Home of Math + Machine Learning + X....and PINNs!

Welcome to the CRUNCH website:

(Math + Machine Learning + X)  & PINNs!

The CRUNCH group is the research team of Professor George Em Karniadakis in the Division of Applied Mathematics at Brown University. CRUNCH members have diverse interdisciplinary backgrounds, and they work at the interface of Computational Mathematics + Machine Learning + X, where X may be problems in biology, soft matter, functional materials, physical chemistry, or fluid and solid mechanics. We welcome collaborators and visitors with bold ideas from across different fields. Our new emphasis is on Scinetific Machine Learning and on PINNs that the CRUNCH group pioneered. The industry likes it (Thanks NVIDIA), and everyone copies us shamelessly but we like it! PINNs are Physics-Informed Neural Networks and we have a whole alphabet of PINNs: cPINNs (conservative); vPINNs (variational); pPINNs (parareal); nPINNs (nonlocal); B-PINNs (Bayesian), ...You can find all the papers here.

 

Check-out our current research interests under Current Research.

 

Scentific journal covers featuring our recent works:

An atomistic fingerprint algorithm for learning ab initio molecular force fields

Understanding of the interactions between sickle cell fibers

Researchers in Applied Mathematics discover ways to understand better sickle cell disease

Physics Informed Machine LearningPhysics Informed Machine Learning