Large Language Model-Based Evolutionary Optimizer: Reasoning with elitism
arxiv(2024)
摘要
Large Language Models (LLMs) have demonstrated remarkable reasoning
abilities, prompting interest in their application as black-box optimizers.
This paper asserts that LLMs possess the capability for zero-shot optimization
across diverse scenarios, including multi-objective and high-dimensional
problems. We introduce a novel population-based method for numerical
optimization using LLMs called Language-Model-Based Evolutionary Optimizer
(LEO). Our hypothesis is supported through numerical examples, spanning
benchmark and industrial engineering problems such as supersonic nozzle shape
optimization, heat transfer, and windfarm layout optimization. We compare our
method to several gradient-based and gradient-free optimization approaches.
While LLMs yield comparable results to state-of-the-art methods, their
imaginative nature and propensity to hallucinate demand careful handling. We
provide practical guidelines for obtaining reliable answers from LLMs and
discuss method limitations and potential research directions.
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