137 citations · 235 across the 26 of their papers we have counts for
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math.NA2023★ 4 cited
Spectral Barron space for deep neural network approximation
Yulei Liao, Pingbing Ming
We prove the sharp embedding between the spectral Barron space and the Besov space with embedding constants independent of the input dimension. Given the spectral Barron space as t…
math.NA2023
A Deep Learning Method for Computing Eigenvalues of the Fractional Schrödinger Operator
Yixiao Guo, Pingbing Ming
We present a novel deep learning method for computing eigenvalues of the fractional Schrödinger operator. Our approach combines a newly developed loss function with an innovative n…
math.NA2023
A pre-training deep learning method for simulating the large bending deformation of bilayer plates
Xiang Li, Yulei Liao, Pingbing Ming
We propose a deep learning based method for simulating the large bending deformation of bilayer plates. Inspired by the greedy algorithm, we propose a pre-training method on a seri…