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BSVM   - A decomposition method for bound-constrained SVM formulations.
BudgetedSVM   - C++ toolbox containing highly optimized implementations of algorithms for scalable training of Support Vector Machine (SVM) approximators.
HeroSvm   - Support Vector Machine (SVM) represents the state-of-the-art classification technique. However, training SVM on a large training set becomes a bottleneck. HeroSvm is a high-performance library for training SVM for classification to solve this problem.
LibCVM   - The LibCVM Toolkit is a C++ implementation of the improved Core Vector Machine (CVM) and recently developed Ball Vector Machine (BVM), which are fast Support Vector Machine (SVM) training algorithms using core-set approximation on very large scale data sets.
LIBLINEAR: large scale linear SVM classifier  
LIBSVM -- A Library for Support Vector Machines   - LIBSVM is an integrated software for support vector classification, (C-SVC, nu-SVC ), regression (epsilon-SVR, nu-SVR) and distribution estimation (one-class SVM ). It supports multi-class classification.
lightning   - Large-scale linear classification, regression and ranking in Python
LS-SVMlab1.5 (Least Squares Support Vector Machines)   - Least Squares Support Vector Machines (LS-SVM) are reformulations to the standard SVMs which lead to solving linear KKT systems.
Matlab SVM Toolbox   - by Steve Gunn.
mySVM/db   - Support Vector Machine for Relational Databases.
Parallel GPDT   - GPDT is a C++ software designed to train large-scale Support Vector Machines (SVMs) for binary classification in both scalar and distributed memory parallel environments.
SVM in the primal  
SVM-QP   - Convext QP solver for large-scale support vector machines classification
SVM-struct   - Support Vector Machine for Complex Outputs
SVMlight is an implementation of Support Vector Machines (SVMs) in C.  Thorsten Joachims - SVMlight is an implementation of Support Vector Machines (SVMs) in C.
SVMTorch.   - Support Vector Machine for Large-Scale Regression and Classification Problems.
thundersvm   - A Fast SVM Library on GPUs and CPUs