Authors:
            
                    J. M. Górriz
                    
                        
                                1
                            
                    
                    ; 
                
                    C. G. Puntonet
                    
                        
                                2
                            
                    
                     and
                
                    E. W. Lang
                    
                        
                                3
                            
                    
                    
                
        
        
            Affiliations:
            
                    
                        
                                1
                            
                    
                    University of Cádiz, Spain
                
                    ; 
                
                    
                        
                                2
                            
                    
                    University of Granada, Spain
                
                    ; 
                
                    
                        
                                3
                            
                    
                    University of Regensburg, Germany
                
        
        
        
        
        
             Keyword(s):
            Support vector machines, structural risk minimization, kernel, on-line algorithms, matrix decompositions,
resource allocating network.
        
        
            
                Related
                    Ontology
                    Subjects/Areas/Topics:
                
                        Artificial Intelligence and Decision Support Systems
                    ; 
                        Enterprise Information Systems
                    ; 
                        Hybrid Learning Systems
                    ; 
                        Informatics in Control, Automation and Robotics
                    ; 
                        Intelligent Control Systems and Optimization
                    ; 
                        Knowledge-Based Systems Applications
                    ; 
                        Machine Learning in Control Applications
                    
            
        
        
            
                Abstract: 
                In this paper we show a new on-line parametric model for time series forecasting based on Vapnik-
Chervonenkis (VC) theory. Using the strong connection between support vector machines (SVM) and Regularization theory (RT), we propose a regularization operator in order to obtain a suitable expansion of radial basis functions (RBFs) with the corresponding expressions for updating neural parameters. This operator seeks for the attest function in a feature space, minimizing the risk functional. Finally we mention some modifications and extensions that can be applied to control neural resources and select relevant input space.