The Bayes decision rule induced similarity measures

Chengjun Liu

doi:10.1109/TPAMI.2007.1063

The Bayes decision rule induced similarity measures

Chengjun Liu

Research output: Contribution to journal › Article › peer-review

62 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1086-1090
Number of pages	5
Journal	IEEE Transactions on Pattern Analysis and Machine Intelligence
Volume	29
Issue number	6
DOIs	https://doi.org/10.1109/TPAMI.2007.1063
State	Published - Jun 2007
Externally published	Yes

All Science Journal Classification (ASJC) codes

Software
Computer Vision and Pattern Recognition
Computational Theory and Mathematics
Artificial Intelligence
Applied Mathematics

Keywords

Face Recognition Grand Challenge (FRGC)
PRM Whitened Cosine (PWC) similarity measure
Whitened cosine similarity measure
Within-Class Whitened Cosine (WWC) similarity measure

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10.1109/TPAMI.2007.1063

Cite this

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title = "The Bayes decision rule induced similarity measures",

abstract = "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.",

keywords = "Face Recognition Grand Challenge (FRGC), PRM Whitened Cosine (PWC) similarity measure, Whitened cosine similarity measure, Within-Class Whitened Cosine (WWC) similarity measure",

author = "Chengjun Liu",

note = "Funding Information: The author would like to thank the anonymous reviewers for their critical and constructive comments and suggestions. This work was partially supported by the NJCST/NJIT grant and by Award No. 2006-IJ-CX-K033 awarded by the National Institute of Justice, Office of Justice Programs, US Department of Justice. The opinions, findings, and conclusions or recommendations expressed in this publication are those of the author and do not necessarily reflect those of the US Department of Justice. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",

year = "2007",

month = jun,

doi = "10.1109/TPAMI.2007.1063",

language = "English (US)",

volume = "29",

pages = "1086--1090",

journal = "IEEE Transactions on Pattern Analysis and Machine Intelligence",

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number = "6",

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N1 - Funding Information: The author would like to thank the anonymous reviewers for their critical and constructive comments and suggestions. This work was partially supported by the NJCST/NJIT grant and by Award No. 2006-IJ-CX-K033 awarded by the National Institute of Justice, Office of Justice Programs, US Department of Justice. The opinions, findings, and conclusions or recommendations expressed in this publication are those of the author and do not necessarily reflect those of the US Department of Justice. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2007/6

Y1 - 2007/6

N2 - 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.

AB - 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.

KW - Face Recognition Grand Challenge (FRGC)

KW - PRM Whitened Cosine (PWC) similarity measure

KW - Whitened cosine similarity measure

KW - Within-Class Whitened Cosine (WWC) similarity measure

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AN - SCOPUS:34247557078

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SP - 1086

EP - 1090

JO - IEEE Transactions on Pattern Analysis and Machine Intelligence

JF - IEEE Transactions on Pattern Analysis and Machine Intelligence

IS - 6

ER -

The Bayes decision rule induced similarity measures

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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