The Geometric Intelligence Lab @ UC Santa Barbara

We use advanced mathematics to unify the study of intelligence in brains and machines.

We build efficient AI models that succeed where most fail. We deliver up to +66% higher accuracy or the same accuracy with 10× faster models, even when datasets are small, noisy, and complex (e.g., networks, and 3D shapes).

We provide new perspectives in neuroscience, revealing the mathematics that let our brains explore the world, store memories, and master new skills.

Geometric Intelligence Research

Just as physicists uses geometry to build unification theories, we show that brain and machine intelligences can be studied under a common framework: geometric intelligence.

The idea is that data has structure and this structure has power. It helps us rethink the building blocks of AI to make it more efficient. It helps us understand how brains compute so effectively.

Geometric Intelligence in Machines

We study the properties of top-performing AI models and design mathematical approaches to improve them. Learn more.

Geometric Intelligence in Brains

We study patterns of neural activity across diverse cognitive functions—from navigation and memory to vision. Learn more.

Building Brain Digital Twins

We use AI models to build digital twins of the brain, simulating its function in both health and disease. Learn more.

Latest News

News

Louisa Cornelis Receives the Prestigious NSF Graduate Research Fellowship (GRFP)

Louisa Cornelis, Ph.D. in the Geometric Intelligence Lab, has been awarded the prestigious NSF GRFP fellowship. She will receive 3 years of funding to develop novel cutting-edge methodology to analyze proteomics data for women’s brain health.

This award recognizes her as an outstanding graduate student & high-achieving early career scientist!

The Ann S. Bowers Women's Brain Health Initiative Launches in San Jose, CA

The UC Noyce launch of the Ann S. Bowers Women's Brain Health Initiative (WBHI) launched at The Tech Interactive in San Jose on November 16, 2023. World-class scientists from five University of California campuses, including researchers from the Geometric Intelligence Lab at UC Santa Barbara, united to share their cutting-edge research with the public. The director of the Geometric Intelligence Lab, Nina Miolane, was appointed as the director of the Artificial Intelligence branch of the WBHI.

Nina Miolane Receives the Prestigious NSF CAREER Award

Nina Miolane, PI of the Geometric Intelligence Lab, receives the NSF CAREER award, the most prestigious NSF award for early-career faculty to develop geometric methods for natural and artificial intelligence.