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Minimum deviation distribution machine for large scale regression

delete2018-04-01
delete6
PRE
AI
M
Ming-Zeng Liu
邵
邵元海 (Yuan‐Hai Shao) *
王震 cover
王震 (Zhen Wang)
李春娜 cover
李春娜 (Chun‐Na Li)
W
Wei-Jie Chen
DOI:10.1016/j.knosys.2018.02.002delete
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Abstract

Abstract

En 中文
In this paper, by introducing the statistics of training data into support vector regression (SVR), we propose a minimum deviation distribution regression (MDR). Rather than just minimizing the structural risk, MDR also minimizes both the regression deviation mean and the regression deviation variance, which is able to deal with the different distribution of boundary data and noises. The formulation of minimizing the first and second order statistics in MDR leads to a strongly convex quadratic programming problem (QPP). An efficient dual coordinate descend algorithm is adopted for small sample problem, and an average stochastic gradient algorithm for large scale one. Both theoretical analysis and experimental results illustrate the efficiency and effectiveness of the proposed method. (C) 2018 Elsevier B.V. All rights reserved.
Keywords:
Regression
Support vector machine
Minimum deviation distribution machine
Dual coordinate descend algorithm
Stochastic gradient algorithm

Journal

K
Knowledge-Based Systems
IF:
7.6
Papers:
1.3W
Citations:
4.5W

Organization

I
Inner Mongolia University
Scholars:
8.3K
Papers: 4.9K
Citations: 10
Z
zhejiang university of technology
Scholars:
3.3W
Papers: 2.0W
Citations: 22
D
Dalian University of Technology
Scholars:
6.0W
Papers: 4.4W
Citations: 5.5W
H
Hainan University
Scholars:
2.0W
Papers: 1.2W
Citations: 1.9W
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