A first-order regularized approach to the order-value optimization problem.
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| Title: | A first-order regularized approach to the order-value optimization problem. |
|---|---|
| Authors: | Álvarez, G. Q.1 (AUTHOR), Birgin, E. G.2 (AUTHOR) egbirgin@ime.usp.br |
| Source: | Optimization Methods & Software. Jun2025, Vol. 40 Issue 3, p650-674. 25p. |
| Subjects: | Optimization algorithms, Set functions, Parameter estimation, Problem solving |
| Abstract: | Minimization of the order-value function is part of a large family of problems involving functions whose value is calculated by sorting values from a set or subset of other functions. The order-value function has as particular cases the minimum and maximum functions of a set of functions and is well suited for applications involving robust estimation. In this paper, a first-order method with quadratic regularization to solve the problem of minimizing the order-value function is proposed. An optimality condition for the problem and theoretical results of iteration complexity and evaluation complexity for the proposed method are presented. The applicability of the problem and method to parameter estimation problems with outliers is illustrated. [ABSTRACT FROM AUTHOR] |
| Copyright of Optimization Methods & Software is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 185587746 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A first-order regularized approach to the order-value optimization problem. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Álvarez%2C+G%2E+Q%2E%22">Álvarez, G. Q.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Birgin%2C+E%2E+G%2E%22">Birgin, E. G.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> egbirgin@ime.usp.br</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Optimization+Methods+%26+Software%22">Optimization Methods & Software</searchLink>. Jun2025, Vol. 40 Issue 3, p650-674. 25p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Optimization+algorithms%22">Optimization algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Set+functions%22">Set functions</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Problem+solving%22">Problem solving</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Minimization of the order-value function is part of a large family of problems involving functions whose value is calculated by sorting values from a set or subset of other functions. The order-value function has as particular cases the minimum and maximum functions of a set of functions and is well suited for applications involving robust estimation. In this paper, a first-order method with quadratic regularization to solve the problem of minimizing the order-value function is proposed. An optimality condition for the problem and theoretical results of iteration complexity and evaluation complexity for the proposed method are presented. The applicability of the problem and method to parameter estimation problems with outliers is illustrated. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Optimization Methods & Software is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/10556788.2025.2453111 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 25 StartPage: 650 Subjects: – SubjectFull: Optimization algorithms Type: general – SubjectFull: Set functions Type: general – SubjectFull: Parameter estimation Type: general – SubjectFull: Problem solving Type: general Titles: – TitleFull: A first-order regularized approach to the order-value optimization problem. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Álvarez, G. Q. – PersonEntity: Name: NameFull: Birgin, E. G. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 10556788 Numbering: – Type: volume Value: 40 – Type: issue Value: 3 Titles: – TitleFull: Optimization Methods & Software Type: main |
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