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1509.05009
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On the Expressive Power of Deep Learning: A Tensor Analysis
16 September 2015
Nadav Cohen
Or Sharir
Amnon Shashua
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Papers citing
"On the Expressive Power of Deep Learning: A Tensor Analysis"
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Title
A Simple Single-Scale Vision Transformer for Object Localization and Instance Segmentation
Wuyang Chen
Xianzhi Du
Fan Yang
Lucas Beyer
Xiaohua Zhai
...
Huizhong Chen
Jing Li
Xiaodan Song
Zhangyang Wang
Denny Zhou
ViT
29
20
0
17 Dec 2021
Neural Tangent Kernel of Matrix Product States: Convergence and Applications
Erdong Guo
D. Draper
17
2
0
28 Nov 2021
Error Bounds for a Matrix-Vector Product Approximation with Deep ReLU Neural Networks
T. Getu
27
2
0
25 Nov 2021
Neural networks with linear threshold activations: structure and algorithms
Sammy Khalife
Hongyu Cheng
A. Basu
42
14
0
15 Nov 2021
DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method
Zhongjian Wang
Jack Xin
Zhiwen Zhang
39
15
0
02 Nov 2021
Reinforcement Learning in Factored Action Spaces using Tensor Decompositions
Anuj Mahajan
Mikayel Samvelyan
Lei Mao
Viktor Makoviychuk
Animesh Garg
Jean Kossaifi
Shimon Whiteson
Yuke Zhu
Anima Anandkumar
27
9
0
27 Oct 2021
More Efficient Sampling for Tensor Decomposition With Worst-Case Guarantees
Osman Asif Malik
36
14
0
14 Oct 2021
Efficient Visual Recognition with Deep Neural Networks: A Survey on Recent Advances and New Directions
Yang Wu
Dingheng Wang
Xiaotong Lu
Fan Yang
Guoqi Li
W. Dong
Jianbo Shi
29
18
0
30 Aug 2021
Understanding and Accelerating Neural Architecture Search with Training-Free and Theory-Grounded Metrics
Wuyang Chen
Xinyu Gong
Junru Wu
Yunchao Wei
Humphrey Shi
Zhicheng Yan
Yi Yang
Zhangyang Wang
31
9
0
26 Aug 2021
Adaptive Group Lasso Neural Network Models for Functions of Few Variables and Time-Dependent Data
L. Ho
Nicholas Richardson
Giang Tran
20
3
0
24 Aug 2021
Tensor-Train Density Estimation
Georgii Sergeevich Novikov
Maxim Panov
Ivan Oseledets
49
35
0
30 Jul 2021
Statistically Meaningful Approximation: a Case Study on Approximating Turing Machines with Transformers
Colin Wei
Yining Chen
Tengyu Ma
21
88
0
28 Jul 2021
Neural Network Layer Algebra: A Framework to Measure Capacity and Compression in Deep Learning
Alberto Badías
A. Banerjee
12
3
0
02 Jul 2021
Probabilistic Graphical Models and Tensor Networks: A Hybrid Framework
Jacob Miller
Geoffrey Roeder
T. Bradley
21
6
0
29 Jun 2021
A Theory-Driven Self-Labeling Refinement Method for Contrastive Representation Learning
Pan Zhou
Caiming Xiong
Xiaotong Yuan
Guosheng Lin
SSL
22
12
0
28 Jun 2021
Tensor-based framework for training flexible neural networks
Yassine Zniyed
K. Usevich
S. Miron
D. Brie
27
1
0
25 Jun 2021
Bayesian Deep Learning Hyperparameter Search for Robust Function Mapping to Polynomials with Noise
Nidhin Harilal
Udit Bhatia
A. Ganguly
OOD
24
0
0
23 Jun 2021
Lower and Upper Bounds on the VC-Dimension of Tensor Network Models
Behnoush Khavari
Guillaume Rabusseau
10
2
0
22 Jun 2021
Marginalizable Density Models
D. Gilboa
Ari Pakman
Thibault Vatter
BDL
32
5
0
08 Jun 2021
Tesseract: Tensorised Actors for Multi-Agent Reinforcement Learning
Anuj Mahajan
Mikayel Samvelyan
Lei Mao
Viktor Makoviychuk
Animesh Garg
Jean Kossaifi
Shimon Whiteson
Yuke Zhu
Anima Anandkumar
26
32
0
31 May 2021
Patch Tracking-based Streaming Tensor Ring Completion for Visual Data Recovery
Yicong He
George Atia
27
9
0
30 May 2021
SpookyNet: Learning Force Fields with Electronic Degrees of Freedom and Nonlocal Effects
Oliver T. Unke
Stefan Chmiela
M. Gastegger
Kristof T. Schütt
H. E. Sauceda
K. Müller
177
247
0
01 May 2021
Towards Extremely Compact RNNs for Video Recognition with Fully Decomposed Hierarchical Tucker Structure
Miao Yin
Siyu Liao
Xiao-Yang Liu
Xiaodong Wang
Bo Yuan
AI4TS
30
31
0
12 Apr 2021
Rank-R FNN: A Tensor-Based Learning Model for High-Order Data Classification
Konstantinos Makantasis
Alexandros Georgogiannis
A. Voulodimos
Ioannis Georgoulas
Anastasios Doulamis
N. Doulamis
26
21
0
11 Apr 2021
Rethinking Spatial Dimensions of Vision Transformers
Byeongho Heo
Sangdoo Yun
Dongyoon Han
Sanghyuk Chun
Junsuk Choe
Seong Joon Oh
ViT
380
565
0
30 Mar 2021
Tensor Networks for Multi-Modal Non-Euclidean Data
Y. Xu
Kriton Konstantinidis
Danilo P. Mandic
16
1
0
27 Mar 2021
Tensor networks and efficient descriptions of classical data
Sirui Lu
Márton Kanász-Nagy
I. Kukuljan
J. I. Cirac
24
24
0
11 Mar 2021
Entangled q-Convolutional Neural Nets
V. Anagiannis
Miranda C. N. Cheng
16
5
0
06 Mar 2021
Deep ReLU Networks Preserve Expected Length
Boris Hanin
Ryan Jeong
David Rolnick
29
14
0
21 Feb 2021
Implicit Regularization in Tensor Factorization
Noam Razin
Asaf Maman
Nadav Cohen
33
48
0
19 Feb 2021
An end-to-end trainable hybrid classical-quantum classifier
Samuel Yen-Chi Chen
Chih-Min Huang
Chia-Wei Hsing
Y. Kao
18
70
0
04 Feb 2021
Depth separation beyond radial functions
Luca Venturi
Samy Jelassi
Tristan Ozuch
Joan Bruna
19
15
0
02 Feb 2021
TT-Rec: Tensor Train Compression for Deep Learning Recommendation Models
Chunxing Yin
Bilge Acun
Xing Liu
Carole-Jean Wu
50
102
0
25 Jan 2021
Convolutional Neural Nets in Chemical Engineering: Foundations, Computations, and Applications
Shengli Jiang
Victor M. Zavala
AI4CE
20
25
0
13 Jan 2021
A Convergence Theory Towards Practical Over-parameterized Deep Neural Networks
Asaf Noy
Yi Tian Xu
Y. Aflalo
Lihi Zelnik-Manor
Rong Jin
41
3
0
12 Jan 2021
Alternating linear scheme in a Bayesian framework for low-rank tensor approximation
Clara Menzen
Manon Kok
Kim Batselier
13
5
0
21 Dec 2020
Every Model Learned by Gradient Descent Is Approximately a Kernel Machine
Pedro M. Domingos
MLT
29
71
0
30 Nov 2020
Hybrid quantum-classical classifier based on tensor network and variational quantum circuit
Samuel Yen-Chi Chen
Chih-Min Huang
Chia-Wei Hsing
Y. Kao
38
49
0
30 Nov 2020
Wide-band butterfly network: stable and efficient inversion via multi-frequency neural networks
Matthew T.C. Li
L. Demanet
Leonardo Zepeda-Núnez
35
8
0
24 Nov 2020
Multi-Graph Tensor Networks
Yao Xu
Kriton Konstantinidis
Danilo P. Mandic
30
7
0
25 Oct 2020
Connecting Weighted Automata, Tensor Networks and Recurrent Neural Networks through Spectral Learning
Tianyu Li
Doina Precup
Guillaume Rabusseau
11
8
0
19 Oct 2020
Towards Reflectivity profile inversion through Artificial Neural Networks
J. M. Carmona Loaiza
Zamaan Raza
23
11
0
15 Oct 2020
Machine Learning Force Fields
Oliver T. Unke
Stefan Chmiela
H. E. Sauceda
M. Gastegger
I. Poltavsky
Kristof T. Schütt
A. Tkatchenko
K. Müller
AI4CE
34
888
0
14 Oct 2020
Locally orderless tensor networks for classifying two- and three-dimensional medical images
Raghavendra Selvan
S. Orting
Erik Dam
21
6
0
25 Sep 2020
Recurrent Graph Tensor Networks: A Low-Complexity Framework for Modelling High-Dimensional Multi-Way Sequence
Y. Xu
Danilo P. Mandic
GNN
20
4
0
18 Sep 2020
Towards Flexible Sparsity-Aware Modeling: Automatic Tensor Rank Learning Using The Generalized Hyperbolic Prior
Lei Cheng
Zhongtao Chen
Qingjiang Shi
Yik-Chung Wu
Sergios Theodoridis
6
29
0
05 Sep 2020
Error estimate for a universal function approximator of ReLU network with a local connection
Jaeyeon Kang
Sunghwan Moon
11
0
0
03 Sep 2020
When Hardness of Approximation Meets Hardness of Learning
Eran Malach
Shai Shalev-Shwartz
18
9
0
18 Aug 2020
Adaptive Learning of Tensor Network Structures
Meraj Hashemizadeh
M. Liu
Jacob Miller
Guillaume Rabusseau
14
8
0
12 Aug 2020
Reinforcement Learning-driven Information Seeking: A Quantum Probabilistic Approach
Amit Kumar Jaiswal
Haiming Liu
Ingo Frommholz
8
0
0
05 Aug 2020
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