28 citations · 38 across the 5 of their papers we have counts for
5 papers · 1 filter
Mathematical modeling of spatio-temporal population dynamics and application to epidemic spreading
Stefanie Winkelmann, Johannes Zonker, Christof Schütte +1
Agent based models (ABMs) are a useful tool for modeling spatio-temporal population dynamics, where many details can be included in the model description. Their computational cost…
Optimal Reaction Coordinates: Variational Characterization and Sparse Computation
Andreas Bittracher, Mattes Mollenhauer, Péter Koltai +1
Reaction Coordinates (RCs) are indicators of hidden, low-dimensional mechanisms that govern the long-term behavior of high-dimensional stochastic processes. We present a novel and…
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…
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…
Dimensionality Reduction of Complex Metastable Systems via Kernel Embeddings of Transition Manifolds
Andreas Bittracher, Stefan Klus, Boumediene Hamzi +2
We present a novel kernel-based machine learning algorithm for identifying the low-dimensional geometry of the effective dynamics of high-dimensional multiscale stochastic systems.…