Search Results for author: Christos Xenophontos

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Neural Networks for Singular Perturbations

no code implementations12 Jan 2024 Joost A. A. Opschoor, Christoph Schwab, Christos Xenophontos

We prove deep neural network (DNN for short) expressivity rate bounds for solution sets of a model class of singularly perturbed, elliptic two-point boundary value problems, in Sobolev norms, on the bounded interval $(-1, 1)$.

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