Title
Structured Convex Optimization under Submodular Constraints.
Abstract
A number of discrete and continuous optimization problems in machine learning are related to convex minimization problems under submodular constraints. In this paper, we deal with a submodular function with a directed graph structure, and we show that a wide range of convex optimization problems under submodular constraints can be solved much more efficiently than general submodular optimization methods by a reduction to a maximum flow problem. Furthermore, we give some applications, including sparse optimization methods, in which the proposed methods are effective. Additionally, we evaluate the performance of the proposed method through computational experiments.
Year
Venue
DocType
2013
UAI
Journal
Volume
Citations 
PageRank 
abs/1309.6850
6
0.43
References 
Authors
16
2
Name
Order
Citations
PageRank
Nagano, Kiyohito1997.10
Kawahara, Yoshinobu231731.30