J. Opschoor

activity

20202024

most citedExponential ReLU Neural Network Approximation Rates for Point and Edge Singularities

20 citations · 40 across the 5 of their papers we have counts for

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2 papers · 1 filter

math.NA2024★ 2 cited

First Order System Least Squares Neural Networks

Joost A. A. Opschoor, Philipp C. Petersen, Christoph Schwab

We introduce a conceptual framework for numerically solving linear elliptic, parabolic, and hyperbolic PDEs on bounded, polytopal domains in euclidean spaces by deep neural network…

math.NA2024★ 3 cited

Exponential Expressivity of ReLU $^{k}$ Neural Networks on Gevrey Classes with Point Singularities

Joost A. A. Opschoor, Christoph Schwab

We analyze deep Neural Network emulation rates of smooth functions with point singularities in bounded, polytopal domains $D \subset R^{d}$ , $d = 2, 3$ . We prove expon…

First Order System Least Squares Neural Networks

Exponential Expressivity of ReLUk Neural Networks on Gevrey Classes with Point Singularities

Exponential Expressivity of ReLU $^{k}$ Neural Networks on Gevrey Classes with Point Singularities