Open Access
2014 Constructive Analysis for Least Squares Regression with Generalized K-Norm Regularization
Cheng Wang, Weilin Nie
Abstr. Appl. Anal. 2014: 1-7 (2014). DOI: 10.1155/2014/458459


We introduce a constructive approach for the least squares algorithms with generalized K-norm regularization. Different from the previous studies, a stepping-stone function is constructed with some adjustable parameters in error decomposition. It makes the analysis flexible and may be extended to other algorithms. Based on projection technique for sample error and spectral theorem for integral operator in regularization error, we finally derive a learning rate.


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Cheng Wang. Weilin Nie. "Constructive Analysis for Least Squares Regression with Generalized K-Norm Regularization." Abstr. Appl. Anal. 2014 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022419
MathSciNet: MR3246333
Digital Object Identifier: 10.1155/2014/458459

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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