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Mathematics in Engineering
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On an unsupervised method for parameter selection for the elastic net

Authors: Kereta, Zeljko; Naumova, Valeriya;

On an unsupervised method for parameter selection for the elastic net

Abstract

<abstract><p>Despite recent advances in regularization theory, the issue of parameter selection still remains a challenge for most applications. In a recent work the framework of statistical learning was used to approximate the optimal Tikhonov regularization parameter from noisy data. In this work, we improve their results and extend the analysis to the elastic net regularization. Furthermore, we design a data-driven, automated algorithm for the computation of an approximate regularization parameter. Our analysis combines statistical learning theory with insights from regularization theory. We compare our approach with state-of-the-art parameter selection criteria and show that it has superior accuracy.</p></abstract>

Country
United Kingdom
Related Organizations
Keywords

T57-57.97, Applied mathematics. Quantitative methods, Learning and adaptive systems in artificial intelligence, sub-gaussian vectors, elastic net data-driven regularization, noisy data, matrix concentration inequality, optimal Tikhonov regularization parameter, sub-Gaussian vector, iterative thresholding, parameter selection, Stochastic and other probabilistic methods applied to problems in solid mechanics, data-driven regularization, matrix concentration inequalities, Thin bodies, structures, statistical learnin, elastic net regularization

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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!
1
Average
Average
Average
Green
gold