Academic Journal

Combining gradient information and primitive directions for high-performance Bound-Constrained mixed-integer optimization.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Combining gradient information and primitive directions for high-performance Bound-Constrained mixed-integer optimization.
Συγγραφείς: Lapucci, Matteo, Liuzzi, Giampaolo, Lucidi, Stefano, Mansueto, Pierluigi
Πηγή: Journal of Global Optimization; Feb2026, Vol. 94 Issue 2, p517-538, 22p
Θεματικοί όροι: Constrained optimization, Optimization algorithms, Nonsmooth optimization, Mathematical optimization, Mixed integer linear programming
Περίληψη: In this paper we consider bound-constrained mixed-integer optimization problems where the objective function is differentiable w.r.t. the continuous variables for every configuration of the integer variables. We mainly suggest to exploit derivative information when possible in these scenarios: concretely, we propose an algorithmic framework that carries out local optimization steps, alternating searches along gradient-based and primitive directions. The algorithm is shown to match the convergence properties of a derivative-free counterpart. Most importantly, the results of thorough computational experiments show that the proposed method clearly outperforms not only the derivative-free approach but also the main alternatives available from the literature to be used in the considered setting, both in terms of efficiency and effectiveness. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Global Optimization is the property of Springer Nature 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.)
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  – Url: https://dx.doi.org/doi:10.1007/s10898-025-01583-5
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  Data: Combining gradient information and primitive directions for high-performance Bound-Constrained mixed-integer optimization.
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  Data: <searchLink fieldCode="AR" term="%22Lapucci%2C+Matteo%22">Lapucci, Matteo</searchLink><br /><searchLink fieldCode="AR" term="%22Liuzzi%2C+Giampaolo%22">Liuzzi, Giampaolo</searchLink><br /><searchLink fieldCode="AR" term="%22Lucidi%2C+Stefano%22">Lucidi, Stefano</searchLink><br /><searchLink fieldCode="AR" term="%22Mansueto%2C+Pierluigi%22">Mansueto, Pierluigi</searchLink>
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  Data: Journal of Global Optimization; Feb2026, Vol. 94 Issue 2, p517-538, 22p
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  Data: <searchLink fieldCode="DE" term="%22Constrained+optimization%22">Constrained optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Optimization+algorithms%22">Optimization algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Nonsmooth+optimization%22">Nonsmooth optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Mixed+integer+linear+programming%22">Mixed integer linear programming</searchLink>
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  Data: In this paper we consider bound-constrained mixed-integer optimization problems where the objective function is differentiable w.r.t. the continuous variables for every configuration of the integer variables. We mainly suggest to exploit derivative information when possible in these scenarios: concretely, we propose an algorithmic framework that carries out local optimization steps, alternating searches along gradient-based and primitive directions. The algorithm is shown to match the convergence properties of a derivative-free counterpart. Most importantly, the results of thorough computational experiments show that the proposed method clearly outperforms not only the derivative-free approach but also the main alternatives available from the literature to be used in the considered setting, both in terms of efficiency and effectiveness. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Global Optimization is the property of Springer Nature 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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      – Type: doi
        Value: 10.1007/s10898-025-01583-5
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      – Code: eng
        Text: English
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        PageCount: 22
        StartPage: 517
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      – SubjectFull: Constrained optimization
        Type: general
      – SubjectFull: Optimization algorithms
        Type: general
      – SubjectFull: Nonsmooth optimization
        Type: general
      – SubjectFull: Mathematical optimization
        Type: general
      – SubjectFull: Mixed integer linear programming
        Type: general
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      – TitleFull: Combining gradient information and primitive directions for high-performance Bound-Constrained mixed-integer optimization.
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            – D: 01
              M: 02
              Text: Feb2026
              Type: published
              Y: 2026
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