3 papers
cs.LG2026
Neural networks for spectral optimization
Alexis de Villeroché, Beniamin Bogosel, Stéphane Breuils +2
Given a functional dependent on the spectrum of a differential operator, we address the problem of finding a domain which optimizes this functional. PDE solvers might be used to ta…
math.NA2026
Computer-assisted local maximality of regular polygons for torsional rigidity
Beniamin Bogosel
We study torsional rigidity as a function of the labeled vertices of a convex polygon. Starting from the distributed second shape derivative, we derive the Hessian with respect to…
math.OC2026
Dangling points in area-minimizing Meissner polyhedra
Beniamin Bogosel
Meissner polyhedra are constant-width bodies obtained from extremal finite sets of unit diameter. Such a generating set may contain dangling points, namely points having exactly tw…