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Why and When Can Deep -- but Not Shallow -- Networks Avoid the Curse of
  Dimensionality: a Review
v1v2v3v4v5 (latest)

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

2 November 2016
T. Poggio
H. Mhaskar
Lorenzo Rosasco
Brando Miranda
Q. Liao
ArXiv (abs)PDFHTML

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

38 / 238 papers shown
Title
Image as Data: Automated Visual Content Analysis for Political Science
Image as Data: Automated Visual Content Analysis for Political Science
Jungseock Joo
Zachary C. Steinert-Threlkeld
48
42
0
03 Oct 2018
Implicit Self-Regularization in Deep Neural Networks: Evidence from
  Random Matrix Theory and Implications for Learning
Implicit Self-Regularization in Deep Neural Networks: Evidence from Random Matrix Theory and Implications for Learning
Charles H. Martin
Michael W. Mahoney
AI4CE
137
201
0
02 Oct 2018
Deep learning for time series classification: a review
Deep learning for time series classification: a review
Hassan Ismail Fawaz
Germain Forestier
J. Weber
L. Idoumghar
Pierre-Alain Muller
AI4TSAI4CE
376
2,720
0
12 Sep 2018
Overcoming the Curse of Dimensionality in Neural Networks
Karen Yeressian
75
1
0
02 Sep 2018
Deep Learning for Energy Markets
Deep Learning for Energy Markets
Michael Polson
Vadim Sokolov
AI4TS
58
27
0
16 Aug 2018
Collapse of Deep and Narrow Neural Nets
Collapse of Deep and Narrow Neural Nets
Lu Lu
Yanhui Su
George Karniadakis
ODL
96
156
0
15 Aug 2018
Generalization Error in Deep Learning
Generalization Error in Deep Learning
Daniel Jakubovitz
Raja Giryes
M. Rodrigues
AI4CE
237
111
0
03 Aug 2018
Geometry of energy landscapes and the optimizability of deep neural
  networks
Geometry of energy landscapes and the optimizability of deep neural networks
Simon Becker
Yao Zhang
A. Lee
46
30
0
01 Aug 2018
Deep Learning
Deep Learning
Nicholas G. Polson
Vadim Sokolov
AI4CEBDL
64
1
0
20 Jul 2018
Are Efficient Deep Representations Learnable?
Are Efficient Deep Representations Learnable?
Maxwell Nye
Andrew M. Saxe
53
24
0
17 Jul 2018
Exponential Convergence of the Deep Neural Network Approximation for
  Analytic Functions
Exponential Convergence of the Deep Neural Network Approximation for Analytic Functions
Weinan E
Qingcan Wang
74
102
0
01 Jul 2018
Representational Power of ReLU Networks and Polynomial Kernels: Beyond
  Worst-Case Analysis
Representational Power of ReLU Networks and Polynomial Kernels: Beyond Worst-Case Analysis
Frederic Koehler
Andrej Risteski
47
12
0
29 May 2018
Mean Field Theory of Activation Functions in Deep Neural Networks
Mean Field Theory of Activation Functions in Deep Neural Networks
M. Milletarí
Thiparat Chotibut
P. E. Trevisanutto
30
4
0
22 May 2018
Deep learning generalizes because the parameter-function map is biased
  towards simple functions
Deep learning generalizes because the parameter-function map is biased towards simple functions
Guillermo Valle Pérez
Chico Q. Camargo
A. Louis
MLTAI4CE
122
232
0
22 May 2018
Reducing Parameter Space for Neural Network Training
Reducing Parameter Space for Neural Network Training
Tong Qin
Ling Zhou
D. Xiu
35
6
0
22 May 2018
Universal approximations of invariant maps by neural networks
Universal approximations of invariant maps by neural networks
Dmitry Yarotsky
133
214
0
26 Apr 2018
Deep Learning for Predicting Asset Returns
Deep Learning for Predicting Asset Returns
Guanhao Feng
Jingyu He
Nicholas G. Polson
56
58
0
25 Apr 2018
A comparison of deep networks with ReLU activation function and linear
  spline-type methods
A comparison of deep networks with ReLU activation function and linear spline-type methods
Konstantin Eckle
Johannes Schmidt-Hieber
71
332
0
06 Apr 2018
Posterior Concentration for Sparse Deep Learning
Posterior Concentration for Sparse Deep Learning
Nicholas G. Polson
Veronika Rockova
UQCVBDL
183
90
0
24 Mar 2018
The emergent algebraic structure of RNNs and embeddings in NLP
The emergent algebraic structure of RNNs and embeddings in NLP
Sean A. Cantrell
43
2
0
07 Mar 2018
Neural Networks Should Be Wide Enough to Learn Disconnected Decision
  Regions
Neural Networks Should Be Wide Enough to Learn Disconnected Decision Regions
Quynh N. Nguyen
Mahesh Chandra Mukkamala
Matthias Hein
MLT
109
56
0
28 Feb 2018
Theory of Deep Learning IIb: Optimization Properties of SGD
Theory of Deep Learning IIb: Optimization Properties of SGD
Chiyuan Zhang
Q. Liao
Alexander Rakhlin
Brando Miranda
Noah Golowich
T. Poggio
ODL
75
71
0
07 Jan 2018
Lower bounds over Boolean inputs for deep neural networks with ReLU
  gates
Lower bounds over Boolean inputs for deep neural networks with ReLU gates
Anirbit Mukherjee
A. Basu
89
21
0
08 Nov 2017
Optimization Landscape and Expressivity of Deep CNNs
Optimization Landscape and Expressivity of Deep CNNs
Quynh N. Nguyen
Matthias Hein
101
29
0
30 Oct 2017
Generalization in Deep Learning
Generalization in Deep Learning
Kenji Kawaguchi
L. Kaelbling
Yoshua Bengio
ODL
181
460
0
16 Oct 2017
Optimal approximation of piecewise smooth functions using deep ReLU
  neural networks
Optimal approximation of piecewise smooth functions using deep ReLU neural networks
P. Petersen
Felix Voigtländer
230
476
0
15 Sep 2017
Machine learning \& artificial intelligence in the quantum domain
Machine learning \& artificial intelligence in the quantum domain
Vedran Dunjko
Hans J. Briegel
79
347
0
08 Sep 2017
Tensor Networks for Dimensionality Reduction and Large-Scale
  Optimizations. Part 2 Applications and Future Perspectives
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
74
300
0
30 Aug 2017
Nonparametric regression using deep neural networks with ReLU activation
  function
Nonparametric regression using deep neural networks with ReLU activation function
Johannes Schmidt-Hieber
244
817
0
22 Aug 2017
Expert and Non-Expert Opinion about Technological Unemployment
Expert and Non-Expert Opinion about Technological Unemployment
T. Walsh
58
102
0
21 Jun 2017
Neural networks and rational functions
Neural networks and rational functions
Matus Telgarsky
82
82
0
11 Jun 2017
The power of deeper networks for expressing natural functions
The power of deeper networks for expressing natural functions
David Rolnick
Max Tegmark
170
174
0
16 May 2017
Theory II: Landscape of the Empirical Risk in Deep Learning
Theory II: Landscape of the Empirical Risk in Deep Learning
Q. Liao
Tomaso Poggio
12
0
0
28 Mar 2017
Depth Creates No Bad Local Minima
Depth Creates No Bad Local Minima
Haihao Lu
Kenji Kawaguchi
ODLFAtt
102
121
0
27 Feb 2017
McKernel: A Library for Approximate Kernel Expansions in Log-linear Time
McKernel: A Library for Approximate Kernel Expansions in Log-linear Time
J. Curtò
I. Zarza
Feng Yang
Alex Smola
Fernando de la Torre
Chong Wah Ngo
Luc van Gool
69
3
0
27 Feb 2017
Equivalence of restricted Boltzmann machines and tensor network states
Equivalence of restricted Boltzmann machines and tensor network states
Martín Arjovsky
Song Cheng
Haidong Xie
Léon Bottou
Tao Xiang
109
225
0
17 Jan 2017
Models, networks and algorithmic complexity
Models, networks and algorithmic complexity
G. Ruffini
8
6
0
13 Dec 2016
Depth-Width Tradeoffs in Approximating Natural Functions with Neural
  Networks
Depth-Width Tradeoffs in Approximating Natural Functions with Neural Networks
Itay Safran
Ohad Shamir
90
175
0
31 Oct 2016
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