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Main Authors: Chen, Chentong, Zhong, Mengyuan, Fan, Ye, Shi, Jialong, Sun, Jianyong
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2601.21239
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author Chen, Chentong
Zhong, Mengyuan
Fan, Ye
Shi, Jialong
Sun, Jianyong
author_facet Chen, Chentong
Zhong, Mengyuan
Fan, Ye
Shi, Jialong
Sun, Jianyong
contents Although Large Language Models have advanced Automated Heuristic Design, treating algorithm evolution as a monolithic text generation task overlooks the coupling between discrete algorithmic structures and continuous numerical parameters. Consequently, existing methods often discard promising algorithms due to uncalibrated constants and suffer from premature convergence resulting from simple similarity metrics. To address these limitations, we propose TIDE, a Tuning-Integrated Dynamic Evolution framework designed to decouple structural reasoning from parameter optimization. TIDE features a nested architecture where an outer parallel island model utilizes Tree Similarity Edit Distance to drive structural diversity, while an inner loop integrates LLM-based logic generation with a differential mutation operator for parameter tuning. Additionally, a UCB-based scheduler dynamically prioritizes high-yield prompt strategies to optimize resource allocation. Extensive experiments across nine combinatorial optimization problems demonstrate that TIDE discovers heuristics that significantly outperform state-of-the-art baselines in solution quality while achieving improved search efficiency and reduced computational costs.
format Preprint
id arxiv_https___arxiv_org_abs_2601_21239
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle TIDE: Tuning-Integrated Dynamic Evolution for LLM-Based Automated Heuristic Design
Chen, Chentong
Zhong, Mengyuan
Fan, Ye
Shi, Jialong
Sun, Jianyong
Artificial Intelligence
Although Large Language Models have advanced Automated Heuristic Design, treating algorithm evolution as a monolithic text generation task overlooks the coupling between discrete algorithmic structures and continuous numerical parameters. Consequently, existing methods often discard promising algorithms due to uncalibrated constants and suffer from premature convergence resulting from simple similarity metrics. To address these limitations, we propose TIDE, a Tuning-Integrated Dynamic Evolution framework designed to decouple structural reasoning from parameter optimization. TIDE features a nested architecture where an outer parallel island model utilizes Tree Similarity Edit Distance to drive structural diversity, while an inner loop integrates LLM-based logic generation with a differential mutation operator for parameter tuning. Additionally, a UCB-based scheduler dynamically prioritizes high-yield prompt strategies to optimize resource allocation. Extensive experiments across nine combinatorial optimization problems demonstrate that TIDE discovers heuristics that significantly outperform state-of-the-art baselines in solution quality while achieving improved search efficiency and reduced computational costs.
title TIDE: Tuning-Integrated Dynamic Evolution for LLM-Based Automated Heuristic Design
topic Artificial Intelligence
url https://arxiv.org/abs/2601.21239