no code implementations • 2 Aug 2023 • Christian Kuehn, Sara-Viola Kuntz
A class of neural networks that gained particular interest in the last years are neural ordinary differential equations (neural ODEs).
no code implementations • 12 Jun 2023 • Eric Forgoston, Sarah Day, Peter C. de Ruiter, Arjen Doelman, Nienke Hartemink, Alan Hastings, Lia Hemerik, Alexandru Hening, Josef Hofbauer, Sonia Kefi, David A. Kessler, Toni Klauschies, Christian Kuehn, Xiaoxiao Li, John C. Moore, Elly Morrien, Anje-Margriet Neutel, Jelena Pantel, Sebastian J. Schreiber, Leah B. Shaw, Nadav Shnerb, Eric Siero, Laura S. Storch, Michael A. S. Thorne, Ingrid van de Leemput, Ellen van Velzen, Els Weinans
From 08-12 August, 2022, 32 individuals participated in a workshop, Stability and Fluctuations in Complex Ecological Systems, at the Lorentz Center, located in Leiden, The Netherlands.
no code implementations • 15 Mar 2023 • Marius E. Yamakou, Christian Kuehn
Efficient processing and transfer of information in neurons have been linked to noise-induced resonance phenomena such as coherence resonance (CR), and adaptive rules in neural networks have been mostly linked to two prevalent mechanisms: spike-timing-dependent plasticity (STDP) and homeostatic structural plasticity (HSP).
no code implementations • 10 Feb 2021 • Maria Elena Gonzalez Herrero, Christian Kuehn
In the last decades, the interest to understand the connection between brain and body has grown notably.
no code implementations • 14 Jan 2021 • Kerstin Lux, Christian Kuehn
We come up with a methodology to determine the probability of the occurrence of different types of bifurcations (sub- vs super-critical) along a given bifurcation curve based on the probability distribution of the input parameters.
Dynamical Systems Numerical Analysis Numerical Analysis Probability 34F10, 34C20, 37H10, 60H35, 41A58, 65C50
no code implementations • 20 Oct 2020 • Leonhard Horstmeyer, Christian Kuehn, Stefan Thurner
Second, we discover that there exists a relatively simple critical curve in parameter space for the epidemic threshold, which strongly suggests that there is a mutual compensation effect between the two mitigation strategies: as long as social distancing and quarantine measures are both sufficiently strong, large outbreaks are prevented.
no code implementations • 6 Jul 2020 • Marios-Antonios Gkogkas, Christian Kuehn
A cornerstone in this context are Vlasov-Fokker-Planck equations (VFPEs) describing a particle density on a mean-field level.
Dynamical Systems Classical Analysis and ODEs Adaptation and Self-Organizing Systems
no code implementations • 4 Jun 2020 • Christian Kuehn, Alexandra Neamtu, Stefanie Sonner
We investigate the longtime behavior of stochastic partial differential equations (SPDEs) with differential operators that depend on time and the underlying probability space.
Probability 60H15, 37H05, 37L55
no code implementations • 25 Apr 2018 • Boumediene Hamzi, Christian Kuehn, Sameh Mohamed
We study the maximum mean discrepancy (MMD) in the context of critical transitions modelled by fast-slow stochastic dynamical systems.
