[HTML][HTML] Generative hypergraph models and spectral embedding

X Gong, DJ Higham, K Zygalakis - Scientific Reports, 2023 - nature.com
Many complex systems involve interactions between more than two agents. Hypergraphs
capture these higher-order interactions through hyperedges that may link more than two …

Hypergraph-based image processing

S Zhang, S Cui, Z Ding - 2020 IEEE International Conference …, 2020 - ieeexplore.ieee.org
Learning and processing of signals over hypergraph models have gained substantial
traction owing to the ability of hypergraphs in characterizing multilateral interactions. In this …

Structural patterns and generative models of real-world hypergraphs

MT Do, S Yoon, B Hooi, K Shin - Proceedings of the 26th ACM SIGKDD …, 2020 - dl.acm.org
Graphs have been utilized as a powerful tool to model pairwise relationships between
people or objects. Such structure is a special type of a broader concept referred to as …

Hypernetwork science via high-order hypergraph walks

SG Aksoy, C Joslyn, CO Marrero, B Praggastis… - EPJ Data …, 2020 - epjds.epj.org
We propose high-order hypergraph walks as a framework to generalize graph-based
network science techniques to hypergraphs. Edge incidence in hypergraphs is quantitative …

Network visualizations with Pyvis and VisJS

G Perrone, J Unpingco, H Lu - arXiv preprint arXiv:2006.04951, 2020 - arxiv.org
Pyvis is a Python module that enables visualizing and interactively manipulating network
graphs in the Jupyter notebook, or as a standalone web application. Pyvis is built on top of …

Hypergraph structure inference from data under smoothness prior

B Tang, S Chen, X Dong - arXiv preprint arXiv:2308.14172, 2023 - arxiv.org
Hypergraphs are important for processing data with higher-order relationships involving
more than two entities. In scenarios where explicit hypergraphs are not readily available, it is …

A Survey on Hypergraph Neural Networks: An In-Depth and Step-By-Step Guide

S Kim, SY Lee, Y Gao, A Antelmi, M Polato… - arXiv preprint arXiv …, 2024 - arxiv.org
Higher-order interactions (HOIs) are ubiquitous in real-world complex systems and
applications, and thus investigation of deep learning for HOIs has become a valuable …

[HTML][HTML] Inference of hyperedges and overlapping communities in hypergraphs

M Contisciani, F Battiston, C De Bacco - Nature communications, 2022 - nature.com
Hypergraphs, encoding structured interactions among any number of system units, have
recently proven a successful tool to describe many real-world biological and social …

SimpleHypergraphs. jl—novel software framework for modelling and analysis of hypergraphs

A Antelmi, G Cordasco, B Kamiński, P Prałat… - Algorithms and Models …, 2019 - Springer
Hypergraphs are natural generalization of graphs in which a single (hyper) edge can
connect any number of vertices. As a result, hypergraphs are suitable and useful to model …

Cerebral: Visualizing multiple experimental conditions on a graph with biological context

A Barsky, T Munzner, J Gardy… - IEEE transactions on …, 2008 - ieeexplore.ieee.org
Systems biologists use interaction graphs to model the behavior of biological systems at the
molecular level. In an iterative process, such biologists observe the reactions of living cells …