Data-driven and tensor-based analysis of multiscale systems (B06*)

这个项目的主要焦点是开发数据驱动和基于张量的方法，用于从模拟或测量数据近似高维系统的控制方程或相关的转移算子。我们将特别考虑基于核的方法和低阶张量分解，并将这些方法应用于复杂的分子动力学和流体动力学问题。目标是识别快速和慢速时间尺度以及简化的模型。

The main focus of this project is the development of data-driven and tensor-based methods for the approximation of the governing equations of high-dimensional systems or associated transfer operators from simulation or measurement data. We will, in particular, consider kernel-based approaches and low-rank tensor decompositions and apply these methods to complex molecular dynamics and fluid dynamics problems. The goal is to identify fast and slow time scales as well as reduced models.