34 citations · 113 across the 7 of their papers we have counts for
8 papers
Partial mean-field model for neurotransmission dynamics
Alberto Montefusco, Luzie Helfmann, Toluwani Okunola +2
This article addresses reaction networks in which spatial and stochastic effects are of crucial importance. For such systems, particle-based models allow us to describe all microsc…
Modelling opinion dynamics under the impact of influencer and media strategies
Luzie Helfmann, Nataša Djurdjevac Conrad, Philipp Lorenz-Spreen +1
Digital communication has made the public discourse considerably more complex, and new actors and strategies have emerged as a result of this seismic shift. Aside from the often-st…
Sampling--Dependent Transition Paths of Iceland-Scotland Overflow Water
F. J. Beron-Vera, M. J. Olascoaga, L. Helfmann +1
In this note, we apply Transition Path Theory (TPT) from Markov chains to shed light on the problem of Iceland-Scotland Overflow Water (ISOW) equatorward export. A recent analysis…
Statistical Analysis of Tipping Pathways in Agent-Based Models
Luzie Helfmann, Jobst Heitzig, Péter Koltai +2
Agent-based models are a natural choice for modeling complex social systems. In such models simple stochastic interaction rules for a large population of individuals can lead to em…
Transition paths of marine debris and the stability of the garbage patches
P. Miron, F. J. Beron-Vera, L. Helfmann +1
We used transition path theory (TPT) to infer "reactive" pathways of floating marine debris trajectories. The TPT analysis was applied on a pollution-aware time-homogeneous Markov…
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…
From interacting agents to density-based modeling with stochastic PDEs
Luzie Helfmann, Natasa Djurdjevac Conrad, Ana Djurdjevac +2
Many real-world processes can naturally be modeled as systems of interacting agents. However, the long-term simulation of such agent-based models is often intractable when the syst…
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…