100 citations · 215 across the 9 of their papers we have counts for
11 papers
Network Measures of Mixing
Ralf Banisch, Péter Koltai, Kathrin Padberg-Gehle
Transport and mixing processes in fluid flows can be studied directly from Lagrangian trajectory data, such as obtained from particle tracking experiments. Recent work in this cont…
MIST: A Simple and Efficient Molecular Dynamics Abstraction Library for Integrator Development
Iain Bethune, Ralf Banisch, Elena Breitmoser +6
We present MIST, the Molecular Integration Simulation Toolkit, a lightweight and efficient software library written in C++ which provides an abstract in- terface to common molecula…
On Hyperparameter Search in Cluster Ensembles
Luzie Helfmann, Johannes von Lindheim, Mattes Mollenhauer +1
Quality assessments of models in unsupervised learning and clustering verification in particular have been a long-standing problem in the machine learning research. The lack of rob…
Data-driven Computation of Molecular Reaction Coordinates
Andreas Bittracher, Ralf Banisch, Christof Schütte
The identification of meaningful reaction coordinates plays a key role in the study of complex molecular systems whose essential dynamics is characterized by rare or slow transitio…
Diffusion maps tailored to arbitrary non-degenerate Ito processes
Ralf Banisch, Zofia Trstanova, Andreas Bittracher +2
We present two generalizations of the popular diffusion maps algorithm. The first generalization replaces the drift term in diffusion maps, which is the gradient of the sampling de…
Transition manifolds of complex metastable systems: Theory and data-driven computation of effective dynamics
Andreas Bittracher, Péter Koltai, Stefan Klus +3
We consider complex dynamical systems showing metastable behavior but no local separation of fast and slow time scales. The article raises the question of whether such systems exhi…
Understanding the geometry of transport: diffusion maps for Lagrangian trajectory data unravel coherent sets
Ralf Banisch, Péter Koltai
Dynamical systems often exhibit the emergence of long-lived coherent sets, which are regions in state space that keep their geometric integrity to a high extent and thus play an im…
Modularity of Directed Networks: Cycle Decomposition Approach
Natasa Djurdjevac Conrad, Ralf Banisch, Christof Schütte
The problem of decomposing networks into modules (or clusters) has gained much attention in recent years, as it can account for a coarse-grained description of complex systems, oft…
Cycle flow based module detection in directed recurrence networks
Ralf Banisch, Nataša Djurdjevac Conrad
We present a new cycle flow based method for finding fuzzy partitions of weighted directed networks coming from time series data. We show that this method overcomes essential probl…
Meshless discretization of LQ-type stochastic control problems
Ralf Banisch, Carsten Hartmann
We propose a novel Galerkin discretization scheme for stochastic optimal control problems on an indefinite time horizon. The control problems are linear-quadratic in the controls,…
The Unruh-deWitt Detector and the Vacuum in the General Boundary formalism
Ralf Banisch, Frank Hellmann, Dennis Raetzel
We discuss how to formulate a condition for choosing the vacuum state of a quantum scalar field on a timelike hyperplane in the general boundary formulation (GBF) using the couplin…