Open AccessThe Learning Rates of Regularized Regression Based on Reproducing Kernel Banach Spaces
Author(s) -
Baohuai Sheng,
Peixin Ye
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/694181
Subject(s) - mathematics , banach space , kernel (algebra) , regular polygon , combinatorics , mathematical analysis , geometry
We study the convergence behavior of regularized regression based on reproducing kernel Banach spaces (RKBSs). The convex inequality of uniform convex Banach spaces is used to show the robustness of the optimal solution with respect to the distributions. The learning rates are derived in terms of the covering number and K-functional
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