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广义统计不相关最优鉴别矢量集的一个理论结果 被引量:4

A Theoretical Result on the Generalized Optimal Set of Statistically Uncorrelated Discriminant Vectors
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摘要 本文对统计不相关最优鉴别矢量集的理论问题进行研究 ,提出了广义统计不相关最优鉴别准则 ,并给出了广义统计不相关最佳鉴别矢量集的一个理论结果 ,研究表明 ,广义统计不相关最佳鉴别矢量集的计算公式与基于Fisher最优鉴别准则的统计不相关最佳鉴别矢量集的计算公式完全一样 ,但是以前这一点没有被认识到 .本文的研究丰富了统计不相关最优鉴别分析的特征抽取理论 . This paper presents a research on the theoretical issue of optimal set of statistically uncorrelated discriminant vectors.First,the criterion of the generalized optimal set of statistically uncorrelated discriminant vectors is proposed,then a theoretical result on the generalized optimal statistically uncorrelated discriminant vectors is obtained.The research result indicates that the formula of the generalized optimal set of statistically uncorrelated discriminant vectors is the same as that of the conventional optimal set of statistically uncorrelated discriminant vectors,however,which was not realized.The research enriches the theory of feature extraction based on the statistically uncorrelated discriminant analysis.
出处 《电子学报》 EI CAS CSCD 北大核心 2004年第10期1720-1722,共3页 Acta Electronica Sinica
基金 国家自然科学基金课题 (No.60 0 72 0 34) 中国科学院沈阳自动化研究所机器人学重点实验室基金 (No .RL2 0 0 1 0 8) 江苏省高校自然科学研究计划项目 (No .0 1KJB52 0 0 2 ) 江苏省自然科学基金 (No.BK2 0 0 2 0 0 1 BK2 0 0 4 0 58) 图象处理与图象通信实验
关键词 模式识别 特征抽取 鉴别分析 广义最佳鉴别矢量集 pattern recognition feature extraction discriminant analysis generalized optimal set of discriminant vectors
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参考文献9

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同被引文献43

  • 1陈绵书,陈贺新,刘伟.一种新的求解无相关鉴别矢量集方法[J].计算机学报,2004,27(7):913-917. 被引量:10
  • 2邓林,马尽文,裴健.秩和基因选取方法及其在肿瘤诊断中的应用[J].科学通报,2004,49(13):1311-1316. 被引量:18
  • 3吴小俊,杨静宇,王士同,Josef Kittler,陆介平.改进的统计不相关最优鉴别矢量集[J].电子与信息学报,2005,27(1):47-50. 被引量:8
  • 4李建中,杨昆,高宏,骆吉洲,郭政.考虑样本不平衡的模型无关的基因选择方法[J].软件学报,2006,17(7):1485-1493. 被引量:24
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