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...

Thrilled to see these two papers by Simon Mataigne, co-authored with P.-A. Absil published this month 🤩

They connect deep mathematical theory to practical algorithms on the Stiefel manifold and the approximation of the Riemannian barycenter 🌐

Details & papers👇 @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

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!

I am recruiting PhD students for 2026!😃

You want to reveal the geometric signatures of natural and artificial intelligence, and understand computations in brains and AI? 🌐🧠🤖

Apply to the UCSB Geometric Intelligence Lab ✨

This is the view you'd have from... your desk🌴

The UC sets a new world record with 5 Nobel Prizes this year!

Discover our research:
ai.ece.ucsb.edu/publications

Apply: Send CV + coverletter
📩 to ai@ece.ucsb.edu
🕐 by Sept 15, 2025
to receive full consideration.

We hope to hear from you!
@ucsantabarbara.bsky.social @ucsb-cs.bsky.social @ucsbece.bsky.social @ucsbengineering.bsky.social

Our research is collaborative at heart:

We work with neuroscientists, physicists, and healthcare professionals to design principled AI that is tailored to data-scarce scientific fields.

You’ll join a vibrant AI community on the golden Californian coast @uofcalifornia.bsky.social 🌴

We are recruiting postdocs @ai-ucsb.bsky.social !
With @haewonjeong.bsky.social Yao Qin

You want to lead the future of AI4Science?

Apply to UCSB Real AI For Science Initiative 🌟
Deadline: Sept 15, 2025.

This is the view you'll have from... your desk!
By @adelemyers.bsky.social

Interested in how geometric intelligence emerges in brains and machines? 🧠➗🤖

I joined Anita Okorie on Mind Over Matter to discuss geometric AI, brain complexity, and how neuroimaging can advance our understanding of neurodegenerative diseases.

🎧 Episode tinyurl.com/mryct7h9

The era of artificial scientific intelligence is here.

As algorithms generate discoveries at scale, what role remains for human scientists? 🤔

Thanks @plosbiology.org for publishing my perspective @ucsantabarbara.bsky.social @ai-ucsb.bsky.social @ucsbece.bsky.social @ucsb-cs.bsky.social 🌟

Special thanks to the incredible Sarah Kushner @adelemyers.bsky.social Luis F. Pereira and Daniel Martín de Blas 🌟

They are bringing your twin brain to you! 🧠

Pregnancy &motherhood transform the brain in ways we're only beginning to understand🧠

Uncovering these changes w/ @susanacarmona.bsky.social @magdamartinezga.bsky.social @emilyjacobs.bsky.social @grotzinger.bsky.social Kaya Jordan & @cziscience.bsky.social's generous support!

tinyurl.com/38jb7hm6

Join us for the #WiDS Panel on Women’s Brain Health!🧠

Why is sex-specific data crucial? From ADHD under-diagnosis to healthcare gaps, we’ll dive in.

📅 March 12 | 8 AM PT
📍 YouTube -link in comment

With @amykooz.bsky.social @ariannazuanazzi.bsky.social E. Rosenthal T. Silk R. Neuhaus & N. Williams

How can neural nets extract *interpretable* features from data—& uncover new science?

👉 Discover our mathematical framework tackling this question w/ identifiability theory, compressed sensing, interpretability & geometry!🌐

By @david-klindt.bsky.social @rpatrik96.bsky.social C. O'Neill H Maurer

How does AI memorize information? How does ChatGPT remember your name? How do RNNs keep track of simple numbers?

Our new paper led by Bariscan Kurtkaya & Fatih Dinc explores the geometry of short-term memory in neural networks—revealing limits in how information is stored!🧵
arxiv.org/abs/2502.17433

Happy New Year🎉

Thrilled to start 2025 with $1M from @cziscience.bsky.social @chanzuckerberg.bsky.social to study the maternal brain using AI!

Grateful for the chance to advance science for mothers worldwide 🧠

@emilyjacobs.bsky.social @susanacarmona.bsky.social @magdamartinezga.bsky.social