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What graph neural networks cannot learn: depth vs width

What graph neural networks cannot learn: depth vs width

6 July 2019
Andreas Loukas
    GNN
ArXivPDFHTML

Papers citing "What graph neural networks cannot learn: depth vs width"

50 / 64 papers shown
Title
Towards Invariance to Node Identifiers in Graph Neural Networks
Towards Invariance to Node Identifiers in Graph Neural Networks
Maya Bechler-Speicher
Moshe Eliasof
Carola-Bibiane Schönlieb
Ran Gilad-Bachrach
Amir Globerson
65
1
0
20 Feb 2025
Mesh-Informed Reduced Order Models for Aneurysm Rupture Risk Prediction
Mesh-Informed Reduced Order Models for Aneurysm Rupture Risk Prediction
Giuseppe Alessio DÍnverno
Saeid Moradizadeh
Sajad Salavatidezfouli
Pasquale Claudio Africa
G. Rozza
AI4CE
38
0
0
04 Oct 2024
Revisiting Random Walks for Learning on Graphs
Revisiting Random Walks for Learning on Graphs
Jinwoo Kim
Olga Zaghen
Ayhan Suleymanzade
Youngmin Ryou
Seunghoon Hong
59
0
0
01 Jul 2024
Lightweight Spatial Modeling for Combinatorial Information Extraction
  From Documents
Lightweight Spatial Modeling for Combinatorial Information Extraction From Documents
Yanfei Dong
Lambert Deng
Jiazheng Zhang
Xiaodong Yu
Ting Lin
Francesco Gelli
Soujanya Poria
W. Lee
40
0
0
08 May 2024
A Short Review on Novel Approaches for Maximum Clique Problem: from
  Classical algorithms to Graph Neural Networks and Quantum algorithms
A Short Review on Novel Approaches for Maximum Clique Problem: from Classical algorithms to Graph Neural Networks and Quantum algorithms
Raffaele Marino
L. Buffoni
Bogdan Zavalnij
GNN
40
5
0
13 Mar 2024
Isomorphic-Consistent Variational Graph Auto-Encoders for Multi-Level
  Graph Representation Learning
Isomorphic-Consistent Variational Graph Auto-Encoders for Multi-Level Graph Representation Learning
Hanxuan Yang
Qingchao Kong
Wenji Mao
BDL
20
0
0
09 Dec 2023
Going beyond persistent homology using persistent homology
Going beyond persistent homology using persistent homology
Johanna Immonen
Amauri H. Souza
Vikas K. Garg
36
9
0
10 Nov 2023
The Expressive Power of Graph Neural Networks: A Survey
The Expressive Power of Graph Neural Networks: A Survey
Bingxue Zhang
Changjun Fan
Shixuan Liu
Kuihua Huang
Xiang Zhao
Jin-Yu Huang
Zhong Liu
40
19
0
16 Aug 2023
Weisfeiler and Leman Go Measurement Modeling: Probing the Validity of
  the WL Test
Weisfeiler and Leman Go Measurement Modeling: Probing the Validity of the WL Test
Arjun Subramonian
Adina Williams
Maximilian Nickel
Yizhou Sun
Levent Sagun
28
0
0
11 Jul 2023
Graph Inductive Biases in Transformers without Message Passing
Graph Inductive Biases in Transformers without Message Passing
Liheng Ma
Chen Lin
Derek Lim
Adriana Romero Soriano
P. Dokania
Mark J. Coates
Philip H. S. Torr
Ser-Nam Lim
AI4CE
31
85
0
27 May 2023
Descriptive complexity for distributed computing with circuits
Descriptive complexity for distributed computing with circuits
Veeti Ahvonen
Damian Heiman
L. Hella
Antti Kuusisto
24
4
0
08 Mar 2023
Equivariant Polynomials for Graph Neural Networks
Equivariant Polynomials for Graph Neural Networks
Omri Puny
Derek Lim
B. Kiani
Haggai Maron
Y. Lipman
28
31
0
22 Feb 2023
Graph Neural Networks can Recover the Hidden Features Solely from the
  Graph Structure
Graph Neural Networks can Recover the Hidden Features Solely from the Graph Structure
Ryoma Sato
34
5
0
26 Jan 2023
Everything is Connected: Graph Neural Networks
Everything is Connected: Graph Neural Networks
Petar Velickovic
GNN
AI4CE
22
179
0
19 Jan 2023
A Generalization of ViT/MLP-Mixer to Graphs
A Generalization of ViT/MLP-Mixer to Graphs
Xiaoxin He
Bryan Hooi
T. Laurent
Adam Perold
Yann LeCun
Xavier Bresson
47
88
0
27 Dec 2022
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
Exponentially Improving the Complexity of Simulating the
  Weisfeiler-Lehman Test with Graph Neural Networks
Exponentially Improving the Complexity of Simulating the Weisfeiler-Lehman Test with Graph Neural Networks
Anders Aamand
Justin Y. Chen
Piotr Indyk
Shyam Narayanan
R. Rubinfeld
Nicholas Schiefer
Sandeep Silwal
Tal Wagner
39
21
0
06 Nov 2022
Boosting the Cycle Counting Power of Graph Neural Networks with
  I$^2$-GNNs
Boosting the Cycle Counting Power of Graph Neural Networks with I2^22-GNNs
Yinan Huang
Xingang Peng
Jianzhu Ma
Muhan Zhang
84
47
0
22 Oct 2022
On Classification Thresholds for Graph Attention with Edge Features
On Classification Thresholds for Graph Attention with Edge Features
K. Fountoulakis
Dake He
Silvio Lattanzi
Bryan Perozzi
Anton Tsitsulin
Shenghao Yang
GNN
30
6
0
18 Oct 2022
Weisfeiler-Lehman goes Dynamic: An Analysis of the Expressive Power of
  Graph Neural Networks for Attributed and Dynamic Graphs
Weisfeiler-Lehman goes Dynamic: An Analysis of the Expressive Power of Graph Neural Networks for Attributed and Dynamic Graphs
Silvia Beddar-Wiesing
Giuseppe Alessio D’Inverno
C. Graziani
Veronica Lachi
Alice Moallemy-Oureh
F. Scarselli
J. M. Thomas
31
9
0
08 Oct 2022
Provably expressive temporal graph networks
Provably expressive temporal graph networks
Amauri Souza
Diego Mesquita
Samuel Kaski
Vikas K. Garg
89
54
0
29 Sep 2022
On Representing Linear Programs by Graph Neural Networks
On Representing Linear Programs by Graph Neural Networks
Ziang Chen
Jialin Liu
Xinshang Wang
Jian Lu
W. Yin
AI4CE
60
31
0
25 Sep 2022
On the Privacy Risks of Cell-Based NAS Architectures
On the Privacy Risks of Cell-Based NAS Architectures
Haiping Huang
Zhikun Zhang
Yun Shen
Michael Backes
Qi Li
Yang Zhang
27
7
0
04 Sep 2022
Agent-based Graph Neural Networks
Agent-based Graph Neural Networks
Karolis Martinkus
Pál András Papp
Benedikt Schesch
Roger Wattenhofer
LLMAG
GNN
29
17
0
22 Jun 2022
Universally Expressive Communication in Multi-Agent Reinforcement
  Learning
Universally Expressive Communication in Multi-Agent Reinforcement Learning
Matthew Morris
Thomas D. Barrett
Arnu Pretorius
24
4
0
14 Jun 2022
Shortest Path Networks for Graph Property Prediction
Shortest Path Networks for Graph Property Prediction
Ralph Abboud
Radoslav Dimitrov
.Ismail .Ilkan Ceylan
GNN
27
45
0
02 Jun 2022
Recipe for a General, Powerful, Scalable Graph Transformer
Recipe for a General, Powerful, Scalable Graph Transformer
Ladislav Rampášek
Mikhail Galkin
Vijay Prakash Dwivedi
A. Luu
Guy Wolf
Dominique Beaini
57
514
0
25 May 2022
Not too little, not too much: a theoretical analysis of graph
  (over)smoothing
Not too little, not too much: a theoretical analysis of graph (over)smoothing
Nicolas Keriven
38
88
0
24 May 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
Graph Neural Networks for Wireless Communications: From Theory to
  Practice
Graph Neural Networks for Wireless Communications: From Theory to Practice
Yifei Shen
Jun Zhang
Shenghui Song
Khaled B. Letaief
GNN
AI4CE
25
110
0
21 Mar 2022
Benchmarking Graphormer on Large-Scale Molecular Modeling Datasets
Benchmarking Graphormer on Large-Scale Molecular Modeling Datasets
Yu Shi
Shuxin Zheng
Guolin Ke
Yifei Shen
Jiacheng You
Jiyan He
Shengjie Luo
Chang-Shu Liu
Di He
Tie-Yan Liu
AI4CE
42
65
0
09 Mar 2022
A Theoretical Comparison of Graph Neural Network Extensions
A Theoretical Comparison of Graph Neural Network Extensions
Pál András Papp
Roger Wattenhofer
100
46
0
30 Jan 2022
A Short Tutorial on The Weisfeiler-Lehman Test And Its Variants
A Short Tutorial on The Weisfeiler-Lehman Test And Its Variants
Ningyuan Huang
Soledad Villar
24
62
0
18 Jan 2022
Equivariant Quantum Graph Circuits
Equivariant Quantum Graph Circuits
Péter Mernyei
K. Meichanetzidis
.Ismail .Ilkan Ceylan
36
8
0
10 Dec 2021
OOD-GNN: Out-of-Distribution Generalized Graph Neural Network
OOD-GNN: Out-of-Distribution Generalized Graph Neural Network
Haoyang Li
Xin Wang
Ziwei Zhang
Wenwu Zhu
OODD
OOD
26
97
0
07 Dec 2021
Learning Connectivity with Graph Convolutional Networks for
  Skeleton-based Action Recognition
Learning Connectivity with Graph Convolutional Networks for Skeleton-based Action Recognition
H. Sahbi
GNN
23
27
0
06 Dec 2021
DropGNN: Random Dropouts Increase the Expressiveness of Graph Neural
  Networks
DropGNN: Random Dropouts Increase the Expressiveness of Graph Neural Networks
Pál András Papp
Karolis Martinkus
Lukas Faber
Roger Wattenhofer
GNN
22
138
0
11 Nov 2021
On Provable Benefits of Depth in Training Graph Convolutional Networks
On Provable Benefits of Depth in Training Graph Convolutional Networks
Weilin Cong
M. Ramezani
M. Mahdavi
24
73
0
28 Oct 2021
VQ-GNN: A Universal Framework to Scale up Graph Neural Networks using
  Vector Quantization
VQ-GNN: A Universal Framework to Scale up Graph Neural Networks using Vector Quantization
Mucong Ding
Kezhi Kong
Jingling Li
Chen Zhu
John P. Dickerson
Furong Huang
Tom Goldstein
GNN
MQ
33
47
0
27 Oct 2021
From Stars to Subgraphs: Uplifting Any GNN with Local Structure
  Awareness
From Stars to Subgraphs: Uplifting Any GNN with Local Structure Awareness
Lingxiao Zhao
Wei Jin
L. Akoglu
Neil Shah
GNN
24
160
0
07 Oct 2021
Equivariant Subgraph Aggregation Networks
Equivariant Subgraph Aggregation Networks
Beatrice Bevilacqua
Fabrizio Frasca
Derek Lim
Balasubramaniam Srinivasan
Chen Cai
G. Balamurugan
M. Bronstein
Haggai Maron
53
175
0
06 Oct 2021
Graph Neural Networks: Methods, Applications, and Opportunities
Graph Neural Networks: Methods, Applications, and Opportunities
Lilapati Waikhom
Ripon Patgiri
GNN
31
42
0
24 Aug 2021
Bridging the Gap between Spatial and Spectral Domains: A Unified
  Framework for Graph Neural Networks
Bridging the Gap between Spatial and Spectral Domains: A Unified Framework for Graph Neural Networks
Zhiqian Chen
Fanglan Chen
Lei Zhang
Taoran Ji
Kaiqun Fu
Liang Zhao
Feng Chen
Lingfei Wu
Charu C. Aggarwal
Chang-Tien Lu
38
18
0
21 Jul 2021
Graph Neural Networks with Local Graph Parameters
Graph Neural Networks with Local Graph Parameters
Pablo Barceló
Floris Geerts
Juan L. Reutter
Maksimilian Ryschkov
24
65
0
12 Jun 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
Skeleton-based Hand-Gesture Recognition with Lightweight Graph
  Convolutional Networks
Skeleton-based Hand-Gesture Recognition with Lightweight Graph Convolutional Networks
H. Sahbi
3DH
GNN
18
3
0
09 Apr 2021
Combinatorial optimization and reasoning with graph neural networks
Combinatorial optimization and reasoning with graph neural networks
Quentin Cappart
Didier Chételat
Elias Boutros Khalil
Andrea Lodi
Christopher Morris
Petar Velickovic
AI4CE
32
347
0
18 Feb 2021
Graph Convolution for Semi-Supervised Classification: Improved Linear
  Separability and Out-of-Distribution Generalization
Graph Convolution for Semi-Supervised Classification: Improved Linear Separability and Out-of-Distribution Generalization
Aseem Baranwal
K. Fountoulakis
Aukosh Jagannath
OODD
39
75
0
13 Feb 2021
Interpreting and Unifying Graph Neural Networks with An Optimization
  Framework
Interpreting and Unifying Graph Neural Networks with An Optimization Framework
Meiqi Zhu
Xiao Wang
C. Shi
Houye Ji
Peng Cui
AI4CE
52
197
0
28 Jan 2021
Graph Neural Networks: Taxonomy, Advances and Trends
Graph Neural Networks: Taxonomy, Advances and Trends
Yu Zhou
Haixia Zheng
Xin Huang
Shufeng Hao
Dengao Li
Jumin Zhao
AI4TS
25
115
0
16 Dec 2020
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