267 citations · 1.1k across the 40 of their papers we have counts for
5 papers · 1 filter
Nonparametric approximation of conditional expectation operators
Mattes Mollenhauer, Péter Koltai
Given the joint distribution of two random variables on some second countable locally compact Hausdorff space, we investigate the statistical approximation of the -opera…
Transfer Operators from Optimal Transport Plans for Coherent Set Detection
Péter Koltai, Johannes von Lindheim, Sebastian Neumayer +1
The topic of this study lies in the intersection of two fields. One is related with analyzing transport phenomena in complicated flows.For this purpose, we use so-called coherent s…
Memory-based reduced modelling and data-based estimation of opinion spreading
Niklas Wulkow, Péter Koltai, Christof Schütte
We investigate opinion dynamics based on an agent-based model, and are interested in predicting the evolution of the percentages of the entire agent population that share an opinio…
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…
Extending Transition Path Theory: Periodically-Driven and Finite-Time Dynamics
Luzie Helfmann, Enric Ribera Borrell, Christof Schütte +1
Given two distinct subsets in the state space of some dynamical system, Transition Path Theory (TPT) was successfully used to describe the statistical behavior of transitions…