Convex Relaxations for Subset Selection
Optimization and Control
2010-06-21 v1 Data Structures and Algorithms
Abstract
We use convex relaxation techniques to produce lower bounds on the optimal value of subset selection problems and generate good approximate solutions. We then explicitly bound the quality of these relaxations by studying the approximation ratio of sparse eigenvalue relaxations. Our results are used to improve the performance of branch-and-bound algorithms to produce exact solutions to subset selection problems.
Cite
@article{arxiv.1006.3601,
title = {Convex Relaxations for Subset Selection},
author = {Francis Bach and Selin Damla Ahipasaoglu and Alexandre d'Aspremont},
journal= {arXiv preprint arXiv:1006.3601},
year = {2010}
}