no code implementations • 6 Nov 2024 • Florian Wolf, Nicolò Botteghi, Urban Fasel, Andrea Manzoni
Effectively controlling systems governed by Partial Differential Equations (PDEs) is crucial in several fields of Applied Sciences and Engineering.
2 code implementations • 5 Sep 2024 • Nicolò Botteghi, Urban Fasel
This document contains an educational introduction to the problem of sparsifying parametric models with L0 regularization.
2 code implementations • 22 Mar 2024 • Nicolò Botteghi, Urban Fasel
Optimal control of parametric partial differential equations (PDEs) is crucial in many applications in engineering and science.
1 code implementation • 14 Mar 2024 • Nicholas Zolman, Urban Fasel, J. Nathan Kutz, Steven L. Brunton
Deep reinforcement learning (DRL) has shown significant promise for uncovering sophisticated control policies that interact in environments with complicated dynamics, such as stabilizing the magnetohydrodynamics of a tokamak fusion reactor or minimizing the drag force exerted on an object in a fluid flow.
1 code implementation • 23 Feb 2024 • Lloyd Fung, Urban Fasel, Matthew P. Juniper
We propose a fast probabilistic framework for identifying differential equations governing the dynamics of observed data.
no code implementations • 4 Feb 2023 • Alan A. Kaptanoglu, Lanyue Zhang, Zachary G. Nicolaou, Urban Fasel, Steven L. Brunton
Sparse system identification is the data-driven process of obtaining parsimonious differential equations that describe the evolution of a dynamical system, balancing model complexity and accuracy.
no code implementations • 30 Jan 2023 • L. Mars Gao, Urban Fasel, Steven L. Brunton, J. Nathan Kutz
In the sparse model discovery experiment, we show that the bootstrapping-based sequential thresholding least-squares method can provide valid uncertainty quantification, converging to a delta measure centered around the true value with increased sample sizes.
no code implementations • 20 Sep 2022 • Andrea Tagliabue, Yi-Hsuan Hsiao, Urban Fasel, J. Nathan Kutz, Steven L. Brunton, Yufeng Chen, Jonathan P. How
Accurate and agile trajectory tracking in sub-gram Micro Aerial Vehicles (MAVs) is challenging, as the small scale of the robot induces large model uncertainties, demanding robust feedback controllers, while the fast dynamics and computational constraints prevent the deployment of computationally expensive strategies.
1 code implementation • 12 Nov 2021 • Alan A. Kaptanoglu, Brian M. de Silva, Urban Fasel, Kadierdan Kaheman, Andy J. Goldschmidt, Jared L. Callaham, Charles B. Delahunt, Zachary G. Nicolaou, Kathleen Champion, Jean-Christophe Loiseau, J. Nathan Kutz, Steven L. Brunton
Automated data-driven modeling, the process of directly discovering the governing equations of a system from data, is increasingly being used across the scientific community.
no code implementations • 7 Feb 2021 • Andrea Iannelli, Urban Fasel, Roy S. Smith
The algorithm formulation hinges on the idea of replacing the orthogonal projection onto the Proper Orthogonal Decomposition modes, used in Dynamic Mode Decomposition-based approaches, with a balancing oblique projection constructed entirely from data.
1 code implementation • 8 Feb 2020 • Nicola Fonzi, Steven L. Brunton, Urban Fasel
Accurate and efficient aeroelastic models are critically important for enabling the optimization and control of highly flexible aerospace structures, which are expected to become pervasive in future transportation and energy systems.
Fluid Dynamics Optimization and Control