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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
Lie Group Symmetry Discovery and Enforcement Using Vector Fields
Lie Group Symmetry Discovery and Enforcement Using Vector Fields
Ben Shaw
Sasidhar Kunapuli
Abram Magner
Kevin R. Moon
27
0
0
13 May 2025
Permutation Equivariant Neural Networks for Symmetric Tensors
Edward Pearce-Crump
50
0
0
14 Mar 2025
Rethinking Addressing in Language Models via Contexualized Equivariant Positional Encoding
Jiajun Zhu
Peihao Wang
Ruisi Cai
Jason D. Lee
Pan Li
Zhilin Wang
KELM
45
1
0
03 Jan 2025
Stability of sorting based embeddings
Stability of sorting based embeddings
Radu Balan
Efstratios Tsoukanis
Matthias Wellershoff
23
2
0
07 Oct 2024
Towards Better Generalization: Weight Decay Induces Low-rank Bias for
  Neural Networks
Towards Better Generalization: Weight Decay Induces Low-rank Bias for Neural Networks
Ke Chen
Chugang Yi
Haizhao Yang
MLT
21
0
0
03 Oct 2024
Variational Source-Channel Coding for Semantic Communication
Variational Source-Channel Coding for Semantic Communication
Yulong Feng
Jing Xu
Liujun Hu
Guanghui Yu
Xiangyang Duan
23
0
0
26 Sep 2024
Decomposition of Equivariant Maps via Invariant Maps: Application to
  Universal Approximation under Symmetry
Decomposition of Equivariant Maps via Invariant Maps: Application to Universal Approximation under Symmetry
Akiyoshi Sannai
Yuuki Takai
Matthieu Cordonnier
178
0
0
25 Sep 2024
Variational Inference Failures Under Model Symmetries: Permutation
  Invariant Posteriors for Bayesian Neural Networks
Variational Inference Failures Under Model Symmetries: Permutation Invariant Posteriors for Bayesian Neural Networks
Yoav Gelberg
Tycho F. A. van der Ouderaa
Mark van der Wilk
Y. Gal
AAML
37
4
0
10 Aug 2024
Scale Equivariant Graph Metanetworks
Scale Equivariant Graph Metanetworks
Ioannis Kalogeropoulos
Giorgos Bouritsas
Yannis Panagakis
44
6
0
15 Jun 2024
Separation Power of Equivariant Neural Networks
Separation Power of Equivariant Neural Networks
Marco Pacini
Xiaowen Dong
Bruno Lepri
G. Santin
31
0
0
13 Jun 2024
Equivariance via Minimal Frame Averaging for More Symmetries and
  Efficiency
Equivariance via Minimal Frame Averaging for More Symmetries and Efficiency
Yuchao Lin
Jacob Helwig
Shurui Gui
Shuiwang Ji
42
7
0
11 Jun 2024
Learning Long Range Dependencies on Graphs via Random Walks
Learning Long Range Dependencies on Graphs via Random Walks
Dexiong Chen
Till Hendrik Schulz
Karsten Borgwardt
34
2
0
05 Jun 2024
Learning equivariant tensor functions with applications to sparse vector
  recovery
Learning equivariant tensor functions with applications to sparse vector recovery
Wilson Gregory
Josué Tonelli-Cueto
Nicholas F. Marshall
Andrew S. Lee
Soledad Villar
39
1
0
03 Jun 2024
A Space Group Symmetry Informed Network for O(3) Equivariant Crystal
  Tensor Prediction
A Space Group Symmetry Informed Network for O(3) Equivariant Crystal Tensor Prediction
Keqiang Yan
Alexandra Saxton
Xiaofeng Qian
Xiaoning Qian
Shuiwang Ji
39
6
0
03 Jun 2024
Symmetries in Overparametrized Neural Networks: A Mean-Field View
Symmetries in Overparametrized Neural Networks: A Mean-Field View
Javier Maass Martínez
Joaquin Fontbona
FedML
MLT
50
2
0
30 May 2024
Equivariant Frames and the Impossibility of Continuous Canonicalization
Equivariant Frames and the Impossibility of Continuous Canonicalization
Nadav Dym
Hannah Lawrence
Jonathan W. Siegel
41
17
0
25 Feb 2024
A unified Fourier slice method to derive ridgelet transform for a
  variety of depth-2 neural networks
A unified Fourier slice method to derive ridgelet transform for a variety of depth-2 neural networks
Sho Sonoda
Isao Ishikawa
Masahiro Ikeda
41
4
0
25 Feb 2024
G-RepsNet: A Fast and General Construction of Equivariant Networks for
  Arbitrary Matrix Groups
G-RepsNet: A Fast and General Construction of Equivariant Networks for Arbitrary Matrix Groups
Sourya Basu
Suhas Lohit
Matthew Brand
42
0
0
23 Feb 2024
Which Frequencies do CNNs Need? Emergent Bottleneck Structure in Feature Learning
Which Frequencies do CNNs Need? Emergent Bottleneck Structure in Feature Learning
Yuxiao Wen
Arthur Jacot
58
6
0
12 Feb 2024
Approximation Rates and VC-Dimension Bounds for (P)ReLU MLP Mixture of
  Experts
Approximation Rates and VC-Dimension Bounds for (P)ReLU MLP Mixture of Experts
Anastasis Kratsios
Haitz Sáez de Ocáriz Borde
Takashi Furuya
Marc T. Law
MoE
41
1
0
05 Feb 2024
A Characterization Theorem for Equivariant Networks with Point-wise
  Activations
A Characterization Theorem for Equivariant Networks with Point-wise Activations
Marco Pacini
Xiaowen Dong
Bruno Lepri
G. Santin
44
2
0
17 Jan 2024
Neural Collapse for Cross-entropy Class-Imbalanced Learning with
  Unconstrained ReLU Feature Model
Neural Collapse for Cross-entropy Class-Imbalanced Learning with Unconstrained ReLU Feature Model
Hien Dang
Tho Tran
Tan Minh Nguyen
Nhat Ho
22
11
0
04 Jan 2024
Expressive Sign Equivariant Networks for Spectral Geometric Learning
Expressive Sign Equivariant Networks for Spectral Geometric Learning
Derek Lim
Joshua Robinson
Stefanie Jegelka
Haggai Maron
71
16
0
04 Dec 2023
Learning Polynomial Problems with $SL(2,\mathbb{R})$ Equivariance
Learning Polynomial Problems with SL(2,R)SL(2,\mathbb{R})SL(2,R) Equivariance
Hannah Lawrence
Mitchell Tong Harris
27
1
0
04 Dec 2023
Machine Learning for the identification of phase-transitions in
  interacting agent-based systems: a Desai-Zwanzig example
Machine Learning for the identification of phase-transitions in interacting agent-based systems: a Desai-Zwanzig example
N. Evangelou
Dimitrios G. Giovanis
George A. Kevrekidis
G. Pavliotis
Ioannis G. Kevrekidis
11
0
0
29 Oct 2023
Efficient Model-Agnostic Multi-Group Equivariant Networks
Efficient Model-Agnostic Multi-Group Equivariant Networks
Razan Baltaji
Sourya Basu
L. Varshney
32
1
0
14 Oct 2023
Improving Equivariance in State-of-the-Art Supervised Depth and Normal
  Predictors
Improving Equivariance in State-of-the-Art Supervised Depth and Normal Predictors
Yuanyi Zhong
Anand Bhattad
Yu-Xiong Wang
David Forsyth
MDE
26
2
0
28 Sep 2023
Neural approximation of Wasserstein distance via a universal
  architecture for symmetric and factorwise group invariant functions
Neural approximation of Wasserstein distance via a universal architecture for symmetric and factorwise group invariant functions
Samantha Chen
Yusu Wang
20
3
0
01 Aug 2023
Polynomial Width is Sufficient for Set Representation with
  High-dimensional Features
Polynomial Width is Sufficient for Set Representation with High-dimensional Features
Peihao Wang
Shenghao Yang
Shu Li
Zhangyang Wang
Pan Li
19
3
0
08 Jul 2023
Sumformer: Universal Approximation for Efficient Transformers
Sumformer: Universal Approximation for Efficient Transformers
Silas Alberti
Niclas Dern
L. Thesing
Gitta Kutyniok
19
16
0
05 Jul 2023
Learning Lie Group Symmetry Transformations with Neural Networks
Learning Lie Group Symmetry Transformations with Neural Networks
Alex Gabel
Victoria G Klein
Riccardo Valperga
J. Lamb
K. Webster
Rick Quax
E. Gavves
27
5
0
04 Jul 2023
Learning Probabilistic Symmetrization for Architecture Agnostic
  Equivariance
Learning Probabilistic Symmetrization for Architecture Agnostic Equivariance
Jinwoo Kim
Tien Dat Nguyen
Ayhan Suleymanzade
Hyeokjun An
Seunghoon Hong
50
23
0
05 Jun 2023
Universal approximation with complex-valued deep narrow neural networks
Universal approximation with complex-valued deep narrow neural networks
Paul Geuchen
Thomas Jahn
Hannes Matt
13
3
0
26 May 2023
Efficient Equivariant Transfer Learning from Pretrained Models
Efficient Equivariant Transfer Learning from Pretrained Models
Sourya Basu
Pulkit Katdare
P. Sattigeri
Vijil Chenthamarakshan
Katherine Driggs Campbell
Payel Das
L. Varshney
40
7
0
17 May 2023
FAENet: Frame Averaging Equivariant GNN for Materials Modeling
FAENet: Frame Averaging Equivariant GNN for Materials Modeling
Alexandre Duval
Victor Schmidt
A. Garcia
Santiago Miret
Fragkiskos D. Malliaros
Yoshua Bengio
David Rolnick
34
55
0
28 Apr 2023
The Exact Sample Complexity Gain from Invariances for Kernel Regression
The Exact Sample Complexity Gain from Invariances for Kernel Regression
B. Tahmasebi
Stefanie Jegelka
28
17
0
24 Mar 2023
Anti-symmetric Barron functions and their approximation with sums of
  determinants
Anti-symmetric Barron functions and their approximation with sums of determinants
Nilin Abrahamsen
Lin Lin
25
4
0
22 Mar 2023
A General Theory of Correct, Incorrect, and Extrinsic Equivariance
A General Theory of Correct, Incorrect, and Extrinsic Equivariance
Dian Wang
Xu Zhu
Jung Yeon Park
Mingxi Jia
Guanang Su
Robert W. Platt
Robin G. Walters
26
13
0
08 Mar 2023
A Brief Survey on the Approximation Theory for Sequence Modelling
A Brief Survey on the Approximation Theory for Sequence Modelling
Hao Jiang
Qianxiao Li
Zhong Li
Shida Wang
AI4TS
30
12
0
27 Feb 2023
Invariant Layers for Graphs with Nodes of Different Types
Invariant Layers for Graphs with Nodes of Different Types
Dmitry Rybin
Ruoyu Sun
Zhimin Luo
23
0
0
27 Feb 2023
Equivariant and Steerable Neural Networks: A review with special
  emphasis on the symmetric group
Equivariant and Steerable Neural Networks: A review with special emphasis on the symmetric group
Patrick Krüger
Hanno Gottschalk
21
1
0
08 Jan 2023
Invariance-Aware Randomized Smoothing Certificates
Invariance-Aware Randomized Smoothing Certificates
Jan Schuchardt
Stephan Günnemann
AAML
28
5
0
25 Nov 2022
On the Universal Approximation Property of Deep Fully Convolutional
  Neural Networks
On the Universal Approximation Property of Deep Fully Convolutional Neural Networks
Ting-Wei Lin
Zuowei Shen
Qianxiao Li
34
4
0
25 Nov 2022
Equivariance with Learned Canonicalization Functions
Equivariance with Learned Canonicalization Functions
Sekouba Kaba
Arnab Kumar Mondal
Yan Zhang
Yoshua Bengio
Siamak Ravanbakhsh
44
61
0
11 Nov 2022
On the Approximation and Complexity of Deep Neural Networks to Invariant
  Functions
On the Approximation and Complexity of Deep Neural Networks to Invariant Functions
Gao Zhang
Jin-Hui Wu
Shao-Qun Zhang
16
0
0
27 Oct 2022
A tradeoff between universality of equivariant models and learnability
  of symmetries
A tradeoff between universality of equivariant models and learnability of symmetries
Vasco Portilheiro
32
2
0
17 Oct 2022
Theory for Equivariant Quantum Neural Networks
Theory for Equivariant Quantum Neural Networks
Quynh T. Nguyen
Louis Schatzki
Paolo Braccia
Michael Ragone
Patrick J. Coles
F. Sauvage
Martín Larocca
M. Cerezo
37
88
0
16 Oct 2022
Equi-Tuning: Group Equivariant Fine-Tuning of Pretrained Models
Equi-Tuning: Group Equivariant Fine-Tuning of Pretrained Models
Sourya Basu
P. Sattigeri
K. Ramamurthy
Vijil Chenthamarakshan
Kush R. Varshney
L. Varshney
Payel Das
8
18
0
13 Oct 2022
Deep Invertible Approximation of Topologically Rich Maps between
  Manifolds
Deep Invertible Approximation of Topologically Rich Maps between Manifolds
Michael Puthawala
Matti Lassas
Ivan Dokmanić
Pekka Pankka
Maarten V. de Hoop
MedIm
26
0
0
02 Oct 2022
Machine learning and invariant theory
Machine learning and invariant theory
Ben Blum-Smith
Soledad Villar
AI4CE
33
16
0
29 Sep 2022
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