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基于最大相关熵准则的鲁棒半监督学习算法
引用本文:杨南海,黄明明,赫然,王秀坤.基于最大相关熵准则的鲁棒半监督学习算法[J].软件学报,2012,23(2):279-288.
作者姓名:杨南海  黄明明  赫然  王秀坤
作者单位:1. 大连理工大学计算机科学与技术学院,辽宁大连,116024
2. 大连理工大学计算机科学与技术学院,辽宁大连 116024;模式识别国家重点实验室(中国科学院自动化研究所),北京100190
基金项目:国家自然科学基金,国家教育部高等学校博士学科点专项科研基金
摘    要:分析了噪声对半监督学习Gaussian-Laplacian正则化(Gaussian-Laplacian regularized,简称GLR)框架的影响,针对最小二乘准则对噪声敏感的特点,结合信息论的最大相关熵准则(maximum correntropy criterion,简称MCC),提出了一种基于最大相关熵准则的鲁棒半监督学习算法(简称GLR-MCC),并证明了算法的收敛性.半二次优化技术被用来求解相关熵目标函数.在每次迭代中,复杂的信息论优化问题被简化为标准的半监督学习问题.典型机器学习数据集上的仿真实验结果表明,在标签噪声和遮挡噪声的情况下,该算法能够有效地提高半监督学习算法性能.

关 键 词:半监督学习  Gaussian-Laplacian正则化  相关熵  鲁棒  半二次优化
收稿时间:5/4/2010 12:00:00 AM
修稿时间:2010/10/11 0:00:00

Robust Semi-Supervised Learning Algorithm Based on Maximum Correntropy Criterion
YANG Nan-Hai,HUANG Ming-Ming,HE Ran and WANG Xiu-Kun.Robust Semi-Supervised Learning Algorithm Based on Maximum Correntropy Criterion[J].Journal of Software,2012,23(2):279-288.
Authors:YANG Nan-Hai  HUANG Ming-Ming  HE Ran and WANG Xiu-Kun
Affiliation:1(School of Computer Science and Technology,Dalian University of Technology,Dalian 116024,China) 2(National Laboratory of Pattern Recognition(Institute of Automation,The Chinese Academy of Sciences),Beijing 100190,China)
Abstract:This paper analyzes the problem of sensitivity to noise in the mean square criterion of Gaussian-Laplacian regularized(GLR) algorithm.A robust semi-supervised learning algorithm based on maximum correntropy criterion(MCC),called GLR-MCC,is proposed to improve the robustness of GLR along with its convergence analysis.The half quadratic optimization technique is used to simplify the correntropy optimization problem to a standard semi-supervised problem in each iteration.Experimental results on typical machine learning data sets show that the proposed GLR-MCC can effectively improve the robustness of mislabeling noise and occlusion as compared with related semi-supervised learning algorithms.
Keywords:semi-supervised learning  Gaussian-Laplacian regularized  correntropy  robust  half quadratic optimization
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