On the Consistency of Compressed Modes for Variational Problems
Mathematical Physics
2013-10-18 v1 math.MP
Abstract
This paper provides theoretical consistency results for compressed modes. We prove that as L1 regularization term in certain non-convex variational optimization problems vanishes, the solutions of the optimization problem and the corresponding eigenvalues converge to Wannier-like functions and the eigenvalues of the Hamiltonian, respectively.
Keywords
Cite
@article{arxiv.1310.4552,
title = {On the Consistency of Compressed Modes for Variational Problems},
author = {Farzin Barekat},
journal= {arXiv preprint arXiv:1310.4552},
year = {2013}
}
Comments
11 pages