The second paper called "On the Approximation of the Riemannian Barycenter" uses the bounds from the above article to compute approximations of the Riemannian barycenter at very low computational cost!

link.springer.com/chapter/10.1...

The first paper called "Bounds on the geodesic distances on the Stiefel manifold for a family of Riemannian metrics" studies the geometry of the Stiefel manifold to derive simple and insightful bounds on the computationally untractable geodesic distance.

sciencedirect.com/science/arti...

Details on our research and how to apply to our lab are on our website: gi.ece.ucsb.edu.

We hope to hear from you! 👋
@uofcalifornia.bsky.social @ucsantabarbara.bsky.social @ucsbece.bsky.social @ucsb-cs.bsky.social @geometric-intel.bsky.social

From your desk you'll see dolphins, beach volleyball courts, surf spots & more importantly: your colleagues!

@adelemyers.bsky.social @mathildepapillon.bsky.social @franciscoacosta.bsky.social @louisacornelis.bsky.social @abbybertics.bsky.social @bariskurtkaya.bsky.social and gi.ece.ucsb.edu/people

You are specifically interested in AI?

👉 Look at the AI Curriculum from the UCSB Real AI Initiative offered within the CS and the ECE departments.

ai.ece.ucsb.edu/ai-ucsb

@ai-ucsb.bsky.social @ucsbece.bsky.social @ucsb-cs.bsky.social @ucsbengineering.bsky.social

We are physicists, neuroscientists, mathematicians and computer scientists who study intelligence in biological and artificial neural networks and use our findings to build better AI models.

👉 You can join us via UCSB ECE, CS, Math or DYNS PhD programs!

Click here to read more: time.com/collections/...

We can't wait to see your innovative solutions! Full details on the tasks and data are on our site:

🔗 geometric-intelligence.github.io/topobench/td...

#TDLChallenge #AI #ML #TAGinDS

A huge thank you to our partners! 🤝

💰 Cash prizes are sponsored by the brilliant team at Arlequin AI.

🏛️ Internships are hosted by the world-class UC Santa Barbara @geometric-intel.bsky.social and EPFL IMOS labs.

With organizers Guillermo Bernardez @levtelyatnikov.bsky.social @mathildepapillon.bsky.social Miquel Ferriol Marco Montagna Raffael Theiler Olga Fink
@TAGinDS @geometric-intel.bsky.social @icepfl.bsky.social and Arlequin AI.