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This paper introduces Dynamic Constraint Learning (DCL), a novel machine learning framework designed to solve constrained optimization problems where constraint functions are unknown and inaccessible during the process. By leveraging local surrogate models within data-supported trust regions, DCL adapts dynamically to shifting data distributions while maintaining solution quality comparable to global offline methods with reduced computational overhead. The approach represents significant progress in handling black-box constraints for complex ML systems without requiring direct queries of sensitive or hidden functions.
Optimization with Dynamic Constraint Learning (DCL)
arXiv:2607.25719v1 Announce Type: new Abstract: We propose Dynamic Constraint Learning (DCL), a data-driven framework for constrained optimization when constraint functions are unknown and cannot be queried during optimization. At each iteration, the method learns a local surrogate from nearby data and solves a subproblem within a data-supported trust region. Compared with offline global constraint learning, the approach uses local surrogates that adapt to the data distribution during optimization and can achieve solution quality comparable to that of global models while using simpler local models and smaller optimization subproblems. We demonstrate the performance of DCL on a synthetic test problem and two case studies from the literature.
Abstract:We propose Dynamic Constraint Learning (DCL), a data-driven framework for constrained optimization when constraint functions are unknown and cannot be queried during optimization. At each iteration, the method learns a local surrogate from nearby data and solves a subproblem within a data-supported trust region. Compared with offline global constraint learning, the approach uses local surrogates that adapt to the data distribution during optimization and can achieve solution quality comparable to that of global models while using simpler local models and smaller optimization subproblems. We demonstrate the performance of DCL on a synthetic test problem and two case studies from the literature.
Machine Learning (cs.LG); Optimization and Control (math.OC)
arXiv:2607.25719 [cs.LG]
(or arXiv:2607.25719v1 [cs.LG] for this version)
https://doi.org/10.48550/arXiv.2607.25719 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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