42 citations · 57 across the 10 of their papers we have counts for
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math.NA2017
New error bounds for deep networks using sparse grids
Hadrien Montanelli, Qiang Du
We prove a theorem concerning the approximation of multivariate functions by deep ReLU networks. We present new error estimates for which the curse of the dimensionality is lessene…
math.NA2017★ 3 cited
Fourth-order time-stepping for stiff PDEs on the sphere
Hadrien Montanelli, Yuji Nakatsukasa
We present in this paper algorithms for solving stiff PDEs on the unit sphere with spectral accuracy in space and fourth-order accuracy in time. These are based on a variant of the…