A solution approach for cardinality minimization problem based on fractional programming

S. M. Mirhadi and S. A. MirHassani ()
Additional contact information
S. M. Mirhadi: Amirkabir University of Technology (Polytechnic Tehran)
S. A. MirHassani: Amirkabir University of Technology (Polytechnic Tehran)

Journal of Combinatorial Optimization, 2022, vol. 44, issue 1, No 28, 583-602

Abstract: Abstract This paper proposes a new algorithm for solving the linear Cardinality Minimization Problem (CMP). The algorithm relies on approximating the nonconvex and non-smooth function, $$card(x)$$ c a r d ( x ) , with a linear fractional one. Therefore, the cardinality minimization problem is converted to the sum-of-ratio problem. The new model is solved with an optimization algorithm proposed for finding the optimal solution to the ratio problem. In the numerical experiments, we focus on two types of CMP problems with inequality and equality constraints. We provide a series of examples to evaluate the performance of the proposed algorithm, showing its efficiency.

Keywords: Cardinality minimization problem; Cardinality function; Sum-of-ratio problem; Sparse signals (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10878-022-00847-0 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jcomop:v:44:y:2022:i:1:d:10.1007_s10878-022-00847-0

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10878

DOI: 10.1007/s10878-022-00847-0

Access Statistics for this article

Journal of Combinatorial Optimization is currently edited by Thai, My T.

More articles in Journal of Combinatorial Optimization from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().