Alberto Gonzalez-Sanz — accepted AI-conference papers

2023

Gaussian Processes on Distributions based on Regularized Optimal Transport

François Bachoc, Louis Béthune, Alberto Gonzalez-Sanz, Jean-Michel Loubes

AISTATS 2023poster

We present a novel kernel over the space of probability measures based on the dual formulation of optimal regularized transport. We propose an Hilbertian embedding of the space of probabilities using their Sinkhorn potentials, which are solutions of the dual entropic relaxed optimal transport betwee…

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2021

Achieving Robustness in Classification Using Optimal Transport With Hinge Regularization

Mathieu Serrurier, Franck Mamalet, Alberto Gonzalez-Sanz, Thibaut Boissin, Jean-Michel Loubes, Eustasio del Barrio

CVPR 2021poster

Adversarial examples have pointed out Deep Neural Network's vulnerability to small local noise. It has been shown that constraining their Lipschitz constant should enhance robustness, but make them harder to learn with classical loss functions. We propose a new framework for binary classification, b…

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