STENCIL-NET用于从数据中进行没有方程的预测
Suryanarayana Maddu1,2,3,4,5, Dominik Sturm6,7, Bevan L Cheeseman1,2,3,8
1Faculty of Computer Science, Technische Universität Dresden, Dresden, Germany.
Scientific reports
|August 7, 2023
概括
人工神经网络STENCIL-NET通过学习离散传播器来预测时空动力学,而无需控制方程. 该方法为复杂系统提供稳定,准确和高效的预测.
科学领域:
- 计算物理学的计算物理.
- 机器学习是机器学习.
- 动态系统是动态系统.
背景情况:
- 预测时空动力学往往需要了解潜在的物理定律.
- 现有的数据驱动方法可能会在概括和计算效率方面扎.
研究的目的:
- 介绍STENCIL-NET,一种用于无方程预测的新型人工神经网络架构.
- 展示STENCIL-NET学习离散传播器的能力,以准确地预测时空动力学.
主要方法:
- 开发了STENCIL-NET,这是一种从数据中直接学习离散传播器的架构.
- 验证了模型的稳定性和准确性在正规的笛卡儿网上,类似于经典的数值方法.
- 评估了跨不同动态和网格分辨率的概括能力.
主要成果:
- STENCIL-NET成功地复制了时空动态,而不需要学习管理方程.
- 与CNN和FNO架构相比,该模型具有更高的概括性和计算效率.
- 已证明的应用包括长期预测,混乱动态预测,粗粒度和降噪.
结论:
- STENCIL-NET为复杂动态的无方程预测提供了一个强大而高效的框架.
- 学习离散传播器为各种科学和工程应用提供了一种多功能工具.
- 这种方法通过绕过显式方程发现的需要来推进数据驱动的建模.
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