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math.NA2021
Connections between Numerical Algorithms for PDEs and Neural Networks
Tobias Alt, Karl Schrader, Matthias Augustin +2
We investigate numerous structural connections between numerical algorithms for partial differential equations (PDEs) and neural architectures. Our goal is to transfer the rich set…
math.NA2021
Translating Numerical Concepts for PDEs into Neural Architectures
Tobias Alt, Pascal Peter, Joachim Weickert +1
We investigate what can be learned from translating numerical algorithms into neural networks. On the numerical side, we consider explicit, accelerated explicit, and implicit schem…