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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
Simplifying Graph Transformers
Simplifying Graph Transformers
Liheng Ma
Soumyasundar Pal
Yingxue Zhang
Philip H. S. Torr
Mark J. Coates
26
0
0
17 Apr 2025
Cellular Development Follows the Path of Minimum Action
Cellular Development Follows the Path of Minimum Action
Rohola Zandie
Farhan Khodaee
Yufan Xia
Elazer R. Edelman
49
0
0
10 Apr 2025
Ordered Topological Deep Learning: a Network Modeling Case Study
Ordered Topological Deep Learning: a Network Modeling Case Study
Guillermo Bernardez
Miquel Ferriol Galmés
Carlos Güemes-Palau
Mathilde Papillon
Pere Barlet-Ros
A. Cabellos-Aparicio
Nina Miolane
38
1
0
20 Mar 2025
Towards Quantifying Long-Range Interactions in Graph Machine Learning: a Large Graph Dataset and a Measurement
Huidong Liang
Haitz Sáez de Ocáriz Borde
Baskaran Sripathmanathan
Michael M. Bronstein
Xiaowen Dong
GNN
63
0
0
12 Mar 2025
Depth-Adaptive Graph Neural Networks via Learnable Bakry-Émery Curvature
Asela Hevapathige
Ahad N. Zehmakan
Qing Wang
65
0
0
03 Mar 2025
Performance Heterogeneity in Graph Neural Networks: Lessons for Architecture Design and Preprocessing
Lukas Fesser
Melanie Weber
33
0
0
01 Mar 2025
Large Engagement Networks for Classifying Coordinated Campaigns and Organic Twitter Trends
Large Engagement Networks for Classifying Coordinated Campaigns and Organic Twitter Trends
Atul Anand Gopalakrishnan
Jakir Hossain
Tugrulcan Elmas
Ahmet Erdem Sariyuce
GNN
36
0
0
01 Mar 2025
Learning Backbones: Sparsifying Graphs through Zero Forcing for Effective Graph-Based Learning
Learning Backbones: Sparsifying Graphs through Zero Forcing for Effective Graph-Based Learning
O. Ahmad
Anwar Said
Mudassir Shabbir
X. Koutsoukos
W. Abbas
62
0
0
24 Feb 2025
Hallucination Detection in LLMs Using Spectral Features of Attention Maps
Hallucination Detection in LLMs Using Spectral Features of Attention Maps
Jakub Binkowski
Denis Janiak
Albert Sawczyn
Bogdan Gabrys
Tomasz Kajdanowicz
57
0
0
24 Feb 2025
MAPN: Enhancing Heterogeneous Sparse Graph Representation by Mamba-based Asynchronous Aggregation
Xuqi Mao
Zhenying He
Xiaoyang Sean Wang
46
0
0
23 Feb 2025
Democratizing Large Language Model-Based Graph Data Augmentation via Latent Knowledge Graphs
Democratizing Large Language Model-Based Graph Data Augmentation via Latent Knowledge Graphs
Yushi Feng
Tsai Hor Chan
Guosheng Yin
Lequan Yu
42
1
0
20 Feb 2025
On Vanishing Gradients, Over-Smoothing, and Over-Squashing in GNNs: Bridging Recurrent and Graph Learning
On Vanishing Gradients, Over-Smoothing, and Over-Squashing in GNNs: Bridging Recurrent and Graph Learning
Alvaro Arroyo
Alessio Gravina
Benjamin Gutteridge
Federico Barbero
Claudio Gallicchio
Xiaowen Dong
Michael M. Bronstein
P. Vandergheynst
31
2
0
15 Feb 2025
Simple Path Structural Encoding for Graph Transformers
Simple Path Structural Encoding for Graph Transformers
Louis Airale
Antonio Longa
Mattia Rigon
Andrea Passerini
Roberto Passerone
90
0
0
13 Feb 2025
CurvGAD: Leveraging Curvature for Enhanced Graph Anomaly Detection
CurvGAD: Leveraging Curvature for Enhanced Graph Anomaly Detection
Karish Grover
Geoffrey J. Gordon
Christos Faloutsos
68
0
0
12 Feb 2025
Effects of Random Edge-Dropping on Over-Squashing in Graph Neural Networks
Effects of Random Edge-Dropping on Over-Squashing in Graph Neural Networks
Jasraj Singh
Keyue Jiang
Brooks Paige
Laura Toni
65
1
0
11 Feb 2025
What makes a good feedforward computational graph?
What makes a good feedforward computational graph?
Alex Vitvitskyi
J. G. Araújo
Marc Lackenby
Petar Velickovic
80
1
0
10 Feb 2025
Policy Guided Tree Search for Enhanced LLM Reasoning
Policy Guided Tree Search for Enhanced LLM Reasoning
Yang Li
LRM
53
0
0
04 Feb 2025
Understanding Oversmoothing in GNNs as Consensus in Opinion Dynamics
Understanding Oversmoothing in GNNs as Consensus in Opinion Dynamics
Keqin Wang
Yulong Yang
Ishan Saha
Christine Allen-Blanchette
51
1
0
31 Jan 2025
Enhancing Graph Representation Learning with Localized Topological Features
Enhancing Graph Representation Learning with Localized Topological Features
Zuoyu Yan
Qi Zhao
Ze Ye
Tengfei Ma
Liangcai Gao
Zhi Tang
Yusu Wang
Chao Chen
47
0
0
17 Jan 2025
Graph Triple Attention Network: A Decoupled Perspective
Graph Triple Attention Network: A Decoupled Perspective
Xiaotang Wang
Yun Zhu
Haizhou Shi
Yongchao Liu
Chuntao Hong
60
2
0
03 Jan 2025
Discrete Curvature Graph Information Bottleneck
Discrete Curvature Graph Information Bottleneck
Xingcheng Fu
Jian Wang
Yisen Gao
Qingyun Sun
Haonan Yuan
Jianxin Li
Xianxian Li
29
0
0
31 Dec 2024
Rewiring Techniques to Mitigate Oversquashing and Oversmoothing in GNNs:
  A Survey
Rewiring Techniques to Mitigate Oversquashing and Oversmoothing in GNNs: A Survey
Hugo Attali
Davide Buscaldi
Nathalie Pernelle
AI4CE
64
1
0
26 Nov 2024
GrokFormer: Graph Fourier Kolmogorov-Arnold Transformers
GrokFormer: Graph Fourier Kolmogorov-Arnold Transformers
Guoguo Ai
Guansong Pang
Hezhe Qiao
Yuan Gao
Hui Yan
67
0
0
26 Nov 2024
Even Sparser Graph Transformers
Even Sparser Graph Transformers
Hamed Shirzad
Honghao Lin
B. Venkatachalam
A. Velingker
David P. Woodruff
Danica J. Sutherland
GNN
91
3
0
25 Nov 2024
Variational Graph Contrastive Learning
Variational Graph Contrastive Learning
Shifeng Xie
Jhony H. Giraldo
27
0
0
11 Nov 2024
ELU-GCN: Effectively Label-Utilizing Graph Convolutional Network
ELU-GCN: Effectively Label-Utilizing Graph Convolutional Network
Jincheng Huang
Yujie Mo
Xiaoshuang Shi
Lei Feng
Xiaofeng Zhu
31
0
0
04 Nov 2024
Towards Dynamic Message Passing on Graphs
Towards Dynamic Message Passing on Graphs
Junshu Sun
Chenxue Yang
Xiangyang Ji
Qingming Huang
Shuhui Wang
30
0
0
31 Oct 2024
A Cosmic-Scale Benchmark for Symmetry-Preserving Data Processing
A Cosmic-Scale Benchmark for Symmetry-Preserving Data Processing
Julia Balla
S. Mishra-Sharma
C. Cuesta-Lázaro
Tommi Jaakkola
Tess E. Smidt
24
1
0
27 Oct 2024
Deep Equilibrium Algorithmic Reasoning
Deep Equilibrium Algorithmic Reasoning
Dobrik Georgiev
JJ Wilson
Davide Buffelli
Pietro Lio'
24
0
0
19 Oct 2024
Enhancing GNNs with Architecture-Agnostic Graph Transformations: A
  Systematic Analysis
Enhancing GNNs with Architecture-Agnostic Graph Transformations: A Systematic Analysis
Zhifei Li
Gerrit Großmann
V. Wolf
19
0
0
11 Oct 2024
Pretraining Graph Transformers with Atom-in-a-Molecule Quantum
  Properties for Improved ADMET Modeling
Pretraining Graph Transformers with Atom-in-a-Molecule Quantum Properties for Improved ADMET Modeling
Alessio Fallani
Ramil I. Nugmanov
Jose A. Arjona-Medina
Jörg Kurt Wegner
Alexandre Tkatchenko
Kostiantyn Chernichenko
MedIm
AI4CE
29
0
0
10 Oct 2024
Accelerating Error Correction Code Transformers
Accelerating Error Correction Code Transformers
Matan Levy
Yoni Choukroun
Lior Wolf
MQ
21
0
0
08 Oct 2024
When Graph Neural Networks Meet Dynamic Mode Decomposition
When Graph Neural Networks Meet Dynamic Mode Decomposition
Dai Shi
Lequan Lin
Andi Han
Zhiyong Wang
Yi Guo
Junbin Gao
AI4CE
23
0
0
08 Oct 2024
Unveiling the Impact of Local Homophily on GNN Fairness: In-Depth
  Analysis and New Benchmarks
Unveiling the Impact of Local Homophily on GNN Fairness: In-Depth Analysis and New Benchmarks
Donald Loveland
Danai Koutra
33
1
0
05 Oct 2024
Cayley Graph Propagation
Cayley Graph Propagation
JJ Wilson
Maya Bechler-Speicher
Petar Veličković
30
4
0
04 Oct 2024
ClassContrast: Bridging the Spatial and Contextual Gaps for Node
  Representations
ClassContrast: Bridging the Spatial and Contextual Gaps for Node Representations
Md Joshem Uddin
Astrit Tola
Varin Sikand
Cüneyt Gürcan Akçora
Baris Coskunuzer
24
1
0
03 Oct 2024
MANTRA: The Manifold Triangulations Assemblage
MANTRA: The Manifold Triangulations Assemblage
Rubén Ballester
Ernst Röell
Daniel Bin Schmid
Mathieu Alain
Sergio Escalera
Carles Casacuberta
Bastian Rieck
44
2
0
03 Oct 2024
DuoGNN: Topology-aware Graph Neural Network with Homophily and
  Heterophily Interaction-Decoupling
DuoGNN: Topology-aware Graph Neural Network with Homophily and Heterophily Interaction-Decoupling
K. Mancini
I. Rekik
35
1
0
29 Sep 2024
Range-aware Positional Encoding via High-order Pretraining: Theory and
  Practice
Range-aware Positional Encoding via High-order Pretraining: Theory and Practice
Viet Anh Nguyen
Nhat-Khang Ngô
Truong Son-Hy
AI4CE
22
0
0
27 Sep 2024
Supra-Laplacian Encoding for Transformer on Dynamic Graphs
Supra-Laplacian Encoding for Transformer on Dynamic Graphs
Yannis Karmim
Marc Lafon
Raphael Fournier SÑiehotta
Nicolas Thome
23
0
0
26 Sep 2024
Boolean Product Graph Neural Networks
Boolean Product Graph Neural Networks
Ziyan Wang
Bin Liu
Ling Xiang
33
0
0
21 Sep 2024
Preventing Representational Rank Collapse in MPNNs by Splitting the
  Computational Graph
Preventing Representational Rank Collapse in MPNNs by Splitting the Computational Graph
Andreas Roth
Franka Bause
Nils M. Kriege
Thomas Liebig
33
2
0
17 Sep 2024
Flexible Diffusion Scopes with Parameterized Laplacian for Heterophilic
  Graph Learning
Flexible Diffusion Scopes with Parameterized Laplacian for Heterophilic Graph Learning
Qincheng Lu
Jiaqi Zhu
Sitao Luan
Xiao-Wen Chang
28
2
0
15 Sep 2024
On the design space between molecular mechanics and machine learning
  force fields
On the design space between molecular mechanics and machine learning force fields
Yuanqing Wang
Kenichiro Takaba
Michael S. Chen
Marcus Wieder
Yuzhi Xu
...
Kyunghyun Cho
Joe G. Greener
Peter K. Eastman
Stefano Martiniani
M. Tuckerman
AI4CE
37
4
0
03 Sep 2024
Characterizing Physician Referral Networks with Ricci Curvature
Characterizing Physician Referral Networks with Ricci Curvature
Jeremy Wayland
Russel J. Funk
Bastian Alexander Rieck
CML
31
0
0
27 Aug 2024
Contrastive Representation Learning for Dynamic Link Prediction in
  Temporal Networks
Contrastive Representation Learning for Dynamic Link Prediction in Temporal Networks
Amirhossein Nouranizadeh
Fatemeh Tabatabaei Far
Mohammad Rahmati
AI4TS
19
1
0
22 Aug 2024
Slicing Input Features to Accelerate Deep Learning: A Case Study with
  Graph Neural Networks
Slicing Input Features to Accelerate Deep Learning: A Case Study with Graph Neural Networks
Zhengjia Xu
Dingyang Lyu
Jinghui Zhang
GNN
33
0
0
21 Aug 2024
Distinguish Confusion in Legal Judgment Prediction via Revised Relation
  Knowledge
Distinguish Confusion in Legal Judgment Prediction via Revised Relation Knowledge
Nuo Xu
P. Wang
Junzhou Zhao
Feiyang Sun
Lin Lan
Jing Tao
Li Pan
Xiaohong Guan
AILaw
30
1
0
18 Aug 2024
Joint Graph Rewiring and Feature Denoising via Spectral Resonance
Joint Graph Rewiring and Feature Denoising via Spectral Resonance
Jonas Linkerhagner
Cheng Shi
Ivan Dokmanić
33
0
0
13 Aug 2024
From Graphs to Qubits: A Critical Review of Quantum Graph Neural
  Networks
From Graphs to Qubits: A Critical Review of Quantum Graph Neural Networks
Andrea Ceschini
Francesco Mauro
Francesca De Falco
A. Sebastianelli
A. Verdone
A. Rosato
Bertrand Le Saux
Massimo Panella
Paolo Gamba
Silvia Liberata Ullo
GNN
AI4CE
34
0
0
12 Aug 2024
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