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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
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Papers citing
"Why and When Can Deep -- but Not Shallow -- Networks Avoid the Curse of Dimensionality: a Review"
38 / 238 papers shown
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Overcoming the Curse of Dimensionality in Neural Networks
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Deep Learning for Energy Markets
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Collapse of Deep and Narrow Neural Nets
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Generalization Error in Deep Learning
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Geometry of energy landscapes and the optimizability of deep neural networks
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17 Jul 2018
Exponential Convergence of the Deep Neural Network Approximation for Analytic Functions
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Representational Power of ReLU Networks and Polynomial Kernels: Beyond Worst-Case Analysis
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Andrej Risteski
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29 May 2018
Mean Field Theory of Activation Functions in Deep Neural Networks
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Thiparat Chotibut
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Deep learning generalizes because the parameter-function map is biased towards simple functions
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Ling Zhou
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Universal approximations of invariant maps by neural networks
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26 Apr 2018
Deep Learning for Predicting Asset Returns
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A comparison of deep networks with ReLU activation function and linear spline-type methods
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Posterior Concentration for Sparse Deep Learning
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Neural Networks Should Be Wide Enough to Learn Disconnected Decision Regions
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28 Feb 2018
Theory of Deep Learning IIb: Optimization Properties of SGD
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Alexander Rakhlin
Brando Miranda
Noah Golowich
T. Poggio
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Lower bounds over Boolean inputs for deep neural networks with ReLU gates
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Optimization Landscape and Expressivity of Deep CNNs
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Generalization in Deep Learning
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L. Kaelbling
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Optimal approximation of piecewise smooth functions using deep ReLU neural networks
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Machine learning \& artificial intelligence in the quantum domain
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Hans J. Briegel
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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
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Ivan Oseledets
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Danilo P. Mandic
74
300
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Nonparametric regression using deep neural networks with ReLU activation function
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244
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Expert and Non-Expert Opinion about Technological Unemployment
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58
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Neural networks and rational functions
Matus Telgarsky
82
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11 Jun 2017
The power of deeper networks for expressing natural functions
David Rolnick
Max Tegmark
170
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16 May 2017
Theory II: Landscape of the Empirical Risk in Deep Learning
Q. Liao
Tomaso Poggio
12
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28 Mar 2017
Depth Creates No Bad Local Minima
Haihao Lu
Kenji Kawaguchi
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102
121
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McKernel: A Library for Approximate Kernel Expansions in Log-linear Time
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I. Zarza
Feng Yang
Alex Smola
Fernando de la Torre
Chong Wah Ngo
Luc van Gool
69
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27 Feb 2017
Equivalence of restricted Boltzmann machines and tensor network states
Martín Arjovsky
Song Cheng
Haidong Xie
Léon Bottou
Tao Xiang
109
225
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Models, networks and algorithmic complexity
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8
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13 Dec 2016
Depth-Width Tradeoffs in Approximating Natural Functions with Neural Networks
Itay Safran
Ohad Shamir
90
175
0
31 Oct 2016
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