梁仕华, 文畅平. 膨胀土判别与分类的Bayes判别分析法[J]. 力学与实践, 2008, 30(6): 73-76. DOI: 10.6052/1000-0992-2007-409
引用本文: 梁仕华, 文畅平. 膨胀土判别与分类的Bayes判别分析法[J]. 力学与实践, 2008, 30(6): 73-76. DOI: 10.6052/1000-0992-2007-409
BAYES DISCRIMINANT ANALYSIS FOR THE IDENTIFICATION AND CLASSIFICATION OF EXPANSIVE SOIL[J]. MECHANICS IN ENGINEERING, 2008, 30(6): 73-76. DOI: 10.6052/1000-0992-2007-409
Citation: BAYES DISCRIMINANT ANALYSIS FOR THE IDENTIFICATION AND CLASSIFICATION OF EXPANSIVE SOIL[J]. MECHANICS IN ENGINEERING, 2008, 30(6): 73-76. DOI: 10.6052/1000-0992-2007-409

膨胀土判别与分类的Bayes判别分析法

BAYES DISCRIMINANT ANALYSIS FOR THE IDENTIFICATION AND CLASSIFICATION OF EXPANSIVE SOIL

  • 摘要: 基于Bayes判别分析法以建立膨胀土判别与胀缩等级分类的Bayes判别分析模型. 模型选用液限,胀缩总率,塑性指数,天然含水率,自由膨胀率等5个指标作为判别因子;将膨胀土的胀缩性分为极强、强、中、弱4个等级并作为Bayes判别分析的4个正态总体;以训练样本建立Bayes线性判别函数,以该函数计算待判样品的Bayes判别函数值,以最大值对应的总体作为样品的归属;以刀切法对判别准则进行评价. 研究表明,该模型以刀切法计算的误判率为13.3%.

     

    Abstract: Based on the principle of Bayes discriminant analysis,a Bayes discriminant model for evaluating expansive soil is established. Fiveindexes, including the liquid limit, the overall rate of expansion andcontraction, plastic index, moisture content, free expansion rate, areselected as the factors for synthetic evaluation of expansive soil. The shrink and expansion is divided into four grades as four normal populations in Bayes discriminant analysis. Bayesdiscriminant functions obtained through training a set of expansive soilsamples are used to compute the Bayes function values of the evaluatingsamples, and the maximal function value is used to judge which populationthe evaluating sample belongs to. The usefulness of the proposed model isverified by Jackknife method. The study shows that the average predictionaccuracy is 13.3%

     

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