DocumentCode
3277261
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
Volume
3
fYear
2011
fDate
10-13 July 2011
Firstpage
1141
Lastpage
1145
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics (ICMLC), 2011 International Conference on
Conference_Location
Guilin
ISSN
2160-133X
Print_ISBN
978-1-4577-0305-8
Type
conf
DOI
10.1109/ICMLC.2011.6016929
Filename
6016929
Link To Document