Search Results for author: Nicolas Couellan

Found 6 papers, 0 papers with code

MIQCQP reformulation of the ReLU neural networks Lipschitz constant estimation problem

no code implementations2 Feb 2024 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.

Canonical foliations of neural networks: application to robustness

no code implementations2 Mar 2022 Eliot Tron, Nicolas Couellan, Stéphane Puechmorel

The result show that the proposed attack is more efficient at all levels of available budget for the attack (norm of the attack), confirming that the curvature of the transverse neural network FIM foliation plays an important role in the robustness of neural networks.

Adversarial Attack

Robust SVM Optimization in Banach spaces

no code implementations17 Feb 2022 Mohammed Sbihi, Nicolas Couellan

We address the issue of binary classification in Banach spaces in presence of uncertainty.

Binary Classification

Convolutional Neural Network for Multipath Detection in GNSS Receivers

no code implementations6 Nov 2019 Evgenii Munin, Antoine Blais, Nicolas Couellan

To take advantage of CNN, the correlator output signal is mapped as a 2D input image and fed to the convolutional layers of a neural network.

Anomaly Detection

The coupling effect of Lipschitz regularization in deep neural networks

no code implementations12 Apr 2019 Nicolas Couellan

We investigate robustness of deep feed-forward neural networks when input data are subject to random uncertainties.

Feature uncertainty bounding schemes for large robust nonlinear SVM classifiers

no code implementations29 Jun 2017 Nicolas Couellan, Sophie Jan

We consider the binary classification problem when data are large and subject to unknown but bounded uncertainties.

Binary Classification General Classification

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