arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2501.06167cs.LGcs.SYeess.SYmath.OC
收藏

面向物理约束神经系统辨识的元学习

Meta-Learning for Physically-Constrained Neural System Identification

Mitsubishi Electric Research Laboratories(三菱电机研究院)

Ankush Chakrabarty, Gordon Wichern, Vedang M. Deshpande, Abraham P. Vinod, Karl Berntorp, Christopher R. Laughman

AI总结:

提出一种基于梯度的元学习框架,利用多源系统数据快速适配 NSSM,并融合物理约束,在有限目标数据和少量迭代下提升状态估计性能。

摘要:

我们提出了一种基于梯度的元学习框架,用于快速适配神经状态空间模型(NSSM),以进行黑箱系统辨识。在适用情况下,我们还纳入特定领域的物理约束,以提高 NSSM 的准确性。我们方法的主要优势在于,该框架并非仅依赖来自单个目标系统的数据,而是利用来自一组多样化源系统的数据,从而能够在有限目标数据下学习,并且只需很少的在线训练迭代。通过基准示例,我们展示了该方法的潜力,研究了微调子网络而非完全微调的效果,并报告了真实世界案例研究,以说明该方法在具有物理约束的实际问题中的实际应用和泛化能力。具体而言,我们表明,元学习得到的模型在室内定位和能源系统中基于模型的状态估计方面带来了改进的下游性能。

英文摘要:

We present a gradient-based meta-learning framework for rapid adaptation of neural state-space models (NSSMs) for black-box system identification. When applicable, we also incorporate domain-specific physical constraints to improve the accuracy of the NSSM. The major benefit of our approach is that instead of relying solely on data from a single target system, our framework utilizes data from a diverse set of source systems, enabling learning from limited target data, as well as with few online training iterations. Through benchmark examples, we demonstrate the potential of our approach, study the effect of fine-tuning subnetworks rather than full fine-tuning, and report real-world case studies to illustrate the practical application and generalizability of the approach to practical problems with physical-constraints. Specifically, we show that the meta-learned models result in improved downstream performance in model-based state estimation in indoor localization and energy systems.

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。

↑