12 citations · 13 across the 4 of their papers we have counts for
11 papers · 1 filter
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…
Targets and Holes
P. Giulietti, P. Koltai, S. Vaienti
We address the extreme value problem of a one-dimensional dynamical system approaching a fixed target while constrained to avoid a fixed set which can be thought of as a small hole…
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.…
Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems
Raphael Gerlach, Péter Koltai, Michael Dellnitz
Embedding techniques allow the approximations of finite dimensional attractors and manifolds of infinite dimensional dynamical systems via subdivision and continuation methods. The…