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The Expressive Power of Neural Networks: A View from the Width

The Expressive Power of Neural Networks: A View from the Width

8 September 2017
Zhou Lu
Hongming Pu
Feicheng Wang
Zhiqiang Hu
Liwei Wang
ArXivPDFHTML

Papers citing "The Expressive Power of Neural Networks: A View from the Width"

50 / 138 papers shown
Title
Completely Quantum Neural Networks
Completely Quantum Neural Networks
Steve Abel
J. C. Criado
M. Spannowsky
25
25
0
23 Feb 2022
Training Thinner and Deeper Neural Networks: Jumpstart Regularization
Training Thinner and Deeper Neural Networks: Jumpstart Regularization
Carles Roger Riera Molina
Camilo Rey
Thiago Serra
Eloi Puertas
O. Pujol
27
4
0
30 Jan 2022
Early Detection of Network Attacks Using Deep Learning
Early Detection of Network Attacks Using Deep Learning
Tanwir Ahmad
D. Truscan
Juri Vain
Ivan Porres
AAML
19
17
0
27 Jan 2022
GPEX, A Framework For Interpreting Artificial Neural Networks
GPEX, A Framework For Interpreting Artificial Neural Networks
Amir Akbarnejad
G. Bigras
Nilanjan Ray
47
4
0
18 Dec 2021
Learning High-Dimensional Parametric Maps via Reduced Basis Adaptive
  Residual Networks
Learning High-Dimensional Parametric Maps via Reduced Basis Adaptive Residual Networks
Thomas O'Leary-Roseberry
Xiaosong Du
A. Chaudhuri
J. Martins
Karen E. Willcox
Omar Ghattas
30
22
0
14 Dec 2021
NN-LUT: Neural Approximation of Non-Linear Operations for Efficient
  Transformer Inference
NN-LUT: Neural Approximation of Non-Linear Operations for Efficient Transformer Inference
Joonsang Yu
Junki Park
Seongmin Park
Minsoo Kim
Sihwa Lee
Dong Hyun Lee
Jungwook Choi
35
50
0
03 Dec 2021
Reconstructing Nonlinear Dynamical Systems from Multi-Modal Time Series
Reconstructing Nonlinear Dynamical Systems from Multi-Modal Time Series
Daniel Kramer
P. Bommer
Carlo Tombolini
G. Koppe
Daniel Durstewitz
BDL
AI4TS
AI4CE
27
19
0
04 Nov 2021
Quantifying Epistemic Uncertainty in Deep Learning
Quantifying Epistemic Uncertainty in Deep Learning
Ziyi Huang
H. Lam
Haofeng Zhang
UQCV
BDL
UD
PER
24
12
0
23 Oct 2021
Fourier Neural Networks for Function Approximation
Fourier Neural Networks for Function Approximation
R. Subhash
K. Yaswanth
28
1
0
21 Oct 2021
Meta Internal Learning
Meta Internal Learning
Raphael Bensadoun
Shir Gur
Tomer Galanti
Lior Wolf
GAN
31
8
0
06 Oct 2021
Arbitrary-Depth Universal Approximation Theorems for Operator Neural
  Networks
Arbitrary-Depth Universal Approximation Theorems for Operator Neural Networks
Annan Yu
Chloe Becquey
Diana Halikias
Matthew Esmaili Mallory
Alex Townsend
59
8
0
23 Sep 2021
Robust Nonparametric Regression with Deep Neural Networks
Robust Nonparametric Regression with Deep Neural Networks
Guohao Shen
Yuling Jiao
Yuanyuan Lin
Jian Huang
OOD
33
13
0
21 Jul 2021
The Limitations of Large Width in Neural Networks: A Deep Gaussian
  Process Perspective
The Limitations of Large Width in Neural Networks: A Deep Gaussian Process Perspective
Geoff Pleiss
John P. Cunningham
28
24
0
11 Jun 2021
Relational Reasoning Networks
Relational Reasoning Networks
G. Marra
Michelangelo Diligenti
Francesco Giannini
NAI
32
4
0
01 Jun 2021
ReLU Deep Neural Networks from the Hierarchical Basis Perspective
ReLU Deep Neural Networks from the Hierarchical Basis Perspective
Juncai He
Lin Li
Jinchao Xu
AI4CE
28
30
0
10 May 2021
A Geometric Analysis of Neural Collapse with Unconstrained Features
A Geometric Analysis of Neural Collapse with Unconstrained Features
Zhihui Zhu
Tianyu Ding
Jinxin Zhou
Xiao Li
Chong You
Jeremias Sulam
Qing Qu
40
196
0
06 May 2021
SpookyNet: Learning Force Fields with Electronic Degrees of Freedom and
  Nonlocal Effects
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
248
0
01 May 2021
Deep limits and cut-off phenomena for neural networks
Deep limits and cut-off phenomena for neural networks
B. Avelin
A. Karlsson
AI4CE
38
2
0
21 Apr 2021
Causal Reasoning in Simulation for Structure and Transfer Learning of
  Robot Manipulation Policies
Causal Reasoning in Simulation for Structure and Transfer Learning of Robot Manipulation Policies
Timothy E. Lee
Jialiang Zhao
A. Sawhney
Siddharth Girdhar
Oliver Kroemer
CML
21
32
0
31 Mar 2021
Elvet -- a neural network-based differential equation and variational
  problem solver
Elvet -- a neural network-based differential equation and variational problem solver
Jack Y. Araz
J. C. Criado
M. Spannowsky
26
13
0
26 Mar 2021
JFB: Jacobian-Free Backpropagation for Implicit Networks
JFB: Jacobian-Free Backpropagation for Implicit Networks
Samy Wu Fung
Howard Heaton
Qiuwei Li
Daniel McKenzie
Stanley Osher
W. Yin
FedML
35
84
0
23 Mar 2021
Deep KKL: Data-driven Output Prediction for Non-Linear Systems
Deep KKL: Data-driven Output Prediction for Non-Linear Systems
Steeven Janny
V. Andrieu
Madiha Nadri Wolf
Christian Wolf
AI4TS
22
13
0
23 Mar 2021
Function approximation by deep neural networks with parameters $\{0,\pm
  \frac{1}{2}, \pm 1, 2\}$
Function approximation by deep neural networks with parameters {0,±12,±1,2}\{0,\pm \frac{1}{2}, \pm 1, 2\}{0,±21​,±1,2}
A. Beknazaryan
18
5
0
15 Mar 2021
Non-Asymptotic Performance Guarantees for Neural Estimation of
  $\mathsf{f}$-Divergences
Non-Asymptotic Performance Guarantees for Neural Estimation of f\mathsf{f}f-Divergences
Sreejith Sreekumar
Zhengxin Zhang
Ziv Goldfeld
FedML
32
17
0
11 Mar 2021
Optimal Approximation Rate of ReLU Networks in terms of Width and Depth
Optimal Approximation Rate of ReLU Networks in terms of Width and Depth
Zuowei Shen
Haizhao Yang
Shijun Zhang
103
115
0
28 Feb 2021
Training Larger Networks for Deep Reinforcement Learning
Training Larger Networks for Deep Reinforcement Learning
Keita Ota
Devesh K. Jha
Asako Kanezaki
OffRL
25
39
0
16 Feb 2021
Scaling Up Bayesian Uncertainty Quantification for Inverse Problems
  using Deep Neural Networks
Scaling Up Bayesian Uncertainty Quantification for Inverse Problems using Deep Neural Networks
Shiwei Lan
Shuyi Li
Babak Shahbaba
UQCV
BDL
25
16
0
11 Jan 2021
Advances in Electron Microscopy with Deep Learning
Advances in Electron Microscopy with Deep Learning
Jeffrey M. Ede
37
2
0
04 Jan 2021
Convex Potential Flows: Universal Probability Distributions with Optimal
  Transport and Convex Optimization
Convex Potential Flows: Universal Probability Distributions with Optimal Transport and Convex Optimization
Chin-Wei Huang
Ricky T. Q. Chen
Christos Tsirigotis
Aaron Courville
OT
119
95
0
10 Dec 2020
The universal approximation theorem for complex-valued neural networks
The universal approximation theorem for complex-valued neural networks
F. Voigtlaender
27
62
0
06 Dec 2020
On the application of Physically-Guided Neural Networks with Internal
  Variables to Continuum Problems
On the application of Physically-Guided Neural Networks with Internal Variables to Continuum Problems
J. Ayensa-Jiménez
M. H. Doweidar
J. A. Sanz-Herrera
Manuel Doblaré
24
1
0
23 Nov 2020
Rethinking the Value of Transformer Components
Rethinking the Value of Transformer Components
Wenxuan Wang
Zhaopeng Tu
11
38
0
07 Nov 2020
A Perspective on Machine Learning Methods in Turbulence Modelling
A Perspective on Machine Learning Methods in Turbulence Modelling
Andrea Beck
Marius Kurz
AI4CE
47
101
0
23 Oct 2020
Learning to Embed Categorical Features without Embedding Tables for
  Recommendation
Learning to Embed Categorical Features without Embedding Tables for Recommendation
Wang-Cheng Kang
D. Cheng
Tiansheng Yao
Xinyang Yi
Ting-Li Chen
Lichan Hong
Ed H. Chi
LMTD
CML
DML
50
68
0
21 Oct 2020
Towards Reflectivity profile inversion through Artificial Neural
  Networks
Towards Reflectivity profile inversion through Artificial Neural Networks
J. M. Carmona Loaiza
Zamaan Raza
29
11
0
15 Oct 2020
Machine Learning Force Fields
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
Prediction intervals for Deep Neural Networks
Prediction intervals for Deep Neural Networks
Tullio Mancini
Hector F. Calvo-Pardo
Jose Olmo
UQCV
OOD
25
4
0
08 Oct 2020
The Traveling Observer Model: Multi-task Learning Through Spatial
  Variable Embeddings
The Traveling Observer Model: Multi-task Learning Through Spatial Variable Embeddings
Elliot Meyerson
Risto Miikkulainen
21
12
0
05 Oct 2020
Review: Deep Learning in Electron Microscopy
Review: Deep Learning in Electron Microscopy
Jeffrey M. Ede
36
79
0
17 Sep 2020
Malicious Network Traffic Detection via Deep Learning: An Information
  Theoretic View
Malicious Network Traffic Detection via Deep Learning: An Information Theoretic View
Erick Galinkin
AAML
15
0
0
16 Sep 2020
Unnormalized Variational Bayes
Unnormalized Variational Bayes
Saeed Saremi
BDL
86
1
0
29 Jul 2020
Multi-Task Learning for Multi-Dimensional Regression: Application to
  Luminescence Sensing
Multi-Task Learning for Multi-Dimensional Regression: Application to Luminescence Sensing
Umberto
Umberto Michelucci
F. Venturini
AI4CE
21
19
0
27 Jul 2020
Learnable Descent Algorithm for Nonsmooth Nonconvex Image Reconstruction
Learnable Descent Algorithm for Nonsmooth Nonconvex Image Reconstruction
Yunmei Chen
Hongcheng Liu
X. Ye
Qingchao Zhang
56
23
0
22 Jul 2020
Expressivity of Deep Neural Networks
Expressivity of Deep Neural Networks
Ingo Gühring
Mones Raslan
Gitta Kutyniok
16
51
0
09 Jul 2020
Predicting First Passage Percolation Shapes Using Neural Networks
Predicting First Passage Percolation Shapes Using Neural Networks
Sebastian Rosengren
AI4CE
14
0
0
24 Jun 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
Minimum Width for Universal Approximation
Minimum Width for Universal Approximation
Sejun Park
Chulhee Yun
Jaeho Lee
Jinwoo Shin
35
122
0
16 Jun 2020
Scalable Partial Explainability in Neural Networks via Flexible
  Activation Functions
Scalable Partial Explainability in Neural Networks via Flexible Activation Functions
S. Sun
Chen Li
Zhuangkun Wei
Antonios Tsourdos
Weisi Guo
FAtt
32
2
0
10 Jun 2020
Learning Efficient Representations of Mouse Movements to Predict User
  Attention
Learning Efficient Representations of Mouse Movements to Predict User Attention
Ioannis Arapakis
Luis A. Leiva
HAI
19
26
0
30 May 2020
How hard is to distinguish graphs with graph neural networks?
How hard is to distinguish graphs with graph neural networks?
Andreas Loukas
GNN
25
6
0
13 May 2020
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