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An identity for kernel ridge regression

descriptionPublicationkeyboard_double_arrow_right Article , Part of book or chapter of book , Preprint , Conference object 01 Jan 2010Embargo end date: 01 Dec 2011 United Kingdom English Publisher:Elsevier BVJournal:Theoretical Computer Science, volume 473, pages 157-178 (issn: 0304-3975, Copyright policy )
Authors: Fedor Zhdanov; Yuri Kalnishkan;

doi: 10.1016/j.tcs.2012.10.016 , 10.1007/978-3-642-16108-7_32 , 10.48550/arxiv.1112.1390

arXiv: 1112.1390

An identity for kernel ridge regression

Abstract

This paper derives an identity connecting the square loss of ridge regression in on-line mode with the loss of the retrospectively best regressor. Some corollaries about the properties of the cumulative loss of on-line ridge regression are also obtained.

35 pages; extended version of ALT 2010 paper (Proceedings of ALT 2010, LNCS 6331, Springer, 2010)

Country
United Kingdom
Related Organizations
Keywords

FOS: Computer and information sciences, Computer Science - Machine Learning, 330, Faculty of Science\Computer Science, Theoretical Computer Science, Computer Science(all), Machine Learning (cs.LG)

  • BIP!
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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 14
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Top 10%
Top 10%
Average
Green
hybrid