Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities

Carlo Marcati, Joost A. A. Opschoor, Philipp C. Petersen +1

We prove exponential expressivity with stable ReLU Neural Networks (ReLU NNs) in $H^1(\Omega )$ for weighted analytic function classes in certain polytopal domains $\Omega$, in space dimensio…