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On the Convergence Rate of Kernel-Based Sequential Greedy Regression
Author(s) -
Xiaoyin Wang,
Xiaoyan Wei,
Zhibin Pan
Publication year - 2012
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 - 10.1155/2012/619138
Subject(s) - mathematics , generalization , measure (data warehouse) , rate of convergence , kernel (algebra) , greedy algorithm , convergence (economics) , basis (linear algebra) , upper and lower bounds , mathematical optimization , combinatorics , mathematical analysis , computer science , data mining , computer network , channel (broadcasting) , geometry , economics , economic growth
A kernel-based greedy algorithm is presented to realize efficient sparse learning with data-dependent basis functions. Upper bound of generalization error is obtained based on complexity measure of hypothesis space with covering numbers. A careful analysis shows the error has a satisfactory decay rate under mild conditions

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