A Priori Estimates of the Population Risk for Two-layer Neural Networks

15 October 2018

Chao Ma

Papers citing "A Priori Estimates of the Population Risk for Two-layer Neural Networks"

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Title
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High-dimensional classification problems with Barron regular boundaries under margin conditions Jonathan García Philipp Petersen 74 0 0 10 Dec 2024
Learning with Norm Constrained, Over-parameterized, Two-layer Neural Networks Fanghui Liu L. Dadi V. Cevher 74 2 0 29 Apr 2024
Theoretical Analysis of Inductive Biases in Deep Convolutional Networks Zihao Wang Lei Wu 23 19 0 15 May 2023
Reinforcement Learning with Function Approximation: From Linear to Nonlinear Jihao Long Jiequn Han 19 5 0 20 Feb 2023
Duality for Neural Networks through Reproducing Kernel Banach Spaces L. Spek T. J. Heeringa Felix L. Schwenninger C. Brune 11 13 0 09 Nov 2022
Gradient-enhanced deep neural network approximations Xiaodong Feng Li Zeng UQCV 26 5 0 08 Nov 2022
Approximation of Functionals by Neural Network without Curse of Dimensionality Yahong Yang Yang Xiang 18 6 0 28 May 2022
Qualitative neural network approximation over R and C: Elementary proofs for analytic and polynomial activation Josiah Park Stephan Wojtowytsch 15 1 0 25 Mar 2022
A Note on Machine Learning Approach for Computational Imaging Bin Dong 17 0 0 24 Feb 2022
Overview frequency principle/spectral bias in deep learning Z. Xu Yaoyu Zhang Tao Luo FaML 25 65 0 19 Jan 2022
Deep Nonparametric Estimation of Operators between Infinite Dimensional Spaces Hao Liu Haizhao Yang Minshuo Chen T. Zhao Wenjing Liao 32 36 0 01 Jan 2022
Optimal learning of high-dimensional classification problems using deep neural networks P. Petersen F. Voigtlaender 25 9 0 23 Dec 2021
A brief note on understanding neural networks as Gaussian processes Mengwu Guo BDL GP 19 2 0 25 Jul 2021
Dual Training of Energy-Based Models with Overparametrized Shallow Neural Networks Carles Domingo-Enrich A. Bietti Marylou Gabrié Joan Bruna Eric Vanden-Eijnden FedML 32 6 0 11 Jul 2021
Optimal Approximation Rate of ReLU Networks in terms of Width and Depth Zuowei Shen Haizhao Yang Shijun Zhang 101 115 0 28 Feb 2021
Reproducing Activation Function for Deep Learning Senwei Liang Liyao Lyu Chunmei Wang Haizhao Yang 28 21 0 13 Jan 2021
Machine Learning and Computational Mathematics Weinan E PINN AI4CE 21 61 0 23 Sep 2020
Complexity Measures for Neural Networks with General Activation Functions Using Path-based Norms Zhong Li Chao Ma Lei Wu 18 24 0 14 Sep 2020
Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory Tao Luo Haizhao Yang 21 73 0 28 Jun 2020
Representation formulas and pointwise properties for Barron functions E. Weinan Stephan Wojtowytsch 20 79 0 10 Jun 2020
Enhancing accuracy of deep learning algorithms by training with low-discrepancy sequences Siddhartha Mishra T. Konstantin Rusch 19 49 0 26 May 2020
Can Shallow Neural Networks Beat the Curse of Dimensionality? A mean field training perspective Stephan Wojtowytsch E. Weinan MLT 21 48 0 21 May 2020
Deep Network Approximation for Smooth Functions Jianfeng Lu Zuowei Shen Haizhao Yang Shijun Zhang 43 247 0 09 Jan 2020
A Review on Deep Learning in Medical Image Reconstruction Hai-Miao Zhang Bin Dong MedIm 29 122 0 23 Jun 2019
Deep Network Approximation Characterized by Number of Neurons Zuowei Shen Haizhao Yang Shijun Zhang 18 182 0 13 Jun 2019
Analysis of the Gradient Descent Algorithm for a Deep Neural Network Model with Skip-connections E. Weinan Chao Ma Qingcan Wang Lei Wu MLT 24 22 0 10 Apr 2019
Deep learning observables in computational fluid dynamics K. Lye Siddhartha Mishra Deep Ray OOD AI4CE 13 158 0 07 Mar 2019
$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
Norm-Based Capacity Control in Neural Networks Behnam Neyshabur Ryota Tomioka Nathan Srebro 119 577 0 27 Feb 2015