LS-SVMlab swMATH ID: 7367 Software Authors: J.A.K. Suykens, T. Van Gestel, J. De Brabanter, B. De Moor, J. Vandewalle Description: LS-SVMlab: a matlab/c toolbox for least squares support vector machines. Support Vector Machines is a powerful methodology for solving problems in nonlinear classification, function estimation and density estimation which has also led to many other recent developments in kernel based methods in general. Originally, it has been introduced within the context of statistical learning theory and structural risk minimization. In the methods one solves convex optimization problems, typically quadratic programs. Least Squares Support Vector Machines (LS-SVM) are reformulations to the standard SVMs which lead to solving linear KKT systems. LS-SVMs are closely related to regularization networks and Gaussian processes but additionally emphasize and exploit primal-dual interpretations. Links between kernel versions of classical pattern recognition algorithms such as kernel Fisher discriminant analysis and extensions to unsupervised learning, recurrent networks and control are available. Robustness, sparseness and weightings can be incorporated into LS-SVMs where needed and a Bayesian framework with three levels of inference has been developed. LS-SVM based primal-dual formulations have been given to kernel PCA, kernel CCA and kernel PLS. Recent developments are in kernel spectral clustering, data visualization and dimensionality reduction, and survival analysis. For very large scale problems a method of Fixed Size LS-SVM is proposed. The present LS-SVMlab toolbox contains Matlab/C implementations for a number of LS-SVM algorithms. Homepage: http://www.esat.kuleuven.be/sista/lssvmlab/ Related Software: Matlab; UCI-ml; LIBSVM; RSVM; SVM Toolbox; longmemo; itsmr; Ox; OxMetrics; Julia; PROGRESS; LIBRA; Stata; SVM; ANFIS; PRMLT; OP-ELM; GPTIPS; VanHuffel; TFOCS Cited in: 25 Publications all top 5 Cited by 54 Authors 5 Suykens, Johan A. K. 3 Huang, XiaoLin 2 De Lathauwer, Lieven 2 Dutta, Pranab Kumar 2 Ghorai, Santanu 2 Kourehli, Seyed Sina 2 Mukherjee, Anirban 2 Signoretto, Marco 2 Xia, Xiao-Lei 1 Batan, M. 1 Baylar, A. 1 Ben Mabrouk, Anouar 1 Bertsimas, Dimitris John 1 Bogdanović, Vesna 1 Cao, Guangyi 1 Carbonneau, Réal A. 1 Centeno, Tonatiuh Peña 1 Chaâbane, Najeh 1 Chen, Yuehua 1 Dhifaoui, Zouhaier 1 Gavrovska, Ana 1 Grigorievskiy, Alexander 1 Hariharan, M. V. 1 Hornegger, Joachim 1 Hossain, Shaikh Jahangir 1 Irwin, George William 1 Jiao, Weidong 1 Kankar, P. K. 1 Kim, Junseok 1 Kortas, Hedi 1 Laframboise, Kevin 1 Lawrence, Neil D. 1 Lendasse, Amaury 1 Li, Kang 1 Liu, Xueqin 1 Maier, Andreas 1 Miche, Yoan 1 Padhy, Prabin Kumar 1 Pelckmans, Kristiaan 1 Polat, Kemal 1 Qian, Suxiang 1 Reljin, Branimir D. 1 Reljin, Irini 1 Séverin, Éric 1 Tam, Lap-Mou 1 Tran Dinh Quoc 1 Vahidov, Rustam M. 1 Van Parys, Bart P. G. 1 Ventelä, Anne-Mari 1 Wang, Jian 1 Xing, Huanlai 1 Yaacob, Sazali 1 Zajić, Goran 1 Zhu, Xinjian all top 5 Cited in 19 Serials 3 Mathematical Problems in Engineering 2 Neural Networks 2 Signal Processing 2 Machine Learning 2 Computational Statistics and Data Analysis 1 Meccanica 1 European Journal of Operational Research 1 Advances in Engineering Software 1 Applied and Computational Harmonic Analysis 1 Complexity 1 Journal of Applied Statistics 1 Journal of Biological Systems 1 Journal of Machine Learning Research (JMLR) 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Inverse Problems in Science and Engineering 1 Journal of Zhejiang University. Science A 1 International Journal of Intelligent Computing and Cybernetics 1 International Journal of Structural Stability and Dynamics 1 International Journal of Systems Science. Principles and Applications of Systems and Integration all top 5 Cited in 13 Fields 12 Computer science (68-XX) 10 Statistics (62-XX) 4 Operations research, mathematical programming (90-XX) 4 Biology and other natural sciences (92-XX) 3 Numerical analysis (65-XX) 3 Mechanics of deformable solids (74-XX) 3 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year