On the Consistency of Compressed Modes for Variational Problems
arXiv:1310.4552
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.
11 pages