Regularized Least Square Regression with Unbounded and Dependent Sampling
Author(s) -
Xiaorong Chu,
Hongwei Sun
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 - 10.1155/2013/139318
Subject(s) - square (algebra) , mathematics , combinatorics , scalable vector graphics , matrix (chemical analysis) , path (computing) , statistics , geometry , computer science , chemistry , chromatography , programming language , operating system
This paper mainly focuses on the least square regression problem for the -mixing and -mixing processes. The standard bound assumption for output data is abandoned and the learning algorithm is implemented with samples drawn from dependent sampling process with a more general output data condition. Capacity independent error bounds and learning rates are deduced by means of the integral operator technique
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