在混合水库计算中优化数据驱动和基于模型的元素的组合
Dennis Duncan1, Christoph Räth2
1Department of Physics, Ludwig-Maximilians-Universität, Schellingstraße 4, 80799 Munich, Germany.
混合水库计算通过将数据驱动的方法与物理模型相结合来增强复杂系统预测. 输出混合 (OH) 架构提供了卓越的准确性,可解释性和对模型错误的稳定性.
科学领域:
- 复杂系统科学 复杂系统科学
- 机器学习 机器学习
- 计算物理 计算物理
背景情况:
- 混合水库计算将数据驱动的机器学习与物理模型融合在一起,以改善预测.
- 调查不同的混合水库计算架构对于理解它们的预测能力至关重要.
研究的目的:
- 为了比较三种混合储库计算架构的预测性能:输入混合 (IH),输出混合 (OH) 和全混合 (FH).
- 评估这些架构在各种模型准确度的稳定性和可解释性.
主要方法:
- 利用九个3D混乱模型系统和库拉莫托-西瓦辛斯基系统进行测试.
- 评估预测准确性,并分析数据驱动和基于模型的组件的贡献.
主要成果:
- 所有混合方法都通过准确的模型改善了预测,OH和FH的表现优于IH.
- 与IH和FH不同的是,OH证明了对不准确模型的稳定性,与纯粹数据驱动的结果相匹配,不像IH和FH.
- OH允许分离储库和模型贡献,提高预测可解释性.
结论:
- 推输出混合 (OH) 架构用于混合水库计算,因为其准确性,可解释性,稳定性和简单性的平衡.
- OH为理解复杂系统中数据驱动和基于模型的预测之间的相互作用提供了一个有利的框架.
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