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Neural Sheaf Diffusion: A Topological Perspective on Heterophily and
  Oversmoothing in GNNs

Neural Sheaf Diffusion: A Topological Perspective on Heterophily and Oversmoothing in GNNs

9 February 2022
Cristian Bodnar
Francesco Di Giovanni
B. Chamberlain
Pietro Lio'
Michael M. Bronstein
ArXivPDFHTML

Papers citing "Neural Sheaf Diffusion: A Topological Perspective on Heterophily and Oversmoothing in GNNs"

36 / 36 papers shown
Title
Hypergraph Neural Sheaf Diffusion: A Symmetric Simplicial Set Framework for Higher-Order Learning
Hypergraph Neural Sheaf Diffusion: A Symmetric Simplicial Set Framework for Higher-Order Learning
Seongjin Choi
Gahee Kim
Yong-Geun Oh
26
0
0
09 May 2025
Understanding GNNs and Homophily in Dynamic Node Classification
Understanding GNNs and Homophily in Dynamic Node Classification
Michael Ito
Danai Koutra
Jenna Wiens
87
1
0
29 Apr 2025
Higher-Order Topological Directionality and Directed Simplicial Neural Networks
Higher-Order Topological Directionality and Directed Simplicial Neural Networks
M. Lecha
Andrea Cavallo
Francesca Dominici
Elvin Isufi
Claudio Battiloro
AI4CE
151
2
0
17 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
Knowledge Planning in Large Language Models for Domain-Aligned
  Counseling Summarization
Knowledge Planning in Large Language Models for Domain-Aligned Counseling Summarization
Aseem Srivastava
Smriti Joshi
Tanmoy Chakraborty
Md. Shad Akhtar
37
3
0
23 Sep 2024
Exploring the Potential of Large Language Models for Heterophilic Graphs
Exploring the Potential of Large Language Models for Heterophilic Graphs
Yuxia Wu
Shujie Li
Yuan Fang
Chuan Shi
44
1
0
26 Aug 2024
Graph Neural Reaction Diffusion Models
Graph Neural Reaction Diffusion Models
Moshe Eliasof
Eldad Haber
Eran Treister
DiffM
AI4CE
35
2
0
16 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
39
1
0
24 May 2024
E(n) Equivariant Topological Neural Networks
E(n) Equivariant Topological Neural Networks
Claudio Battiloro
Ege Karaismailoglu
Mauricio Tec
George Dasoulas
Michelle Audirac
Francesca Dominici
52
5
0
24 May 2024
Understanding Oversmoothing in Diffusion-Based GNNs From the Perspective of Operator Semigroup Theory
Understanding Oversmoothing in Diffusion-Based GNNs From the Perspective of Operator Semigroup Theory
Weichen Zhao
Chenguang Wang
Xinyan Wang
Congying Han
Tiande Guo
Tianshu Yu
44
0
0
23 Feb 2024
Manifold GCN: Diffusion-based Convolutional Neural Network for Manifold-valued Graphs
Manifold GCN: Diffusion-based Convolutional Neural Network for Manifold-valued Graphs
M. Hanik
Gabriele Steidl
C. V. Tycowicz
GNN
MedIm
36
3
0
25 Jan 2024
Dirichlet Energy Enhancement of Graph Neural Networks by Framelet
  Augmentation
Dirichlet Energy Enhancement of Graph Neural Networks by Framelet Augmentation
Jialin Chen
Yuelin Wang
Cristian Bodnar
Rex Ying
Pietro Lió
Yu Guang Wang
29
10
0
09 Nov 2023
Supercharging Graph Transformers with Advective Diffusion
Supercharging Graph Transformers with Advective Diffusion
Qitian Wu
Chenxiao Yang
Kaipeng Zeng
Fan Nie
AI4CE
53
6
0
10 Oct 2023
Rank Collapse Causes Over-Smoothing and Over-Correlation in Graph Neural
  Networks
Rank Collapse Causes Over-Smoothing and Over-Correlation in Graph Neural Networks
Andreas Roth
Thomas Liebig
43
12
0
31 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
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
26
14
0
19 Jul 2023
Evolving Computation Graphs
Evolving Computation Graphs
Andreea Deac
Jian Tang
22
1
0
22 Jun 2023
Graph Neural Convection-Diffusion with Heterophily
Graph Neural Convection-Diffusion with Heterophily
Kai Zhao
Qiyu Kang
Yang Song
Rui She
Sijie Wang
Wee Peng Tay
28
27
0
26 May 2023
Revisiting Generalized p-Laplacian Regularized Framelet GCNs:
  Convergence, Energy Dynamic and Training with Non-Linear Diffusion
Revisiting Generalized p-Laplacian Regularized Framelet GCNs: Convergence, Energy Dynamic and Training with Non-Linear Diffusion
Dai Shi
Zhiqi Shao
Yi Guo
Qianchuan Zhao
Junbin Gao
34
1
0
25 May 2023
A Fractional Graph Laplacian Approach to Oversmoothing
A Fractional Graph Laplacian Approach to Oversmoothing
Sohir Maskey
Raffaele Paolino
Aras Bacho
Gitta Kutyniok
27
29
0
22 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
22
56
0
17 May 2023
A new perspective on building efficient and expressive 3D equivariant
  graph neural networks
A new perspective on building efficient and expressive 3D equivariant graph neural networks
Weitao Du
Yuanqi Du
Limei Wang
Dieqiao Feng
Guifeng Wang
Shuiwang Ji
Carla P. Gomes
Zhixin Ma
AI4CE
32
33
0
07 Apr 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
26
185
0
20 Mar 2023
Graph Neural Networks in Vision-Language Image Understanding: A Survey
Graph Neural Networks in Vision-Language Image Understanding: A Survey
Henry Senior
Greg Slabaugh
Shanxin Yuan
Luca Rossi
GNN
33
13
0
07 Mar 2023
A critical look at the evaluation of GNNs under heterophily: Are we
  really making progress?
A critical look at the evaluation of GNNs under heterophily: Are we really making progress?
Oleg Platonov
Denis Kuznedelev
Michael Diskin
Artem Babenko
Liudmila Prokhorenkova
31
188
0
22 Feb 2023
Revisiting Heterophily For Graph Neural Networks
Revisiting Heterophily For Graph Neural Networks
Sitao Luan
Chenqing Hua
Qincheng Lu
Jiaqi Zhu
Mingde Zhao
Shuyuan Zhang
Xiaoming Chang
Doina Precup
44
181
0
14 Oct 2022
Generalized energy and gradient flow via graph framelets
Generalized energy and gradient flow via graph framelets
Andi Han
Dai Shi
Zhiqi Shao
Junbin Gao
72
13
0
08 Oct 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
41
89
0
24 May 2022
Graph Anisotropic Diffusion
Graph Anisotropic Diffusion
Ahmed A. A. Elhag
Gabriele Corso
Hannes Stärk
Michael M. Bronstein
DiffM
GNN
22
0
0
30 Apr 2022
GraphWorld: Fake Graphs Bring Real Insights for GNNs
GraphWorld: Fake Graphs Bring Real Insights for GNNs
John Palowitch
Anton Tsitsulin
Brandon Mayer
Bryan Perozzi
GNN
195
68
0
28 Feb 2022
Haar Wavelet Feature Compression for Quantized Graph Convolutional
  Networks
Haar Wavelet Feature Compression for Quantized Graph Convolutional Networks
Moshe Eliasof
Ben Bodner
Eran Treister
GNN
35
7
0
10 Oct 2021
Beyond Low-frequency Information in Graph Convolutional Networks
Beyond Low-frequency Information in Graph Convolutional Networks
Deyu Bo
Xiao Wang
C. Shi
Huawei Shen
GNN
94
562
0
04 Jan 2021
Gauge Equivariant Mesh CNNs: Anisotropic convolutions on geometric
  graphs
Gauge Equivariant Mesh CNNs: Anisotropic convolutions on geometric graphs
P. D. Haan
Maurice Weiler
Taco S. Cohen
Max Welling
102
127
0
11 Mar 2020
Benchmarking Graph Neural Networks
Benchmarking Graph Neural Networks
Vijay Prakash Dwivedi
Chaitanya K. Joshi
Anh Tuan Luu
T. Laurent
Yoshua Bengio
Xavier Bresson
189
916
0
02 Mar 2020
Geom-GCN: Geometric Graph Convolutional Networks
Geom-GCN: Geometric Graph Convolutional Networks
Hongbin Pei
Bingzhen Wei
Kevin Chen-Chuan Chang
Yu Lei
Bo Yang
GNN
169
1,078
0
13 Feb 2020
Multi-scale Attributed Node Embedding
Multi-scale Attributed Node Embedding
Benedek Rozemberczki
Carl Allen
Rik Sarkar
GNN
148
837
0
28 Sep 2019
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