Early Career - Mathematical Methods for Optimal Polynomial Recovery of High‐Dimensional Systems from Noisy Data

This project is focused on the development of polynomial approximation methods for data from physical experiments and numerical simulations. The need for efficient approximations naturally arises in many important energy and materials science applications, where constructing the high‐dimensional solution map requires repeated measurements from time‐consuming experiments or an ensemble of high‐dimensional, parameterized numerical simulations. Parameters for the deterministic variables may correspond to spatial position or velocity, and the stochastic variables characterize uncertainty in experimental or input data. The research pursues advances in constructive approximation theory, convex and constrained optimization, sparse models, data reduction, and high‐dimensional sampling strategies. Innovative methods that exploit sparsity and compression will be developed for inexpensive and accurate approximations that can be used in understanding and analyzing problems arising in plasma physics, molecular electronic structures, turbulent flows, and other DOE‐mission applications.

This research was selected for funding by the Office of Advanced Scientific Computing Research.

 

About the Early Career Program

The program, started in 2009, supports the development of individual research programs of outstanding scientists early in their careers and stimulates research careers in the disciplines supported by the DOE Office of Science.

Under the program, university-based researchers receive at least $150,000 per year to cover summer salary and research expenses. For researchers based at DOE national laboratories, where DOE typically covers full salary and expenses of laboratory employees, grants will be at least $500,000 per year to cover year-round salary plus research expenses. The research grants are planned for five years.

To be eligible for the DOE award, a researcher must be an untenured, tenure-track assistant or associate professor at a U.S. academic institution or a full-time employee at a DOE national laboratory, who received a Ph.D. within the past 10 years. Research topics are required to fall within one of the Department's Office of Science's six major program offices:  Advanced Scientific Computing Research (ASCR); Biological and Environmental Research (BER); Basic Energy Sciences (BES), Fusion Energy Sciences (FES); High Energy Physics (HEP), and Nuclear Physics (NP).

Visit the Early Career Research Program site