AI for Science and Engineering

Overview

We believe that mathematics-guided AI application can cover a wide range of science and engineering fields.

We built neural operators that use both Laplace and Fourier representations for generalizable, efficient operator learning algorithm suitable for many PDE problems. In seismology we showed that AI can create high quality broadband ground motion and ambient seismic noise with diffusion and generative models.
In material science and engineering we created AI-driven pipelines for estimating and optimizing mechanical properties of epoxy polymers. Also, transfer-learning across data-rich and data-poor battery imaging , and synthesize bar-link mechanism designs directly from specification. In biomedical field we developed multimodal models for knee-osteoarthritis diagnosis and automated measurement of spinal parameters. Across all of these, the common thread is to abstractify the governing nature of the underlying problem.

Core Questions

  • How can neural operators learn solution maps for whole families of PDEs (often used in STEM problems), efficiently and with guarantees of generalization?
  • How do we build generative models that respect physical structure and stay reliable even when facing out of distribution cases?
  • How can effective surrogates be designed to replace or accelerate classical simulation in science and engineering?

Representative Work

See all work on the Publications page.

  • Logs tagged AI4Science
  • Events and collaborations with science and engineering partners

People

See People for the full lab.

Donghun Lee
Donghun Lee
Associate Professor

Connecting artificial intelligence and mathematics, in both directions.