Search Results for author: Christian Fiedler

Found 10 papers, 2 papers with code

On Safety in Safe Bayesian Optimization

no code implementations19 Mar 2024 Christian Fiedler, Johanna Menn, Lukas Kreisköther, Sebastian Trimpe

To overcome this challenge, we introduce the Lipschitz-only Safe Bayesian Optimization (LoSBO) algorithm, which guarantees safety without an assumption on the RKHS bound, and empirically show that this algorithm is not only safe, but also exhibits superior performance compared to the state-of-the-art on several function classes.

Bayesian Optimization

Automatic nonlinear MPC approximation with closed-loop guarantees

1 code implementation15 Dec 2023 Abdullah Tokmak, Christian Fiedler, Melanie N. Zeilinger, Sebastian Trimpe, Johannes Köhler

We address this problem by presenting a novel algorithm that automatically computes an explicit approximation to nonlinear MPC schemes while retaining closed-loop guarantees.

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.

Lipschitz and Hölder Continuity in Reproducing Kernel Hilbert Spaces

no code implementations27 Oct 2023 Christian Fiedler

Reproducing kernel Hilbert spaces (RKHSs) are very important function spaces, playing an important role in machine learning, statistics, numerical analysis and pure mathematics.

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.

Learning-enhanced robust controller synthesis with rigorous statistical and control-theoretic guarantees

no code implementations7 May 2021 Christian Fiedler, Carsten W. Scherer, Sebastian Trimpe

The combination of machine learning with control offers many opportunities, in particular for robust control.

Practical and Rigorous Uncertainty Bounds for Gaussian Process Regression

1 code implementation6 May 2021 Christian Fiedler, Carsten W. Scherer, Sebastian Trimpe

However, these estimates are of a Bayesian nature, whereas for some important applications, like learning-based control with safety guarantees, frequentist uncertainty bounds are required.

Gaussian Processes regression

Stable Recovery of Entangled Weights: Towards Robust Identification of Deep Neural Networks from Minimal Samples

no code implementations18 Jan 2021 Christian Fiedler, Massimo Fornasier, Timo Klock, Michael Rauchensteiner

In this paper we approach the problem of unique and stable identifiability of generic deep artificial neural networks with pyramidal shape and smooth activation functions from a finite number of input-output samples.

A Kernel Two-sample Test for Dynamical Systems

no code implementations23 Apr 2020 Friedrich Solowjow, Dominik Baumann, Christian Fiedler, Andreas Jocham, Thomas Seel, Sebastian Trimpe

Evaluating whether data streams are drawn from the same distribution is at the heart of various machine learning problems.

Anomaly Detection Feature Engineering +1

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