The Bayes Decision Rule Induced Similarity Measures

• Published in: IEEE transactions on pattern analysis and machine intelligence Vol. 29; no. 6; pp. 1086 - 1090
• Main Author: Liu, Chengjun
• Format: Journal Article
• Language: English
• Published: Los Alamitos, CA IEEE 01.06.2007; IEEE Computer Society; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Applied sciences; Artificial Intelligence; Bayes Theorem; Bayesian analysis; Computer science; control theory; systems; Computer Simulation; Computer vision; Covariance matrix; Exact sciences and technology; Face recognition; Face Recognition Grand Challenge (FRGC); Image Enhancement - methods; Image Interpretation, Computer-Assisted - methods; Information Storage and Retrieval - methods; Intelligence; Large-scale systems; Models, Statistical; Nearest neighbor searches; Numerical Analysis, Computer-Assisted; Pattern analysis; Pattern recognition; Pattern Recognition, Automated - methods; Pattern recognition. Digital image processing. Computational geometry; Principal component analysis; PRM Whitened Cosine (PWC) similarity measure; Probability density function; Robustness; Similarity; whitened cosine similarity measure; Within-Class Whitened Cosine (WWC) similarity measure; PRM Whitened Cosine (PWC) similarity measure; Face recognition; Similarity; Image processing; Face Recognition Grand Challenge (FRGC); whitened cosine similarity measure; Pattern recognition; Decision rule; Facies; Database; Metric; Pattern analysis; Bayes decision; Artificial intelligence; Within- Class Whitened Cosine (WWC) similarity measure
• ISSN: 0162-8828; 1939-3539
• DOI: 10.1109/TPAMI.2007.1063

This paper first shows that the popular whitened cosine similarity measure is related to the Bayes decision rule under specific assumptions and then presents two new similarity measures: the PRM whitened cosine (PWC) similarity measure and the within-class whitened cosine (WWC) similarity measure. Experiments on face recognition using the Face Recognition Grand Challenge (FRGC) version 2 database show the effectiveness of the new measures