The structure and dynamics of networks with higher order interactions

S Boccaletti, P De Lellis, CI Del Genio, K Alfaro-Bittner… - Physics Reports, 2023 - Elsevier
All beauty, richness and harmony in the emergent dynamics of a complex system largely
depend on the specific way in which its elementary components interact. The last twenty-five …

[HTML][HTML] Networks beyond pairwise interactions: Structure and dynamics

F Battiston, G Cencetti, I Iacopini, V Latora, M Lucas… - Physics reports, 2020 - Elsevier
The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …

What are higher-order networks?

C Bick, E Gross, HA Harrington, MT Schaub - SIAM Review, 2023 - SIAM
Network-based modeling of complex systems and data using the language of graphs has
become an essential topic across a range of different disciplines. Arguably, this graph-based …

[图书][B] Deep learning on graphs

Y Ma, J Tang - 2021 - books.google.com
Deep learning on graphs has become one of the hottest topics in machine learning. The
book consists of four parts to best accommodate our readers with diverse backgrounds and …

Hypergcn: A new method for training graph convolutional networks on hypergraphs

N Yadati, M Nimishakavi, P Yadav… - Advances in neural …, 2019 - proceedings.neurips.cc
In many real-world network datasets such as co-authorship, co-citation, email
communication, etc., relationships are complex and go beyond pairwise. Hypergraphs …

[HTML][HTML] Signal processing on higher-order networks: Livin'on the edge... and beyond

MT Schaub, Y Zhu, JB Seby, TM Roddenberry… - Signal Processing, 2021 - Elsevier
In this tutorial, we provide a didactic treatment of the emerging topic of signal processing on
higher-order networks. Drawing analogies from discrete and graph signal processing, we …

Hnhn: Hypergraph networks with hyperedge neurons

Y Dong, W Sawin, Y Bengio - arXiv preprint arXiv:2006.12278, 2020 - arxiv.org
Hypergraphs provide a natural representation for many real world datasets. We propose a
novel framework, HNHN, for hypergraph representation learning. HNHN is a hypergraph …

Equivariant hypergraph diffusion neural operators

P Wang, S Yang, Y Liu, Z Wang, P Li - arXiv preprint arXiv:2207.06680, 2022 - arxiv.org
Hypergraph neural networks (HNNs) using neural networks to encode hypergraphs provide
a promising way to model higher-order relations in data and further solve relevant prediction …

From hypergraph energy functions to hypergraph neural networks

Y Wang, Q Gan, X Qiu, X Huang… - … on Machine Learning, 2023 - proceedings.mlr.press
Hypergraphs are a powerful abstraction for representing higher-order interactions between
entities of interest. To exploit these relationships in making downstream predictions, a …

A survey on graph neural networks in intelligent transportation systems

H Li, Y Zhao, Z Mao, Y Qin, Z Xiao, J Feng, Y Gu… - arXiv preprint arXiv …, 2024 - arxiv.org
Intelligent Transportation System (ITS) is vital in improving traffic congestion, reducing traffic
accidents, optimizing urban planning, etc. However, due to the complexity of the traffic …