Efficient representation learning for higher-order data with simplicial complexes

R Yang, F Sala, P Bogdan - Learning on Graphs …, 2022 - proceedings.mlr.press
Graph-based machine learning is experiencing explosive growth, driven by impressive
recent developments and wide applicability. Typical approaches for graph representation …

Topo-mlp: A simplicial network without message passing

KN Ramamurthy, A Guzmán-Sáenz… - ICASSP 2023-2023 …, 2023 - ieeexplore.ieee.org
Due to their ability to model meaningful higher order relations among a set of entities, higher
order network models have emerged recently as a powerful alternative for graph-based …

Higher-order networks representation and learning: A survey

H Tian, R Zafarani - arXiv preprint arXiv:2402.19414, 2024 - arxiv.org
Network data has become widespread, larger, and more complex over the years. Traditional
network data is dyadic, capturing the relations among pairs of entities. With the need to …

Weisfeiler and lehman go topological: Message passing simplicial networks

C Bodnar, F Frasca, Y Wang, N Otter… - International …, 2021 - proceedings.mlr.press
The pairwise interaction paradigm of graph machine learning has predominantly governed
the modelling of relational systems. However, graphs alone cannot capture the multi-level …

Graph representation learning in biomedicine and healthcare

MM Li, K Huang, M Zitnik - Nature Biomedical Engineering, 2022 - nature.com
Networks—or graphs—are universal descriptors of systems of interacting elements. In
biomedicine and healthcare, they can represent, for example, molecular interactions …

Simplicial attention networks

CWJ Goh, C Bodnar, P Lio - arXiv preprint arXiv:2204.09455, 2022 - arxiv.org
Graph representation learning methods have mostly been limited to the modelling of node-
wise interactions. Recently, there has been an increased interest in understanding how …

Simplicial neural networks

S Ebli, M Defferrard, G Spreemann - arXiv preprint arXiv:2010.03633, 2020 - arxiv.org
We present simplicial neural networks (SNNs), a generalization of graph neural networks to
data that live on a class of topological spaces called simplicial complexes. These are natural …

TopoSRL: topology preserving self-supervised simplicial representation learning

H Madhu, SP Chepuri - Advances in Neural Information …, 2024 - proceedings.neurips.cc
In this paper, we introduce $\texttt {TopoSRL} $, a novel self-supervised learning (SSL)
method for simplicial complexes to effectively capture higher-order interactions and preserve …

Hyper-SAGNN: a self-attention based graph neural network for hypergraphs

R Zhang, Y Zou, J Ma - arXiv preprint arXiv:1911.02613, 2019 - arxiv.org
Graph representation learning for hypergraphs can be used to extract patterns among
higher-order interactions that are critically important in many real world problems. Current …

Simplicial complex neural networks

H Wu, A Yip, J Long, J Zhang… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Graph-structured data, where nodes exhibit either pair-wise or high-order relations, are
ubiquitous and essential in graph learning. Despite the great achievement made by existing …