13.4.1.6 Invariants -- Linear Discriminant Analysis, Fisher Linear Discriminant

Yang, J.[Jian], Yang, J.Y.[Jing-Yu],
Why can LDA be performed in PCA transformed space?,
PR(36), No. 2, February 2003, pp. 563-566.
Elsevier DOI 0211
BibRef

Chen, W.L.[Wei-Long], Er, M.J.[Meng Joo], Wu, S.Q.[Shi-Qian],
PCA and LDA in DCT domain,
PRL(26), No. 15, November 2005, pp. 2474-2482.
Elsevier DOI 0510
BibRef

Chen, W.L.[Wei-Long], Er, M.J.[Meng Joo], Wu, S.Q.[Shi-Qian],
Illumination Compensation and Normalization for Robust Face Recognition Using Discrete Cosine Transform in Logarithm Domain,
SMC-B(36), No. 2, April 2006, pp. 458-466.
IEEE DOI 0604
BibRef
Earlier:
Illumination compensation and normalization using logarithm and discrete cosine transform,
ICARCV04(I: 380-385).
IEEE DOI 0412
BibRef

Ye, J.P.[Jie-Ping], Li, Q.[Qi],
LDA/QR: an efficient and effective dimension reduction algorithm and its theoretical foundation,
PR(37), No. 4, April 2004, pp. 851-854.
Elsevier DOI 0403
BibRef

Ordowski, M.[Mark], Meyer, G.G.L.[Gerard G. L.],
Geometric linear discriminant analysis for pattern recognition,
PR(37), No. 3, March 2004, pp. 421-428.
Elsevier DOI 0401
BibRef

Chen, S.C.[Song-Can], Li, D.H.[Dao-Hong],
Modified linear discriminant analysis,
PR(38), No. 3, March 2005, pp. 441-443.
Elsevier DOI 0412
BibRef

Ye, J.P.[Jie-Ping], Li, Q.[Qi],
A two-stage linear discriminant analysis via QR-decomposition,
PAMI(27), No. 6, June 2005, pp. 929-941.
IEEE Abstract. 0506
PCA+LDA BibRef

Tang, E.K., Suganthan, P.N., Yao, X., Qin, A.K.,
Linear dimensionality reduction using relevance weighted LDA,
PR(38), No. 4, April 2005, pp. 485-493.
Elsevier DOI 0501
BibRef

Qin, A.K., Suganthan, P.N., Loog, M.[Marco],
Uncorrelated heteroscedastic LDA based on the weighted pairwise Chernoff criterion,
PR(38), No. 4, April 2005, pp. 613-616.
Elsevier DOI 0501
BibRef

Loog, M.[Marco],
Semi-supervised linear discriminant analysis through moment-constraint parameter estimation,
PRL(37), No. 1, 2014, pp. 24-31.
Elsevier DOI 1402
Linear discriminant analysis BibRef

Krythe, J.H.[Jesse H.], Loog, M.[Marco],
Implicitly Constrained Semi-supervised Linear Discriminant Analysis,
ICPR14(3762-3767)
IEEE DOI 1412
Covariance matrices BibRef

Loog, M.[Marco], Jensen, A.C.[Are C.],
Constrained Log-Likelihood-Based Semi-supervised Linear Discriminant Analysis,
SSSPR12(327-335).
Springer DOI 1211
BibRef

Qin, A.K., Suganthan, P.N., Loog, M.,
Generalized null space uncorrelated Fisher discriminant analysis for linear dimensionality reduction,
PR(39), No. 9, September 2006, pp. 1805-1808.
Elsevier DOI 0606
Null space of the within-class scatter matrix; Uncorrelated Fisher discriminant analysis; Weighted pairwise Fisher criterion BibRef

Li, M.[Ming], Yuan, B.Z.[Bao-Zong],
2D-LDA: A statistical linear discriminant analysis for image matrix,
PRL(26), No. 5, April 2005, pp. 527-532.
Elsevier DOI 0501
BibRef

Liang, Y.X.[Yi-Xiong], Gong, W.G.[Wei-Guo], Pan, Y.J.[Ying-Jun], Li, W.H.[Wei-Hong],
Generalizing relevance weighted LDA,
PR(38), No. 11, November 2005, pp. 2217-2219.
Elsevier DOI 0509
BibRef

Tang, H.[Hong], Fang, T.[Tao], Shi, P.F.[Peng-Fei],
Laplacian linear discriminant analysis,
PR(39), No. 1, January 2006, pp. 136-139.
Elsevier DOI 0512

See also comment on 'Laplacian linear discriminant analysis', A. BibRef

Tang, H.[Hong], Fang, T.[Tao], Shi, P.F.[Peng-Fei],
Nonlinear discriminant mapping using the Laplacian of a graph,
PR(39), No. 1, January 2006, pp. 156-159.
Elsevier DOI 0512
BibRef

Xie, J.G.[Ji-Gang], Qiu, Z.D.[Zheng-Ding],
The effect of imbalanced data sets on LDA: A theoretical and empirical analysis,
PR(40), No. 2, February 2007, pp. 557-562.
Elsevier DOI 0611
Imbalanced data sets; Linear discriminant analysis (LDA); Random sampling; Tomek links; Smote BibRef

Xie, J.G.[Ji-Gang], Qiu, Z.D.[Zheng-Ding], Wu, J.[Jie],
Bootstrap Methods for Reject Rules of Fisher LDA,
ICPR06(III: 425-428).
IEEE DOI 0609
BibRef

Nenadic, Z.[Zoran],
Information Discriminant Analysis: Feature Extraction with an Information-Theoretic Objective,
PAMI(29), No. 8, August 2007, pp. 1394-1407.
IEEE DOI 0707
Linear transformation into low dimensional space. BibRef

Das, K.[Koel], Nenadic, Z.[Zoran],
Approximate information discriminant analysis: A computationally simple heteroscedastic feature extraction technique,
PR(41), No. 5, May 2008, pp. 1565-1574.
Elsevier DOI 0711
Feature extraction; Information theory; Mutual information; Entropy; Classification; Linear discriminant analysis; Bayes error BibRef

Tang, F.[Feng], Tao, H.[Hai],
Fast linear discriminant analysis using binary bases,
PRL(28), No. 16, December 2007, pp. 2209-2218.
Elsevier DOI 0711
BibRef
Earlier: ICPR06(II: 52-55).
IEEE DOI 0609
BibRef
Earlier:
Binary Principal Component Analysis,
BMVC06(I:377).
PDF File. 0609

See also Fast Multi-scale Template Matching Using Binary Features. Linear discriminant analysis; Image representations; Non-orthogonal binary subspace BibRef

Hu, Z.L.[Zi-Lan],
A comment on 'Laplacian linear discriminant analysis',
PR(41), No. 7, July 2008, pp. 2173.
Elsevier DOI 0804

See also Laplacian linear discriminant analysis. BibRef

Li, B.[Bo], Huang, D.S.[De-Shuang], Wang, C.[Chao], Liu, K.H.[Kun-Hong],
Feature extraction using constrained maximum variance mapping,
PR(41), No. 11, November 2008, pp. 3287-3294.
Elsevier DOI 0808
Multi-manifolds learning, Feature extraction, LDA, MVP, LPP, UDP, Subspace BibRef

Bian, W.[Wei], Tao, D.C.[Da-Cheng],
Biased Discriminant Euclidean Embedding for Content-Based Image Retrieval,
IP(19), No. 2, February 2010, pp. 545-554.
IEEE DOI 1002
BibRef
Earlier:
Harmonic mean for subspace selection,
ICPR08(1-4).
IEEE DOI 0812
BibRef

Bian, W.[Wei], Tao, D.C.[Da-Cheng],
Max-Min Distance Analysis by Using Sequential SDP Relaxation for Dimension Reduction,
PAMI(33), No. 1, January 2011, pp. 1037-1050.
IEEE DOI 1104
New criterion for discriminative dimension reduction, max-min distance analysis. BibRef

Zhang, T.H.[Tian-Hao], Tao, D.C.[Da-Cheng], Yang, J.[Jie],
Discriminative Locality Alignment,
ECCV08(I: 725-738).
Springer DOI 0810
Discriminative Locality Alignment: DLA -- to address LDA issues. BibRef

Inoue, K.[Kohei], Hara, K.[Kenji], Urahama, K.[Kiichi],
Non-iterative Symmetric Two-Dimensional Linear Discriminant Analysis,
IEICE(E94-D), No. 4, April 2011, pp. 926-929.
WWW Link. 1104
BibRef

Inoue, K.[Kohei], Urahama, K.[Kiichi],
Non-Iterative Two-Dimensional Linear Discriminant Analysis,
ICPR06(II: 540-543).
IEEE DOI 0609
BibRef

Nie, X.S.[Xiu-Shan], Liu, J.[Ju], Sun, J.D.[Jian-De], Liu, W.[Wei],
Robust Video Hashing Based on Double-Layer Embedding,
SPLetters(18), No. 5, May 2011, pp. 307-310.
IEEE DOI 1104
video content identification and authentication. Intra-cluster Locally Linear Embedding (LLE) and inter-cluster Multi-Dimensional Scaling (MDS). BibRef

Liu, X., Sun, J., Liu, J.,
Visual Attention Based Temporally Weighting Method for Video Hashing,
SPLetters(20), No. 12, 2013, pp. 1253-1256.
IEEE DOI 1311
Bit error rate BibRef

Ma, Z.M.[Zheng-Ming], Chen, J.[Jing], Lian, S.B.[Shuai-Bin],
Constraints on the Neighborhood Size in LLE,
IEICE(E94-D), No. 8, August 2011, pp. 1636-1640.
WWW Link. 1108
BibRef

Álvarez-Meza, A.[Andrés], Valencia-Aguirre, J.[Juliana], Daza-Santacoloma, G.[Genaro], Castellanos-Domínguez, C.G.[Cesar Germán],
Global and local choice of the number of nearest neighbors in locally linear embedding,
PRL(32), No. 16, 1 December 2011, pp. 2171-2177.
Elsevier DOI 1112
BibRef
Earlier: A2, A1, A3, A4:
Automatic Choice of the Number of Nearest Neighbors in Locally Linear Embedding,
CIARP09(77-84).
Springer DOI 0911
Dimensionality reduction; Locally linear embedding; Number of nearest neighbors; Embedding quality BibRef

Zhang, Z.[Zhao], Chow, W.S.,
Tensor Locally Linear Discriminative Analysis,
SPLetters(18), No. 11, November 2011, pp. 643-646.
IEEE DOI 1112
Alternative to Local Fisher Discriminant Analysis. BibRef

Prince, S.J.D.[Simon J.D.], Li, P.[Peng], Fu, Y.[Yun], Mohammed, U.[Umar], Elder, J.H.[James H.],
Probabilistic Models for Inference about Identity,
PAMI(34), No. 1, January 2012, pp. 144-157.
IEEE DOI 1112
For Face recognition algorithms. Face image generated from data specific to the face, some not. Comparison across different viewing conditions. BibRef

Prince, S.J.D.[Simon J.D.], Elder, J.H.[James H.],
Bayesian Identity Clustering,
CRV10(32-39).
IEEE DOI 1005
BibRef
Earlier:
Probabilistic Linear Discriminant Analysis for Inferences About Identity,
ICCV07(1-8).
IEEE DOI 0710
BibRef

Durrant, R.J.[Robert John], Kabán, A.[Ata],
A tight bound on the performance of Fisher's linear discriminant in randomly projected data spaces,
PRL(33), No. 7, 1 May 2012, pp. 911-919.
Elsevier DOI 1203
BibRef
Earlier:
A Bound on the Performance of LDA in Randomly Projected Data Spaces,
ICPR10(4044-4047).
IEEE DOI 1008
Award, ICPR. Fisher discriminant analysis; Random projection; Dimensionality reduction; Curse of dimensionality; Performance bounds BibRef

Zhong, F.J.[Fu-Jin], Zhang, J.S.[Jia-Shu],
Linear Discriminant Analysis Based on L1-Norm Maximization,
IP(22), No. 8, 2013, pp. 3018-3027.
IEEE DOI 1307
principal component analysis BibRef

Zollanvari, A.[Amin], Hua, J.P.[Jian-Ping], Dougherty, E.R.[Edward R.],
Analytical study of performance of linear discriminant analysis in stochastic settings,
PR(46), No. 11, November 2013, pp. 3017-3029.
Elsevier DOI 1306
Linear discriminant analysis; Stochastic settings; Correlated data; Non-i.i.d data; Expected error; Gaussian processes; Auto-regressive models; Moving-average models BibRef

Niu, Z.X.[Zhen-Xing], Hua, G.[Gang], Tian, Q.[Qi], Gao, X.B.[Xin-Bo],
Visual Topic Network: Building better image representations for images in social media,
CVIU(136), No. 1, 2015, pp. 3-13.
Elsevier DOI 1506
BibRef
Earlier: A1, A2, A4, A3:
Context aware topic model for scene recognition,
CVPR12(2743-2750).
IEEE DOI 1208
BibRef
Earlier: A1, A2, A4, A3:
Spatial-DiscLDA for visual recognition,
CVPR11(1769-1776).
IEEE DOI 1106
Image representation. BibRef

Mahanta, M.S.[Mohammad Shahin], Plataniotis, K.N.[Konstantinos N.],
2DLDA as matrix-variate formulation of a separable 1DLDA,
PRL(68, Part 1), No. 1, 2015, pp. 169-175.
Elsevier DOI 1512
Feature extraction BibRef

Wei, Z.[Zheng], Chu, Y.J.[Yong-Jie], Zhao, L.[Lindu],
An effective two-dimensional linear discriminant analysis with locality preserving approach for image recognition,
SIViP(11), No. 8, November 2017, pp. 1577-1584.
Springer DOI 1710
two-dimensional linear discriminant analysis with locality preserving. BibRef

Noh, Y.K.[Yung-Kyun], Hamm, J.[Jihun], Park, F.C.[Frank Chongwoo], Zhang, B.T.[Byoung-Tak], Lee, D.D.[Daniel D.],
Fluid Dynamic Models for Bhattacharyya-Based Discriminant Analysis,
PAMI(40), No. 1, January 2018, pp. 92-105.
IEEE DOI 1712
Algorithm design and analysis, Analytical models, Computational modeling, Covariance matrices, Gaussian processes, fluid dynamics BibRef

Noh, Y.K.[Yung-Kyun], Hamm, J.[Jihun], Lee, D.D.[Daniel D.],
Regularized discriminant analysis for transformation-invariant object recognition,
ICPR08(1-5).
IEEE DOI 0812
BibRef

Ye, Q., Yang, J., Liu, F., Zhao, C., Ye, N., Yin, T.,
L1-Norm Distance Linear Discriminant Analysis Based on an Effective Iterative Algorithm,
CirSysVideo(28), No. 1, January 2018, pp. 114-129.
IEEE DOI 1801
Convergence, Forestry, Iterative methods, Linear discriminant analysis, Optimization, robustness BibRef

Shi, H.Q.[Han-Qin], Tao, L.[Liang],
Visual comparison based on linear regression model and linear discriminant analysis,
JVCIR(57), 2018, pp. 118-124.
Elsevier DOI 1812
Visual comparison, LDA, Linear regression, SVM, Pairwise relative attributes BibRef

Wen, J., Fang, X., Cui, J., Fei, L., Yan, K., Chen, Y., Xu, Y.,
Robust Sparse Linear Discriminant Analysis,
CirSysVideo(29), No. 2, February 2019, pp. 390-403.
IEEE DOI 1902
Feature extraction, Robustness, Linear discriminant analysis, Sparse matrices, Task analysis, Principal component analysis, data reconstruction BibRef

Lu, Y., Yuan, C., Lai, Z., Li, X., Zhang, D., Wong, W.K.,
Horizontal and Vertical Nuclear Norm-Based 2DLDA for Image Representation,
CirSysVideo(29), No. 4, April 2019, pp. 941-955.
IEEE DOI 1904
Robustness, Principal component analysis, Optimization, Image classification, Measurement, Dimensionality reduction, image classification BibRef

Wang, J.Y.[Jing-Yu], Wang, H.M.[Hong-Mei], Nie, F.P.[Fei-Ping], Li, X.L.[Xue-Long],
Ratio Sum Versus Sum Ratio for Linear Discriminant Analysis,
PAMI(44), No. 12, December 2022, pp. 10171-10185.
IEEE DOI 2212
Kernel, Principal component analysis, Feature extraction, Covariance matrices, Linear discriminant analysis, subspace learning BibRef

Nie, F.P.[Fei-Ping], Tian, L.[Lai], Wang, R.[Rong], Li, X.L.[Xue-Long],
Learning Feature-Sparse Principal Subspace,
PAMI(45), No. 4, April 2023, pp. 4858-4869.
IEEE DOI 2303
Principal component analysis, Approximation algorithms, Optimization, Sparse matrices, Convergence, Estimation, approximation algorithms BibRef

Mo, D.M.[Dong-Mei], Lai, Z.H.[Zhi-Hui], Zhou, J.[Jie], Qinghua, H.[Hu],
Scatter matrix decomposition for jointly sparse learning,
PR(140), 2023, pp. 109485.
Elsevier DOI 2305
Feature extraction, Classification, Linear discriminant analysis, Joint sparsity BibRef

Yang, X.F.[Xiang-Fei], Zheng, M.[Mengyi], Liu, L.M.[Li-Ming],
Robust Two-Dimensional T L_1-Norm Linear Discriminant Analysis for Image Recognition,
SPLetters(30), 2023, pp. 523-527.
IEEE DOI 2305
Optimization, Measurement, Complexity theory, Robustness, Training, Feature extraction, Convergence, 2DLDA, robust, T L _1-norm, image recognition BibRef

Zhou, J.H.[Jian-Hang], Zhang, Q.[Qi], Zeng, S.N.[Shao-Ning], Zhang, B.[Bob], Fang, L.Y.[Le-Yuan],
Latent Linear Discriminant Analysis for feature extraction via Isometric Structural Learning,
PR(149), 2024, pp. 110218.
Elsevier DOI 2403
Feature extraction, Linear discriminant analysis, Latent space, Structure learning, Pattern classification BibRef

Wang, Y.[Yao], Wang, C.[Cheng], Jiang, B.[Binyan],
Sr-LDA:Sparse and Reduced-Rank Linear Discriminant Analysis for High Dimensional Matrix,
SPLetters(31), 2024, pp. 1134-1138.
IEEE DOI 2405
Sparse matrices, Covariance matrices, Signal processing algorithms, Linear discriminant analysis, classification BibRef

Liu, J.J.[Jing-Jing], Feng, M.[Manlong], Xiu, X.C.[Xian-Chao], Liu, W.Q.[Wan-Quan],
Towards robust and sparse linear discriminant analysis for image classification,
PR(153), 2024, pp. 110512.
Elsevier DOI 2405
Image classification, Linear discriminant analysis (LDA), Sparse representation BibRef

Bekios-Calfa, J.[Juan], Keith, B.[Brian],
A Multilabel Extension of LDA Based on the Gram-Schmidt Orthogonalization Procedure,
CIARP17(86-93).
Springer DOI 1802
BibRef

Chen, J.Y.[Jia-Yong], Xu, X.M.[Xiang-Min], Qing, C.M.[Chun-Mei], Jin, J.X.[Jian-Xiu],
LDA based compact and discriminative dictionary learning for sparse coding,
ICIP14(4912-4916)
IEEE DOI 1502
Accuracy BibRef

Tamaki, T.[Toru], Yuan, B.Z.[Bing-Zhi], Harada, K.[Kengo], Raytchev, B.[Bisser], Kaneda, K.[Kazufumi],
Linear discriminative image processing operator analysis,
CVPR12(2526-2532).
IEEE DOI 1208
BibRef

Wen, Y.[Ying], Zhou, Z.Y.[Zhen-Yu], Wang, X.H.[Xun-Heng], Zhang, Y.D.[Yu-Dong], Wu, R.H.[Ren-Hua],
An improved locally linear embedding for sparse data sets,
ICIP10(1585-1588).
IEEE DOI 1009
BibRef

Yin, J.[Jun], Jin, Z.[Zhong],
A modified NLDA algorithm,
ICIP10(4513-4516).
IEEE DOI 1009
BibRef

Luo, D.J.[Di-Jun], Huang, H.[Heng], Ding, C.[Chris],
Discriminative high order SVD: Adaptive tensor subspace selection for image classification, clustering, and retrieval,
ICCV11(1443-1448).
IEEE DOI 1201
BibRef

Luo, D.J.[Di-Jun], Ding, C.[Chris], Huang, H.[Heng],
Symmetric two dimensional linear discriminant analysis (2DLDA),
CVPR09(2820-2827).
IEEE DOI 0906
BibRef

Vamsidhar, A.R., Bora, P.K., Das, S.[Sanjib],
Animation Geometry Compression Using the Linear Discriminant Analysis,
ICCVGIP08(512-519).
IEEE DOI 0812
BibRef

Goldberg, Y.[Yair], Ritov, Y.[Ya'acov],
LDR-LLE: LLE with Low-Dimensional Neighborhood Representation,
ISVC08(II: 43-54).
Springer DOI 0812
local linear embedding BibRef

Philbin, J., Sivic, J., Zisserman, A.,
Geometric LDA: A Generative Model for Particular Object Discovery,
BMVC08(xx-yy).
PDF File. 0809
BibRef

Ji, S.W.[Shui-Wang], Ye, J.P.[Jie-Ping],
A unified framework for generalized Linear Discriminant Analysis,
CVPR08(1-7).
IEEE DOI 0806
BibRef

Kong, H.[Hui], Teoh, E.K.[Eam Khwang], Xu, P.F.[Peng-Fei],
Margin Maximizing Discriminant Analysis for Multi-shot Based Object Recognition,
ISVC06(I: 628-637).
Springer DOI 0611
BibRef

Juszczak, P.[Piotr], Tax, D.M.J.[David M.J.], Verzakov, S.[Serguei], Duin, R.P.W.[Robert P.W.],
Domain Based LDA and QDA,
ICPR06(II: 788-791).
IEEE DOI 0609
BibRef

Zhu, M.L.[Man-Li], Martinez, A.M.[Aleix M.],
Selecting Principal Components in a Two-Stage LDA Algorithm,
CVPR06(I: 132-137).
IEEE DOI 0606
BibRef

Tanigawa, M.[Masashi],
Multi-class object recognition using boosted linear discriminant analysis combined with masking covariance matrix method,
CVS06(33).
IEEE DOI 0602
Integrate classifiers on multiple spaces. Face/Non-face classification. BibRef

Keysers, D., Ney, H.,
Linear discriminant analysis and discriminative log-linear modeling,
ICPR04(I: 156-159).
IEEE DOI 0409
BibRef

Ünsalan, C.[Cem], Erçil, A.,
Shapes of Features and a Modified Measure for Linear Discriminant Analysis,
ICPR00(Vol II: 410-413).
IEEE DOI 0009
BibRef

Chapter on Matching and Recognition Using Volumes, High Level Vision Techniques, Invariants continues in
Surveys, Comparisons, Evaluations, Principal Components .