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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…
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…