We reveal the geometric signatures of natural and artificial intelligence.
Understanding the brain is one of greatest scientific challenges of our time. We still don't know how thoughts emerge from neural activity, how our memories are stored and retrieved, or how our brain so flexibly adapts to new situations.
Meanwhile, today, an equally profound challenge has arisen: understanding the artificial intelligence (AI) emerging in machines of our own making.
In our lab, we believe that these challenges are linked.
Geometric Intelligence Research
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.
Just as physics unified forces through symmetry and geometry, we show mathematically and empirically that human and machine intelligence can be studied under a common framework: geometric intelligence.
Geometric Intelligence in Machines
We study the mathematical properties of top-performing AI models. Using these properties, we design novel AI that succeeds where most models fail—delivering up to +66% higher accuracy or the same accuracy with 10× faster models—even when datasets are small, noisy, or complex (e.g., networks, and 3D shapes). Learn more.
Geometric Intelligence in Brains
We study how geometric patterns of neural activity obey mathematical principles across diverse cognitive functions—from navigation and memory to vision. Learn more.
Building Brain Digital Twins
We leverage shared mathematical principles of intelligence in brains and machines to build multiscale digital twins of the brain, simulating its function in both health and disease. Learn more.
Latest News
HerBrain Named One of TIME’s 2025 Best Inventions of the Year
We’re thrilled to share that our project, HerBrain, has been named one of TIME's Best Inventions of 2025!
Read MoreHerBrain Named One of TIME’s 2025 Best Inventions of the Year
From the Lab to the Airwaves: Dr. Nina Miolane on the Mind Over Matter Podcast
Dr. Nina Miolane recently appeared on Mind Over Matter for a deep and wide-ranging conversation with host Anita Okorie. The episode delves into geometric artificial intelligence, natural intelligence, and how cutting-edge neuroimaging techniques are being used to study neurodegenerative diseases.
Read MoreFrom the Lab to the Airwaves: Dr. Nina Miolane on the Mind Over Matter Podcast
Nina Miolane Gives Public Lecture at the Center for Aging and Longevity Studies
Dr. Nina Miolane, Assistant Professor of Electrical & Computer Engineering at UC Santa Barbara, hosted an enlightening lecture on how artifical intelligence can improve our understanding of healthy and pathological aging. Dr. Miolane’s research combines geometric and topological methods with cutting-edge AI techniques like machine learning and deep learning to address key challenges in neuroscience, including Alzheimer's and other neurodegenerative diseases!
Read MoreNina Miolane Gives Public Lecture at the Center for Aging and Longevity Studies