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math.OC2026
Parametrizing Convex Sets Using Sublinear Neural Networks
Eloi Martinet
We propose a neural parameterization of convex sets by learning sublinear (positively homogeneous and convex) functions. Our networks implicitly represent both the support and gaug…
math.OC2026
Numerical exploration of the range of shape functionals using neural networks
Eloi Martinet, Ilias Ftouhi
We introduce a novel numerical framework for the exploration of Blaschke--Santaló diagrams, which are efficient tools characterizing the possible inequalities relating some given s…