Convex Relaxation for Multimarginal Optimal Transport in Density Functional Theory

Applied and Computational Mathematics Seminar
Friday, February 8, 2019 - 11:00am for 1 hour (actually 50 minutes)
Skiles 005
Prof. Lexing Ying – Stanford University
Molei Tao

Please Note: We will go to lunch together after the talk with the graduate students.

We introduce methods from convex optimization to solve the multi-marginal transport type problems arise in the context of density functional theory. Convex relaxations are used to provide outer approximation to the set of N-representable 2-marginals and 3-marginals, which in turn provide lower bounds to the energy. We further propose rounding schemes to obtain upper bound to the energy.