Reduced rank kernel ridge regression

Cawley, Gavin C. ORCID: https://orcid.org/0000-0002-4118-9095 and Talbot, Nicola L. C. (2002) Reduced rank kernel ridge regression. Neural Processing Letters, 16 (3). pp. 293-302. ISSN 1370-4621

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Abstract

Ridge regression is a classical statistical technique that attempts to address the bias-variance trade-off in the design of linear regression models. A reformulation of ridge regression in dual variables permits a non-linear form of ridge regression via the well-known 'kernel trick'. Unfortunately, unlike support vector regression models, the resulting kernel expansion is typically fully dense. In this paper, we introduce a reduced rank kernel ridge regression (RRKRR) algorithm, capable of generating an optimally sparse kernel expansion that is functionally identical to that resulting from conventional kernel ridge regression (KRR). The proposed method is demonstrated to out-perform an alternative sparse kernel ridge regression algorithm on the Motorcycle and Boston Housing benchmarks.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Computing Sciences
UEA Research Groups:	Faculty of Science > Research Groups > Data Science and Statistics Faculty of Science > Research Groups > Computational Biology Faculty of Science > Research Groups > Centre for Ocean and Atmospheric Sciences
Depositing User:	Vishal Gautam
Date Deposited:	13 Jun 2011 13:01
Last Modified:	22 Apr 2023 03:31
URI:	https://ueaeprints.uea.ac.uk/id/eprint/22159
DOI:	10.1023/A:1021798002258

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