8 citations · 13 across the 3 of their papers we have counts for
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cs.LG2022★ 8 cited
Variable-Input Deep Operator Networks
Michael Prasthofer, Tim De Ryck, Siddhartha Mishra
Existing architectures for operator learning require that the number and locations of sensors (where the input functions are evaluated) remain the same across all training and test…
math.NA2022★ 3 cited
Error estimates for physics informed neural networks approximating the Navier-Stokes equations
Tim De Ryck, Ameya D. Jagtap, Siddhartha Mishra
We prove rigorous bounds on the errors resulting from the approximation of the incompressible Navier-Stokes equations with (extended) physics informed neural networks. We show that…