Search Results for author: Pierre-Jean Meyer

Found 3 papers, 2 papers with code

Reachability Analysis of Neural Networks with Uncertain Parameters

no code implementations14 Mar 2023 Pierre-Jean Meyer

The literature on reachability analysis methods for neural networks currently only focuses on uncertainties on the network's inputs.

Reachability analysis of neural networks using mixed monotonicity

1 code implementation15 Nov 2021 Pierre-Jean Meyer

Unlike other tools in the literature focusing on small classes of piecewise-affine or monotone activation functions, the main strength of our approach is its generality: it can handle neural networks with any Lipschitz-continuous activation function.

Interval Reachability Analysis using Second-Order Sensitivity

1 code implementation21 Nov 2019 Pierre-Jean Meyer, Murat Arcak

Then we exploit these bounds and the evaluation of the first-order sensitivity matrices at a few sampled initial states to obtain an over-approximation of the first-order sensitivity, which is in turn used to over-approximate the reachable set of the initial system.

Cannot find the paper you are looking for? You can Submit a new open access paper.