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
Our software Geomstats is in the news! Open-Source Bridges the Gap between Mathematical Research and Industry
Ovio starts a new series of blog posts showcasing the extraordinary #maintainers and #communities that are making #opensource.
Read MoreOur software Geomstats is in the news! Open-Source Bridges the Gap between Mathematical Research and IndustryWe Participate in the MIT Summer Geometry Institute: "The Shape of Success"
The MIT Summer Geometry Institute (SGI) is a paid summer research program introducing undergraduate and graduate students to the field of geometry processing. Congrats to Geometric Intelligence Lab's interns Faria Huq, Sahra Yusuf and Berna Kabadayi, whose project made it to the first page of the MIT EECS webpage: "The Shape of Success"!
Read MoreWe Participate in the MIT Summer Geometry Institute: "The Shape of Success"

