most citedDeep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for Kolmogorov partial differential equations with Lipschitz nonlinearities in the -sense

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math.DS2025

Modelling car-following dynamics with stochastic input-state-output port-Hamiltonian systems

Julia Ackermann, Matthias Ehrhardt, Thomas Kruse +1

In this contribution, we introduce a general class of car-following models with an input-state-output port-Hamiltonian structure. We derive stability conditions and long-term behav…