Architectures of Topological Deep Learning: A Survey of Message-Passing Topological Neural Networks

M Papillon, S Sanborn, M Hajij, N Miolane - arXiv preprint arXiv …, 2023 - arxiv.org
The natural world is full of complex systems characterized by intricate relations between
their components: from social interactions between individuals in a social network to …

Cell attention networks

L Giusti, C Battiloro, L Testa… - … Joint Conference on …, 2023 - ieeexplore.ieee.org
Since their introduction, graph attention networks achieved outstanding results in graph
representation learning tasks. However, these networks consider only pairwise relations …

Expressivity-preserving GNN simulation

F Jogl, M Thiessen, T Gärtner - Advances in Neural …, 2024 - proceedings.neurips.cc
We systematically investigate graph transformations that enable standard message passing
to simulate state-of-the-art graph neural networks (GNNs) without loss of expressivity. Using …

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 …

Convolutional learning on simplicial complexes

M Yang, E Isufi - arXiv preprint arXiv:2301.11163, 2023 - arxiv.org
We propose a simplicial complex convolutional neural network (SCCNN) to learn data
representations on simplicial complexes. It performs convolutions based on the multi-hop …

From latent graph to latent topology inference: Differentiable cell complex module

C Battiloro, I Spinelli, L Telyatnikov, M Bronstein… - arXiv preprint arXiv …, 2023 - arxiv.org
Latent Graph Inference (LGI) relaxed the reliance of Graph Neural Networks (GNNs) on a
given graph topology by dynamically learning it. However, most of LGI methods assume to …

Influential simplices mining via simplicial convolutional networks

Y Zeng, Y Huang, Q Wu, L Lü - Information Processing & Management, 2024 - Elsevier
The identification of influential simplices is crucial for understanding higher-order network
dynamics. Yet, despite relatively mature research on influential nodes (0-simplices) mining …

Weisfeiler and lehman go paths: Learning topological features via path complexes

Q Truong, P Chin - Proceedings of the AAAI Conference on Artificial …, 2024 - ojs.aaai.org
Graph Neural Networks (GNNs), despite achieving remarkable performance across different
tasks, are theoretically bounded by the 1-Weisfeiler-Lehman test, resulting in limitations in …

ICML 2023 topological deep learning challenge: design and results

M Papillon, M Hajij, A Myers… - Topological …, 2023 - proceedings.mlr.press
This paper presents the computational challenge on topological deep learning that was
hosted within the ICML 2023 Workshop on Topology and Geometry in Machine Learning …

Topological deep learning: graphs, complexes, sheaves

C Bodnar - 2023 - repository.cam.ac.uk
The types of spaces where data resides-graphs, meshes, grids, manifolds-are becoming
increasingly varied and heterogeneous. Therefore, translating ideas, models, and …