The nature of statistical learning theory
The nature of statistical learning theory
Parallel Gradient Distribution in Unconstrained Optimization
SIAM Journal on Control and Optimization
Smoothing methods for convex inequalities and linear complementarity problems
Mathematical Programming: Series A and B
A class of smoothing functions for nonlinear and mixed complementarity problems
Computational Optimization and Applications
Solving the quadratic programming problem arising in support vector classification
Advances in kernel methods
Making large-scale support vector machine learning practical
Advances in kernel methods
Fast training of support vector machines using sequential minimal optimization
Advances in kernel methods
On Homotopy-Smoothing Methods for Box-Constrained Variational Inequalities
SIAM Journal on Control and Optimization
Learning from Data: Concepts, Theory, and Methods
Learning from Data: Concepts, Theory, and Methods
Smooth Approximations to Nonlinear Complementarity Problems
SIAM Journal on Optimization
A Tutorial on Support Vector Machines for Pattern Recognition
Data Mining and Knowledge Discovery
Feature Selection via Concave Minimization and Support Vector Machines
ICML '98 Proceedings of the Fifteenth International Conference on Machine Learning
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
Successive overrelaxation for support vector machines
IEEE Transactions on Neural Networks
Proximal support vector machine classifiers
Proceedings of the seventh ACM SIGKDD international conference on Knowledge discovery and data mining
Data mining with sparse grids using simplicial basis functions
Proceedings of the seventh ACM SIGKDD international conference on Knowledge discovery and data mining
Computing
Survival-Time Classification of Breast Cancer Patients
Computational Optimization and Applications
Shrinkage estimator generalizations of Proximal Support Vector Machines
Proceedings of the eighth ACM SIGKDD international conference on Knowledge discovery and data mining
A tutorial on support vector regression
Statistics and Computing
Multicategory Proximal Support Vector Machine Classifiers
Machine Learning
Supervised versus multiple instance learning: an empirical comparison
ICML '05 Proceedings of the 22nd international conference on Machine learning
Convex Kernel Underestimation of Functions with Multiple Local Minima
Computational Optimization and Applications
Classification using a sparse combination of basis functions
Acta Cybernetica
Training a Support Vector Machine in the Primal
Neural Computation
Smoothed penalty algorithms for optimization of nonlinear models
Computational Optimization and Applications
The optimal design of weighted order statistics filters by using support vector machines
EURASIP Journal on Applied Signal Processing
Semismooth Newton support vector machine
Pattern Recognition Letters
A two-level approach to choose the cost parameter in support vector machines
Expert Systems with Applications: An International Journal
Application of smoothing technique on twin support vector machines
Pattern Recognition Letters
Oblique Support Vector Machines
Informatica
Simulation of Time Series Prediction Based on Smooth Support Vector Regression
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks, Part III
Fast Optimization Methods for L1 Regularization: A Comparative Study and Two New Approaches
ECML '07 Proceedings of the 18th European conference on Machine Learning
Expert Systems with Applications: An International Journal
Game bot identification based on manifold learning
Proceedings of the 7th ACM SIGCOMM Workshop on Network and System Support for Games
A Quasi-Newton Approach to Nonsmooth Convex Optimization Problems in Machine Learning
The Journal of Machine Learning Research
The minimum redundancy-maximum relevance approach to building sparse support vector machines
IDEAL'09 Proceedings of the 10th international conference on Intelligent data engineering and automated learning
Privacy-preserving outsourcing support vector machines with random transformation
Proceedings of the 16th ACM SIGKDD international conference on Knowledge discovery and data mining
On Lagrangian support vector regression
Expert Systems with Applications: An International Journal
A meta-heuristic approach for improving the accuracy in some classification algorithms
Computers and Operations Research
Noise reduction for instance-based learning with a local maximal margin approach
Journal of Intelligent Information Systems
Robust 1-norm soft margin smooth support vector machine
IDEAL'10 Proceedings of the 11th international conference on Intelligent data engineering and automated learning
Trajectory based behavior analysis for user verification
IDEAL'10 Proceedings of the 11th international conference on Intelligent data engineering and automated learning
A new smooth support vector machine
AICI'10 Proceedings of the 2010 international conference on Artificial intelligence and computational intelligence: Part I
Smooth Bayesian kernel machines
ICANN'05 Proceedings of the 15th international conference on Artificial neural networks: formal models and their applications - Volume Part II
SBAD: sequence based attack detection via sequence comparison
PSDML'10 Proceedings of the international ECML/PKDD conference on Privacy and security issues in data mining and machine learning
Kernel machines for epilepsy diagnosis via EEG signal classification: A comparative study
Artificial Intelligence in Medicine
ICNC'06 Proceedings of the Second international conference on Advances in Natural Computation - Volume Part I
IWDM'06 Proceedings of the 8th international conference on Digital Mammography
A smoothing support vector machine based on exact penalty function
CIS'05 Proceedings of the 2005 international conference on Computational Intelligence and Security - Volume Part I
A new smooth support vector machine
CIS'05 Proceedings of the 2005 international conference on Computational Intelligence and Security - Volume Part I
Model trees for classification of hybrid data types
IDEAL'05 Proceedings of the 6th international conference on Intelligent Data Engineering and Automated Learning
Semi-supervised image classification for automatic construction of a health image library
Proceedings of the 2nd ACM SIGHIT International Health Informatics Symposium
A smoothing multiple support vector machine model
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
ICCSA'10 Proceedings of the 2010 international conference on Computational Science and Its Applications - Volume Part IV
A new smooth support vector regression based on ε-insensitive logistic loss function
ICNC'05 Proceedings of the First international conference on Advances in Natural Computation - Volume Part I
A polynomial smooth support vector machine for classification
ADMA'05 Proceedings of the First international conference on Advanced Data Mining and Applications
Simplify decision function of reduced support vector machines
MICAI'05 Proceedings of the 4th Mexican international conference on Advances in Artificial Intelligence
Inverse matrix-free incremental proximal support vector machine
Decision Support Systems
Computer Methods and Programs in Biomedicine
Trajectory analysis for user verification and recognition
Knowledge-Based Systems
Fast opposite maps: an iterative SOM-Based method for building reduced-set SVMs
IDEAL'12 Proceedings of the 13th international conference on Intelligent Data Engineering and Automated Learning
Review: Supervised classification and mathematical optimization
Computers and Operations Research
A sequential algorithm for sparse support vector classifiers
Pattern Recognition
Finite Newton method for implicit Lagrangian support vector regression
International Journal of Knowledge-based and Intelligent Engineering Systems
Smooth Newton method for implicit Lagrangian twin support vector regression
International Journal of Knowledge-based and Intelligent Engineering Systems
Smooth support vector learning for fuzzy rule-based classification systems
Intelligent Data Analysis
TS-fuzzy modeling based on ε-insensitive smooth support vector regression
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Smoothing methods, extensively used for solving important mathematical programming problems and applications, are applied here to generate and solve an unconstrained smooth reformulation of the support vector machine for pattern classification using a completely arbitrary kernel. We term such reformulation a smooth support vector machine (SSVM). A fast Newton–Armijo algorithm for solving the SSVM converges globally and quadratically. Numerical results and comparisons are given to demonstrate the effectiveness and speed of the algorithm. On six publicly available datasets, tenfold cross validation correctness of SSVM was the highest compared with four other methods as well as the fastest. On larger problems, SSVM was comparable or faster than SVMlight (T. Joachims, in Advances in Kernel Methods—Support Vector Learning, MIT Press: Cambridge, MA, 1999), SOR (O.L. Mangasarian and David R. Musicant, IEEE Transactions on Neural Networks, vol. 10, pp. 1032–1037, 1999) and SMO (J. Platt, in Advances in Kernel Methods—Support Vector Learning, MIT Press: Cambridge, MA, 1999). SSVM can also generate a highly nonlinear separating surface such as a checkerboard.