274 citations · 1.8k across the 48 of their papers we have counts for
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math.DS2020★ 12 cited
Data-driven model reduction of agent-based systems using the Koopman generator
Jan-Hendrik Niemann, Stefan Klus, Christof Schütte
The dynamical behavior of social systems can be described by agent-based models. Although single agents follow easily explainable rules, complex time-evolving patterns emerge due t…
math.DS2020★ 67 cited
Kernel-based approximation of the Koopman generator and Schrödinger operator
Stefan Klus, Feliks Nüske, Boumediene Hamzi
Many dimensionality and model reduction techniques rely on estimating dominant eigenfunctions of associated dynamical operators from data. Important examples include the Koopman op…