[PDF][PDF] Position paper: Challenges and opportunities in topological deep learning

T Papamarkou, T Birdal, M Bronstein… - arxiv preprint arxiv …, 2024 - scholar9.com
Topological deep learning (TDL) is a rapidly evolving field that uses topological features to
understand and design deep learning models. This paper posits that TDL may complement …

Position: Topological deep learning is the new frontier for relational learning

T Papamarkou, T Birdal, M Bronstein… - arxiv preprint arxiv …, 2024 - arxiv.org
Topological deep learning (TDL) is a rapidly evolving field that uses topological features to
understand and design deep learning models. This paper posits that TDL is the new frontier …

From continuous dynamics to graph neural networks: Neural diffusion and beyond

A Han, D Shi, L Lin, J Gao - arxiv preprint arxiv:2310.10121, 2023 - arxiv.org
Graph neural networks (GNNs) have demonstrated significant promise in modelling
relational data and have been widely applied in various fields of interest. The key …

Exposition on over-squashing problem on GNNs: Current methods, benchmarks and challenges

D Shi, A Han, L Lin, Y Guo, J Gao - arxiv preprint arxiv:2311.07073, 2023 - arxiv.org
Graph-based message-passing neural networks (MPNNs) have achieved remarkable
success in both node and graph-level learning tasks. However, several identified problems …

Neural Message Passing Induced by Energy-Constrained Diffusion

Q Wu, D Wipf, J Yan - arxiv preprint arxiv:2409.09111, 2024 - arxiv.org
Learning representations for structured data with certain geometries (observed or
unobserved) is a fundamental challenge, wherein message passing neural networks …

Learning divergence fields for shift-robust graph representations

Q Wu, F Nie, C Yang, J Yan - arxiv preprint arxiv:2406.04963, 2024 - arxiv.org
Real-world data generation often involves certain geometries (eg, graphs) that induce
instance-level interdependence. This characteristic makes the generalization of learning …