6 citations · 6 across the 5 of their papers we have counts for
6 papers
MIQCQP reformulation of the ReLU neural networks Lipschitz constant estimation problem
Mohammed Sbihi, Sophie Jan, Nicolas Couellan
It is well established that to ensure or certify the robustness of a neural network, its Lipschitz constant plays a prominent role. However, its calculation is NP-hard. In this not…
Robust SVM Optimization in Banach spaces
Mohammed Sbihi, Nicolas Couellan
We address the issue of binary classification in Banach spaces in presence of uncertainty. We show that a number of results from classical support vector machines theory can be app…
A statistical approach for robust tolerance design
Ambre Diet, Nicolas Couellan, Xavier Gendre +1
Within an industrial manufacturing process, tolerancing is a key player. The dimensions uncertainties management starts during the design phase, with an assessment on variability o…
Convolutional Neural Network for Multipath Detection in GNSS Receivers
Evgenii Munin, Antoine Blais, Nicolas Couellan
Global Navigation Satellite System (GNSS) signals are subject to different kinds of events causing significant errors in positioning. This work explores the application of Machine…
The coupling effect of Lipschitz regularization in deep neural networks
Nicolas Couellan
We investigate robustness of deep feed-forward neural networks when input data are subject to random uncertainties. More specifically, we consider regularization of the network by…
Feature uncertainty bounding schemes for large robust nonlinear SVM classifiers
Nicolas Couellan, Sophie Jan
We consider the binary classification problem when data are large and subject to unknown but bounded uncertainties. We address the problem by formulating the nonlinear support vect…