274 citations · 1.8k across the 48 of their papers we have counts for
5 papers · 1 filter
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…
Feature space approximation for kernel-based supervised learning
Patrick Gelß, Stefan Klus, Ingmar Schuster +1
We propose a method for the approximation of high- or even infinite-dimensional feature vectors, which play an important role in supervised learning. The goal is to reduce the size…
GraphKKE: Graph Kernel Koopman Embedding for Human Microbiome Analysis
Kateryna Melnyk, Stefan Klus, Grégoire Montavon +1
More and more diseases have been found to be strongly correlated with disturbances in the microbiome constitution, e.g., obesity, diabetes, or some cancer types. Thanks to modern h…
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…
Kernel Autocovariance Operators of Stationary Processes: Estimation and Convergence
Mattes Mollenhauer, Stefan Klus, Christof Schütte +1
We consider autocovariance operators of a stationary stochastic process on a Polish space that is embedded into a reproducing kernel Hilbert space. We investigate how empirical est…