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Clarification of Assumptions in the Relationship between the Bayes Decision Rule and the Whitened Cosine Similarity Measure
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TPAMI.2008.66June 2008 (vol. 30 no. 6) pp. 1116-1117
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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.
 
 
BibTex
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@article{ 10.1109/TPAMI.2008.66,
author = {Chengjun Liu},
title = {Clarification of Assumptions in the Relationship between the Bayes Decision Rule and the Whitened Cosine Similarity Measure},
journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence},
volume = {30},
number = {6},
issn = {0162-8828},
year = {2008},
pages = {1116-1117},
doi = {http://doi.ieeecomputersociety.org/10.1109/TPAMI.2008.66},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Pattern Analysis and Machine Intelligence
TI - Clarification of Assumptions in the Relationship between the Bayes Decision Rule and the Whitened Cosine Similarity Measure
IS - 6
SN - 0162-8828
SP1116
EP1117
EPD - 1116-1117
A1 - Chengjun Liu,
PY - 2008
KW - Pattern Recognition
KW - Image Processing and Computer Vision
VL - 30
JA - IEEE Transactions on Pattern Analysis and Machine Intelligence
ER -
 
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] 1116 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, Mar. 2008, doi:10.1109/TPAMI.2008.66
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