Generalized Discriminant Analysis Using a Kernel Approach

Keywords

Kernel Fisher discriminant analysis, Linear discriminant analysis, Optimal discriminant analysis, Kernel (algebra), Pattern recognition (psychology)

References

• Handbook for Automatic Computation: Linear Algebra (Grundlehren Der Mathematischen Wissenschaften, Vol 186)J. H. Wilkinson, C. Reinsch, Fred Bauer — 1986
• Handbook for Automatic ComputationHeinz Rutishauser — 1960
• Support vector learningBernhard Schölkopf — 1997
• Theoretical Foundations of the Potential Function Method in Pattern Recognition LearningМ.А. Айзерман — 1964
• Improving the accuracy and speed of support vector learning machinesCjc Burges, Bernhard Schölkopf, Mozer — 1997
• Machines a vecteurs de support pour la reconnaissance des formes : proprietes et applicationsRodrigo Fernandez — 1999
• Introduction to statistical pattern recognition (2nd ed.)Keinosuke Fukunaga — 1990
• Support Vector Machines for Classification and RegressionS.R. Gunn — 1998
• Probabilistic neural networksDonald F. Specht — 1990
• A minimum error neural network (MNN)M.T. Musavi, K. Kalantri, W. Ahmed — 1993
• Probabilistic self-organizing map and radial basis function networksF. Anouar, F. Badran, Sylvie Thiria — 1998
• THE USE OF MULTIPLE MEASUREMENTS IN TAXONOMIC PROBLEMSRonald Aylmer Fisher — 1936
• Handbook for Automatic Computation. Vol II, Linear AlgebraBazilevsky M.P., J. H. Wilkinson, C. Reinsch — 1973
• Some stable methods for calculating inertia and solving symmetric linear systemsJames R. Bunch, Linda Kaufman — 1977
• Flexible Discriminant Analysis by Optimal ScoringTrevor Hastie, Robert Tibshirani, Andreas Buja — 1994
• A training algorithm for optimal margin classifiersBernhard E. Boser, Isabelle Guyon, Vladimir Vapnik — 1992
• Probabilités, Analyse des données et statistiqueR. Oger, Gilbert Saporta — 1991
• Matrix Algebra From a Statistician's PerspectiveEric R. Ziegel, David A. Harville — 1998
• Improving the Accuracy and Speed of Support Vector MachinesChristopher J. C. Burges, Bernhard Schölkopf — 1996
• An introduction to kernel-based learning algorithmsK. Müller, S. Mika, Gunnar Rätsch — 2001

Cited by

• Sélection automatique de modèle dans les machines à vecteurs de support : application à la reconnaissance d'images de chiffres manuscritsNedjem Eddine Ayat — 2004
• Atomic contact vectors in protein‐protein recognitionJulian Mintseris, Zhiping Weng — 2003
• Advances in dissimilarity-based data visualisationAndrej Gisbrecht — 2015
• Fast Kernel Discriminant Analysis for Classification of Liver Cancer Mass SpectraLeoncio Cabrero Fernández — 2011
• Mathematical Foundations of the Self Organized Neighbor Embedding (SONE) for Dimension Reduction and VisualizationKerstin Bunte, Sven Haase, Sven Haase — 2011
• Subspace Learning from Image Gradient OrientationsEnrico Reggiani — 2012
• A Perception-Driven Approach to Supervised Dimensionality Reduction for Visualization圭亮 北村, 俊祐 横山, 徹 徳尾野 — 2018
• Transductive De-Noising and Dimensionality Reduction using Total Bregman RegressionSreangsu Acharyya — 2006
• Discriminant learning for face recognitionKonstantinos N. Plataniotis, A.N. Venetsanopoulos, Juwei Lu — 2004
• Multifactor analysis for face recognition based on factor-dependent geometryMarios Savvides, Sung Won Park — 2011
• Intelligent data mining using kernel functions and information criteriaZhenqiu Liu, Hamparsum Bozdogan — 2002
• Using machine learning, general regression, and cox proportional hazards regression to predict the effectiveness of treatment in patients with breast cancerXiaoyan Wang, Dawn L. Hershman, Alfred I. Neugut — 2006
• A Kernel Maximum uncertainty Discriminant Analysis and its Application to Face RecognitionCarlos Eduardo Thomaz, Gilson A. Giraldi — 2009
• Face Recognition Based on Generalized Discriminant AnalysisYing Zhang, Wang Yao-nan — 2008
• Distribution temps-fréquence à paramétrisation radialement Gaussienne optimisée pour la classificationPaul Honeiné, Cédric Richard — 2008
• Statistical Models and Algorithms for Studying Hand and Finger Kinematics and their Neural MechanismsLucia Castellanos — 2013
• Kernel-based weighted discriminant analysis with QR decomposition and its application to face recognitionJianqiang Gao, Liya Fan — 2011
• Implementations of Fisher's Linear Discriminant Analysis from the Numerical Point of ViewPavel Schlesinger — 2005
• Applications of Discriminative Dimensionality ReductionBarbara Hammer, Andrej Gisbrecht, Alexander Schulz — 2013
• Genre Classification Using Bass-Related High-Level Features and Playing StylesJakob Abeßer, Hanna Lukashevich, Christian Dittmar — 2009

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