Newark
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.

[1] P.N. Belhumeur, J.P. Hespanha, and D.J. Kriegman, “Eigenfaces vs. Fisherfaces: Recognition Using Class Specific Linear Projection,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 19, no. 7, pp. 711-720, July 1997.
[2] K. Fukunaga, Introduction to Statistical Pattern Recognition, second ed. Academic Press, 1990.
[3] 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.
[4] M. Loog, “On Distributional Assumptions and Whitened Cosine Similarities,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 30, no. 6, pp. 1114-1115, June 2008.
[5] K.V. Mardia, J.T. Kent, and J.M. Bibby, Multivariate Analysis. Academic Press, 1979.

Index Terms:
Pattern Recognition, Image Processing and Computer Vision
Citation:
Chengjun Liu, "Clarification of Assumptions in the Relationship between the Bayes Decision Rule and the Whitened Cosine Similarity Measure," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 30, no. 6, pp. 1116-1117, June 2008, doi:10.1109/TPAMI.2008.66
Usage of this product signifies your acceptance of the Terms of Use.