Least Squares Support Vector Machine Classifiers

Authors:
J. A. K. Suykens;J. Vandewalle
Affiliations:
Katholieke Universiteit Leuven, Department of Electrical Engineering, ESAT-SISTA Kardinaal Mercierlaan 94, B–3001 Leuven (Heverlee), Belgium, e-mail: johan.suykens@esat.kuleuven.ac.be;Katholieke Universiteit Leuven, Department of Electrical Engineering, ESAT-SISTA Kardinaal Mercierlaan 94, B–3001 Leuven (Heverlee), Belgium, e-mail: johan.suykens@esat.kuleuven.ac.be
Venue:
Neural Processing Letters
Year:
1999

Citing 9
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IWANN'05 Proceedings of the 8th international conference on Artificial Neural Networks: computational Intelligence and Bioinspired Systems
A heuristic weight-setting algorithm for robust weighted least squares support vector regression

ICONIP'06 Proceedings of the 13 international conference on Neural Information Processing - Volume Part I
Towards non invasive diagnosis of scoliosis using semi-supervised learning approach

ICIAR'10 Proceedings of the 7th international conference on Image Analysis and Recognition - Volume Part II
Modified matrix splitting method for the support vector machine and its application to the credit classification of companies in Korea

Expert Systems with Applications: An International Journal
Evolutionary kernel density regression

Expert Systems with Applications: An International Journal
Non-sparse multiple kernel fisher discriminant analysis

The Journal of Machine Learning Research
Online independent reduced least squares support vector regression

Information Sciences: an International Journal
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Artificial Intelligence in Medicine
Brain tumor classification based on long echo proton MRS signals

Artificial Intelligence in Medicine
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International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
DRFLogitBoost: a double randomized decision forest incorporated with logitboosted decision stumps

ACIIDS'12 Proceedings of the 4th Asian conference on Intelligent Information and Database Systems - Volume Part I
Evolution strategy based adaptive Lq penalty support vector machines with Gauss kernel for credit risk analysis

Applied Soft Computing
Application of principal component analysis to ECG signals for automated diagnosis of cardiac health

Expert Systems with Applications: An International Journal
On minimum distribution discrepancy support vector machine for domain adaptation

Pattern Recognition
Pressure vessel state investigation based upon the least squares support vector machine

Mathematical and Computer Modelling: An International Journal
Android permissions: a perspective combining risks and benefits

Proceedings of the 17th ACM symposium on Access Control Models and Technologies
Pruning least objective contribution in KMSE

Neurocomputing
Semiparametric mixed-effect least squares support vector machine for analyzing pharmacokinetic and pharmacodynamic data

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Inverse matrix-free incremental proximal support vector machine

Decision Support Systems
A New Expert System for Diagnosis of Lung Cancer: GDA--LS_SVM

Journal of Medical Systems
Diagnostics of Filtered Analog Circuits with Tolerance Based on LS-SVM Using Frequency Features

Journal of Electronic Testing: Theory and Applications
Nyström approximate model selection for LSSVM

PAKDD'12 Proceedings of the 16th Pacific-Asia conference on Advances in Knowledge Discovery and Data Mining - Volume Part I
Recursive robust least squares support vector regression based on maximum correntropy criterion

Neurocomputing
DAGSVM vs. DAGKNN: an experimental case study with benthic macroinvertebrate dataset

MLDM'12 Proceedings of the 8th international conference on Machine Learning and Data Mining in Pattern Recognition
Energy consumption prediction in ironmaking process using hybrid algorithm of SVM and PSO

ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part II
Coded output support vector machine

ICIC'12 Proceedings of the 8th international conference on Intelligent Computing Theories and Applications
RSGALS-SVM: random subspace method applied to a LS-SVM ensemble optimized by genetic algorithm

IDEAL'12 Proceedings of the 13th international conference on Intelligent Data Engineering and Automated Learning
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 new support vector model-based imperialist competitive algorithm for time estimation in new product development projects

Robotics and Computer-Integrated Manufacturing
An Expert Support System for Breast Cancer Diagnosis using Color Wavelet Features

Journal of Medical Systems
Variability aware SVM macromodel based design centering of analog circuits

Analog Integrated Circuits and Signal Processing
Norm-mixed twin support vector machine classifier and its geometric algorithm

Neurocomputing
A generic model of multi-class support vector machine

International Journal of Intelligent Information and Database Systems
Non invasive classification system of scoliosis curve types using least-squares support vector machines

Artificial Intelligence in Medicine
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Neurocomputing
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Neurocomputing
Weighted extreme learning machine for imbalance learning

Neurocomputing
Estimating α-frontier technical efficiency with shape-restricted kernel quantile regression

Neurocomputing
An adaptive support vector regression based on a new sequence of unified orthogonal polynomials

Pattern Recognition
Support value based stent-graft marker detection

Pattern Recognition
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Knowledge-Based Systems
Deriving statistical significance maps for SVM based image classification and group comparisons

MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
Random subspace method and genetic algorithm applied to a LS-SVM ensemble

ICANN'12 Proceedings of the 22nd international conference on Artificial Neural Networks and Machine Learning - Volume Part II
Linear classifier combination and selection using group sparse regularization and hinge loss

Pattern Recognition Letters
Forecasting of turbine heat rate with online least squares support vector machine based on gravitational search algorithm

Knowledge-Based Systems
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ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part III
Online metric learning methods using soft margins and least squares formulations

SSPR'12/SPR'12 Proceedings of the 2012 Joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
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ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part II
Hyperdisk based large margin classifier

Pattern Recognition
Adaptive SVM-Based classification systems based on the improved endocrine-based PSO algorithm

AMT'12 Proceedings of the 8th international conference on Active Media Technology
Performance of corporate bankruptcy prediction models on imbalanced dataset: The effect of sampling methods

Knowledge-Based Systems
Multiclass classification machines with the complexity of a single binary classifier

Signal Processing
Soft large margin clustering

Information Sciences: an International Journal
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Neurocomputing
Context enhanced graphical model for object localization in medical images

MCV'12 Proceedings of the Second international conference on Medical Computer Vision: recognition techniques and applications in medical imaging
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CICLing'13 Proceedings of the 14th international conference on Computational Linguistics and Intelligent Text Processing - Volume 2
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Applied Soft Computing
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Applied Soft Computing
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Neurocomputing
A vector-valued support vector machine model for multiclass problem

Information Sciences: an International Journal
Characterization of ECG beats from cardiac arrhythmia using discrete cosine transform in PCA framework

Knowledge-Based Systems
Multi-output least-squares support vector regression machines

Pattern Recognition Letters
Risk group detection and survival function estimation for interval coded survival methods

Neurocomputing
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Advances in Artificial Intelligence
Constrained stochastic gradient descent for large-scale least squares problem

Proceedings of the 19th ACM SIGKDD international conference on Knowledge discovery and data mining
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Advances in variation-aware modeling, verification, and testing of analog ICs

DATE '12 Proceedings of the Conference on Design, Automation and Test in Europe
Online algorithm based on support vectors for orthogonal regression

Pattern Recognition Letters
Asymptotic error bounds for kernel-based Nyström low-rank approximation matrices

Journal of Multivariate Analysis
Twin least squares support vector regression

Neurocomputing
Eigenvalues perturbation of integral operator for kernel selection

Proceedings of the 22nd ACM international conference on Conference on information & knowledge management
Smooth Nonparametric Copula Estimation with Least Squares Support Vector Regression

Neural Processing Letters
Regularized vector field learning with sparse approximation for mismatch removal

Pattern Recognition
Local scaling heuristic-based regularization for pattern classification

Neurocomputing
Melt index prediction using optimized least squares support vector machines based on hybrid particle swarm optimization algorithm

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Local fisher discriminant analysis with locally linear embedding affinity matrix

ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part I
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ICP: A novel approach to predict prognosis of prostate cancer with inner-class clustering of gene expression data

Computers in Biology and Medicine
Binary coded output support vector machine

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Multiple kernel learning for emotion recognition in the wild

Proceedings of the 15th ACM on International conference on multimodal interaction
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Letters: A novel online adaptive kernel method with kernel centers determined by a support vector regression approach

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Computer Methods and Programs in Biomedicine
Efficient sparse least squares support vector machines for pattern classification

Computers & Mathematics with Applications
Robust feature selection based on regularized brownboost loss

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Artificial Intelligence Review
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Analog Integrated Circuits and Signal Processing
Estimator selection and combination in scalar-on-function regression

Computational Statistics & Data Analysis
Optimal control location for the customer-oriented design of smart phones

Information Sciences: an International Journal
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Computer Methods and Programs in Biomedicine
Pareto Optimality in Organelle Energy Metabolism Analysis

IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
A prior-knowledge input LSSVR metamodeling method with tuning based on cellular particle swarm optimization for engineering design

Expert Systems with Applications: An International Journal
White box radial basis function classifiers with component selection for clinical prediction models

Artificial Intelligence in Medicine
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Sparse least square support vector machine via coupled compressive pruning

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Least squares twin parametric-margin support vector machine for classification

Applied Intelligence
Discriminality-driven regularization framework for indefinite kernel machine

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Improved diagnostics for the incipient faults in analog circuits using LSSVM based on PSO algorithm with Mahalanobis distance

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Learning to Rank with Extreme Learning Machine

Neural Processing Letters
Modeling financial dependence with support vector regression

Intelligent Data Analysis
Extending twin support vector machine classifier for multi-category classification problems

Intelligent Data Analysis

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Abstract

In this letter we discuss a least squares version for support vector machine (SVM) classifiers. Due to equality type constraints in the formulation, the solution follows from solving a set of linear equations, instead of quadratic programming for classical SVM‘s. The approach is illustrated on a two-spiral benchmark classification problem.