The authors develop a geometric framework to study the structure and function of complex networks. They assume that hyperbolic geometry underlies these networks, and they show that with this ...

Run the live explorer — the heart of the project: python experiments/interactive_rha_explorer.py Drag the red observer to move through infinite space Adjust the ...

Dec 2025: Code was released. Oct 2025: Project page was released. Sept 2025: Our paper has been accepted to NeurIPS 2025! May 2025: Preprint was released. Hyperbolic Geometry for Dataset Distillation ...

In mathematics, hyperbolic geometry is a non-Euclidean geometry, meaning that the parallel postulate of Euclidean geometry is rejected. The parallel postulate in Euclidean geometry states, for two ...

Mathematicians often comment on the beauty of their chosen discipline. For the non-mathematicians among us, that can be hard to visualise. But in Prof Caroline Series’s field of hyperbolic geometry, ...

Margaret Wertheim gave a talk for the Australian Mathematical Sciences Institute at their 2016 annual Summer School. We have built a world of largely straight lines – the houses we live in, the ...