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Expressive power of recurrent neural networks

Expressive power of recurrent neural networks

2 November 2017
Valentin Khrulkov
Alexander Novikov
Ivan Oseledets
ArXivPDFHTML

Papers citing "Expressive power of recurrent neural networks"

26 / 26 papers shown
Title
The impact of allocation strategies in subset learning on the expressive power of neural networks
Ofir Schlisselberg
Ran Darshan
93
0
0
10 Feb 2025
A Tensor Decomposition Perspective on Second-order RNNs
A Tensor Decomposition Perspective on Second-order RNNs
M. Lizaire
Michael Rizvi-Martel
Marawan Gamal Abdel Hameed
Guillaume Rabusseau
55
0
0
07 Jun 2024
Quantized Fourier and Polynomial Features for more Expressive Tensor
  Network Models
Quantized Fourier and Polynomial Features for more Expressive Tensor Network Models
Frederiek Wesel
Kim Batselier
24
1
0
11 Sep 2023
On the Ability of Graph Neural Networks to Model Interactions Between
  Vertices
On the Ability of Graph Neural Networks to Model Interactions Between Vertices
Noam Razin
Tom Verbin
Nadav Cohen
23
10
0
29 Nov 2022
Error Analysis of Tensor-Train Cross Approximation
Error Analysis of Tensor-Train Cross Approximation
Zhen Qin
Alexander Lidiak
Zhexuan Gong
Gongguo Tang
M. Wakin
Zhihui Zhu
33
9
0
09 Jul 2022
Implicit Regularization in Hierarchical Tensor Factorization and Deep
  Convolutional Neural Networks
Implicit Regularization in Hierarchical Tensor Factorization and Deep Convolutional Neural Networks
Noam Razin
Asaf Maman
Nadav Cohen
49
29
0
27 Jan 2022
More Efficient Sampling for Tensor Decomposition With Worst-Case
  Guarantees
More Efficient Sampling for Tensor Decomposition With Worst-Case Guarantees
Osman Asif Malik
36
14
0
14 Oct 2021
Tensor-Train Density Estimation
Tensor-Train Density Estimation
Georgii Sergeevich Novikov
Maxim Panov
Ivan Oseledets
49
35
0
30 Jul 2021
Tensor-Train Recurrent Neural Networks for Interpretable Multi-Way
  Financial Forecasting
Tensor-Train Recurrent Neural Networks for Interpretable Multi-Way Financial Forecasting
Y. Xu
G. G. Calvi
Danilo P. Mandic
AI4TS
19
11
0
11 May 2021
Rank-R FNN: A Tensor-Based Learning Model for High-Order Data
  Classification
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
Residual Matrix Product State for Machine Learning
Residual Matrix Product State for Machine Learning
Ye Meng
Jing Zhang
Peng Zhang
Chao Gao
Shi-Ju Ran
36
12
0
22 Dec 2020
Expressivity of Deep Neural Networks
Expressivity of Deep Neural Networks
Ingo Gühring
Mones Raslan
Gitta Kutyniok
16
51
0
09 Jul 2020
Learning with tree tensor networks: complexity estimates and model
  selection
Learning with tree tensor networks: complexity estimates and model selection
Bertrand Michel
A. Nouy
8
14
0
02 Jul 2020
The Depth-to-Width Interplay in Self-Attention
The Depth-to-Width Interplay in Self-Attention
Yoav Levine
Noam Wies
Or Sharir
Hofit Bata
Amnon Shashua
30
45
0
22 Jun 2020
Supervised Learning for Non-Sequential Data: A Canonical Polyadic
  Decomposition Approach
Supervised Learning for Non-Sequential Data: A Canonical Polyadic Decomposition Approach
A. Haliassos
Kriton Konstantinidis
Danilo P. Mandic
29
1
0
27 Jan 2020
Optimal Function Approximation with Relu Neural Networks
Optimal Function Approximation with Relu Neural Networks
Bo Liu
Yi Liang
25
33
0
09 Sep 2019
Expressive power of tensor-network factorizations for probabilistic
  modeling, with applications from hidden Markov models to quantum machine
  learning
Expressive power of tensor-network factorizations for probabilistic modeling, with applications from hidden Markov models to quantum machine learning
I. Glasser
R. Sweke
Nicola Pancotti
Jens Eisert
J. I. Cirac
28
123
0
08 Jul 2019
Tucker Decomposition Network: Expressive Power and Comparison
Tucker Decomposition Network: Expressive Power and Comparison
Ye Liu
Junjun Pan
Michael K. Ng
24
1
0
23 May 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
Learning with tree-based tensor formats
Learning with tree-based tensor formats
Erwan Grelier
A. Nouy
M. Chevreuil
9
23
0
11 Nov 2018
Deep Compression of Sum-Product Networks on Tensor Networks
Deep Compression of Sum-Product Networks on Tensor Networks
Ching-Yun Ko
Cong Chen
Yuke Zhang
Kim Batselier
Ngai Wong
TPM
25
2
0
09 Nov 2018
On the Convergence Rate of Training Recurrent Neural Networks
On the Convergence Rate of Training Recurrent Neural Networks
Zeyuan Allen-Zhu
Yuanzhi Li
Zhao Song
29
191
0
29 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
Connecting Weighted Automata and Recurrent Neural Networks through
  Spectral Learning
Connecting Weighted Automata and Recurrent Neural Networks through Spectral Learning
Guillaume Rabusseau
Tianyu Li
Doina Precup
34
41
0
04 Jul 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
342
0
30 Mar 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
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