Title
An incremental decomposition method for unconstrained optimization.
Abstract
In this work we consider the problem of minimizing a sum of continuously differentiable functions. The vector of variables is partitioned into two blocks, and we assume that the objective function is convex with respect to a block-component. Problems with this structure arise, for instance, in machine learning. In order to advantageously exploit the structure of the objective function and to take into account that the number of terms of the objective function may be huge, we propose a decomposition algorithm combined with a gradient incremental strategy. Global convergence of the proposed algorithm is proved. The results of computational experiments performed on large-scale real problems show the effectiveness of the proposed approach with respect to existing algorithms.
Year
DOI
Venue
2014
10.1016/j.amc.2014.02.088
Applied Mathematics and Computation
Keywords
Field
DocType
Large-scale unconstrained optimization,Decomposition,Gradient incremental methods
Convergence (routing),Incremental strategy,Mathematical optimization,Regular polygon,Exploit,Decomposition method (constraint satisfaction),Smoothness,Mathematics
Journal
Volume
ISSN
Citations 
235
0096-3003
1
PageRank 
References 
Authors
0.35
6
2
Name
Order
Citations
PageRank
Luca Bravi150.76
Marco Sciandrone216814.06