Tobias Wöhrer

Senior Scientist | Seminars coordinator at FAU DCN-AvH

I am a postdoc researcher with research ambitions at the at the intersection of mean-field particle models, control theory and mathematics of machine learning. I am at the Chair for Dynamics, Control and Numerics headed by Enrique Zuazua. Before, I was a postdoc at TU Vienna at the Institute of Analysis and Scientific Computing in the group of Anton Arnold, where I also finished my PhD in 2020. In 2019, I was an invited guest of Prof. Shi Jin at Shanghai Jiao Tong University.

Large-time behaviour of mean-field equations

During my PhD, I focused on obtaining explicit and for application meaningful large-time estimates for mean-field equations by means of spectral theory and entropy methods. I am currently interested in including long-range particle interactions on large networks, which have many fascinating real-world applications, such as synchronisation and opinion formations.

Mathematics of machine learning

The achievements of machine learning algorithms are beyond impressive, but still surprisingly little is understood about why they work so well. The mathematician’s job is now to look behind the curtain and extend the vocabulary to describe what at this point seems like magic. I am currently investigating supervised learning procedures of neural networks and their lack of robustness from an optimal control perspective.

“The writers who embellish a language, who treat it as an object of art, make of it at the same time a more supple instrument, more apt for rendering shades of thought.” -Henri Poincaré

You might like

Approximating the 1D wave equation using Physics Informed Neural Networks (PINNs) Code: • See the complete report by Dania Sana   Introduction Accurate and fast predictions of numerical solutions are of significant interest in many areas of science and industry. On one hand, most theoretical methods […]
Derivation of the pressure function Code: Files to run: nocircle.m, onecircle.m or twocircles.m   1 Introduction This post presents the results of my Bachelor thesis about the modeling and implementation of gas networks at stationary states. Using the isothermal Euler equations to describe the gas flow […]
Author: Daniël Veldman, FAU DCN-AvH Code: A sheep herding game in MATLAB developed for the Long Night of Science #NdW22 (Lange Nacht der Wissenschaft) Erlangen-Furth-Nuernberg 2022. Main rules • The dog should drive sheep to the target (red). • You can steer the dog with the […]
Author: Martín Hernández, FAU DCN-AvH Code: In this repository, we show a code for Lloyd’s algorithm. Also called Voronoid iteration, this is an iterative algorithm finding for equispaced convex cells in euclidean space. Lloyd’s algorithm finds the distribution of the cells computing their center of mass […]
Using the support function for optimal shape design   1 Motivation Led by problems of optimal placement and design of sensors, we are interested in considering the following shape optimization problem where is the Hausdorff distance between and defined as follows with is the distance from […]
Uniform Turnpike Property 1 Introduction In this post, we analyze a heat equation with rapidly oscillating coefficients dependent on a parameter , with a distributed control. We show that the uniform null controllability implies the uniform turnpike property, i.e., the turnpike property with constants independent of […]
Author: Borjan Geshkovski, MIT The interplay of control and Deep Learning By Borjan Geshkovski   It is superfluous to state the impact deep (machine) learning has had on modern technology, as it powers many tools of modern society, ranging from web searches to content filtering on […]
© 2019-2022 FAU DCN-AvH Chair for Dynamics, Control and Numerics - Alexander von Humboldt Professorship at Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany | Imprint | Contact