Factored principal components analysis, with applications to face recognition

被引：11

作者：

Dryden, Ian L. ^{[1
]}

Bai, Li ^{[2
]}

Brignell, Christopher J. ^{[1
]}

Shen, Linlin ^{[3
]}

机构：

[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

[2] Univ Nottingham, Sch Comp Sci, Nottingham NG7 2RD, England

[3] Shen Zhen Univ, Sch Informat & Engn, Shenzhen, Peoples R China

来源：

STATISTICS AND COMPUTING | 2009年 / 19卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

Face recognition; Forensic identification; Gabor wavelets; Kernel density estimator; Likelihood ratio; Multivariate normal; Principal components analysis; 2-DIMENSIONAL PCA; REPRESENTATION;

D O I：

10.1007/s11222-008-9087-6

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A dimension reduction technique is proposed for matrix data, with applications to face recognition from images. In particular, we propose a factored covariance model for the data under study, estimate the parameters using maximum likelihood, and then carry out eigendecompositions of the estimated covariance matrix. We call the resulting method factored principal components analysis. We also develop a method for classification using a likelihood ratio criterion, which has previously been used for evaluating the strength of forensic evidence. The methodology is illustrated with applications in face recognition.

引用

页码：229 / 238

页数：10

共 26 条

[1] Evaluation of transfer evidence for three-level multivariate data with the use of graphical models
Aitken, C. G. G.
Lucy, D.
Zadora, G.
Curran, J. M.
[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2006, 50 (10) : 2571 - 2588
[2] Evaluation of trace evidence in the form of multivariate data
Aitken, CGG
Lucy, D
[J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 2004, 53 : 109 - 122
[3] A two-level model for evidence evaluation
Aitken, Colin G. G.
Zadora, Grzegorz
Lucy, David
[J]. JOURNAL OF FORENSIC SCIENCES, 2007, 52 (02) : 412 - 419
[4] Bai L, 2006, INT C PATT RECOG, P511
[5] Bailly-Bailliére E, 2003, LECT NOTES COMPUT SC, V2688, P625
[6] BRIGNELL CJ, 2007, THESIS U NOTTINGHAM
[7] UNDERSTANDING FACE RECOGNITION
BRUCE, V
YOUNG, A
[J]. BRITISH JOURNAL OF PSYCHOLOGY, 1986, 77 : 305 - 327
[8] LIBSVM: A Library for Support Vector Machines
Chang, Chih-Chung
Lin, Chih-Jen
[J]. ACM TRANSACTIONS ON INTELLIGENT SYSTEMS AND TECHNOLOGY, 2011, 2 (03)
[9] The MLE algorithm for the matrix normal distribution
Dutilleul, P
[J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 1999, 64 (02) : 105 - 123
[10] GENERAL-CLASS OF COVARIANCE-STRUCTURES FOR 2 OR MORE REPEATED FACTORS IN LONGITUDINAL DATA-ANALYSIS
GALECKI, AT
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1994, 23 (11) : 3105 - 3119

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