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Optimal approximation of continuous functions by very deep ReLU networks

10 February 2018

Papers citing "Optimal approximation of continuous functions by very deep ReLU networks"

38 / 188 papers shown

Title
Deep Network Approximation for Smooth Functions Jianfeng Lu Zuowei Shen Haizhao Yang Shijun Zhang 149 248 0 09 Jan 2020
Neural Contextual Bandits with UCB-based Exploration Dongruo Zhou Lihong Li Quanquan Gu 135 15 0 11 Nov 2019
Growing axons: greedy learning of neural networks with application to function approximation Daria Fokina Ivan Oseledets 83 18 0 28 Oct 2019
Stochastic Feedforward Neural Networks: Universal Approximation Thomas Merkh Guido Montúfar 45 8 0 22 Oct 2019
On the space-time expressivity of ResNets J. Muller AI4TS 23 4 0 21 Oct 2019
A Constructive Prediction of the Generalization Error Across Scales Jonathan S. Rosenfeld Amir Rosenfeld Yonatan Belinkov Nir Shavit 113 215 0 27 Sep 2019
Classification Logit Two-sample Testing by Neural Networks Xiuyuan Cheng A. Cloninger 89 33 0 25 Sep 2019
Optimal Function Approximation with Relu Neural Networks Bo Liu Yi Liang 57 33 0 09 Sep 2019
On the rate of convergence of fully connected very deep neural network regression estimates Michael Kohler S. Langer 155 40 0 29 Aug 2019
Dimension independent bounds for general shallow networks H. Mhaskar 116 22 0 26 Aug 2019
Deep ReLU network approximation of functions on a manifold Johannes Schmidt-Hieber 108 95 0 02 Aug 2019
Adaptive Approximation and Generalization of Deep Neural Network with Intrinsic Dimensionality Ryumei Nakada Masaaki Imaizumi AI4CE 73 38 0 04 Jul 2019
Error bounds for deep ReLU networks using the Kolmogorov--Arnold superposition theorem Hadrien Montanelli Haizhao Yang 70 93 0 27 Jun 2019
A Review on Deep Learning in Medical Image Reconstruction Hai-Miao Zhang Bin Dong MedIm 128 128 0 23 Jun 2019
The phase diagram of approximation rates for deep neural networks Dmitry Yarotsky Anton Zhevnerchuk 88 122 0 22 Jun 2019
Convergence of Adversarial Training in Overparametrized Neural Networks Ruiqi Gao Tianle Cai Haochuan Li Liwei Wang Cho-Jui Hsieh Jason D. Lee AAML 113 109 0 19 Jun 2019
Deep Network Approximation Characterized by Number of Neurons Zuowei Shen Haizhao Yang Shijun Zhang 98 186 0 13 Jun 2019
Threshold-Based Retrieval and Textual Entailment Detection on Legal Bar Exam Questions Sabine Wehnert Sayed Anisul Hoque W. Fenske G. Saake ELM AILaw 85 14 0 30 May 2019
Function approximation by deep networks H. Mhaskar T. Poggio 96 23 0 30 May 2019
Towards a regularity theory for ReLU networks -- chain rule and global error estimates Julius Berner Dennis Elbrächter Philipp Grohs Arnulf Jentzen AI4CE 38 16 0 13 May 2019
Nonlinear Approximation and (Deep) ReLU Networks Ingrid Daubechies Ronald A. DeVore S. Foucart Boris Hanin G. Petrova 110 146 0 05 May 2019
Approximation spaces of deep neural networks Rémi Gribonval Gitta Kutyniok M. Nielsen Felix Voigtländer 111 126 0 03 May 2019
Approximation in $L^p(μ)$ with deep ReLU neural networks F. Voigtlaender P. Petersen 48 3 0 09 Apr 2019
Nonlinear Approximation via Compositions Zuowei Shen Haizhao Yang Shijun Zhang 88 91 0 26 Feb 2019
Optimal Nonparametric Inference via Deep Neural Network Ruiqi Liu B. Boukai Zuofeng Shang 49 19 0 05 Feb 2019
Generalization Error Bounds of Gradient Descent for Learning Over-parameterized Deep ReLU Networks Yuan Cao Quanquan Gu ODL MLT AI4CE 156 158 0 04 Feb 2019
Complexity of Linear Regions in Deep Networks Boris Hanin David Rolnick 81 234 0 25 Jan 2019
Stochastic Gradient Descent Optimizes Over-parameterized Deep ReLU Networks Difan Zou Yuan Cao Dongruo Zhou Quanquan Gu ODL 257 448 0 21 Nov 2018
Small ReLU networks are powerful memorizers: a tight analysis of memorization capacity Chulhee Yun S. Sra Ali Jadbabaie 160 118 0 17 Oct 2018
Graph Embedding with Shifted Inner Product Similarity and Its Improved Approximation Capability Akifumi Okuno Geewook Kim Hidetoshi Shimodaira 36 8 0 04 Oct 2018
Deep Neural Networks for Estimation and Inference M. Farrell Tengyuan Liang S. Misra BDL 186 256 0 26 Sep 2018
Approximation and Estimation for High-Dimensional Deep Learning Networks Andrew R. Barron Jason M. Klusowski 82 59 0 10 Sep 2018
NEU: A Meta-Algorithm for Universal UAP-Invariant Feature Representation Anastasis Kratsios Cody B. Hyndman OOD 69 17 0 31 Aug 2018
Dialectical GAN for SAR Image Translation: From Sentinel-1 to TerraSAR-X Dongyang Ao C. Dumitru G. Schwarz Mihai Datcu GAN 46 42 0 20 Jul 2018
On decision regions of narrow deep neural networks H. Beise S. Cruz Udo Schröder MLT 90 16 0 03 Jul 2018
ResNet with one-neuron hidden layers is a Universal Approximator Hongzhou Lin Stefanie Jegelka 119 229 0 28 Jun 2018
Learning One-hidden-layer ReLU Networks via Gradient Descent Xiao Zhang Yaodong Yu Lingxiao Wang Quanquan Gu MLT 129 135 0 20 Jun 2018
Nonparametric regression using deep neural networks with ReLU activation function Johannes Schmidt-Hieber 244 817 0 22 Aug 2017