Wavelet-based estimation of a discriminant function

被引:4
作者
Chang, WJ [1 ]
Kim, SH
Vidakovic, B
机构
[1] Rensselaer Polytech Inst, Dept Decis Sci & Engn Syst, Troy, NY 12180 USA
[2] Georgia Inst Technol, Sch Ind & Syst Engn, Atlanta, GA 30332 USA
关键词
discrimination; wavelets; regression;
D O I
10.1002/asmb.498
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper, we consider wavelet-based binary linear classifiers. Both consistency results and implementational issues are addressed. We show that under mild assumptions on the design density wavelet discrimination rules are L-2-consistent. The proposed method is illustrated on synthetic data sets in which the 'truth' is known and on an applied discrimination problem from the industrial field. Copyright (C) 2003 John Wiley Sons, Ltd.
引用
收藏
页码:185 / 198
页数:14
相关论文
共 50 条
[41]   Wavelet-based numerical homogenization [J].
Dorobantu, M ;
Engquist, B .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1998, 35 (02) :540-559
[42]   On wavelet-based numerical homogenization [J].
Chertock, A ;
Levy, D .
MULTISCALE MODELING & SIMULATION, 2005, 3 (01) :65-88
[43]   Wavelet-based gradient boosting [J].
Dubossarsky, E. ;
Friedman, J. H. ;
Ormerod, J. T. ;
Wand, M. P. .
STATISTICS AND COMPUTING, 2016, 26 (1-2) :93-105
[44]   A wavelet-based method for estimation of the autonomic balance after experimentally drug administration [J].
Postolache, G ;
Carvalho, LS ;
Rocha, I ;
Postolache, O ;
Girao, PS .
CCECE 2003: CANADIAN CONFERENCE ON ELECTRICAL AND COMPUTER ENGINEERING, VOLS 1-3, PROCEEDINGS: TOWARD A CARING AND HUMANE TECHNOLOGY, 2003, :2083-2086
[45]   Two-step wavelet-based estimation for Gaussian mixed fractional processes [J].
Abry, Patrice ;
Didier, Gustavo ;
Li, Hui .
STATISTICAL INFERENCE FOR STOCHASTIC PROCESSES, 2019, 22 (02) :157-185
[46]   Wavelet-based density estimation for noise reduction in plasma simulations using particles [J].
van Yen, Romain Nguyen ;
del-Castillo-Negrete, Diego ;
Schneider, Kai ;
Farge, Marie ;
Chen, Guangye .
JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 229 (08) :2821-2839
[47]   Two-step wavelet-based estimation for Gaussian mixed fractional processes [J].
Patrice Abry ;
Gustavo Didier ;
Hui Li .
Statistical Inference for Stochastic Processes, 2019, 22 :157-185
[48]   A wavelet-based algorithm for mesocyclone detection [J].
Desrochers, PR ;
Yee, SYK .
WAVELET APPLICATIONS IN SIGNAL AND IMAGE PROCESSING V, 1997, 3169 :470-480
[49]   A WAVELET-BASED APPROACH TO BREAKPOINT DETECTION [J].
Basta, Milan .
10TH INTERNATIONAL DAYS OF STATISTICS AND ECONOMICS, 2016, :123-133
[50]   Wavelet-Based Quantum Field Theory [J].
Altaisky, Mikhail V. .
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2007, 3