Join us on a (mathematical) journey to a shire - oops, HIGHER - standard and principled evaluation schema for our benchmark datasets. This is the reward of the RINGS framework.

📒 Blog: aidos.group/blog/rings/
📃 Paper: doi.org/10.48550/arX...
👩‍💻 Code: github.com/aidos-lab/ri...

Huge congratulations, Bastian! 🙌Incredibly well-deserved. ⭐️

Genuine! 😁

We hope SCOTT can prove helpful in shepherding your flock of graphs through curvature filtrations.🐑

Big thanks to @jeremy-wayland.bsky.social for his incredible mentorship throughout. Special thanks also to our Scotland consultants: Mairi McClean and @limbeckkat.bsky.social.🏴󠁧󠁢󠁳󠁣󠁴󠁿

‘Til next time!

🧵7/n

It is also easy to choose your own SCOTT-ish adventure.🚀

Tailor your KILT🪡 with customizable curvature measures:
📏Forman & Balanced Forman
📏Ollivier-Ricci
📏Resistance

And vectorize by either:
🏔️ outlining a persistence landscape, or
📸 snapping a persistence image

🧵6/n

The meat of it:

👩‍🍳 curvature computations with a KILT (Krvature-Informed Links and Topology) object
👩‍🍳 persistent homology via edge filtrations
👩‍🍳 vectorization of persistence diagrams
👩‍🍳 distances between vectorizations

…all baked into a digestible SCOTT-ish haggis.🍽️

🧵5/n

By combining discrete curvature on graphs with persistent homology, SCOTT provides expressive descriptors of graph sets that are:

✨Robust
✨Stable
✨Expressive
✨Compatible with Statistical Testing

…all made easier - and breezier than a day in the Scottish Highlands.💨

🧵4/n

Via SCOTT, these methods are now pip installable on a venv near you! 🚀

💻: github.com/aidos-lab/cu...
📋: aidos.group/curvature-fi...

🧵3/n

🚀 Developed with @jeremy-wayland.bsky.social, @pseudomanifold.topology.rocks, SCOTT is the new code base supporting their paper with @joshsouthern.bsky.social @mmbronstein.bsky.social.

Check out the paper here:
📜: arxiv.org/abs/2301.12906

🧵2/n