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math.DG2022
From Dual Connections to Almost Contact Structures
E. Gnandi, S. Puechmorel
A dualistic structure on a smooth Riemaniann manifold is a triple with a Riemaniann metric and an affine connection, generally assumed to be torsion…
stat.ML2022
Adversarial attacks on neural networks through canonical Riemannian foliations
Eliot Tron, Nicolas Couellan, Stéphane Puechmorel
Deep learning models are known to be vulnerable to adversarial attacks. Adversarial learning is therefore becoming a crucial task. We propose a new vision on neural network robustn…