Optimal control by least squares support vector machines
Neural Networks
A Tutorial on Support Vector Machines for Pattern Recognition
Data Mining and Knowledge Discovery
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
The Journal of Machine Learning Research
Information Sciences: an International Journal
Gini Support Vector Machine: Quadratic Entropy Based Robust Multi-Class Probability Regression
The Journal of Machine Learning Research
Induction of multiple fuzzy decision trees based on rough set technique
Information Sciences: an International Journal
Support vector regression from simulation data and few experimental samples
Information Sciences: an International Journal
Improving generalization of fuzzy IF-THEN rules by maximizing fuzzy entropy
IEEE Transactions on Fuzzy Systems
Exploiting uncertain data in support vector classification
KES'07/WIRN'07 Proceedings of the 11th international conference, KES 2007 and XVII Italian workshop on neural networks conference on Knowledge-based intelligent information and engineering systems: Part III
Knowledge based Least Squares Twin support vector machines
Information Sciences: an International Journal
Simultaneous feature selection and classification using kernel-penalized support vector machines
Information Sciences: an International Journal
A probabilistic SVM based decision system for pain diagnosis
Expert Systems with Applications: An International Journal
Evolution strategies based adaptive Lp LS-SVM
Information Sciences: an International Journal
A Probabilistic Wavelet System for Stochastic and Incomplete Data-Based Modeling
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A new fuzzy support vector machine to evaluate credit risk
IEEE Transactions on Fuzzy Systems
A probabilistic fuzzy logic system for modeling and control
IEEE Transactions on Fuzzy Systems
A Probabilistic Neural-Fuzzy Learning System for Stochastic Modeling
IEEE Transactions on Fuzzy Systems
The evidence framework applied to support vector machines
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
Survey of clustering algorithms
IEEE Transactions on Neural Networks
Reduced Support Vector Machines: A Statistical Theory
IEEE Transactions on Neural Networks
A probabilistic SVM based decision system for pain diagnosis
Expert Systems with Applications: An International Journal
A proximal classifier with consistency
Knowledge-Based Systems
Traffic sign recognition using group sparse coding
Information Sciences: an International Journal
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The support vector machines (SVMs) have gained visibility and been thoroughly studied in the machine learning community. However, the performance of these machines is sensitive to noisy data and the machine may not be effective when the level of noise is high. Since the noise makes the separating margin of SVM to be a stochastic variable, a probabilistic support vector machine (PSVM) is proposed to capture the probabilistic information of the separating margin and formulate the decision function within such a noisy environment. First, all data are clustered, upon which different subsets are formed by PCA-based sampling; then, a distributed SVM system is constructed to estimate the separating margin for each subset. Next, a quadratic optimization problem is being solved with the use of probabilistic information extracted from separating margins to determine the decision function. Using the weighted average of probability of cluster centers, the confidence of the decision can be estimated. An artificial dataset and four real-life datasets from a UCI machine learning database are used to demonstrate the effectiveness of the proposed probabilistic SVM.