Joseph Kileel
Kileel, assistant professor of mathematics and principal faculty member at the Oden Institute, is working to bring tensor networks into the mainstream of scientific machine learning. The tensor network approach encodes high-order mathematical objects as contractions of several low-order ones, offering more scalable alternatives to popular neural network representations of high-dimensional data with stronger mathematical guarantees. Applications of his research include contributing to methods in cryo-electron microscopy, as well as computer vision and robotics.
“Being selected for this is an honor for me, especially given the incredible caliber of others at Oden,” said Kileel.
His group has worked extensively with low-rank tensor compressions and is now branching into imposing structure within neural networks themselves. With this award, Kileel plans to develop tensor network–structured neural networks, efficient methods for training them, and applications that push scientific machine learning toward problems with large physical dimensions, including novel solution operators for high-dimensional partial differential equations and algorithms for ground state energy calculations in quantum many-body systems. He anticipates the research will benefit quantum chemists as well as researchers in control and electrical engineering, and sees strong alignment with the priorities of the DOE and NSF.
The Moncrief Grand Challenge Award is open to principal, core, and affiliated faculty at the Oden Institute. Recipients are chosen for proposals that address grand challenges “affecting the competitiveness and international standing of the nation. Awardees receive a stipend to support their work. At the end of each project, awardees prepare a final report summarizing their accomplishments.
A full list of current and past Moncrief Grand Challenge recipients is available here.