Clarification of assumptions in the relationship between the Bayes decision rule and the whitened cosine similarity measure

Chengjun Liu

doi:10.1109/TPAMI.2008.66

Clarification of assumptions in the relationship between the Bayes decision rule and the whitened cosine similarity measure

Chengjun Liu

Research output: Contribution to journal › Comment/debate › peer-review

7 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1116-1117
Number of pages	2
Journal	IEEE Transactions on Pattern Analysis and Machine Intelligence
Volume	30
Issue number	6
DOIs	https://doi.org/10.1109/TPAMI.2008.66
State	Published - Jun 2008
Externally published	Yes

All Science Journal Classification (ASJC) codes

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

Keywords

Bayes decision rule
Similarity measures
Whitened cosine similarity measure

Access to Document

10.1109/TPAMI.2008.66

Cite this

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title = "Clarification of assumptions in the relationship between the Bayes decision rule and the whitened cosine similarity measure",

abstract = "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.",

keywords = "Bayes decision rule, Similarity measures, Whitened cosine similarity measure",

author = "Chengjun Liu",

note = "Funding Information: The author would like to thank Dr. Marco Loog for raising questions about Assumptions 3 and 4 in [3], which leads to the clarification of them in this paper. The author{\textquoteright}s great appreciation also goes to the anonymous reviewers for their constructive comments and suggestions. This work was partially supported by grants 2006-IJ-CX-K033 and 2007-RG-CX-K011 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 Department of Justice.",

year = "2008",

month = jun,

doi = "10.1109/TPAMI.2008.66",

language = "English (US)",

volume = "30",

pages = "1116--1117",

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

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publisher = "IEEE Computer Society",

number = "6",

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T1 - Clarification of assumptions in the relationship between the Bayes decision rule and the whitened cosine similarity measure

AU - Liu, Chengjun

N1 - Funding Information: The author would like to thank Dr. Marco Loog for raising questions about Assumptions 3 and 4 in [3], which leads to the clarification of them in this paper. The author’s great appreciation also goes to the anonymous reviewers for their constructive comments and suggestions. This work was partially supported by grants 2006-IJ-CX-K033 and 2007-RG-CX-K011 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 Department of Justice.

PY - 2008/6

Y1 - 2008/6

N2 - 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.

AB - 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.

KW - Bayes decision rule

KW - Similarity measures

KW - Whitened cosine similarity measure

UR - https://www.scopus.com/pages/publications/43249084707

UR - https://www.scopus.com/pages/publications/43249084707#tab=citedBy

U2 - 10.1109/TPAMI.2008.66

DO - 10.1109/TPAMI.2008.66

M3 - Comment/debate

C2 - 18421116

AN - SCOPUS:43249084707

SN - 0162-8828

VL - 30

SP - 1116

EP - 1117

JO - IEEE Transactions on Pattern Analysis and Machine Intelligence

JF - IEEE Transactions on Pattern Analysis and Machine Intelligence

IS - 6

ER -

Clarification of assumptions in the relationship between the Bayes decision rule and the whitened cosine similarity measure

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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