activity
20182022
most citedThe global classical solution to compressible Euler system with velocity alignment

2 citations · 2 across the 5 of their papers we have counts for

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9 papers · 1 filter

math.OC2022

Stochastic optimal control for nonlinear damped network dynamics

Simone Göttlich, Thomas Schillinger

We present a stochastic optimal control problem for a tree network. The dynamics of the network are governed by transport equations with a special emphasis on the non-linear dampin…

math.OC2021

Parameter calibration with Consensus-based Optimization for interaction dynamics driven by neural networks

Simone Göttlich, Claudia Totzeck

We calibrate parameters of neural networks that model forces in interaction dynamics with the help of the Consensus-based global optimization method (CBO). We state the general fra…

math.OC2021

Space mapping-based optimization with the macroscopic limit of interacting particle systems

Jennifer Weißen, Simone Göttlich, Claudia Totzeck

We propose a space mapping-based optimization algorithm for microscopic interacting particle dynamics which are inappropriate for direct optimization. This is of relevance for exam…

math.OC2021

Optimal control for interacting particle systems driven by neural networks

Simone Göttlich, Claudia Totzeck

We propose a neural network approach to model general interaction dynamics and an adjoint based stochastic gradient descent algorithm to calibrate its parameters. The parameter cal…

math.OC2020

Input-to-state stability of a scalar conservation law with nonlocal velocity

Simone Göttlich, Michael Herty, Gediyon Weldegiyorgis

In this paper, we study input-to-state stability (ISS) of an equilibrium for a scalar conservation law with nonlocal velocity and measurement error arising in a highly re-entrant m…

math.OC2019

Uncertainty quantification with risk measures in production planning

Simone Göttlich, Stephan Knapp

This paper is concerned with a simulation study for a stochastic production network model, where the capacities of machines may change randomly. We introduce performance measures m…