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New bounds for subset selection from conic relaxations

Walid Ben-Ameur and José Neto

European Journal of Operational Research, 2022, vol. 298, issue 2, 425-438

Abstract: New bounds are proposed for the subset selection problem which consists in minimizing the residual sum of squares subject to a cardinality constraint on the maximum number of non-zero variables. They rely on new convex relaxations providing both upper and lower bounds that are compared with others present in the literature. The performance of these methods is illustrated through computational experiments.

Keywords: Combinatorial optimization; Subset selection; Convex relaxation (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:298:y:2022:i:2:p:425-438

DOI: 10.1016/j.ejor.2021.07.011

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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