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On the Expressive Power of Deep Learning: A Tensor Analysis

On the Expressive Power of Deep Learning: A Tensor Analysis

16 September 2015
Nadav Cohen
Or Sharir
Amnon Shashua
ArXivPDFHTML

Papers citing "On the Expressive Power of Deep Learning: A Tensor Analysis"

50 / 246 papers shown
Title
Efficient Deep Learning of GMMs
Efficient Deep Learning of GMMs
S. Jalali
C. Nuzman
I. Saniee
VLM
20
4
0
15 Feb 2019
PASTA: A Parallel Sparse Tensor Algorithm Benchmark Suite
PASTA: A Parallel Sparse Tensor Algorithm Benchmark Suite
Jiajia Li
Yuchen Ma
Xiaolong Wu
Ang Li
Kevin J. Barker
25
18
0
08 Feb 2019
A Generalized Language Model in Tensor Space
A Generalized Language Model in Tensor Space
Lipeng Zhang
Peng Zhang
Xindian Ma
Shuqin Gu
Zhan Su
D. Song
19
16
0
31 Jan 2019
Generalized Tensor Models for Recurrent Neural Networks
Generalized Tensor Models for Recurrent Neural Networks
Valentin Khrulkov
Oleksii Hrinchuk
Ivan Oseledets
GNN
27
25
0
30 Jan 2019
TGAN: Deep Tensor Generative Adversarial Nets for Large Image Generation
TGAN: Deep Tensor Generative Adversarial Nets for Large Image Generation
Zihan Ding
Xiao-Yang Liu
Miao Yin
L. Kong
GAN
23
27
0
28 Jan 2019
Deep Neural Network Approximation Theory
Deep Neural Network Approximation Theory
Dennis Elbrächter
Dmytro Perekrestenko
Philipp Grohs
Helmut Bölcskei
16
207
0
08 Jan 2019
Deep learning for pedestrians: backpropagation in CNNs
Deep learning for pedestrians: backpropagation in CNNs
L. Boué
3DV
PINN
18
4
0
29 Nov 2018
Convolutional Neural Networks with Transformed Input based on Robust
  Tensor Network Decomposition
Convolutional Neural Networks with Transformed Input based on Robust Tensor Network Decomposition
Jenn-Bing Ong
W. Ng
C.-C. Jay Kuo
AAML
27
0
0
20 Nov 2018
Learning with tree-based tensor formats
Learning with tree-based tensor formats
Erwan Grelier
A. Nouy
M. Chevreuil
9
23
0
11 Nov 2018
Radius-margin bounds for deep neural networks
Radius-margin bounds for deep neural networks
Mayank Sharma
Jayadeva Jayadeva
Sumit Soman
AAML
11
1
0
03 Nov 2018
Convergence of the Deep BSDE Method for Coupled FBSDEs
Convergence of the Deep BSDE Method for Coupled FBSDEs
Jiequn Han
Jihao Long
13
156
0
03 Nov 2018
Scalable End-to-End Autonomous Vehicle Testing via Rare-event Simulation
Scalable End-to-End Autonomous Vehicle Testing via Rare-event Simulation
Matthew O'Kelly
Aman Sinha
Hongseok Namkoong
John C. Duchi
Russ Tedrake
11
213
0
31 Oct 2018
BCR-Net: a neural network based on the nonstandard wavelet form
BCR-Net: a neural network based on the nonstandard wavelet form
Yuwei Fan
Cindy Orozco Bohorquez
Lexing Ying
15
47
0
20 Oct 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
14
242
0
18 Oct 2018
Interpretable Convolutional Neural Networks via Feedforward Design
Interpretable Convolutional Neural Networks via Feedforward Design
C.-C. Jay Kuo
Min Zhang
Siyang Li
Jiali Duan
Yueru Chen
33
155
0
05 Oct 2018
Deep, Skinny Neural Networks are not Universal Approximators
Deep, Skinny Neural Networks are not Universal Approximators
Jesse Johnson
11
65
0
30 Sep 2018
Equivalence of approximation by convolutional neural networks and
  fully-connected networks
Equivalence of approximation by convolutional neural networks and fully-connected networks
P. Petersen
Felix Voigtländer
20
78
0
04 Sep 2018
A Quantum Many-body Wave Function Inspired Language Modeling Approach
A Quantum Many-body Wave Function Inspired Language Modeling Approach
Peng Zhang
Zhan Su
Lipeng Zhang
Benyou Wang
D. Song
19
43
0
28 Aug 2018
Wide Activation for Efficient and Accurate Image Super-Resolution
Wide Activation for Efficient and Accurate Image Super-Resolution
Jiahui Yu
Yuchen Fan
Jianchao Yang
N. Xu
Zhaowen Wang
Xinchao Wang
Thomas Huang
SupR
19
355
0
27 Aug 2018
Universal Approximation with Quadratic Deep Networks
Universal Approximation with Quadratic Deep Networks
Fenglei Fan
Jinjun Xiong
Ge Wang
PINN
36
78
0
31 Jul 2018
On decision regions of narrow deep neural networks
On decision regions of narrow deep neural networks
H. Beise
S. Cruz
Udo Schröder
MLT
16
16
0
03 Jul 2018
ResNet with one-neuron hidden layers is a Universal Approximator
ResNet with one-neuron hidden layers is a Universal Approximator
Hongzhou Lin
Stefanie Jegelka
41
227
0
28 Jun 2018
Como funciona o Deep Learning
Como funciona o Deep Learning
M. Ponti
G. B. P. D. Costa
31
13
0
20 Jun 2018
Learning One-hidden-layer ReLU Networks via Gradient Descent
Learning One-hidden-layer ReLU Networks via Gradient Descent
Xiao Zhang
Yaodong Yu
Lingxiao Wang
Quanquan Gu
MLT
28
134
0
20 Jun 2018
From probabilistic graphical models to generalized tensor networks for
  supervised learning
From probabilistic graphical models to generalized tensor networks for supervised learning
I. Glasser
Nicola Pancotti
J. I. Cirac
AI4CE
69
75
0
15 Jun 2018
Implicit regularization and solution uniqueness in over-parameterized
  matrix sensing
Implicit regularization and solution uniqueness in over-parameterized matrix sensing
Kelly Geyer
Anastasios Kyrillidis
A. Kalev
27
4
0
06 Jun 2018
Butterfly-Net: Optimal Function Representation Based on Convolutional
  Neural Networks
Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks
Yingzhou Li
Xiuyuan Cheng
Jianfeng Lu
21
23
0
18 May 2018
Mad Max: Affine Spline Insights into Deep Learning
Mad Max: Affine Spline Insights into Deep Learning
Randall Balestriero
Richard Baraniuk
AI4CE
31
78
0
17 May 2018
End-to-end Learning of a Convolutional Neural Network via Deep Tensor
  Decomposition
End-to-end Learning of a Convolutional Neural Network via Deep Tensor Decomposition
Samet Oymak
Mahdi Soltanolkotabi
21
12
0
16 May 2018
Large Field and High Resolution: Detecting Needle in Haystack
Large Field and High Resolution: Detecting Needle in Haystack
H. Gorodissky
Daniel Harari
S. Ullman
11
1
0
10 Apr 2018
Towards Quantum Machine Learning with Tensor Networks
Towards Quantum Machine Learning with Tensor Networks
W. Huggins
P. Patil
K. B. Whaley
E. Stoudenmire
25
341
0
30 Mar 2018
Quantum Entanglement in Deep Learning Architectures
Quantum Entanglement in Deep Learning Architectures
Yoav Levine
Or Sharir
Nadav Cohen
Amnon Shashua
42
182
0
26 Mar 2018
A high-bias, low-variance introduction to Machine Learning for
  physicists
A high-bias, low-variance introduction to Machine Learning for physicists
Pankaj Mehta
Marin Bukov
Ching-Hao Wang
A. G. Day
C. Richardson
Charles K. Fisher
D. Schwab
AI4CE
24
866
0
23 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
19
54
0
28 Feb 2018
Demystifying Parallel and Distributed Deep Learning: An In-Depth
  Concurrency Analysis
Demystifying Parallel and Distributed Deep Learning: An In-Depth Concurrency Analysis
Tal Ben-Nun
Torsten Hoefler
GNN
33
702
0
26 Feb 2018
Wide Compression: Tensor Ring Nets
Wide Compression: Tensor Ring Nets
Wenqi Wang
Yifan Sun
Brian Eriksson
Wenlin Wang
Vaneet Aggarwal
13
168
0
25 Feb 2018
Spurious Valleys in Two-layer Neural Network Optimization Landscapes
Spurious Valleys in Two-layer Neural Network Optimization Landscapes
Luca Venturi
Afonso S. Bandeira
Joan Bruna
32
74
0
18 Feb 2018
On the Blindspots of Convolutional Networks
On the Blindspots of Convolutional Networks
Elad Hoffer
Shai Fine
Daniel Soudry
BDL
19
4
0
14 Feb 2018
Information Scaling Law of Deep Neural Networks
Information Scaling Law of Deep Neural Networks
Xiao-Yang Liu
33
0
0
13 Feb 2018
Learning Relevant Features of Data with Multi-scale Tensor Networks
Learning Relevant Features of Data with Multi-scale Tensor Networks
Tayssir Doghri
25
137
0
31 Dec 2017
A Deep Learning Interpretable Classifier for Diabetic Retinopathy
  Disease Grading
A Deep Learning Interpretable Classifier for Diabetic Retinopathy Disease Grading
J. D. L. Torre
A. Valls
D. Puig
14
162
0
21 Dec 2017
BT-Nets: Simplifying Deep Neural Networks via Block Term Decomposition
BT-Nets: Simplifying Deep Neural Networks via Block Term Decomposition
Guangxi Li
Jinmian Ye
Haiqin Yang
Di Chen
Shuicheng Yan
Zenglin Xu
22
11
0
15 Dec 2017
Provably efficient neural network representation for image
  classification
Provably efficient neural network representation for image classification
Yichen Huang
27
4
0
13 Nov 2017
Learning Non-overlapping Convolutional Neural Networks with Multiple
  Kernels
Learning Non-overlapping Convolutional Neural Networks with Multiple Kernels
Kai Zhong
Zhao Song
Inderjit S. Dhillon
36
75
0
08 Nov 2017
Expressive power of recurrent neural networks
Expressive power of recurrent neural networks
Valentin Khrulkov
Alexander Novikov
Ivan Oseledets
21
112
0
02 Nov 2017
Long-term Forecasting using Higher Order Tensor RNNs
Long-term Forecasting using Higher Order Tensor RNNs
Rose Yu
Stephan Zheng
Anima Anandkumar
Yisong Yue
AI4TS
27
132
0
31 Oct 2017
Tensor network language model
Tensor network language model
V. Pestun
Yiannis Vlassopoulos
23
36
0
27 Oct 2017
On the Long-Term Memory of Deep Recurrent Networks
On the Long-Term Memory of Deep Recurrent Networks
Yoav Levine
Or Sharir
Alon Ziv
Amnon Shashua
15
24
0
25 Oct 2017
Machine Learning by Unitary Tensor Network of Hierarchical Tree
  Structure
Machine Learning by Unitary Tensor Network of Hierarchical Tree Structure
Ding Liu
Shi-Ju Ran
P. Wittek
C. Peng
R. García
G. Su
M. Lewenstein
14
131
0
13 Oct 2017
Sum-Product-Quotient Networks
Sum-Product-Quotient Networks
Or Sharir
Amnon Shashua
TPM
26
13
0
12 Oct 2017
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