1. bookVolume 23 (2013): Edizione 4 (December 2013)
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Open Access

A practical application of kernel-based fuzzy discriminant analysis

Pubblicato online: 31 Dec 2013
Volume & Edizione: Volume 23 (2013) - Edizione 4 (December 2013)
Pagine: 887 - 903
Dettagli della rivista
License
Formato
Rivista
eISSN
2083-8492
ISSN
1641-876X
Prima pubblicazione
05 Apr 2007
Frequenza di pubblicazione
4 volte all'anno
Lingue
Inglese

Aydilek, I.B. and Arslan, A. (2012). A novel hybrid approach to estimating missing values in databases using k-nearest neighbors and neural networks, International Journal of Innovative Computing, Information and Control 7(8): 4705-4717.Search in Google Scholar

Baudat, G. and Anouar, F. (2000). Generalized discriminant analysis using a kernel approach, Neural Computation 12(10): 2385-2404.10.1162/089976600300014980Search in Google Scholar

Belhumeur, P.N. and Kriegman, D.J. (1997). Eigenfaces vs. Fisherfaces: Recognition using class specific linear projection, IEEE Transactions on Pattern Analysis Machine Intelligence 19(7): 711-720.Search in Google Scholar

Chen, L.F., Liao, H. Y.M., Ko, M.T., Lin, J.C. and Yu, G.J. (2000). A new LDA-based face recognition system which can solve the small sample size problem, Pattern Recognition 33(10): 1713-1726.10.1016/S0031-3203(99)00139-9Search in Google Scholar

Cover, T.M. (1965). Geometrical and statistical properties of systems of linear inequalities with applications in pattern recognition, IEEE Transactions on Electronic Computers 14(3): 326-334.10.1109/PGEC.1965.264137Search in Google Scholar

Demsar, J. (2006). Statistical comparisons of classifiers over multiple data sets, The Journal of Machine Learning Research 7(1): 1-30.Search in Google Scholar

Dietterich, T.G. (1998). Approximate statistical tests for comparing supervised classification learning algorithms, Neural Computation 10(7): 1895-1923.10.1162/0899766983000171979744903Search in Google Scholar

Duda, R.O., Hart, P.E. and Stork, D.G. (2012). Pattern Classification, John Wiley and Sons, New York, NY.Search in Google Scholar

Friedman, J.H. (1989). Regularized discriminant analysis, Journal of the American Statistical Association 84(405): 165-175.10.1080/01621459.1989.10478752Search in Google Scholar

Fukunaga, K. (1990). Introduction to Statistical Pattern Recognition, San Diego, California, CA.10.1016/B978-0-08-047865-4.50007-7Search in Google Scholar

Gao, J. and Fan, L. (2011). Kernel-based weighted discriminant analysis with QR decomposition and its application face recognition, WSEAS Transactions on Mathematics 10(10): 358-367.Search in Google Scholar

Gao, J., Fan, L. and Xu, L. (2012). Solving the face recognition problem using QR factorization, WSEAS Transactions on Mathematics 11(1): 728-737.Search in Google Scholar

Gao, J.Q., Fan, L.Y. and Xu, L.Z. (2013). Median null (sw)-based method for face feature recognition, Applied Mathematics and Computation 219(12): 6410-6419.10.1016/j.amc.2013.01.005Search in Google Scholar

Gao, Q.X., Zhang, L. and Zhang, D. (2008). Face recognition using FLDA with single training image per person, Applied Mathematics and Computation 205(2): 726-734.10.1016/j.amc.2008.05.019Search in Google Scholar

Hastie, T., Buja, A. and Tibshirani, R. (1995). Penalized discriminant analysis, The Annals of Statistics 23(1): 73-102.10.1214/aos/1176324456Search in Google Scholar

Hastie, T., Tibshirani, R. and Buja, A. (1994). Flexible discriminant analysis by optimal scoring, Journal of the American Statistical Association 89(428): 1255-1270.10.1080/01621459.1994.10476866Search in Google Scholar

Hastie, T., Tibshirani, R., Friedman, J. and Franklin, J. (1991). The elements of statistical learning: Data mining, inference and prediction, The Mathematical Intelligencer 27(2): 83-85.10.1007/BF02985802Search in Google Scholar

Hong, Z.Q. and Yang, J.Y. (2005). Optimal discriminant plane for a small number of samples and design method of classifier on the plane, Pattern Recognition 24(4): 317-324.10.1016/0031-3203(91)90074-FSearch in Google Scholar

Jain, A. and Zongker, D. (1997). Feature selection: Evaluation, application, and small sample performance, IEEE Transactions on Pattern Analysis and Machine Intelligence 19(2): 153-158.10.1109/34.574797Search in Google Scholar

Keller, J.M., Gray, M.R. and Givens, J.A. (1985). A fuzzy k-nearest neighbor algorithm, IEEE Transactions on Systems, Man and Cybernetics 15(4): 580-585.10.1109/TSMC.1985.6313426Search in Google Scholar

Koc, M. and Barkana, A. (2011). A new solution to one sample problem in face recognition using FLDA, Applied Mathematics and Computation 217(24): 10368-10376.10.1016/j.amc.2011.05.048Search in Google Scholar

Kwak, K.C. and Pedrycz, W. (2005). Face recognition using a fuzzy Fisherface classifier, Pattern Recognition 38(10): 1717-1732.10.1016/j.patcog.2005.01.018Search in Google Scholar

Lee, H.M., Chen, C.M., Chen, J.M. and Jou, Y.L. (2001). An efficient fuzzy classifier with feature selection based on fuzzy entropy, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 31(3): 426-432.10.1109/3477.93153618244807Search in Google Scholar

Liu, F. and Xue, X. (2012). Constructing kernels by fuzzy rules for support vector regressions, International Journal of Innovative Computing, Information and Control 8(7): 4811-4822.Search in Google Scholar

Liu, Y. (2006). Website of the ORL face database, http://www.cam-orl.co.uk.Search in Google Scholar

Liu, Y., Liu, X. and Su, Z. (2008). A new fuzzy approach for handling class labels in canonical correlation analysis, Neurocomputing 71(7): 1735-1740.10.1016/j.neucom.2007.11.008Search in Google Scholar

Loog, M., Duin, R.P.W. and Haeb-Umbach, R. (2001).Search in Google Scholar

Multiclass linear dimension reduction by weighted pairwise fisher criteria, IEEE Transactions on Pattern Analysis and Machine Intelligence 23(7): 762-766.10.1109/34.935849Search in Google Scholar

Pahasa, J. and Ngamroo, I. (2012). PSO based kernel principal component analysis and multi-class support vector machine for power quality problem classification, International Journal of Innovative Computing, Information and Control 8(3): 1523-1539.Search in Google Scholar

Pal, N.R. and Eluri, V.K. (1998). Two efficient connectionist schemes for structure preserving dimensionality reduction, IEEE Transactions on Neural Networks 9(6): 1142-1154.10.1109/72.72835818255798Search in Google Scholar

Phillips, P.J. (2004). Website of the facial recognition technology (FERET) database, http://www.itl.nist.gov/iad/humanid/feret/feret-master.html.Search in Google Scholar

Raudys, S.J. and Jain, A.K. (1991). Small sample size effects in statistical pattern recognition: Recommendations for practitioners, IEEE Transactions on Pattern Analysis and Machine Intelligence 13(3): 252-264.10.1109/34.75512Search in Google Scholar

Scholkopf, B., Smola, A. and M¨uller, K.R. (1998). Nonlinear component analysis as a kernel eigenvalue problem, Neural Computation 10(5): 1299-1319.10.1162/089976698300017467Search in Google Scholar

Swets, D.L. and Weng, J.J. (1996). Using discriminant eigenfeatures for image retrieval, IEEE Transactions on Pattern Analysis and Machine Intelligence 18(8): 831-836. ´10.1109/34.531802Search in Google Scholar

Swiercz, E. (2010). Classification in the Gabor time-frequency domain of non-stationary signals embedded in heavy noise with unknown statistical distribution, International Journal of Applied Mathematics and Computer Science 20(1): 135-147, DOI: 10.2478/v10006-010-0010-x.10.2478/v10006-010-0010-xSearch in Google Scholar

Vapnik, V.N. (1998). Statistical Learning Theory, Wiley, New York, NY.Search in Google Scholar

Wozniak, M. and Krawczyk, B. (2012). Combined classifier based on feature space partitioning, International Journal of Applied Mathematics and Computer Science 22(4): 855-866, DOI: 10.2478/v10006-012-0063-0.10.2478/v10006-012-0063-0Search in Google Scholar

Wu, X.H. and Zhou, J.J. (2006). Fuzzy discriminant analysis with kernel methods, Pattern Recognition 39(11): 2236-2239.10.1016/j.patcog.2006.05.004Search in Google Scholar

Yang, J., Frangi, A.F., Yang, J.Y., Zhang, D. and Jin, Z. (2005). KPCA plus LDA: A complete kernel Fisher discriminant framework for feature extraction and recognition, IEEE Transactions on Pattern Analysis and Machine Intelligence 27(2): 230-244.10.1109/TPAMI.2005.33Search in Google Scholar

Yang, J. and Yang, J.Y. (2001). An optimal FLD algorithm for facial feature extraction, Proceedings of SPIE Intelligent Robots and Computer Vision XX: Algorithms, Techniques, and Active Vision, Boston, MA, USA, pp. 438-444.Search in Google Scholar

Yang, J. and Yang, J.Y. (2003). Why can LDA be performed in PCA transformed space?, Pattern Recognition 36(2): 563-566.10.1016/S0031-3203(02)00048-1Search in Google Scholar

Yang, W., Wang, J., Ren, M., Zhang, L. and Yang, J. (2009). Feature extraction using fuzzy inverse FDA, Neurocomputing 73(13): 3384-3390.10.1016/j.neucom.2009.03.011Search in Google Scholar

Yu, H. and Yang, J. (2001). A direct LDA algorithm for high-dimensional data with application to face recognition, Pattern Recognition 34(10): 2067-2070.10.1016/S0031-3203(00)00162-XSearch in Google Scholar

Zadeh, L.A. (1965). Fuzzy sets, Information and Control 8(3): 338-353.10.1016/S0019-9958(65)90241-XSearch in Google Scholar

Zheng, Y.J., Yang, J., Yang, J.Y. and Wu, X.J. (2006a). A reformative kernel Fisher discriminant algorithm and its application to face recognition, Neurocomputing 69(13): 1806-1810.10.1016/j.neucom.2005.08.009Search in Google Scholar

Zheng, Y., Yang, J., Wang, W., Wang, Q., Yang, J. and Wu, X. (2006b). Fuzzy kernel Fisher discriminant algorithm with application to face recognition, 6th World Congress on Intelligent Control and Automation WCICA, Dalian, China, Vol. 2, pp. 9669-9672.Search in Google Scholar

Zhuang, X.S. and Dai, D.Q. (2005). Inverse Fisher discriminate criteria for small sample size problem and its application to face recognition, Pattern Recognition 38(11): 2192-2194.10.1016/j.patcog.2005.02.011Search in Google Scholar

Zhuang, X.S. and Dai, D.Q. (2007). Improved discriminate analysis for high-dimensional data and its application to face recognition, Pattern Recognition 40(5): 1570-1578. 10.1016/j.patcog.2006.11.015Search in Google Scholar

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