167 citations · 426 across the 14 of their papers we have counts for
3 papers · 1 filter
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…
Constraint-Aware Neural Networks for Riemann Problems
Jim Magiera, Deep Ray, Jan S. Hesthaven +1
Neural networks are increasingly used in complex (data-driven) simulations as surrogates or for accelerating the computation of classical surrogates. In many applications physical…
Deep learning observables in computational fluid dynamics
Kjetil O. Lye, Siddhartha Mishra, Deep Ray
Many large scale problems in computational fluid dynamics such as uncertainty quantification, Bayesian inversion, data assimilation and PDE constrained optimization are considered…