most citedOn the Omnipresence of Spurious Local Minima in Certain Neural Network Training Problems

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math.OC2023

On the Identification and Optimization of Nonsmooth Superposition Operators in Semilinear Elliptic PDEs

Constantin Christof, Julia Kowalczyk

We study an infinite-dimensional optimization problem that aims to identify the Nemytskii operator in the nonlinear part of a prototypical semilinear elliptic partial differential…