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Universal approximations of invariant maps by neural networks

Universal approximations of invariant maps by neural networks

26 April 2018
Dmitry Yarotsky
ArXivPDFHTML

Papers citing "Universal approximations of invariant maps by neural networks"

50 / 134 papers shown
Title
Neural Network Approximation of Continuous Functions in High Dimensions
  with Applications to Inverse Problems
Neural Network Approximation of Continuous Functions in High Dimensions with Applications to Inverse Problems
Santhosh Karnik
Rongrong Wang
M. Iwen
14
2
0
28 Aug 2022
Deep Neural Network Approximation of Invariant Functions through
  Dynamical Systems
Deep Neural Network Approximation of Invariant Functions through Dynamical Systems
Qianxiao Li
T. Lin
Zuowei Shen
21
6
0
18 Aug 2022
On Non-Linear operators for Geometric Deep Learning
On Non-Linear operators for Geometric Deep Learning
G. Sergeant-Perthuis
Jakob Maier
Joan Bruna
Edouard Oyallon
19
5
0
06 Jul 2022
Offset equivariant networks and their applications
Offset equivariant networks and their applications
Marco Cotogni
C. Cusano
24
7
0
01 Jul 2022
Discretization Invariant Networks for Learning Maps between Neural
  Fields
Discretization Invariant Networks for Learning Maps between Neural Fields
Clinton Jia Wang
Polina Golland
30
0
0
02 Jun 2022
Universality of Group Convolutional Neural Networks Based on Ridgelet
  Analysis on Groups
Universality of Group Convolutional Neural Networks Based on Ridgelet Analysis on Groups
Sho Sonoda
Isao Ishikawa
Masahiro Ikeda
30
9
0
30 May 2022
Efficient anti-symmetrization of a neural network layer by taming the
  sign problem
Efficient anti-symmetrization of a neural network layer by taming the sign problem
Nilin Abrahamsen
Lin Lin
23
0
0
24 May 2022
Predicting Human Psychometric Properties Using Computational Language
  Models
Predicting Human Psychometric Properties Using Computational Language Models
Antonio Laverghetta
Animesh Nighojkar
Jamshidbek Mirzakhalov
John Licato
22
7
0
12 May 2022
Analysis of convolutional neural network image classifiers in a
  rotationally symmetric model
Analysis of convolutional neural network image classifiers in a rotationally symmetric model
Michael Kohler
Benjamin Kohler
15
5
0
11 May 2022
Low Dimensional Invariant Embeddings for Universal Geometric Learning
Low Dimensional Invariant Embeddings for Universal Geometric Learning
Nadav Dym
S. Gortler
26
39
0
05 May 2022
Design equivariant neural networks for 3D point cloud
Design equivariant neural networks for 3D point cloud
Thuan Trang
Thieu N. Vo
K. Nguyen
3DPC
19
0
0
02 May 2022
Do ReLU Networks Have An Edge When Approximating Compactly-Supported
  Functions?
Do ReLU Networks Have An Edge When Approximating Compactly-Supported Functions?
Anastasis Kratsios
Behnoosh Zamanlooy
MLT
67
3
0
24 Apr 2022
Theory of Graph Neural Networks: Representation and Learning
Theory of Graph Neural Networks: Representation and Learning
Stefanie Jegelka
GNN
AI4CE
33
68
0
16 Apr 2022
Permutation Invariant Representations with Applications to Graph Deep
  Learning
Permutation Invariant Representations with Applications to Graph Deep Learning
R. Balan
Naveed Haghani
M. Singh
23
25
0
14 Mar 2022
Symmetry Group Equivariant Architectures for Physics
Symmetry Group Equivariant Architectures for Physics
A. Bogatskiy
S. Ganguly
Thomas Kipf
Risi Kondor
David W. Miller
...
Jan T. Offermann
M. Pettee
P. Shanahan
C. Shimmin
S. Thais
AI4CE
24
27
0
11 Mar 2022
A Simple and Universal Rotation Equivariant Point-cloud Network
A Simple and Universal Rotation Equivariant Point-cloud Network
Ben Finkelshtein
Chaim Baskin
Haggai Maron
Nadav Dym
3DPC
32
13
0
02 Mar 2022
Segmentation by Test-Time Optimization (TTO) for CBCT-based Adaptive
  Radiation Therapy
Segmentation by Test-Time Optimization (TTO) for CBCT-based Adaptive Radiation Therapy
Xiao Liang
J. Chun
H. Morgan
T. Bai
D. Nguyen
Justin C. Park
Steve B. Jiang
12
8
0
08 Feb 2022
Rates of convergence for nonparametric estimation of singular
  distributions using generative adversarial networks
Rates of convergence for nonparametric estimation of singular distributions using generative adversarial networks
Minwoo Chae
GAN
32
4
0
07 Feb 2022
UQGAN: A Unified Model for Uncertainty Quantification of Deep
  Classifiers trained via Conditional GANs
UQGAN: A Unified Model for Uncertainty Quantification of Deep Classifiers trained via Conditional GANs
Philipp Oberdiek
G. Fink
Matthias Rottmann
OODD
32
14
0
31 Jan 2022
Rigidity Preserving Image Transformations and Equivariance in
  Perspective
Rigidity Preserving Image Transformations and Equivariance in Perspective
Lucas Brynte
Georg Bökman
Axel Flinth
Fredrik Kahl
37
3
0
31 Jan 2022
CNN-based regularisation for CT image reconstructions
CNN-based regularisation for CT image reconstructions
Attila Juhos
MedIm
11
0
0
22 Jan 2022
Weisfeiler and Leman go Machine Learning: The Story so far
Weisfeiler and Leman go Machine Learning: The Story so far
Christopher Morris
Y. Lipman
Haggai Maron
Bastian Alexander Rieck
Nils M. Kriege
Martin Grohe
Matthias Fey
Karsten M. Borgwardt
GNN
43
111
0
18 Dec 2021
Frame Averaging for Equivariant Shape Space Learning
Frame Averaging for Equivariant Shape Space Learning
Matan Atzmon
Koki Nagano
Sanja Fidler
S. Khamis
Y. Lipman
FedML
33
13
0
03 Dec 2021
ZZ-Net: A Universal Rotation Equivariant Architecture for 2D Point
  Clouds
ZZ-Net: A Universal Rotation Equivariant Architecture for 2D Point Clouds
Georg Bökman
Fredrik Kahl
Axel Flinth
3DPC
26
19
0
30 Nov 2021
Equivariant and Invariant Reynolds Networks
Equivariant and Invariant Reynolds Networks
Akiyoshi Sannai
M. Kawano
Wataru Kumagai
43
5
0
15 Oct 2021
Capacity of Group-invariant Linear Readouts from Equivariant
  Representations: How Many Objects can be Linearly Classified Under All
  Possible Views?
Capacity of Group-invariant Linear Readouts from Equivariant Representations: How Many Objects can be Linearly Classified Under All Possible Views?
M. Farrell
Blake Bordelon
Shubhendu Trivedi
C. Pehlevan
18
5
0
14 Oct 2021
Implicit Bias of Linear Equivariant Networks
Implicit Bias of Linear Equivariant Networks
Hannah Lawrence
Kristian Georgiev
A. Dienes
B. Kiani
AI4CE
37
14
0
12 Oct 2021
Convergence of Deep Convolutional Neural Networks
Convergence of Deep Convolutional Neural Networks
Yuesheng Xu
Haizhang Zhang
MLT
40
44
0
28 Sep 2021
Pointspectrum: Equivariance Meets Laplacian Filtering for Graph
  Representation Learning
Pointspectrum: Equivariance Meets Laplacian Filtering for Graph Representation Learning
Marinos Poiitis
Pavlos Sermpezis
Athena Vakali
28
0
0
06 Sep 2021
Statistically Meaningful Approximation: a Case Study on Approximating
  Turing Machines with Transformers
Statistically Meaningful Approximation: a Case Study on Approximating Turing Machines with Transformers
Colin Wei
Yining Chen
Tengyu Ma
21
87
0
28 Jul 2021
A Bayesian Approach to Invariant Deep Neural Networks
A Bayesian Approach to Invariant Deep Neural Networks
Nikolaos Mourdoukoutas
Marco Federici
G. Pantalos
Mark van der Wilk
Vincent Fortuin
BDL
UQCV
21
0
0
20 Jul 2021
Universal approximation and model compression for radial neural networks
Universal approximation and model compression for radial neural networks
I. Ganev
Twan van Laarhoven
Robin G. Walters
19
8
0
06 Jul 2021
Universal Approximation of Functions on Sets
Universal Approximation of Functions on Sets
E. Wagstaff
F. Fuchs
Martin Engelcke
Michael A. Osborne
Ingmar Posner
PINN
32
54
0
05 Jul 2021
Scalars are universal: Equivariant machine learning, structured like
  classical physics
Scalars are universal: Equivariant machine learning, structured like classical physics
Soledad Villar
D. Hogg
Kate Storey-Fisher
Weichi Yao
Ben Blum-Smith
PINN
AI4CE
24
130
0
11 Jun 2021
Provably Strict Generalisation Benefit for Invariance in Kernel Methods
Provably Strict Generalisation Benefit for Invariance in Kernel Methods
Bryn Elesedy
22
27
0
04 Jun 2021
GemNet: Universal Directional Graph Neural Networks for Molecules
GemNet: Universal Directional Graph Neural Networks for Molecules
Johannes Klicpera
Florian Becker
Stephan Günnemann
AI4CE
33
434
0
02 Jun 2021
Analysis of convolutional neural network image classifiers in a
  hierarchical max-pooling model with additional local pooling
Analysis of convolutional neural network image classifiers in a hierarchical max-pooling model with additional local pooling
Benjamin Walter
FAtt
4
15
0
31 May 2021
Invariant polynomials and machine learning
Invariant polynomials and machine learning
W. Haddadin
34
7
0
26 Apr 2021
Neural Networks for Learning Counterfactual G-Invariances from Single
  Environments
Neural Networks for Learning Counterfactual G-Invariances from Single Environments
S Chandra Mouli
Bruno Ribeiro
OOD
29
11
0
20 Apr 2021
Provably Strict Generalisation Benefit for Equivariant Models
Provably Strict Generalisation Benefit for Equivariant Models
Bryn Elesedy
Sheheryar Zaidi
AI4CE
16
83
0
20 Feb 2021
The Gaussian Neural Process
The Gaussian Neural Process
W. Bruinsma
James Requeima
Andrew Y. K. Foong
Jonathan Gordon
Richard Turner
BDL
17
28
0
10 Jan 2021
Universal Approximation Theorem for Equivariant Maps by Group CNNs
Universal Approximation Theorem for Equivariant Maps by Group CNNs
Wataru Kumagai
Akiyoshi Sannai
61
13
0
27 Dec 2020
A New Neural Network Architecture Invariant to the Action of Symmetry
  Subgroups
A New Neural Network Architecture Invariant to the Action of Symmetry Subgroups
Piotr Kicki
Mete Ozay
Piotr Skrzypczyñski
17
1
0
11 Dec 2020
The universal approximation theorem for complex-valued neural networks
The universal approximation theorem for complex-valued neural networks
F. Voigtlaender
24
62
0
06 Dec 2020
Deep Spectral CNN for Laser Induced Breakdown Spectroscopy
Deep Spectral CNN for Laser Induced Breakdown Spectroscopy
Juan Castorena
Diane Oyen
A. Ollila
Carey Legget
N. Lanza
9
35
0
03 Dec 2020
Statistical theory for image classification using deep convolutional
  neural networks with cross-entropy loss under the hierarchical max-pooling
  model
Statistical theory for image classification using deep convolutional neural networks with cross-entropy loss under the hierarchical max-pooling model
Michael Kohler
S. Langer
15
17
0
27 Nov 2020
A Convenient Infinite Dimensional Framework for Generative Adversarial
  Learning
A Convenient Infinite Dimensional Framework for Generative Adversarial Learning
H. Asatryan
Hanno Gottschalk
Marieke Lippert
Matthias Rottmann
GAN
19
10
0
24 Nov 2020
Learning Sub-Patterns in Piecewise Continuous Functions
Learning Sub-Patterns in Piecewise Continuous Functions
Anastasis Kratsios
Behnoosh Zamanlooy
14
10
0
29 Oct 2020
On the Universality of Rotation Equivariant Point Cloud Networks
On the Universality of Rotation Equivariant Point Cloud Networks
Nadav Dym
Haggai Maron
3DPC
27
78
0
06 Oct 2020
A Functional Perspective on Learning Symmetric Functions with Neural
  Networks
A Functional Perspective on Learning Symmetric Functions with Neural Networks
Aaron Zweig
Joan Bruna
6
21
0
16 Aug 2020
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