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Paper · arXiv

Back to the Beginning of Heuristic Design: Bridging Code and Knowledge with LLMs

Large language models (LLMs) have recently advanced automatic heuristic design (AHD) for combinatorial optimization (CO), where candidate heuristics are iteratively proposed, evaluated, and refined. Most existing approaches search over executable programs and distill insights from execution feedback to guide later iterations. Because this process moves from low-level implementations to high-level principles, we refer to it as a bottom-up paradigm. We argue that this view is incomplete and introduce a complementary top-down perspective: knowledge becomes the primary search object and code merely instantiates and tests it, making what is learned explicit and reusable across problems and tra...

AuthorsNguyen Viet Tuan Kiet, Bui Dinh Pham, Dao Van Tung et al.
Primary categorycs.AI
Published7 May 2026
Last updated at source7 May 2026
cs.AI
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