arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2108.05940cs.LG
收藏

ST-PCNN:时空物理耦合的神经网络动力学预测

ST-PCNN: Spatio-Temporal Physics-Coupled Neural Networks for Dynamics Forecasting

Florida Atlantic University(佛罗里达大西洋大学);Harbor Branch Oceanographic Institute, Florida Atlantic University(佛罗里达大西洋大学港口分支海洋研究所);Georgia Institute of Technology(佐治亚理工学院);Washington University School of Medicine(华盛顿大学医学院)

Yu Huang, James Li, Min Shi, Hanqi Zhuang, Xingquan Zhu, Laurent Chérubin, James VanZwieten, Yufei Tang

摘要:

海流、流体力学和其他许多时空物理动力学系统是宇宙的基本组成部分。这种系统的一个关键特征是,某些物理定律--以常微分方程/偏微分方程(ODE/PDE)表示--在很大程度上主导了整个过程,而与时间或地点无关。物理知情学习最近出现了学习物理以进行准确预测,但它们通常缺乏利用局部空间和时间相关性或依赖硬编码物理参数的机制。在本文中,我们提倡一个物理耦合的神经网络模型来学习控制系统的物理参数,并进一步耦合学习的物理,以协助学习循环动力学。提出了一种时空物理耦合神经网络(ST-PCNN)模型,该模型实现了三个目标:(1)学习底层物理参数,(2)时空区域间局部信息的传递,(3)预测动力系统的未来值。物理耦合学习确保所提出的模型可以通过使用学习的物理参数来极大地改进,并且可以实现良好的长期预测(例如,超过30步)。使用模拟和现场收集的海流数据进行实验,验证了ST-PCNN优于现有的物理模型。

英文摘要:

Ocean current, fluid mechanics, and many other spatio-temporal physical dynamical systems are essential components of the universe. One key characteristic of such systems is that certain physics laws -- represented as ordinary/partial differential equations (ODEs/PDEs) -- largely dominate the whole process, irrespective of time or location. Physics-informed learning has recently emerged to learn physics for accurate prediction, but they often lack a mechanism to leverage localized spatial and temporal correlation or rely on hard-coded physics parameters. In this paper, we advocate a physics-coupled neural network model to learn parameters governing the physics of the system, and further couple the learned physics to assist the learning of recurring dynamics. A spatio-temporal physics-coupled neural network (ST-PCNN) model is proposed to achieve three goals: (1) learning the underlying physics parameters, (2) transition of local information between spatio-temporal regions, and (3) forecasting future values for the dynamical system. The physics-coupled learning ensures that the proposed model can be tremendously improved by using learned physics parameters, and can achieve good long-range forecasting (e.g., more than 30-steps). Experiments, using simulated and field-collected ocean current data, validate that ST-PCNN outperforms existing physics-informed models.

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。

↑