14.1.3.2 Discriminant Analysis

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Discriminant Analysis. Linear Discriminant Analysis. Discriminant analysis determines which variables discriminate between two or more groups. See also Invariants -- Linear Discriminant Analysis, Fisher Linear Discriminant.

Discriminant Function Analysis,
StatSoftElectronic Text, 2003.
HTML Version. BibRef 0300

Larsen, L.E., Walter, D.O., McNew, J.J., Adey, W.R.,
On the problem of bias in error rate estimation for discriminant analysis,
PR(3), No. 3, October 1971, pp. 217-223.
WWW Version. 0309 BibRef

Chhikara, R.S., Odell, P.L.,
Discriminant analysis using certain normed exponential densities with emphasis on remote sensing application,
PR(5), No. 3, September 1973, pp. 259-272.
WWW Version. 0309 BibRef

Foley, D.H., and Sammon, Jr., J.W.,
An optimal set of discriminant vectors,
TC(24), No. 3, March 1975, pp. 281-289. See also nonlinear mapping for data structure analysis, A. BibRef 7503

McLachlan, G.J.,
Further results on the effect of intraclass correlation among training samples in discriminant analysis,
PR(8), No. 4, October 1976, pp. 273-275.
WWW Version. 0309 BibRef

McLachlan, G.J.,
Discriminant Analysis and Statistical Pattern Recognition,
John Wileyand Sons, New York, 1992. General reference book. BibRef 9200

Pudil, P.[Pavel], Bláha, S.[Svatopluk],
Evaluation of the effectiveness of features selected by discriminant analysis methods,
PR(14), No. 1-6, 1981, pp. 81-85.
WWW Version. 0309 BibRef

Lawoko, C.R.O., McLachlan, G.J.,
Some asymptotic results on the effect of autocorrelation on the error rates of the sample linear discriminant function,
PR(16), No. 1, 1983, pp. 119-121.
WWW Version. 0309 BibRef

Bobrowski, L., Niemiro, W.,
A method of synthesis of linear discriminant function in the case of nonseparability,
PR(17), No. 2, 1984, pp. 205-210.
WWW Version. 0309 BibRef

Okada, T.[Toshiniko], Tomita, S.[Shingo],
An optimal orthonormal system for discriminant analysis,
PR(18), No. 2, 1985, pp. 139-144.
WWW Version. 0309 BibRef

Tutz, G.E.[Gerhard E.],
Smoothed additive estimators for non-error rates in multiple discriminant analysis,
PR(18), No. 2, 1985, pp. 151-159.
WWW Version. 0309 BibRef

Krishnan, T., Nandy, S.C.,
Discriminant analysis with a stochastic supervisor,
PR(20), No. 4, 1987, pp. 379-384.
WWW Version. 0309 BibRef

Krishnan, T., Nandy, S.C.,
Efficiency of logistic-normal stochastic supervision,
PR(23), No. 11, 1990, pp. 1275-1279.
WWW Version. 0401logarithm of odds ratio of the supervisor classification has a normal distribution and is independent of the feature vector. BibRef

Katre, U.A., Krishnan, T.,
Pattern recognition with an imperfect supervisor,
PR(22), No. 4, 1989, pp. 423-431.
WWW Version. 0309 BibRef

Titterington, D.M.,
An alternative stochastic supervisor in discriminant analysis,
PR(22), No. 1, 1989, pp. 91-95.
WWW Version. 0309 BibRef

Krusinska, E.[Ewa],
Two step semi-optimal branch and bound algorithm for feature selection in mixed variable discrimination,
PR(22), No. 4, 1989, pp. 455-459.
WWW Version. 0309 BibRef

Wyman, F.J.[Frank J.], Young, D.M.[Dean M.], Turner, D.W.[Danny W.],
A comparison of asymptotic error rate expansions for the sample linear discriminant function,
PR(23), No. 7, 1990, pp. 775-783.
WWW Version. 0401 BibRef

Flasinski, M.[Mariusz], Lewicki, G.[Grzegorz],
The convergent method of constructing polynomial discriminant functions for pattern recognition,
PR(24), No. 10, 1991, pp. 1009-1015.
WWW Version. 0401 BibRef

Cox, T.F.[Trevor F.], Ferry, G.[Gillian],
Discriminant analysis using non-metric multidimensional scaling,
PR(26), No. 1, January 1993, pp. 145-153.
WWW Version. 0401 BibRef

Brasher, J.D., Kinser, J.M.,
Fractional-power synthetic discriminant functions,
PR(27), No. 4, April 1994, pp. 577-585.
WWW Version. 0401 BibRef

Lovell, D.R., Dance, C.R., Niranjan, M., Prager, R.W., Dalton, K.J., Derom, R.,
Feature-Selection Using Expected Attainable Discrimination,
PRL(19), No. 5-6, April 1998, pp. 393-402. 9808 BibRef

Saito, N.[Naoki], Coifman, R.R.[Ronald R.], Geshwind, F.B.[Frank B.], Warner, F.[Fred],
Discriminant feature extraction using empirical probability density estimation and a local basis library,
PR(35), No. 12, December 2002, pp. 2841-2852.
WWW Version. 0209 BibRef

Jing, X.Y.[Xiao-Yuan], Zhang, D.[David], Jin, Z.[Zhong],
Improvements on the Uncorrelated Optimal Discriminant Vectors,
PR(36), No. 8, August 2003, pp. 1921-1923.
WWW Version. 0304 See also Face recognition based on a group decision-making combination approach. BibRef

Xu, Y.[Yong], Yang, J.Y.[Jing-Yu], Jin, Z.[Zhong],
Theory analysis on FSLDA and ULDA,
PR(36), No. 12, December 2003, pp. 3031-3033.
WWW Version. 0310Uncorrelated linear discriminant analysis. See also Face recognition based on the uncorrelated discriminant transformation. BibRef

Jing, X.Y.[Xiao-Yuan], Zhang, D.[David], Jin, Z.[Zhong],
UODV: Improved Algorithm and Generalized Theory,
PR(36), No. 11, November 2003, pp. 2593-2602.
WWW Version. 0309 BibRef

Ma, J.S.[Jun-Shui], Theiler, J.[James], Perkins, S.[Simon],
Two realizations of a general feature extraction framework,
PR(37), No. 5, May 2004, pp. 875-887.
WWW Version. 0405Extension of conventional linear discriminant analysis. Kernel feature extraction, mean-norm feature extraction. BibRef

Chen, S.C.[Song-Can], Yang, X.[Xubing],
Alternative linear discriminant classifier,
PR(37), No. 7, July 2004, pp. 1545-1547.
WWW Version. 0405 BibRef

Park, C.H.[Cheong Hee], Park, H.S.[Hae-Sun],
A comparison of generalized linear discriminant analysis algorithms,
PR(41), No. 3, March 2008, pp. 1083-1097.
WWW Version. 0711Dimension reduction; Feature extraction; Generalized linear discriminant analysis; Kernel methods; Nonlinear discriminant analysis; Undersampled problems See also Fingerprint classification using fast Fourier transform and nonlinear discriminant analysis. BibRef

Ye, J.P.[Jie-Ping], Janardan, R.[Ravi], Park, C.H.[Cheong Hee], Park, H.S.[Hae-Sun],
An Optimization Criterion for Generalized Discriminant Analysis on Undersampled Problems,
PAMI(26), No. 8, August 2004, pp. 982-994.
IEEE Abstract. IEEE Top Reference. 0407Extend LDA by using pseudoinverse with matricies are singular. BibRef

Howland, P.[Peg], Park, H.S.[Hae-Sun],
Generalizing Discriminant Analysis Using the Generalized Singular Value Decomposition,
PAMI(26), No. 8, August 2004, pp. 995-1006.
IEEE Abstract. IEEE Top Reference. 0407Use GSVD to deal with singular matricies. BibRef

Howland, P.[Peg], Wang, J.L.[Jian-Lin], Park, H.S.[Hae-Sun],
Solving the small sample size problem in face recognition using generalized discriminant analysis,
PR(39), No. 2, February 2006, pp. 277-287.
WWW Version. 0512 BibRef

Kim, H.[Hyunsoo], Drake, B.L.[Barry L.], Park, H.S.[Hae-Sun],
Multiclass classifiers based on dimension reduction with generalized LDA,
PR(40), No. 11, November 2007, pp. 2939-2945.
WWW Version. 0707Multiclass classifier; Generalized linear discriminant analysis (LDA); Generalized singular value decomposition (GSVD); Dimension reduction; Undersampled problems BibRef

Li, Q.[Qi], Kambhamettu, C.[Chandra], Ye, J.P.[Jie-Ping],
Integrating Spatial and Discriminant Strength for Feature Selection and Linear Dimensionality Reduction,
BP06(21).
IEEE DOI may work or IEEE-CS DOI may work. 0609 BibRef

Liang, Z.Z.[Zhi-Zheng], Shi, P.F.[Peng-Fei],
Uncorrelated discriminant vectors using a kernel method,
PR(38), No. 2, February 2005, pp. 307-310.
WWW Version. 0411Extend approach of: See also Face recognition based on the uncorrelated discriminant transformation. for character recognition. BibRef

Liang, Z.Z.[Zhi-Zheng], Shi, P.F.[Peng-Fei],
Kernel direct discriminant analysis and its theoretical foundation,
PR(38), No. 3, March 2005, pp. 445-447.
WWW Version. 0412 BibRef

Hua, J.P.[Jian-Ping], Xiong, Z.X.[Zi-Xiang], Dougherty, E.R.[Edward R.],
Determination of the optimal number of features for quadratic discriminant analysis via the normal approximation to the discriminant distribution,
PR(38), No. 3, March 2005, pp. 403-421.
WWW Version. 0412 BibRef

Dougherty, E.R.[Edward R.], Hua, J.[Jiangping], Xiong, Z.X.[Zi-Xiang], Chen, Y.[Yidong],
Optimal robust classifiers,
PR(38), No. 10, October 2005, pp. 1520-1532.
WWW Version. 0508 BibRef

Halbe, Z.[Zohar], Aladjem, M.[Mayer],
Model-Based Mixture Discriminant Analysis: An Experimental Study,
PR(38), No. 3, March 2005, pp. 437-440.
WWW Version. 0412 BibRef

Weng, S.F.[Shi-Feng], Zhang, C.S.[Chang-Shui], Lin, Z.[Zhonglin],
Exploring the structure of supervised data by Discriminant Isometric Mapping,
PR(38), No. 4, April 2005, pp. 599-601.
WWW Version. 0501 BibRef

Demir, G.K., Ozmehmet, K.,
Online local learning algorithms for linear discriminant analysis,
PRL(26), No. 4, March 2005, pp. 421-431.
WWW Version. 0501 BibRef

Zheng, W.M.[Wen-Ming],
A note on kernel uncorrelated discriminant analysis,
PR(38), No. 11, November 2005, pp. 2185-2187.
WWW Version. 0509 BibRef

Pang, S.N.[Shao-Ning], Ozawa, S., Kasabov, N.,
Incremental linear discriminant analysis for classification of data streams,
SMC-B(35), No. 5, October 2005, pp. 905-914.
IEEE DOI may work or IEEE-CS DOI may work. 0510 BibRef

Zhao, Q.[Qijun], Lu, H.[Hongtao], Zhang, D.[David],
A fast evolutionary pursuit algorithm based on linearly combining vectors,
PR(39), No. 2, February 2006, pp. 310-312.
WWW Version. 0512Searches for optimal discriminant vectors through linearly combining standard bases. BibRef

Xu, Y.[Yong], Zhang, D.[David], Jin, Z.[Zhong], Li, M.[Miao], Yang, J.Y.[Jing-Yu],
A fast kernel-based nonlinear discriminant analysis for multi-class problems,
PR(39), No. 6, June 2006, pp. 1026-1033.
WWW Version. 0604Fisher discriminant analysis; Kernel-based nonlinear discriminant analysis; Fast kernel-based nonlinear method; Face recognition BibRef

Zhu, M.L.[Man-Li], Martinez, A.M.[Aleix M.],
Subclass Discriminant Analysis,
PAMI(28), No. 8, August 2006, pp. 1274-1286.
IEEE DOI may work or IEEE-CS DOI may work. 0606 BibRef
Earlier:
Optimal Subclass Discovery for Discriminant Analysis,
LCV04(97).
IEEE DOI may work or IEEE-CS DOI may work. 0406 BibRef

Hamsici, O.C.[Onur C.], Martinez, A.M.[Aleix M.],
Bayes Optimality in Linear Discriminant Analysis,
PAMI(30), No. 4, April 2008, pp. 647-657.
WWW Version. 0803 BibRef
Earlier:
Sparse Kernels for Bayes Optimal Discriminant Analysis,
ComponentAnalysis07(1-7).
IEEE DOI may work or IEEE-CS DOI may work. 0706 BibRef

Martinez, A.M.[Aleix M.], Hamsici, O.C.[Onur C.],
Who is LB1? Discriminant analysis for the classification of specimens,
PR(41), No. 11, November 2008, pp. 3436-3441.
WWW Version. 0808Pattern recognition; Paleontology; Discriminant analysis; Morphological model; Physical anthropology; Homo floresiensis BibRef

Wu, X.H.[Xiao-Hong], Zhou, J.J.[Jian-Jiang],
Fuzzy discriminant analysis with kernel methods,
PR(39), No. 11, November 2006, pp. 2236-2239.
WWW Version. 0608Kernel methods; Kernel fuzzy discriminant analysis BibRef

Zhang, W.[Wei], Xue, X.Y.[Xiang-Yang], Lu, H.[Hong], Guo, Y.F.[Yue-Fei],
Discriminant neighborhood embedding for classification,
PR(39), No. 11, November 2006, pp. 2240-2243.
WWW Version. 0608Discriminant neighborhood embedding (DNE); Intra-class attraction; Inter-class repulsion; Pattern classification BibRef

Zhang, W.[Wei], Xue, X.Y.[Xiang-Yang], Sun, Z.C.[Zi-Chen], Lu, H.[Hong], Guo, Y.F.[Yue-Fei],
Metric learning by discriminant neighborhood embedding,
PR(41), No. 6, June 2008, pp. 2086-2096.
WWW Version. 0802Pattern classification; Distance metric; Discriminant neighbors; Spectral analysis BibRef

Guo, Y.F.[Yue-Fei], Wu, L.D.[Li-De], Lu, H.[Hong], Feng, Z.[Zhe], Xue, X.Y.[Xiang-Yang],
Null Foley-Sammon transform,
PR(39), No. 11, November 2006, pp. 2248-2251.
WWW Version. 0608Linear discriminant analysis; Feature extraction; Fisher criterion; Foley-Sammon transform See also optimal set of discriminant vectors, An. BibRef

Dai, G.[Guang], Yeung, D.Y.[Dit-Yan], Qian, Y.T.[Yun-Tao],
Face recognition using a kernel fractional-step discriminant analysis algorithm,
PR(40), No. 1, January 2007, pp. 229-243.
WWW Version. 0611Face Recognition; Feature extraction; Nonlinear dimensionality reduction; Kernel discriminant analysis; Kernel fractional-step discriminant analysis BibRef

Dai, G.[Guang], Qian, Y.T.[Yun-Tao], Jia, S.[Sen],
A kernel fractional-step nonlinear discriminant analysis for pattern recognition,
ICPR04(II: 431-434).
IEEE DOI may work or IEEE-CS DOI may work. 0409 BibRef

Dai, G.[Guang], Qian, Y.T.[Yun-Tao],
Kernel generalized nonlinear discriminant analysis algorithm for pattern recognition,
ICIP04(IV: 2697-2700).
IEEE DOI may work or IEEE-CS DOI may work. 0505 BibRef

Zhang, Y.[Yu], Yeung, D.Y.[Dit-Yan],
Semi-Supervised Discriminant Analysis using robust path-based similarity,
CVPR08(1-8).
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Yan, S.C.[Shui-Cheng], Hu, Y.X.[Yu-Xiao], Xu, D.[Dong], Zhang, H.J.[Hong-Jiang], Zhang, B.Y.[Ben-Yu], Cheng, Q.S.[Qian-Sheng],
Nonlinear Discriminant Analysis on Embedded Manifold,
CirSysVideo(17), No. 4, April 2007, pp. 468-477.
IEEE DOI may work or IEEE-CS DOI may work. 0705Discriminant analysis problem. New cluster approach to get balanced clusters. BibRef

Liu, J.[Jun], Chen, S.C.[Song-Can], Tan, X.Y.[Xiao-Yang],
A study on three linear discriminant analysis based methods in small sample size problem,
PR(41), No. 1, January 2008, pp. 102-116.
WWW Version. 0710Regularized discriminant analysis (RDA); Discriminant common vectors (DCV); Maximal margin criterion (MMC); Small sample size (SSS); Eigenvalue distribution BibRef

Yu, X., Wang, X., Liu, B.,
A Direct Kernel Uncorrelated Discriminant Analysis Algorithm,
SPLetters(14), No. 10, October 2007, pp. 742-745.
IEEE DOI may work or IEEE-CS DOI may work. 0711 BibRef

Halbe, Z.[Zohar], Aladjem, M.[Mayer],
Regularized mixture discriminant analysis,
PRL(28), No. 15, 1 November 2007, pp. 2104-2115.
WWW Version. 0711Gaussian mixture models; Model selection; Bayesian information criterion; Classification; Regularized discriminant analysis BibRef

Guo, P.[Ping], Jia, Y.D.[Yun-De], Lyu, M.R.[Michael R.],
A study of regularized Gaussian classifier in high-dimension small sample set case based on MDL principle with application to spectrum recognition,
PR(41), No. 9, September 2008, pp. 2842-2854.
WWW Version. 0806Classification; Covariance matrix estimation; Discriminant analysis method; Regularization parameter selection; Minimum description length BibRef

Kwak, N.[Nojun], Oh, J.Y.[Ji-Yong],
Feature extraction for one-class classification problems: Enhancements to biased discriminant analysis,
PR(42), No. 1, January 2009, pp. 17-26.
WWW Version. 0809Classification; One-class; One-against-rest; BDA BibRef


An, S.J.[Sen-Jian], Liu, W.Q.[Wan-Quan], Venkatesh, S.[Svetha],
Exploiting side information in locality preserving projection,
CVPR08(1-8).
IEEE DOI may work or IEEE-CS DOI may work. 0806 BibRef

Leszczynski, M.[Mariusz], Skarbek, W.[Wadysaw],
On Design of Discriminant Analysis Diagram for Error Based Pattern Recognition,
ICIAR07(342-351).
WWW Version. 0708 BibRef

Kim, T.K.[Tae-Kyun], Wong, S.F.[Shu-Fai], Stenger, B.[Bjorn], Kittler, J.[Josef], Cipolla, R.[Roberto],
Incremental Linear Discriminant Analysis Using Sufficient Spanning Set Approximations,
CVPR07(1-8).
IEEE DOI may work or IEEE-CS DOI may work. 0706 BibRef

Wang, H.X.[Hai-Xian], Zheng, W.M.[Wen-Ming], Hu, Z.[Zilan], Chen, S.B.[Si-Bao],
Local and Weighted Maximum Margin Discriminant Analysis,
CVPR07(1-8).
IEEE DOI may work or IEEE-CS DOI may work. 0706 BibRef

Nie, F.P.[Fei-Ping], Xiang, S.M.[Shi-Ming], Song, Y.Q.[Yang-Qiu], Zhang, C.S.[Chang-Shui],
Optimal Dimensionality Discriminant Analysis and Its Application to Image Recognition,
ComponentAnalysis07(1-8).
IEEE DOI may work or IEEE-CS DOI may work. 0706 BibRef

Ioffe, S.[Sergey],
Probabilistic Linear Discriminant Analysis,
ECCV06(IV: 531-542).
WWW Version. 0608 BibRef

Xiong, T.[Tao], Ye, J.P.[Jie-Ping], Cherkassky, V.[Vladimir],
Kernel Uncorrelated and Orthogonal Discriminant Analysis: A Unified Approach,
CVPR06(I: 125-131).
IEEE DOI may work or IEEE-CS DOI may work. 0606 BibRef

Zhang, Q.A.[Qi-Ang], Liu, X.W.[Xiu-Wen],
Kernel Optimal Component Analysis,
LCV04(99).
IEEE DOI may work or IEEE-CS DOI may work. 0406 BibRef

Kosinov, S.[Serhiy], Marchand-Maillet, S.[Stephane], Pun, T.[Thierry],
Visual Object Categorization using Distance-Based Discriminant Analysis,
MMDE04(145).
IEEE DOI may work or IEEE-CS DOI may work. 0406 BibRef

Chen, H.T.[Hwann-Tzong], Chang, H.W.[Huang-Wei], Liu, T.L.[Tyng-Luh],
Local Discriminant Embedding and Its Variants,
CVPR05(II: 846-853).
IEEE DOI may work or IEEE-CS DOI may work. 0507 BibRef

Yan, S.C.[Shui-Cheng], Zhang, H.J.[Hong-Jiang], Hu, Y.X.[Yu-Xiao], Zhang, B.Y.[Ben-Yu], Cheng, Q.S.[Qian-Sheng],
Discriminant Analysis on Embedded Manifold,
ECCV04(Vol I: 121-132).
WWW Version. 0405 BibRef

Hazaveh, K., Raahemifar, K.,
Optimized two-dimensional local discriminant basis algorithm,
ICIP03(I: 1037-1040).
IEEE Abstract. IEEE Top Reference. 0312 BibRef

Vasconcelos, N.[Nuno], Ho, P.[Purdy], Moreno, P.[Pedro],
The Kullback-Leibler Kernel as a Framework for Discriminant and Localized Representations for Visual Recognition,
ECCV04(Vol III: 430-441).
WWW Version. 0405 BibRef

Vasconcelos, N.,
Feature selection by maximum marginal diversity: Optimality and Implications for Visual Recognition,
CVPR03(I: 762-769).
IEEE Abstract. IEEE Top Reference. 0307 BibRef

Liu, Q.S.[Qing-Shan], Huang, R.[Rui], Lu, H.Q.[Han-Qing], Ma, S.D.[Song-De],
Kernel-based optimized feature vectors selection and discriminant analysis for face recognition,
ICPR02(II: 362-365).
IEEE DOI may work or IEEE-CS DOI may work. 0211 BibRef

Schulerud, H.,
Bias of Error Rates in Linear Discriminant Analysis Caused by Feature Selection and Sample Size,
ICPR00(Vol II: 372-377).
IEEE DOI may work or IEEE-CS DOI may work.
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Gao, J., Ding, X.Q.[Xiao-Qing],
On Improvement of Feature Extraction Algorithms for Discriminative Pattern Classification,
ICPR00(Vol II: 101-104).
IEEE DOI may work or IEEE-CS DOI may work.
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Huang, X.J.[Xiao-Jei], Wu, Y.S.[Yuo-Shou], Ding, X.Q.[Xiao-Qing],
The estimation of error bounds and feature selection in large character set recognition,
ICPR88(II: 1242-1244).
IEEE DOI may work or IEEE-CS DOI may work. 8811 BibRef

Hiraoka, K., Hidai, K., Hamahira, M., Mizoguchi, H., Mishima, T., Yoshizawa, S.,
Successive Learning of Linear Discriminant Analysis: Sanger-type Algorithm,
ICPR00(Vol II: 664-667).
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Chapter on Pattern Recognition, Clustering, Statistics, Grammars, Learning, Neural Nets, Genetic Algorithms continues in
Training Set Size, Analysis, Selection .


Last update:Oct 10, 2008 at 17:20:17