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math.FA2025
Nonlocal perimeters and variations: Extremality and decomposability for finite and infinite horizons
Marcello Carioni, Leonardo Del Grande, José A. Iglesias +1
We analyze the extremality and decomposability properties with respect to two types of nonlocal perimeters available in the literature, the Gagliardo perimeter based on the eponymo…
math.FA2024
A Lipschitz spaces view of infinitely wide shallow neural networks
Francesca Bartolucci, Marcello Carioni, José A. Iglesias +3
We revisit the mean field parametrization of shallow neural networks, using signed measures on unbounded parameter spaces and duality pairings that take into account the regularity…