arXiv Computation and Language By Hao Chen, Ziyang Ling, Ronald X. Xu, Mingzhai Sun

FGSS-BO: Feedback-Guided Hypothesis Management for LLM-Based Bayesian Optimization

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FGSS-BO introduces a Feedback‑Guided Search State (FGSS) framework that structures hypothesis management for large language model (LLM)‑guided Bayesian optimization. The system couples an LLM reflector, which proposes and revises hypotheses, with a deterministic curator that validates them and tracks test records, thereby linking language‑based guidance to observable evidence and parameter interventions. Applied to the LLAMBO platform, FGSS‑BO improves sample‑mean final best and search AUC on two retrospective protocol/media tasks, while also enabling inspection of hypotheses and their revisions across search rounds.

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