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math.OC2019
General risk measures for robust machine learning
Emilie Chouzenoux, Henri Gérard, Jean-Christophe Pesquet
A wide array of machine learning problems are formulated as the minimization of the expectation of a convex loss function on some parameter space. Since the probability distributio…
math.OC2019
Lipschitz Certificates for Layered Network Structures Driven by Averaged Activation Operators
Patrick L. Combettes, Jean-Christophe Pesquet
Obtaining sharp Lipschitz constants for feed-forward neural networks is essential to assess their robustness in the face of perturbations of their inputs. We derive such constants…