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Understanding over-squashing and bottlenecks on graphs via curvature

Understanding over-squashing and bottlenecks on graphs via curvature

29 November 2021
Jake Topping
Francesco Di Giovanni
B. Chamberlain
Xiaowen Dong
M. Bronstein
ArXivPDFHTML

Papers citing "Understanding over-squashing and bottlenecks on graphs via curvature"

50 / 284 papers shown
Title
Unifying over-smoothing and over-squashing in graph neural networks: A
  physics informed approach and beyond
Unifying over-smoothing and over-squashing in graph neural networks: A physics informed approach and beyond
Zhiqi Shao
Dai Shi
Andi Han
Yi Guo
Qianchuan Zhao
Junbin Gao
24
11
0
06 Sep 2023
Self-pruning Graph Neural Network for Predicting Inflammatory Disease
  Activity in Multiple Sclerosis from Brain MR Images
Self-pruning Graph Neural Network for Predicting Inflammatory Disease Activity in Multiple Sclerosis from Brain MR Images
Chinmay Prabhakar
Hongwei Bran Li
Johannes C. Paetzold
T. Loehr
Chen Niu
Mark Muhlau
Daniel Rueckert
Benedikt Wiestler
Bjoern H. Menze
MedIm
AI4CE
19
5
0
31 Aug 2023
Curvature-based Pooling within Graph Neural Networks
Curvature-based Pooling within Graph Neural Networks
Cedric Sanders
Andreas Roth
Thomas Liebig
33
5
0
31 Aug 2023
Enhancing Graph Transformers with Hierarchical Distance Structural
  Encoding
Enhancing Graph Transformers with Hierarchical Distance Structural Encoding
Yuan Luo
Hongkang Li
Lei Shi
Xiao-Ming Wu
23
7
0
22 Aug 2023
Investigating the Interplay between Features and Structures in Graph
  Learning
Investigating the Interplay between Features and Structures in Graph Learning
Daniele Castellana
Federico Errica
23
3
0
18 Aug 2023
Half-Hop: A graph upsampling approach for slowing down message passing
Half-Hop: A graph upsampling approach for slowing down message passing
Mehdi Azabou
Venkataraman Ganesh
S. Thakoor
Chi-Heng Lin
Lakshmi Sathidevi
Ran Liu
Michal Valko
Petar Velickovic
Eva L. Dyer
16
20
0
17 Aug 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 Lehman Go Paths: Learning Topological Features via Path
  Complexes
Weisfeiler and Lehman Go Paths: Learning Topological Features via Path Complexes
Quang Truong
Peter Chin
GNN
19
7
0
13 Aug 2023
Target-aware Variational Auto-encoders for Ligand Generation with
  Multimodal Protein Representation Learning
Target-aware Variational Auto-encoders for Ligand Generation with Multimodal Protein Representation Learning
Haoxiang Luo
Gang Sun
22
2
0
02 Aug 2023
CTAGE: Curvature-Based Topology-Aware Graph Embedding for Learning
  Molecular Representations
CTAGE: Curvature-Based Topology-Aware Graph Embedding for Learning Molecular Representations
Yili Chen
Zhengyu Li
Zheng Wan
Hui Yu
Xian Wei
21
0
0
25 Jul 2023
QDC: Quantum Diffusion Convolution Kernels on Graphs
QDC: Quantum Diffusion Convolution Kernels on Graphs
Thomas Markovich
GNN
10
3
0
20 Jul 2023
How Curvature Enhance the Adaptation Power of Framelet GCNs
How Curvature Enhance the Adaptation Power of Framelet GCNs
Dai Shi
Yi Guo
Zhiqi Shao
Junbin Gao
16
14
0
19 Jul 2023
Correlation-aware Spatial-Temporal Graph Learning for Multivariate
  Time-series Anomaly Detection
Correlation-aware Spatial-Temporal Graph Learning for Multivariate Time-series Anomaly Detection
Yu Zheng
Huan Yee Koh
Ming Jin
Lianhua Chi
Khoa T. Phan
Shirui Pan
Yi-Ping Phoebe Chen
Wei Xiang
AI4TS
10
24
0
17 Jul 2023
Graph Positional and Structural Encoder
Graph Positional and Structural Encoder
Semih Cantürk
Renming Liu
Olivier Lapointe-Gagné
Vincent Létourneau
Guy Wolf
Dominique Beaini
Ladislav Rampášek
31
13
0
14 Jul 2023
Frameless Graph Knowledge Distillation
Frameless Graph Knowledge Distillation
Dai Shi
Zhiqi Shao
Yi Guo
Junbin Gao
26
4
0
13 Jul 2023
Improving Heterogeneous Graph Learning with Weighted Mixed-Curvature
  Product Manifold
Improving Heterogeneous Graph Learning with Weighted Mixed-Curvature Product Manifold
Tuc Nguyen-Van
Dung D. Le
The-Anh Ta
12
1
0
10 Jul 2023
Exploring & Exploiting High-Order Graph Structure for Sparse Knowledge
  Graph Completion
Exploring & Exploiting High-Order Graph Structure for Sparse Knowledge Graph Completion
Tao He
Ming Liu
Yixin Cao
Zekun Wang
Zihao Zheng
Zheng Chu
Bing Qin
8
2
0
29 Jun 2023
Diffusion-Jump GNNs: Homophiliation via Learnable Metric Filters
Diffusion-Jump GNNs: Homophiliation via Learnable Metric Filters
Ahmed Begga
Francisco Escolano
M. Lozano
Edwin R. Hancock
13
2
0
29 Jun 2023
Torsion Graph Neural Networks
Torsion Graph Neural Networks
Cong Shen
Xiang Liu
Jiawei Luo
Kelin Xia
22
0
0
23 Jun 2023
Curvature-enhanced Graph Convolutional Network for Biomolecular
  Interaction Prediction
Curvature-enhanced Graph Convolutional Network for Biomolecular Interaction Prediction
Cong Shen
Pingjian Ding
Junjie Wee
Jialin Bi
Jiawei Luo
Kelin Xia
GNN
6
6
0
23 Jun 2023
UUKG: Unified Urban Knowledge Graph Dataset for Urban Spatiotemporal
  Prediction
UUKG: Unified Urban Knowledge Graph Dataset for Urban Spatiotemporal Prediction
Yansong NING
Hao Liu
Hao Wang
Zhenyu Zeng
Hui Xiong
AI4TS
16
24
0
20 Jun 2023
P-tensors: a General Formalism for Constructing Higher Order Message
  Passing Networks
P-tensors: a General Formalism for Constructing Higher Order Message Passing Networks
Tianyi Sun
Andrew R. Hands
Risi Kondor
8
2
0
19 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
21
34
0
06 Jun 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
40
23
0
05 Jun 2023
Towards Deep Attention in Graph Neural Networks: Problems and Remedies
Towards Deep Attention in Graph Neural Networks: Problems and Remedies
Soo Yong Lee
Fanchen Bu
Jaemin Yoo
Kijung Shin
GNN
11
30
0
04 Jun 2023
Is Rewiring Actually Helpful in Graph Neural Networks?
Is Rewiring Actually Helpful in Graph Neural Networks?
Domenico Tortorella
A. Micheli
AI4CE
27
2
0
31 May 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
12
86
0
27 May 2023
From Latent Graph to Latent Topology Inference: Differentiable Cell
  Complex Module
From Latent Graph to Latent Topology Inference: Differentiable Cell Complex Module
Claudio Battiloro
Indro Spinelli
Lev Telyatnikov
Michael M. Bronstein
Simone Scardapane
P. Lorenzo
BDL
21
14
0
25 May 2023
Union Subgraph Neural Networks
Union Subgraph Neural Networks
Jiaxing Xu
Aihu Zhang
Qingtian Bian
Vijay Prakash Dwivedi
Yiping Ke
GNN
19
6
0
25 May 2023
Mol-PECO: a deep learning model to predict human olfactory perception
  from molecular structures
Mol-PECO: a deep learning model to predict human olfactory perception from molecular structures
Mengji Zhang
Yusuke Hiki
Akira Funahashi
Tetsuya J. Kobayashi
11
0
0
21 May 2023
Edge Directionality Improves Learning on Heterophilic Graphs
Edge Directionality Improves Learning on Heterophilic Graphs
Emanuele Rossi
Bertrand Charpentier
Francesco Di Giovanni
Fabrizio Frasca
Stephan Günnemann
Michael M. Bronstein
15
56
0
17 May 2023
Addressing Heterophily in Node Classification with Graph Echo State
  Networks
Addressing Heterophily in Node Classification with Graph Echo State Networks
A. Micheli
Domenico Tortorella
11
8
0
14 May 2023
DRew: Dynamically Rewired Message Passing with Delay
DRew: Dynamically Rewired Message Passing with Delay
Benjamin Gutteridge
Xiaowen Dong
Michael M. Bronstein
Francesco Di Giovanni
27
58
0
13 May 2023
Structural Group Unfairness: Measurement and Mitigation by means of the
  Effective Resistance
Structural Group Unfairness: Measurement and Mitigation by means of the Effective Resistance
Adrián Arnaiz-Rodríguez
Georgina Curto
Nuria Oliver
16
0
0
05 May 2023
Beyond Homophily: Reconstructing Structure for Graph-agnostic Clustering
Beyond Homophily: Reconstructing Structure for Graph-agnostic Clustering
Erlin Pan
Zhao Kang
29
35
0
03 May 2023
Leveraging Label Non-Uniformity for Node Classification in Graph Neural
  Networks
Leveraging Label Non-Uniformity for Node Classification in Graph Neural Networks
Feng Ji
See Hian Lee
Hanyang Meng
Kai Zhao
Jielong Yang
Wee Peng Tay
36
12
0
29 Apr 2023
Dynamic Graph Representation Learning with Neural Networks: A Survey
Dynamic Graph Representation Learning with Neural Networks: A Survey
Leshanshui Yang
Sébastien Adam
Clément Chatelain
AI4TS
AI4CE
26
14
0
12 Apr 2023
Feudal Graph Reinforcement Learning
Feudal Graph Reinforcement Learning
Tommaso Marzi
Arshjot Khehra
Andrea Cini
C. Alippi
22
0
0
11 Apr 2023
Hyperbolic Geometric Graph Representation Learning for
  Hierarchy-imbalance Node Classification
Hyperbolic Geometric Graph Representation Learning for Hierarchy-imbalance Node Classification
Xingcheng Fu
Yuecen Wei
Qingyun Sun
Haonan Yuan
Jia Wu
Hao Peng
Jianxin Li
AI4CE
22
24
0
11 Apr 2023
Projections of Model Spaces for Latent Graph Inference
Projections of Model Spaces for Latent Graph Inference
Haitz Sáez de Ocáriz Borde
Alvaro Arroyo
Ingmar Posner
19
9
0
21 Mar 2023
Tangent Bundle Convolutional Learning: from Manifolds to Cellular
  Sheaves and Back
Tangent Bundle Convolutional Learning: from Manifolds to Cellular Sheaves and Back
Claudio Battiloro
Zhiyang Wang
Hans Riess
P. Di Lorenzo
Alejandro Ribeiro
23
9
0
20 Mar 2023
A Survey on Oversmoothing in Graph Neural Networks
A Survey on Oversmoothing in Graph Neural Networks
T. Konstantin Rusch
Michael M. Bronstein
Siddhartha Mishra
16
184
0
20 Mar 2023
Molecular Property Prediction by Semantic-invariant Contrastive Learning
Molecular Property Prediction by Semantic-invariant Contrastive Learning
Ziqiao Zhang
Ailin Xie
Jihong Guan
Shuigeng Zhou
12
5
0
13 Mar 2023
Exphormer: Sparse Transformers for Graphs
Exphormer: Sparse Transformers for Graphs
Hamed Shirzad
A. Velingker
B. Venkatachalam
Danica J. Sutherland
A. Sinop
11
96
0
10 Mar 2023
Node-Specific Space Selection via Localized Geometric Hyperbolicity in
  Graph Neural Networks
Node-Specific Space Selection via Localized Geometric Hyperbolicity in Graph Neural Networks
See Hian Lee
Feng Ji
Wee Peng Tay
19
1
0
03 Mar 2023
Specformer: Spectral Graph Neural Networks Meet Transformers
Specformer: Spectral Graph Neural Networks Meet Transformers
Deyu Bo
Chuan Shi
Lele Wang
Renjie Liao
69
78
0
02 Mar 2023
Diffusing Graph Attention
Diffusing Graph Attention
Daniel Glickman
Eran Yahav
GNN
28
3
0
01 Mar 2023
Drop Edges and Adapt: a Fairness Enforcing Fine-tuning for Graph Neural
  Networks
Drop Edges and Adapt: a Fairness Enforcing Fine-tuning for Graph Neural Networks
Indro Spinelli
Riccardo Bianchini
Simone Scardapane
16
1
0
22 Feb 2023
Building Shortcuts between Distant Nodes with Biaffine Mapping for Graph
  Convolutional Networks
Building Shortcuts between Distant Nodes with Biaffine Mapping for Graph Convolutional Networks
Acong Zhang
Jincheng Huang
Ping Li
Kaizheng Zhang
GNN
17
5
0
17 Feb 2023
Understanding Oversquashing in GNNs through the Lens of Effective
  Resistance
Understanding Oversquashing in GNNs through the Lens of Effective Resistance
Mitchell Black
Zhengchao Wan
A. Nayyeri
Yusu Wang
25
63
0
14 Feb 2023
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