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Nonparametric Regression on Low-Dimensional Manifolds using Deep ReLU
  Networks : Function Approximation and Statistical Recovery
v1v2v3v4v5 (latest)

Nonparametric Regression on Low-Dimensional Manifolds using Deep ReLU Networks : Function Approximation and Statistical Recovery

5 August 2019
Minshuo Chen
Haoming Jiang
Wenjing Liao
T. Zhao
ArXiv (abs)PDFHTML

Papers citing "Nonparametric Regression on Low-Dimensional Manifolds using Deep ReLU Networks : Function Approximation and Statistical Recovery"

35 / 35 papers shown
Title
The Exploration of Error Bounds in Classification with Noisy Labels
The Exploration of Error Bounds in Classification with Noisy Labels
Haixia Liu
Boxiao Li
Can Yang
Yang Wang
NoLa
169
0
0
25 Jan 2025
Deep Transfer Learning: Model Framework and Error Analysis
Deep Transfer Learning: Model Framework and Error Analysis
Yuling Jiao
Huazhen Lin
Yuchen Luo
Jerry Zhijian Yang
103
1
0
12 Oct 2024
Generative Adversarial Networks
Generative Adversarial Networks
Gilad Cohen
Raja Giryes
GAN
301
30,152
0
01 Mar 2022
Multiscale regression on unknown manifolds
Multiscale regression on unknown manifolds
Wenjing Liao
Mauro Maggioni
Stefano Vigogna
46
9
0
13 Jan 2021
A deep network construction that adapts to intrinsic dimensionality
  beyond the domain
A deep network construction that adapts to intrinsic dimensionality beyond the domain
A. Cloninger
T. Klock
AI4CE
57
14
0
06 Aug 2020
Deep ReLU network approximation of functions on a manifold
Deep ReLU network approximation of functions on a manifold
Johannes Schmidt-Hieber
103
95
0
02 Aug 2019
Smooth function approximation by deep neural networks with general
  activation functions
Smooth function approximation by deep neural networks with general activation functions
Ilsang Ohn
Yongdai Kim
52
80
0
17 Jun 2019
Deep Network Approximation Characterized by Number of Neurons
Deep Network Approximation Characterized by Number of Neurons
Zuowei Shen
Haizhao Yang
Shijun Zhang
64
186
0
13 Jun 2019
EfficientNet: Rethinking Model Scaling for Convolutional Neural Networks
EfficientNet: Rethinking Model Scaling for Convolutional Neural Networks
Mingxing Tan
Quoc V. Le
3DVMedIm
184
18,224
0
28 May 2019
Nonlinear Approximation and (Deep) ReLU Networks
Nonlinear Approximation and (Deep) ReLU Networks
Ingrid Daubechies
Ronald A. DeVore
S. Foucart
Boris Hanin
G. Petrova
102
143
0
05 May 2019
Error bounds for approximations with deep ReLU neural networks in
  $W^{s,p}$ norms
Error bounds for approximations with deep ReLU neural networks in Ws,pW^{s,p}Ws,p norms
Ingo Gühring
Gitta Kutyniok
P. Petersen
93
200
0
21 Feb 2019
Fast convergence rates of deep neural networks for classification
Fast convergence rates of deep neural networks for classification
Yongdai Kim
Ilsang Ohn
Dongha Kim
3DH3DV
69
81
0
10 Dec 2018
Adaptivity of deep ReLU network for learning in Besov and mixed smooth
  Besov spaces: optimal rate and curse of dimensionality
Adaptivity of deep ReLU network for learning in Besov and mixed smooth Besov spaces: optimal rate and curse of dimensionality
Taiji Suzuki
193
246
0
18 Oct 2018
Universality of Deep Convolutional Neural Networks
Universality of Deep Convolutional Neural Networks
Ding-Xuan Zhou
HAIPINN
417
517
0
28 May 2018
On the Optimization of Deep Networks: Implicit Acceleration by
  Overparameterization
On the Optimization of Deep Networks: Implicit Acceleration by Overparameterization
Sanjeev Arora
Nadav Cohen
Elad Hazan
120
487
0
19 Feb 2018
The Expressive Power of Neural Networks: A View from the Width
The Expressive Power of Neural Networks: A View from the Width
Zhou Lu
Hongming Pu
Feicheng Wang
Zhiqiang Hu
Liwei Wang
99
899
0
08 Sep 2017
Squeeze-and-Excitation Networks
Squeeze-and-Excitation Networks
Jie Hu
Li Shen
Samuel Albanie
Gang Sun
Enhua Wu
427
26,605
0
05 Sep 2017
Nonparametric regression using deep neural networks with ReLU activation
  function
Nonparametric regression using deep neural networks with ReLU activation function
Johannes Schmidt-Hieber
242
816
0
22 Aug 2017
Recent Trends in Deep Learning Based Natural Language Processing
Recent Trends in Deep Learning Based Natural Language Processing
Tom Young
Devamanyu Hazarika
Soujanya Poria
Min Zhang
83
2,838
0
09 Aug 2017
Universal Function Approximation by Deep Neural Nets with Bounded Width
  and ReLU Activations
Universal Function Approximation by Deep Neural Nets with Bounded Width and ReLU Activations
Boris Hanin
73
356
0
09 Aug 2017
Estimating the Reach of a Manifold
Estimating the Reach of a Manifold
Eddie Aamari
Jisu Kim
Frédéric Chazal
Bertrand Michel
Alessandro Rinaldo
Larry Wasserman LM-Orsay
126
105
0
12 May 2017
Understanding deep learning requires rethinking generalization
Understanding deep learning requires rethinking generalization
Chiyuan Zhang
Samy Bengio
Moritz Hardt
Benjamin Recht
Oriol Vinyals
HAI
356
4,636
0
10 Nov 2016
Error bounds for approximations with deep ReLU networks
Error bounds for approximations with deep ReLU networks
Dmitry Yarotsky
207
1,236
0
03 Oct 2016
Deep Reinforcement Learning for Robotic Manipulation with Asynchronous
  Off-Policy Updates
Deep Reinforcement Learning for Robotic Manipulation with Asynchronous Off-Policy Updates
S. Gu
E. Holly
Timothy Lillicrap
Sergey Levine
OffRLSSL
116
1,483
0
03 Oct 2016
Deep nets for local manifold learning
Deep nets for local manifold learning
C. Chui
H. Mhaskar
68
62
0
24 Jul 2016
Fully Convolutional Networks for Semantic Segmentation
Fully Convolutional Networks for Semantic Segmentation
Evan Shelhamer
Jonathan Long
Trevor Darrell
VOSSSeg
760
37,927
0
20 May 2016
Deep Speech 2: End-to-End Speech Recognition in English and Mandarin
Deep Speech 2: End-to-End Speech Recognition in English and Mandarin
Dario Amodei
Rishita Anubhai
Eric Battenberg
Carl Case
Jared Casper
...
Chong-Jun Wang
Bo Xiao
Dani Yogatama
J. Zhan
Zhenyao Zhu
146
2,976
0
08 Dec 2015
Provable approximation properties for deep neural networks
Provable approximation properties for deep neural networks
Uri Shaham
A. Cloninger
Ronald R. Coifman
185
231
0
24 Sep 2015
Very Deep Convolutional Networks for Large-Scale Image Recognition
Very Deep Convolutional Networks for Large-Scale Image Recognition
Karen Simonyan
Andrew Zisserman
FAttMDE
1.7K
100,575
0
04 Sep 2014
Neural Machine Translation by Jointly Learning to Align and Translate
Neural Machine Translation by Jointly Learning to Align and Translate
Dzmitry Bahdanau
Kyunghyun Cho
Yoshua Bengio
AIMat
584
27,345
0
01 Sep 2014
Minimax-optimal nonparametric regression in high dimensions
Minimax-optimal nonparametric regression in high dimensions
Yun Yang
S. Tokdar
102
93
0
28 Jan 2014
Speech Recognition with Deep Recurrent Neural Networks
Speech Recognition with Deep Recurrent Neural Networks
Alex Graves
Abdel-rahman Mohamed
Geoffrey E. Hinton
230
8,529
0
22 Mar 2013
Local Linear Regression on Manifolds and its Geometric Interpretation
Local Linear Regression on Manifolds and its Geometric Interpretation
Ming-Yen Cheng
Hau‐Tieng Wu
92
89
0
01 Jan 2012
k-NN Regression Adapts to Local Intrinsic Dimension
k-NN Regression Adapts to Local Intrinsic Dimension
Samory Kpotufe
387
129
0
19 Oct 2011
Local polynomial regression on unknown manifolds
Local polynomial regression on unknown manifolds
Peter J. Bickel
Bo Li
275
130
0
07 Aug 2007
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