210 citations · 1.2k across the 58 of their papers we have counts for
5 papers · 1 filter
Sparse Recovery via Differential Inclusions
Stanley Osher, Feng Ruan, Jiechao Xiong +2
In this paper, we recover sparse signals from their noisy linear measurements by solving nonlinear differential inclusions, which is based on the notion of inverse scale space (ISS…
An L1 Penalty Method for General Obstacle Problems
Giang Tran, Hayden Schaeffer, William M. Feldman +1
We construct an efficient numerical scheme for solving obstacle problems in divergence form. The numerical method is based on a reformulation of the obstacle in terms of an L1-like…
Compressed Wannier modes found from an regularized energy functional
Farzin Barekat, Ke Yin, Russel E. Caflisch +3
We propose a method for calculating Wannier functions of periodic solids directly from a modified variational principle for the energy, subject to the requirement that the Wannier…
Density matrix minimization with regularization
Rongjie Lai, Jianfeng Lu, Stanley Osher
We propose a convex variational principle to find sparse representation of low-lying eigenspace of symmetric matrices. In the context of electronic structure calculation, this corr…
Projection to the Set of Shift Orthogonal Functions
Farzin Barekat, Rongjie Lai, Ke Yin +3
This paper presents a fast algorithm for projecting a given function to the set of shift orthogonal functions (i.e. set containing functions with unit norm that are orthogona…