267 citations · 1.1k across the 40 of their papers we have counts for
3 papers · 2 filters
Data-driven modelling of nonlinear dynamics by barycentric coordinates and memory
Niklas Wulkow, Péter Koltai, Vikram Sunkara +1
We present a numerical method to model dynamical systems from data. We use the recently introduced method Scalable Probabilistic Approximation (SPA) to project points from a Euclid…
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…
Detecting the birth and death of finite-time coherent sets
Gary Froyland, Péter Koltai
Finite-time coherent sets (FTCSs) are distinguished regions of phase space that resist mixing with the surrounding space for some finite period of time; physical manifestations inc…