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arXiv 2402.13402cs.LG

通过非交互式与交互式多保真贝叶斯优化加速物理发现:当前挑战与未来机遇

Towards accelerating physical discovery via non-interactive and interactive multi-fidelity Bayesian Optimization: Current challenges and future opportunities

UT-Battelle, LLC(UT-Battelle有限责任公司);U.S. Department of Energy(美国能源部)

Arpan Biswas, Sai Mani Prudhvi Valleti, Rama Vasudevan, Maxim Ziatdinov, Sergei V. Kalinin

AI总结:

本文提出从数据驱动MFBO到物理驱动sMFBO,再到人在回路的交互式iMFBO的多保真贝叶斯优化工作流,并在Ising模型上验证了物理知识注入与实时人类决策对加速物理发现探索的作用。

摘要:

计算和实验材料发现都带来了探索多维且通常不可微参数空间的挑战,例如具有多种相互作用的哈密顿量相图、组合库的组成空间、工艺空间以及分子嵌入空间。通常,评估这些系统中的单个实例成本高昂或耗时,因此基于穷举网格或随机搜索的经典方法数据密集度过高。这导致人们对主动学习方法(如贝叶斯优化,BO)产生了浓厚兴趣,其中自适应探索基于人类学习(发现)目标进行。然而,经典BO基于预定义的优化目标,平衡探索与利用的策略完全由数据驱动。在实际场景中,领域专家可以以部分已知物理规律的形式对系统提出先验知识,并且常在实验过程中改变探索策略。在此,我们探索建立在多保真BO(MFBO)之上的交互式工作流,从经典(数据驱动)MFBO开始,再到结构化(物理驱动)sMFBO,并将其扩展为允许人在回路的交互式iMFBO工作流,以实现自适应且与领域专家对齐的探索。这些方法在由Ising模型生成的高度非光滑多保真模拟数据上进行了演示,将自旋-自旋相互作用视为参数空间,将晶格尺寸视为保真度空间,并将目标设为最大化热容。详细分析和比较显示了物理知识注入和实时人类决策对改进探索的影响、当前挑战,以及结合数据、物理和实时人类决策进行算法开发的潜在机遇。

英文摘要:

Both computational and experimental material discovery bring forth the challenge of exploring multidimensional and often non-differentiable parameter spaces, such as phase diagrams of Hamiltonians with multiple interactions, composition spaces of combinatorial libraries, processing spaces, and molecular embedding spaces. Often these systems are expensive or time-consuming to evaluate a single instance, and hence classical approaches based on exhaustive grid or random search are too data intensive. This resulted in strong interest towards active learning methods such as Bayesian optimization (BO) where the adaptive exploration occurs based on human learning (discovery) objective. However, classical BO is based on a predefined optimization target, and policies balancing exploration and exploitation are purely data driven. In practical settings, the domain expert can pose prior knowledge on the system in form of partially known physics laws and often varies exploration policies during the experiment. Here, we explore interactive workflows building on multi-fidelity BO (MFBO), starting with classical (data-driven) MFBO, then structured (physics-driven) sMFBO, and extending it to allow human in the loop interactive iMFBO workflows for adaptive and domain expert aligned exploration. These approaches are demonstrated over highly non-smooth multi-fidelity simulation data generated from an Ising model, considering spin-spin interaction as parameter space, lattice sizes as fidelity spaces, and the objective as maximizing heat capacity. Detailed analysis and comparison show the impact of physics knowledge injection and on-the-fly human decisions for improved exploration, current challenges, and potential opportunities for algorithm development with combining data, physics and real time human decisions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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