54 citations · 312 across the 36 of their papers we have counts for
6 papers · 1 filter
Solving N-player dynamic routing games with congestion: a mean field approach
Theophile Cabannes, Mathieu Lauriere, Julien Perolat +7
The recent emergence of navigational tools has changed traffic patterns and has now enabled new types of congestion-aware routing control like dynamic road pricing. Using the funda…
Neural Networks with Physics-Informed Architectures and Constraints for Dynamical Systems Modeling
Franck Djeumou, Cyrus Neary, Eric Goubault +2
Effective inclusion of physics-based knowledge into deep neural network models of dynamical systems can greatly improve data efficiency and generalization. Such a-priori knowledge…
Static analysis of ReLU neural networks with tropical polyhedra
Eric Goubault, Sébastien Palumby, Sylvie Putot +2
This paper studies the problem of range analysis for feedforward neural networks, which is a basic primitive for applications such as robustness of neural networks, compliance to s…
Neural Network Based Model Predictive Control for an Autonomous Vehicle
Maria Luiza Costa Vianna, Eric Goubault, Sylvie Putot
We study learning based controllers as a replacement for model predictive controllers (MPC) for the control of autonomous vehicles. We concentrate for the experiments on the simple…
Reinforcement Learning with Formal Performance Metrics for Quadcopter Attitude Control under Non-nominal Contexts
Nicola Bernini, Mikhail Bessa, Rémi Delmas +5
We explore the reinforcement learning approach to designing controllers by extensively discussing the case of a quadcopter attitude controller. We provide all details allowing to r…
Tractable higher-order under-approximating AE extensions for non-linear systems
Eric Goubault, Sylvie Putot
We consider the problem of under and over-approximating the image of general vector-valued functions over bounded sets, and apply the proposed solution to the estimation of reachab…