We use mathematics to unify the study of intelligence in brains and machines.
In neuroscience, we still don’t know how large populations of neurons give rise to perception, memory, and learning. In AI/ML, we face significant challenges to understand systems of our own making, leaving them hard to control and trust.
Our lab's hypothesis is that we lack appropriate mathematics that reveals the principles of intelligence in brains and machines. Our research develops the missing framework, uses it to formalize a theory of intelligence across substrates, and builds it into novel artificial neural networks to deliver superior performance without necessarily scaling data, parameters, or compute.
Geometric Intelligence Research
Just as physicists used geometry to build unification theories, we show that brain and machine intelligences can be studied under a common mathematical framework: geometric intelligence.
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
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.
Read MoreThe Ann S. Bowers Women's Brain Health Initiative Launches in San Jose, CA
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.
Read MoreNina Miolane Receives the Prestigious NSF CAREER Award
The Geometric Intelligence Lab Receives a 1.2M$ NSF Grant to Build Vision Systems that Exploit the Symmetries of the Visual World
Led by lab members Christian Shewmake and Sophia Sanborn, the Geometric Intelligence Lab (PI: Nina Miolane) receives a 1.2M$ NSF grant to build deep vision models capable of discove
Read MoreThe Geometric Intelligence Lab Receives a 1.2M$ NSF Grant to Build Vision Systems that Exploit the Symmetries of the Visual World