358 citations · 807 across the 21 of their papers we have counts for
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math.OC2019
Approximating the Stationary Bellman Equation by Hierarchical Tensor Products
Mathias Oster, Leon Sallandt, Reinhold Schneider
We treat infinite horizon optimal control problems by solving the associated stationary Hamilton-Jacobi-Bellman (HJB) equation numerically to compute the value function and an opti…
math.NA2019
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs
Gitta Kutyniok, Philipp Petersen, Mones Raslan +1
We derive upper bounds on the complexity of ReLU neural networks approximating the solution maps of parametric partial differential equations. In particular, without any knowledge…