Search Results for author: Alexandre Capone

Found 11 papers, 1 papers with code

Safe Online Dynamics Learning with Initially Unknown Models and Infeasible Safety Certificates

no code implementations3 Nov 2023 Alexandre Capone, Ryan Cosner, Aaron Ames, Sandra Hirche

Our approach requires no prior model and corresponds, to the best of our knowledge, to the first algorithm that guarantees safety in settings with occasionally infeasible safety certificates without requiring a backup non-learning-based controller.

Bayesian Optimization

Structure-Preserving Learning Using Gaussian Processes and Variational Integrators

no code implementations10 Dec 2021 Jan Brüdigam, Martin Schuck, Alexandre Capone, Stefan Sosnowski, Sandra Hirche

When using Gaussian process regression to learn unknown systems, a commonly considered approach consists of learning the residual dynamics after applying some generic discretization technique, which might however disregard properties of the underlying physical system.

Gaussian Processes regression

Gaussian Process Uniform Error Bounds with Unknown Hyperparameters for Safety-Critical Applications

1 code implementation6 Sep 2021 Alexandre Capone, Armin Lederer, Sandra Hirche

Our approach computes a confidence region in the space of hyperparameters, which enables us to obtain a probabilistic upper bound for the model error of a Gaussian process with arbitrary hyperparameters.

Gaussian Processes

The Impact of Data on the Stability of Learning-Based Control- Extended Version

no code implementations20 Nov 2020 Armin Lederer, Alexandre Capone, Thomas Beckers, Jonas Umlauft, Sandra Hirche

In this paper, we propose a Lyapunov-based measure for quantifying the impact of data on the certifiable control performance.

Gaussian Processes

Anticipating the Long-Term Effect of Online Learning in Control

no code implementations24 Jul 2020 Alexandre Capone, Sandra Hirche

Control schemes that learn using measurement data collected online are increasingly promising for the control of complex and uncertain systems.

Parameter Optimization for Learning-based Control of Control-Affine Systems

no code implementations L4DC 2020 Armin Lederer, Alexandre Capone, Sandra Hirche

By relaxing the problem through scenario optimization we derive a provably optimal method for control parameter tuning.

regression

Smart Forgetting for Safe Online Learning with Gaussian Processes

no code implementations L4DC 2020 Jonas Umlauft, Thomas Beckers, Alexandre Capone, Armin Lederer, Sandra Hirche

The identification of unknown dynamical systems using supervised learning enables model-based control of systems that cannot be modeled based on first principles.

Computational Efficiency Gaussian Processes

How Training Data Impacts Performance in Learning-based Control

no code implementations25 May 2020 Armin Lederer, Alexandre Capone, Jonas Umlauft, Sandra Hirche

When first principle models cannot be derived due to the complexity of the real system, data-driven methods allow us to build models from system observations.

Localized active learning of Gaussian process state space models

no code implementations L4DC 2020 Alexandre Capone, Jonas Umlauft, Thomas Beckers, Armin Lederer, Sandra Hirche

We apply the proposed method to explore the state space of various dynamical systems and compare our approach to a commonly used entropy-based exploration strategy.

Active Learning Model Predictive Control

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