PMID: 11032039Oct 14, 2000Paper

Generalized discriminant analysis using a kernel approach

Neural Computation
G Baudat, F Anouar

Abstract

We present a new method that we call generalized discriminant analysis (GDA) to deal with nonlinear discriminant analysis using kernel function operator. The underlying theory is close to the support vector machines (SVM) insofar as the GDA method provides a mapping of the input vectors into high-dimensional feature space. In the transformed space, linear properties make it easy to extend and generalize the classical linear discriminant analysis (LDA) to nonlinear discriminant analysis. The formulation is expressed as an eigenvalue problem resolution. Using a different kernel, one can cover a wide class of nonlinearities. For both simulated data and alternate kernels, we give classification results, as well as the shape of the decision function. The results are confirmed using real data to perform seed classification.

References

Sep 18, 1975·Biological cybernetics·T Poggio

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Citations

Feb 23, 2011·Journal of Medical Systems·Engin Avci
Nov 5, 2013·Pattern Recognition·C Fabian Benitez-QuirozAleix M Martinez
Feb 28, 2013·Brain Connectivity·Petra RitterViktor K Jirsa
Jun 24, 2005·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Haihong ZhangBailing Zhang
May 8, 2004·Neural Computation·Wenming ZhengCairong Zou
Jul 26, 2007·Neural Computation·Tomoharu IwataJoshua B Tenenbaum
Jun 16, 2006·BMC Bioinformatics·Huilin Xiong, Xue-wen Chen
Apr 2, 2014·Neural Computation·Austin J BrockmeierJose C Principe
Mar 19, 2014·Artificial Intelligence in Medicine·Xulei YangYi Su
Feb 1, 2014·Neural Computation·Guoqiang Zhong, Mohamed Cheriet
Apr 5, 2014·TheScientificWorldJournal·Jianping GouLan Du
Oct 29, 2013·TheScientificWorldJournal·Ziqiang WangYuchun Huang
May 28, 2014·Neural Networks : the Official Journal of the International Neural Network Society·Ezequiel López-Rubio, Antonio Díaz Ramos
Jun 16, 2014·Neural Networks : the Official Journal of the International Neural Network Society·Shangping ZhongYuzhen Niu
Feb 18, 2015·Sensors·Muhammad Habib ur RehmanBabak Daghighi
Nov 2, 2011·Neural Networks : the Official Journal of the International Neural Network Society·Kerstin BunteMichael Biehl
Apr 17, 2015·IEEE Transactions on Neural Networks and Learning Systems·Dimitrios BouzasAnastasios Tefas
Jan 22, 2015·IEEE Transactions on Neural Networks and Learning Systems·Shenglan LiuHong Qiao
Jan 27, 2009·Neural Networks : the Official Journal of the International Neural Network Society·Zenglin XuMichael R Lyu
Apr 10, 2015·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Muhammad Hameed Siddiqi Sungyoung Lee
Jul 1, 2008·Artificial Intelligence in Medicine·Babak Mohammadzadeh AslMaryam Mohebbi
Aug 22, 2007·Computers in Biology and Medicine·Ayşegül GüvenSalih Güneş
Nov 23, 2013·Scientific Reports·George I MiasPeter L Greenberg
Oct 28, 2003·Proteins·Julian Mintseris, Zhiping Weng
Jul 28, 2011·Evolution; International Journal of Organic Evolution·Ryosuke Motani, Lars Schmitz
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Nojun Kwak
May 16, 2013·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Quanxue GaoXiaogang Wang
Nov 13, 2012·IEEE Transactions on Cybernetics·Fadi Dornaika, Alireza Bosaghzadeh
Feb 14, 2006·IEEE Transactions on Pattern Analysis and Machine Intelligence·Heesung Kwon, Nasser M Nasrabadi
Feb 1, 2014·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Chuan-Xian RenZhao-Rong Lai
May 27, 2006·IEEE Transactions on Pattern Analysis and Machine Intelligence·Shaohua Kevin Zhou, Rama Chellappa
Jun 10, 2005·IEEE Transactions on Pattern Analysis and Machine Intelligence·Jieping Ye, Qi Li
Feb 16, 2008·IEEE Transactions on Pattern Analysis and Machine Intelligence·Kar-Ann Toh, How-Lung Eng
Feb 16, 2008·IEEE Transactions on Pattern Analysis and Machine Intelligence·Onur C Hamsici, Aleix M Martinez
Feb 15, 2007·IEEE Transactions on Pattern Analysis and Machine Intelligence·Jian YangBen Niu
Mar 8, 2005·IEEE Transactions on Pattern Analysis and Machine Intelligence·Tae-Kyun Kim, Josef Kittler
Feb 4, 2005·IEEE Transactions on Pattern Analysis and Machine Intelligence·Jian YangZhong Jin
May 16, 2012·IEEE Transactions on Pattern Analysis and Machine Intelligence·Hoda Mohammadzade, Dimitrios Hatzinakos
May 19, 2010·IEEE/ACM Transactions on Computational Biology and Bioinformatics·Jung Hun Oh, Jean Gao

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