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Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs
T. De Ryck, S. Mishra, Y. Shang +1
We present approximation results and numerical experiments for the use of randomized neural networks within physics-informed extreme learning machines to efficiently solve high-dim…
math.NA2019
On the approximation of rough functions with deep neural networks
Tim De Ryck, Siddhartha Mishra, Deep Ray
Deep neural networks and the ENO procedure are both efficient frameworks for approximating rough functions. We prove that at any order, the ENO interpolation procedure can be cast…