Approximation of Functionals by Neural Network without Curse of Dimensionality

28 May 2022

Papers citing "Approximation of Functionals by Neural Network without Curse of Dimensionality"

7 / 7 papers shown

Title
Learn Sharp Interface Solution by Homotopy Dynamics Chuqi Chen Yahong Yang Yang Xiang Wenrui Hao ODL 57 1 0 01 Feb 2025
Newton Informed Neural Operator for Computing Multiple Solutions of Nonlinear Partials Differential Equations Wenrui Hao Xinliang Liu Yahong Yang 25 4 0 23 May 2024
Deeper or Wider: A Perspective from Optimal Generalization Error with Sobolev Loss Yahong Yang Juncai He AI4CE 26 7 0 31 Jan 2024
Optimal Deep Neural Network Approximation for Korobov Functions with respect to Sobolev Norms Yahong Yang Yulong Lu 34 3 0 08 Nov 2023
Energy stable neural network for gradient flow equations Gang-Han Fan Tianyu Jin Yuan Lan Yang Xiang Luchan Zhang 18 0 0 17 Sep 2023
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 205 2,282 0 18 Oct 2020
$Approximation by Combinations of ReLU and Squared ReLU Ridge Functions with $ \ell^1 $ and $ \ell^0 $ Controls$ Approximation by Combinations of ReLU and Squared ReLU Ridge Functions with $\ell^1$ and $\ell^0$ Controls Jason M. Klusowski Andrew R. Barron 124 142 0 26 Jul 2016