| 基于两步矩阵投影的数据分类算法 |
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| 引用本文： | 梅从立,苏宏业,褚健.基于两步矩阵投影的数据分类算法[J].化工学报,2006,57(6):1374-1377. |
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| 作者姓名： | 梅从立 苏宏业 褚健 |
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| 作者单位： | 浙江大学先进控制研究所，工业控制技术国家重点实验室,浙江 杭州 310027 |
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| 基金项目： | 国家创新研究群体科学基金
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科技部科研项目 |
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| 摘 要： | 提出了一种数据分类的两步矩阵投影算法.指出Crowe提出的矩阵投影算法在数据分类中存在由于投影矩阵不惟一，导致已测可校正数据分类不彻底的缺点.采用已测数据预分类的方法，对其进行了修正.在此基础上，将矩阵投影算法引入到了未测数据分类中，提出了基于矩阵投影算法的未测数据分类算法.新算法只需求解两个投影矩阵就可以实现所有数据分类.从而避免了常规方法在未测数据分类时，求解未测数据关联矩阵绝对线性无关列的计算，提高了计算效率.数学推导和算例验证了新算法的有效性.
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| 关 键 词： | 数据分类 矩阵投影 数据校正 |
| 文章编号： | 0438-1157（2006）06-1374-04 |
| 收稿时间： | 07 7 2005 12:00AM |
| 修稿时间： | 2005-07-072005-09-19 |
Data classification algorithm based on two-step matrix projection |
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| MEI Congli,SU Hongye,CHU Jian.Data classification algorithm based on two-step matrix projection[J].Journal of Chemical Industry and Engineering(China),2006,57(6):1374-1377. |
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| Authors: | MEI Congli SU Hongye CHU Jian |
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| Affiliation: | National Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hangzhou 310027, Zhejiang, China |
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| Abstract: | A novel data classification algorithm based on matrix projection is presented. When matrix projection is not unique, data classification can not be classified perfectly by the the existing matrix projection algorithm. To solve the problem, a pre-classification algorithm of measured data is introduced and a new algorithm is developed to divide unmeasured data into determinable and indeterminable data, using matrix projection algorithm. For the new algorithm, only two projections of two incidence matrices are required to solve the problem and all data can be classified perfectly. The results of mathematical deduction and a mass reconciliation example show that the presented algorithm accurately classifies all data. |
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| Keywords: | data classification matrix projection data reconciliation |
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