Exact continuous relaxations of ℓ0-regularized criteria with non-quadratic data terms

We consider the minimization of ℓ0-regularized criteria involving non-quadratic data terms such as the Kullback-Leibler divergence and the logistic regression, possibly combined with an ℓ2 regularization. We first prove the existence of global minimizers for such problems and characterize their loca...

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Bibliographic Details

Published in:	Journal of global optimization Vol. 93; no. 3; pp. 651 - 699
Main Authors:	Essafri, Mhamed, Calatroni, Luca, Soubies, Emmanuel
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Nature B.V 01.11.2025 Springer Verlag
Subjects:	Algorithms Approximation Convex analysis Convexity Criteria Fines & penalties Mathematics Optimization Regression analysis Regularization Sparsity
ISSN:	0925-5001, 1573-2916
Online Access:	Get full text
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