Search Results for author: Michael Herty

Found 6 papers, 0 papers with code

Data/moment-driven approaches for fast predictive control of collective dynamics

no code implementations23 Feb 2024 Giacomo Albi, Sara Bicego, Michael Herty, YuYang Huang, Dante Kalise, Chiara Segala

The high-dimensional character of collective dynamics hampers the performance of traditional MPC algorithms based on fast online dynamic optimization at every time step.

Model Predictive Control

Mean field limits for discrete-time dynamical systems via kernel mean embeddings

no code implementations11 Dec 2023 Christian Fiedler, Michael Herty, Sebastian Trimpe

Mean field limits are an important tool in the context of large-scale dynamical systems, in particular, when studying multiagent and interacting particle systems.

On kernel-based statistical learning in the mean field limit

no code implementations27 Oct 2023 Christian Fiedler, Michael Herty, Sebastian Trimpe

In many applications of machine learning, a large number of variables are considered.

Learning Theory

Reproducing kernel Hilbert spaces in the mean field limit

no code implementations28 Feb 2023 Christian Fiedler, Michael Herty, Michael Rom, Chiara Segala, Sebastian Trimpe

Kernel methods, being supported by a well-developed theory and coming with efficient algorithms, are among the most popular and successful machine learning techniques.

Stability analysis of a hyperbolic stochastic Galerkin formulation for the Aw-Rascle-Zhang model with relaxation

no code implementations18 Feb 2021 Stephan Gerster, Michael Herty, Elisa Iacomini

We investigate the propagation of uncertainties in the Aw-Rascle-Zhang model, which belongs to a class of second order traffic flow models described by a system of nonlinear hyperbolic equations.

Numerical Analysis Numerical Analysis 35L65, 90B20, 35R60

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