Estimation of a regression function on a manifold by fully connected deep neural networks

20 July 2021

Papers citing "Estimation of a regression function on a manifold by fully connected deep neural networks"

33 / 33 papers shown

Title
Analysis of the rate of convergence of fully connected deep neural network regression estimates with smooth activation function S. Langer 33 22 0 12 Oct 2020
Approximating smooth functions by deep neural networks with sigmoid activation function S. Langer 39 68 0 08 Oct 2020
Deep Network Approximation for Smooth Functions Jianfeng Lu Zuowei Shen Haizhao Yang Shijun Zhang 97 247 0 09 Jan 2020
Deep learning is adaptive to intrinsic dimensionality of model smoothness in anisotropic Besov space Taiji Suzuki Atsushi Nitanda 50 62 0 28 Oct 2019
On the rate of convergence of fully connected very deep neural network regression estimates Michael Kohler S. Langer 34 40 0 29 Aug 2019
Theoretical Issues in Deep Networks: Approximation, Optimization and Generalization T. Poggio Andrzej Banburski Q. Liao ODL 75 164 0 25 Aug 2019
Deep ReLU network approximation of functions on a manifold Johannes Schmidt-Hieber 55 93 0 02 Aug 2019
Adaptive Approximation and Generalization of Deep Neural Network with Intrinsic Dimensionality Ryumei Nakada Masaaki Imaizumi AI4CE 48 38 0 04 Jul 2019
The Difficulty of Training Sparse Neural Networks Utku Evci Fabian Pedregosa Aidan Gomez Erich Elsen 49 101 0 25 Jun 2019
The phase diagram of approximation rates for deep neural networks Dmitry Yarotsky Anton Zhevnerchuk 59 121 0 22 Jun 2019
Fine-Grained Analysis of Optimization and Generalization for Overparameterized Two-Layer Neural Networks Sanjeev Arora S. Du Wei Hu Zhiyuan Li Ruosong Wang MLT 173 971 0 24 Jan 2019
A Convergence Theory for Deep Learning via Over-Parameterization Zeyuan Allen-Zhu Yuanzhi Li Zhao Song AI4CE ODL 226 1,461 0 09 Nov 2018
Adaptivity of deep ReLU network for learning in Besov and mixed smooth Besov spaces: optimal rate and curse of dimensionality Taiji Suzuki 158 243 0 18 Oct 2018
Rethinking the Value of Network Pruning Zhuang Liu Mingjie Sun Tinghui Zhou Gao Huang Trevor Darrell 36 1,471 0 11 Oct 2018
Deep Neural Networks for Estimation and Inference M. Farrell Tengyuan Liang S. Misra BDL 150 254 0 26 Sep 2018
Learning Overparameterized Neural Networks via Stochastic Gradient Descent on Structured Data Yuanzhi Li Yingyu Liang MLT 198 653 0 03 Aug 2018
A comparison of deep networks with ReLU activation function and linear spline-type methods Konstantin Eckle Johannes Schmidt-Hieber 67 329 0 06 Apr 2018
On the Power of Over-parametrization in Neural Networks with Quadratic Activation S. Du Jason D. Lee 144 271 0 03 Mar 2018
Deep Neural Networks Learn Non-Smooth Functions Effectively Masaaki Imaizumi Kenji Fukumizu 135 124 0 13 Feb 2018
Nonparametric regression using deep neural networks with ReLU activation function Johannes Schmidt-Hieber 204 810 0 22 Aug 2017
Error bounds for approximations with deep ReLU networks Dmitry Yarotsky 177 1,226 0 03 Oct 2016
Deep vs. shallow networks : An approximation theory perspective H. Mhaskar T. Poggio 149 342 0 10 Aug 2016
Deep nets for local manifold learning C. Chui H. Mhaskar 55 62 0 24 Jul 2016
Deep Learning without Poor Local Minima Kenji Kawaguchi ODL 201 922 0 23 May 2016
The Power of Depth for Feedforward Neural Networks Ronen Eldan Ohad Shamir 197 732 0 12 Dec 2015
The Loss Surfaces of Multilayer Networks A. Choromańska Mikael Henaff Michaël Mathieu Gerard Ben Arous Yann LeCun ODL 251 1,196 0 30 Nov 2014
Identifying and attacking the saddle point problem in high-dimensional non-convex optimization Yann N. Dauphin Razvan Pascanu Çağlar Gülçehre Kyunghyun Cho Surya Ganguli Yoshua Bengio ODL 123 1,384 0 10 Jun 2014
Bayesian Manifold Regression Yun Yang David B. Dunson 53 79 0 03 May 2013
Universal Approximation Depth and Errors of Narrow Belief Networks with Discrete Units Guido Montúfar 152 40 0 29 Mar 2013
Speech Recognition with Deep Recurrent Neural Networks Alex Graves Abdel-rahman Mohamed Geoffrey E. Hinton 198 8,507 0 22 Mar 2013
k-NN Regression Adapts to Local Intrinsic Dimension Samory Kpotufe 328 128 0 19 Oct 2011
Eignets for function approximation on manifolds H. Mhaskar 127 68 0 28 Sep 2009
Local polynomial regression on unknown manifolds Peter J. Bickel Bo Li 246 130 0 07 Aug 2007