Title
Prismatic Algorithm for Discrete D.C. Programming Problems
Abstract
In this paper, we propose the first exact algorithm for minimizing the difference of two submodular functions (D.S.), i.e., the discrete version of the D.C. programming problem. The developed algorithm is a branch-and-bound-based algorithm which responds to the structure of this problem through the relationship between submodularity and convexity. The D.S. programming problem covers a broad range of applications in machine learning because this generalizes the optimization of a wide class of set functions. We empirically investigate the performance of our algorithm, and illustrate the difference between exact and approximate solutions respectively obtained by the proposed and existing algorithms in feature selection and discriminative structure learning.
Year
Venue
Keywords
2011
neural information processing systems
machine learning,feature selection,data structure,branch and bound
DocType
Volume
Citations 
Conference
abs/1108.4217
0
PageRank 
References 
Authors
0.34
1
2
Name
Order
Citations
PageRank
Kawahara, Yoshinobu131731.30
Takashi Washio21775190.58