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Expressiveness and Approximation Properties of Graph Neural Networks

Expressiveness and Approximation Properties of Graph Neural Networks

10 April 2022
Floris Geerts
Juan L. Reutter
ArXivPDFHTML

Papers citing "Expressiveness and Approximation Properties of Graph Neural Networks"

50 / 51 papers shown
Title
Graph Representational Learning: When Does More Expressivity Hurt Generalization?
Graph Representational Learning: When Does More Expressivity Hurt Generalization?
Sohir Maskey
Raffaele Paolino
Fabian Jogl
Gitta Kutyniok
Johannes F. Lutzeyer
22
0
0
16 May 2025
Homomorphism Expressivity of Spectral Invariant Graph Neural Networks
Jingchu Gai
Yiheng Du
Bohang Zhang
Haggai Maron
Liwei Wang
45
0
0
01 Mar 2025
ReFactor GNNs: Revisiting Factorisation-based Models from a Message-Passing Perspective
ReFactor GNNs: Revisiting Factorisation-based Models from a Message-Passing Perspective
Yihong Chen
Pushkar Mishra
Luca Franceschi
Pasquale Minervini
Pontus Stenetorp
Sebastian Riedel
67
20
0
17 Jan 2025
Balancing Efficiency and Expressiveness: Subgraph GNNs with Walk-Based Centrality
Joshua Southern
Yam Eitan
Guy Bar-Shalom
Michael M. Bronstein
Haggai Maron
Fabrizio Frasca
35
1
0
06 Jan 2025
Towards Bridging Generalization and Expressivity of Graph Neural
  Networks
Towards Bridging Generalization and Expressivity of Graph Neural Networks
Shouheng Li
Floris Geerts
Dongwoo Kim
Qing Wang
48
2
0
14 Oct 2024
Towards Dynamic Graph Neural Networks with Provably High-Order
  Expressive Power
Towards Dynamic Graph Neural Networks with Provably High-Order Expressive Power
Zhe Wang
Tianjian Zhao
Zhen Zhang
Jiawei Chen
Sheng Zhou
Yan Feng
Chun Chen
Can Wang
44
1
0
02 Oct 2024
Improving the Expressiveness of $K$-hop Message-Passing GNNs by
  Injecting Contextualized Substructure Information
Improving the Expressiveness of KKK-hop Message-Passing GNNs by Injecting Contextualized Substructure Information
Tianjun Yao
Yiongxu Wang
Kun Zhang
Shangsong Liang
38
11
0
27 Jun 2024
Demystifying Higher-Order Graph Neural Networks
Demystifying Higher-Order Graph Neural Networks
Maciej Besta
Florian Scheidl
Lukas Gianinazzi
S. Klaiman
Jürgen Müller
Torsten Hoefler
48
2
0
18 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
Expressive Power of Graph Neural Networks for (Mixed-Integer) Quadratic
  Programs
Expressive Power of Graph Neural Networks for (Mixed-Integer) Quadratic Programs
Ziang Chen
Xiaohan Chen
Jialin Liu
Xinshang Wang
Wotao Yin
43
4
0
09 Jun 2024
On the Expressive Power of Spectral Invariant Graph Neural Networks
On the Expressive Power of Spectral Invariant Graph Neural Networks
Bohang Zhang
Lingxiao Zhao
Haggai Maron
56
8
0
06 Jun 2024
Bundle Neural Networks for message diffusion on graphs
Bundle Neural Networks for message diffusion on graphs
Jacob Bamberger
Federico Barbero
Xiaowen Dong
Michael M. Bronstein
41
1
0
24 May 2024
Weisfeiler and Leman Go Loopy: A New Hierarchy for Graph
  Representational Learning
Weisfeiler and Leman Go Loopy: A New Hierarchy for Graph Representational Learning
Raffaele Paolino
Sohir Maskey
Pascal Welke
Gitta Kutyniok
33
2
0
20 Mar 2024
Local Vertex Colouring Graph Neural Networks
Local Vertex Colouring Graph Neural Networks
Shouheng Li
Dongwoo Kim
Qing Wang
63
1
0
10 Mar 2024
Almost Surely Asymptotically Constant Graph Neural Networks
Almost Surely Asymptotically Constant Graph Neural Networks
Sam Adam-Day
Michael Benedikt
.Ismail .Ilkan Ceylan
Ben Finkelshtein
GNN
71
2
0
06 Mar 2024
Clifford Group Equivariant Simplicial Message Passing Networks
Clifford Group Equivariant Simplicial Message Passing Networks
Cong Liu
David Ruhe
Floor Eijkelboom
Patrick Forré
27
14
0
15 Feb 2024
Homomorphism Counts for Graph Neural Networks: All About That Basis
Homomorphism Counts for Graph Neural Networks: All About That Basis
Emily Jin
Michael M. Bronstein
.Ismail .Ilkan Ceylan
Matthias Lanzinger
26
11
0
13 Feb 2024
Weisfeiler-Leman at the margin: When more expressivity matters
Weisfeiler-Leman at the margin: When more expressivity matters
Billy J. Franks
Christopher Morris
A. Velingker
Floris Geerts
58
10
0
12 Feb 2024
Rethinking the Capacity of Graph Neural Networks for Branching Strategy
Rethinking the Capacity of Graph Neural Networks for Branching Strategy
Ziang Chen
Jialin Liu
Xiaohan Chen
Xinshang Wang
Wotao Yin
53
3
0
11 Feb 2024
Future Directions in the Theory of Graph Machine Learning
Future Directions in the Theory of Graph Machine Learning
Christopher Morris
Fabrizio Frasca
Nadav Dym
Haggai Maron
.Ismail .Ilkan Ceylan
Ron Levie
Derek Lim
Michael M. Bronstein
Martin Grohe
Stefanie Jegelka
AI4CE
40
5
0
03 Feb 2024
Calibrate and Boost Logical Expressiveness of GNN Over Multi-Relational
  and Temporal Graphs
Calibrate and Boost Logical Expressiveness of GNN Over Multi-Relational and Temporal Graphs
Yeyuan Chen
Dingmin Wang
27
0
0
03 Nov 2023
Can strong structural encoding reduce the importance of Message Passing?
Can strong structural encoding reduce the importance of Message Passing?
Floor Eijkelboom
Erik J. Bekkers
Michael M. Bronstein
Francesco Di Giovanni University of Amsterdam
27
2
0
22 Oct 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
On the power of graph neural networks and the role of the activation
  function
On the power of graph neural networks and the role of the activation function
Sammy Khalife
A. Basu
24
7
0
10 Jul 2023
Path Neural Networks: Expressive and Accurate Graph Neural Networks
Path Neural Networks: Expressive and Accurate Graph Neural Networks
Gaspard Michel
Giannis Nikolentzos
J. Lutzeyer
Michalis Vazirgiannis
GNN
23
26
0
09 Jun 2023
Fine-grained Expressivity of Graph Neural Networks
Fine-grained Expressivity of Graph Neural Networks
Jan Böker
Ron Levie
Ningyuan Huang
Soledad Villar
Christopher Morris
30
20
0
06 Jun 2023
How does over-squashing affect the power of GNNs?
How does over-squashing affect the power of GNNs?
Francesco Di Giovanni
T. Konstantin Rusch
Michael M. Bronstein
Andreea Deac
Marc Lackenby
Siddhartha Mishra
Petar Velivcković
36
34
0
06 Jun 2023
An Empirical Study of Realized GNN Expressiveness
An Empirical Study of Realized GNN Expressiveness
Yanbo Wang
Muhan Zhang
42
10
0
16 Apr 2023
Technical report: Graph Neural Networks go Grammatical
Technical report: Graph Neural Networks go Grammatical
Jason Piquenot
Aldo Moscatelli
Maxime Bérar
Pierre Héroux
R. Raveaux
Jean-Yves Ramel
Sébastien Adam
33
1
0
02 Mar 2023
Some Might Say All You Need Is Sum
Some Might Say All You Need Is Sum
Eran Rosenbluth
Jan Toenshoff
Martin Grohe
31
16
0
22 Feb 2023
Equivariant Polynomials for Graph Neural Networks
Equivariant Polynomials for Graph Neural Networks
Omri Puny
Derek Lim
B. Kiani
Haggai Maron
Y. Lipman
30
31
0
22 Feb 2023
WL meet VC
WL meet VC
Christopher Morris
Floris Geerts
Jan Tonshoff
Martin Grohe
38
27
0
26 Jan 2023
State of the Art and Potentialities of Graph-level Learning
State of the Art and Potentialities of Graph-level Learning
Zhenyu Yang
Ge Zhang
Jia Wu
Jian Yang
Quan.Z Sheng
...
Charu C. Aggarwal
Hao Peng
Wenbin Hu
Edwin R. Hancock
Pietro Lio
GNN
AI4CE
43
10
0
14 Jan 2023
Homophily modulates double descent generalization in graph convolution
  networks
Homophily modulates double descent generalization in graph convolution networks
Chengzhi Shi
Liming Pan
Hong Hu
Ivan Dokmanić
37
9
0
26 Dec 2022
Weisfeiler and Leman Go Relational
Weisfeiler and Leman Go Relational
Pablo Barceló
Mikhail Galkin
Christopher Morris
Miguel Romero Orth
GNN
48
27
0
30 Nov 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
EDEN: A Plug-in Equivariant Distance Encoding to Beyond the 1-WL Test
EDEN: A Plug-in Equivariant Distance Encoding to Beyond the 1-WL Test
Chang-Shu Liu
Yuwen Yang
Yue Ding
Hongtao Lu
40
1
0
19 Nov 2022
On Representing Mixed-Integer Linear Programs by Graph Neural Networks
On Representing Mixed-Integer Linear Programs by Graph Neural Networks
Ziang Chen
Jialin Liu
Xinshang Wang
Jian Lu
W. Yin
AI4CE
34
16
0
19 Oct 2022
A Practical, Progressively-Expressive GNN
A Practical, Progressively-Expressive GNN
Lingxiao Zhao
Louis Härtel
Neil Shah
Leman Akoglu
32
17
0
18 Oct 2022
Linkless Link Prediction via Relational Distillation
Linkless Link Prediction via Relational Distillation
Zhichun Guo
William Shiao
Shichang Zhang
Yozen Liu
Nitesh V. Chawla
Neil Shah
Tong Zhao
27
41
0
11 Oct 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
Generalizing Downsampling from Regular Data to Graphs
Generalizing Downsampling from Regular Data to Graphs
D. Bacciu
A. Conte
Francesco Landolfi
45
8
0
06 Aug 2022
Ordered Subgraph Aggregation Networks
Ordered Subgraph Aggregation Networks
Chao Qian
Gaurav Rattan
Floris Geerts
Christopher Morris
Mathias Niepert
51
57
0
22 Jun 2022
Agent-based Graph Neural Networks
Agent-based Graph Neural Networks
Karolis Martinkus
Pál András Papp
Benedikt Schesch
Roger Wattenhofer
LLMAG
GNN
39
17
0
22 Jun 2022
Lower and Upper Bounds for Numbers of Linear Regions of Graph
  Convolutional Networks
Lower and Upper Bounds for Numbers of Linear Regions of Graph Convolutional Networks
Hao Chen
Yu Wang
Huan Xiong
GNN
16
6
0
01 Jun 2022
Representation Power of Graph Neural Networks: Improved Expressivity via
  Algebraic Analysis
Representation Power of Graph Neural Networks: Improved Expressivity via Algebraic Analysis
Charilaos I. Kanatsoulis
Alejandro Ribeiro
39
4
0
19 May 2022
SpeqNets: Sparsity-aware Permutation-equivariant Graph Networks
SpeqNets: Sparsity-aware Permutation-equivariant Graph Networks
Christopher Morris
Gaurav Rattan
Sandra Kiefer
Siamak Ravanbakhsh
50
40
0
25 Mar 2022
On the expressive power of message-passing neural networks as global
  feature map transformers
On the expressive power of message-passing neural networks as global feature map transformers
Floris Geerts
Jasper Steegmans
Jan Van den Bussche
22
6
0
17 Mar 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
31
25
0
14 Mar 2022
What Functions Can Graph Neural Networks Generate?
What Functions Can Graph Neural Networks Generate?
Mohammad Fereydounian
Hamed Hassani
Amin Karbasi
33
4
0
17 Feb 2022
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