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cs.LG2026
Verbalized Particle Posterior: Bayesian Inference over Natural Language Hypotheses
Yan Zhang, Shikan Lian, Shibo Li
Verbalized Machine Learning (VML) parameterizes a model as a natural-language prompt that an LLM evaluates as f(x; theta). The framework is interpretable, but it commits to a singl…
cs.LG2026
Regime-Adaptive Bayesian Optimization via Dirichlet Process Mixtures of Gaussian Processes
Yan Zhang, Xuefeng Liu, Sipeng Chen +3
Standard Bayesian Optimization (BO) assumes uniform smoothness across the search space an assumption violated in multi-regime problems such as molecular conformation search through…
cs.LG2025
Dynamic Bayesian Optimization Framework for Instruction Tuning in Partial Differential Equation Discovery
Junqi Qu, Yan Zhang, Shangqian Gao +1
Large Language Models (LLMs) show promise for equation discovery, yet their outputs are highly sensitive to prompt phrasing, a phenomenon we term instruction brittleness. Static pr…