1 code implementation • 26 Jan 2024 • Antoine Aspeel, Necmiye Ozay
This paper introduces a simulation preorder among lifted systems, a generalization of finite-dimensional Koopman approximations (also known as approximate immersions) to systems with inputs.
1 code implementation • 15 Nov 2023 • Antoine Aspeel, Jakob Nylof, Jing Shuang Li, Necmiye Ozay
In this work, we are interested in designing a controller that can be implemented with a minimum number of sensor-to-actuator messages, while satisfying safety constraints over a finite horizon.
1 code implementation • 12 Jun 2023 • Haldun Balim, Antoine Aspeel, Zexiang Liu, Necmiye Ozay
Koopman liftings have been successfully used to learn high dimensional linear approximations for autonomous systems for prediction purposes, or for control systems for leveraging linear control techniques to control nonlinear dynamics.
1 code implementation • 13 Apr 2022 • Antoine Aspeel, Amaury Gouverneur, Raphaël M. Jungers, Benoit Macq
We prove that in terms of expected mean square error, the stochastic program filter outperforms the online filter, which itself outperforms the offline filter.
1 code implementation • 20 Nov 2017 • Michaël Fanuel, Antoine Aspeel, Jean-Charles Delvenne, Johan A. K. Suykens
In machine learning or statistics, it is often desirable to reduce the dimensionality of a sample of data points in a high dimensional space $\mathbb{R}^d$.