Why and When Can Deep -- but Not Shallow -- Networks Avoid the Curse of Dimensionality: a Review

2 November 2016

Papers citing "Why and When Can Deep -- but Not Shallow -- Networks Avoid the Curse of Dimensionality: a Review"

48 / 98 papers shown

Title
Application of deep learning to large scale riverine flow velocity estimation M. Forghani Yizhou Qian Jonghyun Lee Matthew W. Farthing T. Hesser P. Kitanidis Eric F. Darve 14 21 0 04 Dec 2020
On the application of Physically-Guided Neural Networks with Internal Variables to Continuum Problems J. Ayensa-Jiménez M. H. Doweidar J. A. Sanz-Herrera Manuel Doblaré 24 1 0 23 Nov 2020
Neural Network Approximation: Three Hidden Layers Are Enough Zuowei Shen Haizhao Yang Shijun Zhang 30 115 0 25 Oct 2020
Computational Separation Between Convolutional and Fully-Connected Networks Eran Malach Shai Shalev-Shwartz 24 26 0 03 Oct 2020
Deep learning for time series classification Hassan Ismail Fawaz BDL AI4TS 43 35 0 01 Oct 2020
The Kolmogorov-Arnold representation theorem revisited Johannes Schmidt-Hieber 30 126 0 31 Jul 2020
Expressivity of Deep Neural Networks Ingo Gühring Mones Raslan Gitta Kutyniok 16 51 0 09 Jul 2020
Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory Tao Luo Haizhao Yang 32 74 0 28 Jun 2020
Hierarchically Compositional Tasks and Deep Convolutional Networks Arturo Deza Q. Liao Andrzej Banburski T. Poggio BDL OOD 33 2 0 24 Jun 2020
Minimum Width for Universal Approximation Sejun Park Chulhee Yun Jaeho Lee Jinwoo Shin 35 122 0 16 Jun 2020
Inverse Problems, Deep Learning, and Symmetry Breaking Kshitij Tayal Chieh-Hsin Lai Vipin Kumar Ju Sun AI4CE 72 15 0 20 Mar 2020
Uncertainty Quantification for Sparse Deep Learning Yuexi Wang Veronika Rockova BDL UQCV 31 31 0 26 Feb 2020
Approximation Bounds for Random Neural Networks and Reservoir Systems Lukas Gonon Lyudmila Grigoryeva Juan-Pablo Ortega 31 64 0 14 Feb 2020
Deep Network Approximation for Smooth Functions Jianfeng Lu Zuowei Shen Haizhao Yang Shijun Zhang 67 247 0 09 Jan 2020
Analysis of Deep Neural Networks with Quasi-optimal polynomial approximation rates Joseph Daws Clayton Webster 30 8 0 04 Dec 2019
Stochastic Feedforward Neural Networks: Universal Approximation Thomas Merkh Guido Montúfar 17 8 0 22 Oct 2019
Optimal Function Approximation with Relu Neural Networks Bo Liu Yi Liang 25 33 0 09 Sep 2019
Theoretical Issues in Deep Networks: Approximation, Optimization and Generalization T. Poggio Andrzej Banburski Q. Liao ODL 31 161 0 25 Aug 2019
DeepXDE: A deep learning library for solving differential equations Lu Lu Xuhui Meng Zhiping Mao George Karniadakis PINN AI4CE 52 1,489 0 10 Jul 2019
The phase diagram of approximation rates for deep neural networks Dmitry Yarotsky Anton Zhevnerchuk 27 121 0 22 Jun 2019
Meta-learning Pseudo-differential Operators with Deep Neural Networks Jordi Feliu-Fabà Yuwei Fan Lexing Ying 22 39 0 16 Jun 2019
Bayesian Nonparametric Federated Learning of Neural Networks Mikhail Yurochkin Mayank Agarwal S. Ghosh Kristjan Greenewald T. Hoang Y. Khazaeni FedML 12 720 0 28 May 2019
Nonlinear Approximation and (Deep) ReLU Networks Ingrid Daubechies Ronald A. DeVore S. Foucart Boris Hanin G. Petrova 22 138 0 05 May 2019
A neural network-based framework for financial model calibration Shuaiqiang Liu Anastasia Borovykh L. Grzelak C. Oosterlee 38 103 0 23 Apr 2019
A Selective Overview of Deep Learning Jianqing Fan Cong Ma Yiqiao Zhong BDL VLM 38 136 0 10 Apr 2019
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs Gitta Kutyniok P. Petersen Mones Raslan R. Schneider 23 197 0 31 Mar 2019
Adaptive Genomic Evolution of Neural Network Topologies (AGENT) for State-to-Action Mapping in Autonomous Agents A. Behjat Sharat Chidambaran Souma Chowdhury 14 14 0 17 Mar 2019
Is Deeper Better only when Shallow is Good? Eran Malach Shai Shalev-Shwartz 28 45 0 08 Mar 2019
A lattice-based approach to the expressivity of deep ReLU neural networks V. Corlay J. Boutros P. Ciblat L. Brunel 24 4 0 28 Feb 2019
Non-attracting Regions of Local Minima in Deep and Wide Neural Networks Henning Petzka C. Sminchisescu 29 9 0 16 Dec 2018
PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Network Zichao Long Yiping Lu Bin Dong AI4CE 31 543 0 30 Nov 2018
Data Driven Governing Equations Approximation Using Deep Neural Networks Tong Qin Kailiang Wu D. Xiu PINN 34 270 0 13 Nov 2018
Bayesian Deep Convolutional Networks with Many Channels are Gaussian Processes Roman Novak Lechao Xiao Jaehoon Lee Yasaman Bahri Greg Yang Jiri Hron Daniel A. Abolafia Jeffrey Pennington Jascha Narain Sohl-Dickstein UQCV BDL 25 307 0 11 Oct 2018
Towards WARSHIP: Combining Components of Brain-Inspired Computing of RSH for Image Super Resolution Wendi Xu Ming Zhang 25 1 0 03 Oct 2018
Implicit Self-Regularization in Deep Neural Networks: Evidence from Random Matrix Theory and Implications for Learning Charles H. Martin Michael W. Mahoney AI4CE 47 192 0 02 Oct 2018
Deep learning for time series classification: a review Hassan Ismail Fawaz Germain Forestier J. Weber L. Idoumghar Pierre-Alain Muller AI4TS AI4CE 136 2,648 0 12 Sep 2018
Generalization Error in Deep Learning Daniel Jakubovitz Raja Giryes M. Rodrigues AI4CE 32 109 0 03 Aug 2018
Deep Learning Nicholas G. Polson Vadim Sokolov AI4CE BDL 27 1 0 20 Jul 2018
Deep learning generalizes because the parameter-function map is biased towards simple functions Guillermo Valle Pérez Chico Q. Camargo A. Louis MLT AI4CE 18 226 0 22 May 2018
Universal approximations of invariant maps by neural networks Dmitry Yarotsky 32 205 0 26 Apr 2018
Deep Learning for Predicting Asset Returns Guanhao Feng Jingyu He Nicholas G. Polson 18 58 0 25 Apr 2018
Posterior Concentration for Sparse Deep Learning Nicholas G. Polson Veronika Rockova UQCV BDL 30 88 0 24 Mar 2018
Theory of Deep Learning IIb: Optimization Properties of SGD Chiyuan Zhang Q. Liao Alexander Rakhlin Brando Miranda Noah Golowich T. Poggio ODL 28 71 0 07 Jan 2018
$Machine learning \& artificial intelligence in the quantum domain$ Machine learning \& artificial intelligence in the quantum domain Vedran Dunjko H. Briegel 21 344 0 08 Sep 2017
Tensor Networks for Dimensionality Reduction and Large-Scale Optimizations. Part 2 Applications and Future Perspectives A. Cichocki Anh-Huy Phan Qibin Zhao Namgil Lee Ivan Oseledets Masashi Sugiyama Danilo P. Mandic 28 296 0 30 Aug 2017
The power of deeper networks for expressing natural functions David Rolnick Max Tegmark 36 174 0 16 May 2017
Equivalence of restricted Boltzmann machines and tensor network states Martín Arjovsky Song Cheng Haidong Xie Léon Bottou Tao Xiang 26 225 0 17 Jan 2017
Bridging the Gaps Between Residual Learning, Recurrent Neural Networks and Visual Cortex Q. Liao T. Poggio 213 255 0 13 Apr 2016