arXiv:2605.05382math.OCcs.LG2026-05

用元学习提升贝叶斯优化在小样本下的化工过程优化效率

Meta-learning for sample-efficient Bayesian optimisation of fed-batch processes

论文配图:Meta-learning for sample-efficient Bayesian optimisation of fed-batch processes
图 1 · 摘自论文原文
  • 引入元学习神经微分方程模型SANODEP替代传统高斯过程
  • 在少量实验下实现更优目标,对分布内外批次均有效
  • 适合实验成本高、数据稀缺的生物化学过程优化场景

发酵批处理过程的配方优化面临固有且不可测的批次波动,其轨迹难以建模且测量成本高昂。贝叶斯优化(BayesOpt)适用于昂贵函数的采样与优化,但其常用的高斯过程(GP)模型静态且泛化能力差,难以适应具有随机参数的时间变化过程。本文提出系统感知神经微分方程过程(SANODEP)作为元学习模型,克服GP局限,在青霉素批处理案例中验证:在低数据条件下,SANODEP显著优于基于GP的贝叶斯优化,即使在分布外批次上也表现更优,展现出强泛化能力。该方法可减少实验次数,加速初始优化阶段,适用于实验成本高的过程优化。

原文摘要 · Abstract (English)

The optimisation of fed-batch (bio)chemical process recipes is subject to inherent, underlying, and unmeasurable fluctuations across batches, whose trajectories are difficult to model and costly to measure. Bayesian Optimisation (BayesOpt) is a powerful tool for sampling and optimisation of expensive-to-measure functions. Gaussian Processes (GPs), the surrogate models used in BayesOpt, are static, forecast poorly, and lack generalisation across experiments, limiting their applicability to time-varying batch processes with stochastic parameters, i.e., process fluctuations. This work investigates System-Aware Neural ODE Processes (SANODEP) as a meta-learning model to overcome the limitations of GPs and increase few-shot optimisation performance in BayesOpt. Using a penicillin batch production case study, we find that SANODEP outperforms GP-based BayesOpt in the low-data regime, resulting in improved objectives when few experimental runs are performed. These improvements are observed in both on- and off-distribution batches, highlighting the generalisation capabilities of SANODEP. Using this approach, batch process operators can accelerate the initial optimisation steps in BayesOpt by deploying meta-learning or optimise the process with fewer experiments when the experimental cost is high.

贝叶斯优化元学习发酵过程小样本

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。