Title :
Estimation of Covering Number in Learning Theory
Author :
Wang, JianJun ; Huang, Hua ; Luo, Zhangtao ; Chen, Baili
Author_Institution :
Sch. of Math. & Stat., Southwest Univ., Chongqing, China
Abstract :
Using the Chebyshev nodes and methods in reference, we established the estimation of covering number of learning theory in reproducing kernel Hilbert space. A counter example is presented to show that the estimation of covering number of Gaussian kernel functions.
Keywords :
Chebyshev approximation; Gaussian processes; Hilbert spaces; learning (artificial intelligence); Chebyshev nodes; Gaussian kernel functions; covering number; kernel Hilbert space; learning theory; Art; Chebyshev approximation; Counting circuits; Extraterrestrial measurements; Hilbert space; Interpolation; Kernel; Machine learning; Mathematics; Statistics; Covering number; Learning theory; Reproducing kernel Hilbert space;
Conference_Titel :
Semantics, Knowledge and Grid, 2009. SKG 2009. Fifth International Conference on
Conference_Location :
Zhuhai
Print_ISBN :
978-0-7695-3810-5
DOI :
10.1109/SKG.2009.27