Title
Stochastic subgradient descent method for large-scale robust chance-constrained support vector machines.
Abstract
Robust chance-constrained Support Vector Machines (SVM) with second-order moment information can be reformulated into equivalent and tractable Semidefinite Programming (SDP) and Second Order Cone Programming (SOCP) models. However, practical applications involve processing large-scale data sets. For the reformulated SDP and SOCP models, existed solvers by primal-dual interior method do not have enough computational efficiency. This paper studies the stochastic subgradient descent method and algorithms to solve robust chance-constrained SVM on large-scale data sets. Numerical experiments are performed to show the efficiency of the proposed approaches. The result of this paper breaks the computational limitation and expands the application of robust chance-constrained SVM.
Year
DOI
Venue
2017
10.1007/s11590-016-1026-4
Optimization Letters
Keywords
Field
DocType
Support vector machines, Robust chance constraints, Primal-dual interior method, Stochastic subgradient descent method, Large-scale data
Second-order cone programming,Mathematical optimization,Data set,Subgradient method,Support vector machine,Semidefinite programming,Mathematics
Journal
Volume
Issue
ISSN
11
5
1862-4480
Citations 
PageRank 
References 
3
0.41
12
Authors
3
Name
Order
Citations
PageRank
Ximing Wang140.76
Neng Fan28910.74
Panos M. Pardalos314119.60