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一种基于“独立性差”的分类学习新算法
引用本文:俞林,孙明贵.一种基于“独立性差”的分类学习新算法[J].系统工程理论与实践,2015,35(5):1283-1292.
作者姓名:俞林  孙明贵
作者单位:1. 东华大学 旭日工商管理学院, 上海 200051;2. 无锡职业技术学院 管理学院, 无锡 214121
基金项目:国家自然科学基金(61170122);江苏省高校哲学社会科学基金项目(2013SJB6300092)
摘    要:从"独立性差"角度出发,提出了ISE准则下的"独立性差"估计新方法(difference of independence estimation,DOIE).从数学模型上证明该算法与单类SVM等价且可用于解决分类问题.当数据集规模较大时,该算法的优势在于可用较少样本点表示两数据集中样本点间的关系,在保证精度的前提下,提高运算速度.该算法还可应用于两数据集独立性判断、检测流数据分布改变点的位置.若退化为单类数据集,可应用于概率密度估计.Benchmark和UCI数据集上的实验表明,该算法具有较好的性能.

关 键 词:独立性  分类  流数据  变化检测  概率密度估计  
收稿时间:2013-10-21

A new classification algorithm based on the difference of independence
YU Lin,SUN Ming-gui.A new classification algorithm based on the difference of independence[J].Systems Engineering —Theory & Practice,2015,35(5):1283-1292.
Authors:YU Lin  SUN Ming-gui
Institution:1. Glorious Sun School of Business and Management, Donghua University, Shanghai 200051, China;2. College of Economics & Management, Wuxi Institute of Technology, Wuxi 214121, China
Abstract:From the perspective of difference of independence, a new method of independence estimation approximating was proposed based on ISE criterion, called difference of independence estimation algorithm (DOIE). From the mathematical model, it is verified that this algorithm is equivalent to one class SVM and can be used for classification. When the scales of data sets are large, the algorithm can use fewer sample points to represent the relationship between all sample points which come from the two data sets. In the premise of ensuring the accuracy, the algorithm can improve processing speed. This method can also be used to estimate mutual information, used to determine the data stream's change location when data distribution is changed. If single-class sample set involved in computing, the algorithm can be applied to estimate the probability density as RSDE algorithm. Finally, the algorithm's validity is experimentally verified by the benchmark data sets and UCI data sets.
Keywords:independence  classification  data stream  change detection  probability density estimation
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