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Paper · arXiv

SMCEvolve: Principled Scientific Discovery via Sequential Monte Carlo Evolution

LLM-driven program evolution has emerged as a powerful tool for automated scientific discovery, yet existing frameworks offer no principled guide for designing their individual components and provide no guarantee that the search converges. We introduce SMCEvolve, which recasts program search as sampling from a reward-tilted target distribution and approximates it with a Sequential Monte Carlo (SMC) sampler. From this view, three core mechanisms emerge as principled components: adaptive parent resampling, mixture of mutation with acceptance, and automatic convergence control. We further provide a finite-sample complexity analysis that bounds the LLM-call budget required to reach a target a...

AuthorsJiachen Jiang, Huminhao Zhu, Zhihui Zhu
Primary categorycs.AI
Published14 May 2026
Last updated at source14 May 2026
cs.AIcs.LGcs.MA
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