14.2.12 Fisher, Parzen, and Other Clustering Measures and Decompositions

Fisher, R.A.,
On a distribution yielding the error functions of several well-known statistics,
Proc Int Congr Math(2), 1924, pp. 805-813. BibRef 2400

Fisher, R.A.,
The Use of Multiple Measurements in Taxonomic Problems,
Annals of Eugenics(7), 1936, pp. 179-188. Fisher Discriminant. BibRef 3600

Fisher, R.A.,
The Statistical Utilization of Multiple Measurements,
Annals of Eugenics(8), 1938, pp. 376-386. BibRef 3800

Parzen, E.,
On Estimation of a Probability Density Function and Mode,
AMS(33), September 1962, pp. 1065-1076. BibRef 6209

Shanmugam, K.S.,
On a modified form of Parzen estimator for nonparametric pattern recognition,
PR(9), No. 3, October 1977, pp. 167-170.
WWW Version. 0309
BibRef

Longstaff, I.D.,
On Extensions to Fisher's Linear Discriminant Function,
PAMI(9), No. 2, March 1987, pp. 321-325. BibRef 8703

Duchene, J., and Leclercq, S.,
An Optimal Transformation for Discriminant and Principal Component Analysis,
PAMI(10), No. 6, November 1988, pp. 978-983.
IEEE Abstract.
WWW Version. BibRef 8811

Fukunaga, K., and Hayes, R.R.,
The Reduced Parzen Classifier,
PAMI(11), No. 4, April 1989, pp. 423-425.
IEEE Abstract.
WWW Version. BibRef 8904

Liu, S.D.D.[Shiaw-Dong D.], Casasent, D.P.[David P.],
Iterative Fisher/Minimum-Variance Optical Classifier,
PR(23), No. 3-4, 1990, pp. 385-391.
WWW Version. 0401
BibRef

Cheng, Y.Q.[Yong-Qing], Zhuang, Y.M.[Yong-Ming], Yang, J.Y.[Jing-Yu],
Optimal Fisher discriminant analysis using the rank decomposition,
PR(25), No. 1, January 1992, pp. 101-111.
WWW Version. 0401
BibRef

Yang, J.[Jian], Yang, J.Y.[Jing-Yu], and Zhang, D.[David],
What's wrong with Fisher criterion?,
PR(35), No. 11, November 2002, pp. 2665-2668.
WWW Version. 0208
BibRef

Xu, Y.[Yong], Yang, J.Y.[Jing-Yu], Jin, Z.[Zhong],
A novel method for Fisher discriminant analysis,
PR(37), No. 2, February 2004, pp. 381-384.
WWW Version. 0311
BibRef

Xu, Y.[Yong], Yang, J.Y.[Jing-Yu], Yang, J.[Jian],
A reformative kernel Fisher discriminant analysis,
PR(37), No. 6, June 2004, pp. 1299-1302.
WWW Version. 0405
BibRef

Jeon, B.W.[Byeung-Woo], Landgrebe, D.A.,
Fast Parzen Density-Estimation Using Clustering-Based Branch-And-Bound,
PAMI(16), No. 9, September 1994, pp. 950-954.
IEEE Abstract.
WWW Version.
PDF Version. BibRef 9409

Babich, G.A., Camps, O.I.,
Weighted Parzen Windows For Pattern-Classification,
PAMI(18), No. 5, May 1996, pp. 567-570.
IEEE Abstract.
WWW Version. 9606
BibRef

Hamamoto, Y., Fujimoto, Y., Tomita, S.,
On the Estimation of a Covariance-matrix in Designing Parzen Classifiers,
PR(29), No. 10, October 1996, pp. 1751-1759.
WWW Version. Kernel Covariance. BibRef 9610

Kraaijveld, M.A.,
A Parzen Classifier with an Improved Robustness Against Deviations Between Training and Test Data,
PRL(17), No. 7, June 10 1996, pp. 679-689. 9607
BibRef

Hand, D.J., Oliver, J.J., Lunn, A.D.,
Discriminant-Analysis When The Classes Arise From A Continuum,
PR(31), No. 5, May 1998, pp. 641-650.
WWW Version. 9805
BibRef

Gan, W.S.,
Designing a Fuzzy Step Size LMS Algorithm,
VISP(144), No. 5, October 1997, pp. 261-266. 9806
BibRef

Raudys, S.J., Duin, R.P.W.,
Expected Classification Error of the Fisher Linear Classifier with Pseudo Inverse Covariance Matrix,
PRL(19), No. 5-6, April 1998, pp. 385-392. 9808
BibRef

Poston, W.L., Marchette, D.J.,
Recursive Dimensionality Reduction Using Fishers Linear Discriminant,
PR(31), No. 7, July 1998, pp. 881-888.
WWW Version. 9807
BibRef

Roberts, S.J.[Stephen J.], Everson, R.[Richard], Rezek, I.[Iead],
Maximum certainty data partitioning,
PR(33), No. 5, May 2000, pp. 833-839.
WWW Version. 0003
BibRef

Zhu, Q.M.[Qiu-Ming], Cai, Y.[Yao], Liu, L.Z.[Lu-Zheng],
A multiple hyper-ellipsoidal subclass model for an evolutionary classifier,
PR(34), No. 3, March 2001, pp. 547-560.
WWW Version. 0101
BibRef

Cooke, T.[Tristrom],
Two Variations on Fisher's Linear Discriminant for Pattern Recognition,
PAMI(24), No. 2, February 2002, pp. 268-273.
IEEE Abstract.
WWW Version. 0202
BibRef

Sierra, A.,
High-order Fisher's discriminant analysis,
PR(35), No. 6, June 2002, pp. 1291-1302.
WWW Version. 0203
BibRef

Mika, S.[Sebastian], Ratsch, G.[Gunnar], Weston, J.[Jason], Scholkopf, B.[Bernhard], Smola, A.J.[Alexander J.], Muller, K.R.[Klaus-Robert],
Constructing Descriptive and Discriminative Nonlinear Features: Rayleigh Coefficients in Kernel Feature Spaces,
PAMI(25), No. 5, May 2003, pp. 623-628.
IEEE Abstract. 0304
Nonlinear generalization of Fisher's discriminant and oriented PCA. BibRef

Cawley, G.C.[Gavin C.], Talbot, N.L.C.[Nicola L. C.],
Efficient Leave-One-Out Cross-Validation of Kernel Fisher Discriminant Classifiers,
PR(36), No. 11, November 2003, pp. 2585-2592.
WWW Version. 0309
BibRef

Song, F.[Fengxi], Liu, S.H.[Shu-Hai], Yang, J.Y.[Jing-Yu],
Orthogonalized Fisher discriminant,
PR(38), No. 2, February 2005, pp. 311-313.
WWW Version. 0411
BibRef

Zhuang, X.S.[Xiao-Sheng], Dai, D.Q.[Dao-Qing],
Inverse Fisher discriminate criteria for small sample size problem and its application to face recognition,
PR(38), No. 11, November 2005, pp. 2192-2194.
WWW Version. 0509
BibRef

Xu, M., Wu, X., Franti, P.,
Context Quantization by Kernel Fisher Discriminant,
IP(15), No. 1, January 2006, pp. 169-177.
IEEE DOI Link 0601
BibRef

Tao, Q.[Qing], Wu, G.W.[Gao-Wei], Wang, J.[Jue],
The theoretical analysis of FDA and applications,
PR(39), No. 6, June 2006, pp. 1199-1204.
WWW Version. Fisher discriminant analysis; Support vector machines; LS-SVM (least squares SVM); Regression 0604
BibRef

Xie, J.G.[Ji-Gang], Qiu, Z.D.[Zheng-Ding], Miao, Z.J.[Zhen-Jiang], Zhang, Y.Q.A.[Yan-Qi-Ang],
Bootstrap FDA for counting positives accurately in imprecise environments,
PR(40), No. 11, November 2007, pp. 3292-3298.
WWW Version. 0707
Bootstrap; Small sample; Binary classification; Fisher discriminant analysis BibRef

Zhang, S.[Sheng], Sim, T.[Terence],
Discriminant Subspace Analysis: A Fukunaga-Koontz Approach,
PAMI(29), No. 10, October 2007, pp. 1732-1745.
IEEE DOI Link 0710
Survey, Discrminiant Analysis. BibRef
Earlier:
When Fisher meets Fukunaga-Koontz: A New Look at Linear Discriminants,
CVPR06(I: 323-329).
IEEE DOI Link 0606
See also Application of the Karhunen-Loeve Expansion to Feature Selection and Ordering. Analyze the techniques and show the relationships. BibRef

Sim, T.[Terence], Zhang, S.[Sheng], Li, J.[Jianran], Chen, Y.[Yan],
Simultaneous and orthogonal decomposition of data using Multimodal Discriminant Analysis,
ICCV09(452-459).
IEEE DOI Link 0909
BibRef

Zhang, S.[Sheng], Sim, T.[Terence], Yeh, M.C.[Mei-Chen],
Identity and Variation Spaces: Revisiting the Fisher Linear Discriminant,
Subspace09(123-130).
IEEE DOI Link 0910
BibRef

Chen, B.[Bo], Liu, H.W.[Hong-Wei], Bao, Z.[Zheng],
A kernel optimization method based on the localized kernel Fisher criterion,
PR(41), No. 3, March 2008, pp. 1098-1109.
WWW Version. 0711
Kernel machine; Fisher criterion; Kernel optimization; Kernel induced feature space; Radar automatic target recognition (RATR); High-resolution range profile (HRRP) BibRef

Chen, B.[Bo], Liu, H.W.[Hong-Wei], Bao, Z.[Zheng],
Optimizing the data-dependent kernel under a unified kernel optimization framework,
PR(41), No. 6, June 2008, pp. 2107-2119.
WWW Version. 0802
Kernel machine; Fisher criteria; Kernel optimization; Kernel induced feature space BibRef

Zhang, D.Q.A.[Dao-Qi-Ang], Chen, S.C.[Song-Can], Zhou, Z.H.[Zhi-Hua],
Constraint Score: A new filter method for feature selection with pairwise constraints,
PR(41), No. 5, May 2008, pp. 1440-1451.
WWW Version. 0711
Feature selection; Pairwise constraints; Filter method; Constraint Score; Fisher Score; Laplacian Score BibRef

Harrison, R.F.[Robert F.], Pasupa, K.[Kitsuchart],
Sparse multinomial kernel discriminant analysis (sMKDA),
PR(42), No. 9, September 2009, pp. 1795-1802.
Elsevier DOI Link
WWW Version. 0905
Linear discriminant analysis; Kernel discriminant analysis; Multi-class; Multinomial; Least-squares; Optimal scaling; Sparsity control BibRef

Pasupa, K.[Kitsuchart], Harrison, R.F.[Robert F.], Willett, P.[Peter],
Parsimonious Kernel Fisher Discrimination,
IbPRIA07(I: 531-538).
Springer DOI Link 0706
BibRef

Carter, K.M.[Kevin M.], Raich, R.[Raviv], Finn, W.G.[William G.], Hero, III, A.O.[Alfred O.],
FINE: Fisher Information Nonparametric Embedding,
PAMI(31), No. 11, November 2009, pp. 2093-2098.
IEEE DOI Link 0910
BibRef

Hoyle, D.C.[David C.],
Accuracy of Pseudo-Inverse Covariance Learning: A Random Matrix Theory Analysis,
PAMI(33), No. 7, July 2011, pp. 1470-1481.
IEEE DOI Link 1106
When sample point set is too small. BibRef

Huttunen, H.[Heikki], Ryynänen, J.P.[Jari-Pekka], Forsvik, H.[Heikki], Voipio, V.[Ville], Kikuchi, H.[Hisakazu],
Kernel Fisher Discriminant and Elliptic Shape Model for Automatic Measurement of Allergic Reactions,
SCIA11(764-773).
Springer DOI Link 1105
BibRef

Arvanitopoulos, N.[Nikolaos], Bouzas, D.[Dimitrios], Tefas, A.[Anastasios],
Subclass Error Correcting Output Codes Using Fisher's Linear Discriminant Ratio,
ICPR10(2953-2956).
IEEE DOI Link 1008
BibRef

Yan, F.[Fei], Mikolajczyk, K.[Krystian], Barnard, M.[Mark], Cai, H.P.[Hong-Ping], Kittler, J.V.[Josef V.],
LP norm multiple kernel Fisher discriminant analysis for object and image categorisation,
CVPR10(3626-3632).
IEEE DOI Link 1006
BibRef

Mutelo, R.M., Woo, W.L., Dlay, S.S.,
A Complete Fisher Discriminant Analysis for Based Image Matrix and Its Application to Face Biometrics,
ICB07(1067-1076).
Springer DOI Link 0708
BibRef

Lu, F.F.[Fang-Fang], Li, H.D.[Hong-Dong],
KLDA: An Iterative Approach to Fisher Discriminant Analysis,
ICIP07(II: 201-204).
IEEE DOI Link 0709
BibRef

Koide, N.[Naoya], Yamashita, Y.[Yukihiko],
Asymmetric kernel method and its application to Fisher's discriminant,
ICPR06(II: 820-824).
WWW Version. 0609
BibRef

Dai, G.[Guang], Yeung, D.Y.[Dit-Yan], Chang, H.[Hong],
Extending Kernel Fisher Discriminant Analysis with the Weighted Pairwise Chernoff Criterion,
ECCV06(IV: 308-320).
Springer DOI Link 0608
BibRef

Mio, W.[Washington], Badlyans, D.[Dennis], Liu, X.W.[Xiu-Wen],
A Computational Approach to Fisher Information Geometry with Applications to Image Analysis,
EMMCVPR05(18-33).
Springer DOI Link 0601
BibRef

Liu, X.W.[Xiu-Wen], Mio, W.[Washington],
Splitting Factor Analysis and Multi-Class Boosting,
ICIP06(949-952). 0610

IEEE DOI Link BibRef

Liu, X.W.[Xiu-Wen], Mio, W.[Washington],
Kernel Methods for Nonlinear Discriminative Data Analysis,
EMMCVPR05(584-599).
Springer DOI Link 0601
BibRef

Saadi, K., Talbot, N.L.C., Cawley, G.C.,
Optimally Regularised Kernel Fisher Discriminant Analysis,
ICPR04(II: 427-430).
IEEE DOI Link 0409
BibRef

de Ridder, D., Loog, M., Reinders, M.J.T.,
Local Fisher Embedding,
ICPR04(II: 295-298).
IEEE DOI Link 0409
BibRef

Vaswani, N.,
A linear classifier for gaussian class conditional distributions with unequal covariance matrices,
ICPR02(II: 60-63).
IEEE DOI Link 0211
BibRef

Sakai, M.[Mitsuru], Yoneda, M.[Masaaki], Hase, H.[Hiroyuki],
A New Robust Quadratic Discriminant Function,
ICPR98(Vol I: 99-102).
IEEE DOI Link 9808
BibRef

Chapter on Pattern Recognition, Clustering, Statistics, Grammars, Learning, Neural Nets, Genetic Algorithms continues in
Bayesian Clustering, Bayes Classifier .