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TRIDENT-DE: Triple-Operator Differential Evolution with Adaptive Restarts and Greedy Refinement

Vasileios Charilogis, Ioannis G. Tsoulos () and Anna Maria Gianni
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Vasileios Charilogis: Department of Informatics and Telecommunications, University of Ioannina, Kostaki, 47150 Artas, Greece
Ioannis G. Tsoulos: Department of Informatics and Telecommunications, University of Ioannina, Kostaki, 47150 Artas, Greece
Anna Maria Gianni: Department of Informatics and Telecommunications, University of Ioannina, Kostaki, 47150 Artas, Greece

Future Internet, 2025, vol. 17, issue 11, 1-30

Abstract: This paper introduces TRIDENT-DE, a novel ensemble-based variant of Differential Evolution (DE) designed to tackle complex continuous global optimization problems. The algorithm leverages three complementary trial vector generation strategies best/1/bin, current-to-best/1/bin, and pbest/1/bin executed within a self-adaptive framework that employs jDE parameter control. To prevent stagnation and premature convergence, TRIDENT-DE incorporates adaptive micro-restart mechanisms, which periodically reinitialize a fraction of the population around the elite solution using Gaussian perturbations, thereby sustaining exploration even in rugged landscapes. Additionally, the algorithm integrates a greedy line-refinement operator that accelerates convergence by projecting candidate solutions along promising base-to-trial directions. These mechanisms are coordinated within a mini-batch update scheme, enabling aggressive iteration cycles while preserving diversity in the population. Experimental results across a diverse set of benchmark problems, including molecular potential energy surfaces and engineering design tasks, show that TRIDENT-DE consistently outperforms or matches state-of-the-art optimizers in terms of both best-found and mean performance. The findings highlight the potential of multi-operator, restart-aware DE frameworks as a powerful approach to advancing the state of the art in global optimization.

Keywords: Differential Evolution; metaheuristics; regenerative computing; hybridization; evolutionary algorithms; global optimization; mutation strategies (search for similar items in EconPapers)
JEL-codes: O3 (search for similar items in EconPapers)
Date: 2025
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