Title
Maximal Margin Distribution Support Vector Regression with coupled Constraints-based Convex Optimization.
Abstract
Support vector regression (SVR) is one of the most popular machine learning algorithms aiming to generate the optimal regression curve through maximizing the minimal margin of selected training samples, i.e., support vectors. Recent researchers reveal that maximizing the margin distribution of whole training dataset rather than the minimal margin of a few support vectors, is prone to achieve better generalization performance. However, the margin distribution support vector regression machines suffer difficulties resulted from solving a non-convex quadratic optimization, compared to the margin distribution strategy for support vector classification, This paper firstly proposes a maximal margin distribution model for SVR(MMD-SVR), then implementing coupled constrain factor to convert the non-convex quadratic optimization to a convex problem with linear constrains, which enhance the training feasibility and efficiency for SVR to derived from maximizing the margin distribution. The theoretical and empirical analysis illustrates the superiority of MMD-SVR. In addition, numerical experiments show that MMD-SVR could significantly improve the accuracy of prediction and generate more smooth regression curve with better generalization compared with the classic SVR.
Year
Venue
DocType
2019
arXiv: Learning
Journal
Volume
Citations 
PageRank 
abs/1905.01620
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Gaoyang Li100.68
Jinyu Yang2327.81
Wu Chunguo37812.15
Qin Ma45714.76