Title :
The key theorem of learning theory based on hybrid variable
Author :
Sun, Xiao-jing ; Wang, Chao ; Ha, Ming-Hu ; Tian, Da-Zeng
Author_Institution :
Coll. of Math. & Comput. Sci., Hebei Univ., Baoding, China
Abstract :
The definitions of hybrid empirical risk functional, hybrid excepted risk functional and hybrid empirical risk minimization principle in chance space are proposed; The Khintchine law of large numbers based on hybrid variable in chance space is proved; And the key theorem of learning theory based on hybrid variable in chance space is proved.
Keywords :
learning (artificial intelligence); minimisation; Khintchine law; hybrid empirical risk minimization; hybrid excepted risk functional; hybrid variable; learning theory; Convergence; Cybernetics; Educational institutions; Risk management; Statistical learning; Uncertainty; Chance space; Empirical risk minimization principle; Hybrid variable; Key theorem;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2011 International Conference on
Conference_Location :
Guilin
Print_ISBN :
978-1-4577-0305-8
DOI :
10.1109/ICMLC.2011.6016929
