$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

26 July 2016

Papers citing "Approximation by Combinations of ReLU and Squared ReLU Ridge Functions with $ \ell^1 $ and $ \ell^0 $ Controls"

30 / 30 papers shown

Title
Approximation Rate of the Transformer Architecture for Sequence Modeling Hao Jiang Qianxiao Li 48 9 0 03 Jan 2025
Golden Ratio-Based Sufficient Dimension Reduction Wenjing Yang Yuhong Yang 28 0 0 25 Oct 2024
On the expressiveness and spectral bias of KANs Yixuan Wang Jonathan W. Siegel Ziming Liu Thomas Y. Hou 37 9 0 02 Oct 2024
Learning with Norm Constrained, Over-parameterized, Two-layer Neural Networks Fanghui Liu L. Dadi V. Cevher 74 2 0 29 Apr 2024
Early Directional Convergence in Deep Homogeneous Neural Networks for Small Initializations Akshay Kumar Jarvis D. Haupt ODL 44 3 0 12 Mar 2024
Expressivity and Approximation Properties of Deep Neural Networks with ReLU $^k$ Activation Juncai He Tong Mao Jinchao Xu 34 3 0 27 Dec 2023
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks Jonathan W. Siegel 43 7 0 28 Jul 2023
Rates of Approximation by ReLU Shallow Neural Networks Tong Mao Ding-Xuan Zhou 21 19 0 24 Jul 2023
Approximation of Nonlinear Functionals Using Deep ReLU Networks Linhao Song Jun Fan Dirong Chen Ding-Xuan Zhou 13 14 0 10 Apr 2023
Convolutional neural networks for valid and efficient causal inference Mohammad Ghasempour Niloofar Moosavi X. de Luna CML 35 2 0 27 Jan 2023
Approximation analysis of CNNs from a feature extraction view Jianfei Li Han Feng Ding-Xuan Zhou 24 3 0 14 Oct 2022
Approximation results for Gradient Descent trained Shallow Neural Networks in $1d$ R. Gentile G. Welper ODL 46 6 0 17 Sep 2022
Approximation of Functionals by Neural Network without Curse of Dimensionality Yahong Yang Yang Xiang 21 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
Bayesian Deep Learning with Multilevel Trace-class Neural Networks Neil K. Chada Ajay Jasra K. Law Sumeetpal S. Singh BDL UQCV 80 3 0 24 Mar 2022
Optimal learning of high-dimensional classification problems using deep neural networks P. Petersen F. Voigtlaender 25 10 0 23 Dec 2021
Tighter Sparse Approximation Bounds for ReLU Neural Networks Carles Domingo-Enrich Youssef Mroueh 91 4 0 07 Oct 2021
Near-Minimax Optimal Estimation With Shallow ReLU Neural Networks Rahul Parhi Robert D. Nowak 48 38 0 18 Sep 2021
Theory of Deep Convolutional Neural Networks III: Approximating Radial Functions Tong Mao Zhongjie Shi Ding-Xuan Zhou 10 33 0 02 Jul 2021
Optimal Convergence Rates for the Orthogonal Greedy Algorithm Jonathan W. Siegel Jinchao Xu 13 18 0 28 Jun 2021
On the Representation of Solutions to Elliptic PDEs in Barron Spaces Ziang Chen Jianfeng Lu Yulong Lu 25 26 0 14 Jun 2021
ReLU Deep Neural Networks from the Hierarchical Basis Perspective Juncai He Lin Li Jinchao Xu AI4CE 20 30 0 10 May 2021
A Priori Generalization Error Analysis of Two-Layer Neural Networks for Solving High Dimensional Schrödinger Eigenvalue Problems Jianfeng Lu Yulong Lu 31 29 0 04 May 2021
A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Equations Jianfeng Lu Yulong Lu Min Wang 23 37 0 05 Jan 2021
Causal Inference of General Treatment Effects using Neural Networks with A Diverging Number of Confounders Xiaohong Chen Y. Liu Shujie Ma Zheng-Zhong Zhang CML 15 11 0 15 Sep 2020
Representation formulas and pointwise properties for Barron functions E. Weinan Stephan Wojtowytsch 20 79 0 10 Jun 2020
Approximation Bounds for Random Neural Networks and Reservoir Systems Lukas Gonon Lyudmila Grigoryeva Juan-Pablo Ortega 14 64 0 14 Feb 2020
Super-resolution meets machine learning: approximation of measures H. Mhaskar SupR 6 4 0 10 Jul 2019
A Priori Estimates of the Population Risk for Two-layer Neural Networks Weinan E Chao Ma Lei Wu 27 130 0 15 Oct 2018
Approximation and Estimation for High-Dimensional Deep Learning Networks Andrew R. Barron Jason M. Klusowski 19 59 0 10 Sep 2018