Title : 
Convergence rate of structural risk minimization principle on quasi-probability space
         
        
            Author : 
Bai, Yun-Chao ; Wang, Peng
         
        
            Author_Institution : 
Coll. of Econ. Sci., Hebei Univ., Baoding, China
         
        
        
        
        
        
        
            Abstract : 
In this paper, the concepts of annealed entropy, growth function and VC dimension are proposed on quasi-probability space; the rate of uniform convergence of structural risk minimization principle based on VC dimension on quasi-probability space are given and proven. These lay the theoretical basis to systematically establish statistical learning theory and construe support vector machine on quasi-probability.
         
        
            Keywords : 
convergence; learning systems; probability; support vector machines; VC dimension; annealed entropy; convergence rate; growth function; quasi-probability space; statistical learning theory; structural risk minimization; support vector machine; Convergence; Cybernetics; Entropy; Presses; Risk management; Statistical learning; Convergence rate; Quasi-probability; Structural risk minimization principle;
         
        
        
        
            Conference_Titel : 
Machine Learning and Cybernetics (ICMLC), 2010 International Conference on
         
        
            Conference_Location : 
Qingdao
         
        
            Print_ISBN : 
978-1-4244-6526-2
         
        
        
            DOI : 
10.1109/ICMLC.2010.5580969