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• 数学 • 上一篇    下一篇

基于遗传算法构建大学数学课程贝叶斯网

郝立丽, 赖 民, 郝立柱   

  1. 吉林大学 数学研究所, 长春 130012
  • 收稿日期:2007-12-27 修回日期:1900-01-01 出版日期:2008-09-26 发布日期:2008-09-26
  • 通讯作者: 赖 民

Bayesian Network Construction of College Mathematics CoursesBased on Genetic Algorithms

HAO Lili, LAI Min, HAO Lizhu   

  1. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2007-12-27 Revised:1900-01-01 Online:2008-09-26 Published:2008-09-26
  • Contact: LAI Min

摘要: 基于某高校统计学院自1984~2005年间学生所学10门课 程的成绩, 利用K2算法并结合自适应遗传算法构建了课程贝叶斯网. 用学生成绩样本的信息将有向无环图与概率理论有机地结合, 直观地揭示了各门课程之间的依赖关系, 通过条件概率表体现了依赖关系的强弱程度, 不仅对学院不同学期课程的设置有一定的参考价值, 而且对学生进一步学习而选择适合自己的研究方向提供权衡依据.

关键词: 贝叶斯网, 自适应遗传算法, K2算法

Abstract: We utilized the K2 algorithms and adaptive genetic algorithms to construct Bayesian network of college mathematics courses on the basis of 1984~2005’s 10 courses scores of school of statistics from a certain university. As far as the construction is concerned, it uses the information in the sample of students’ scores, combines Directed Acyclic Graph (DAG) with the theory of probability organically, intuitively reveals the dependencies of the courses and incarnates how strong thedependenciesare according to conditional probability table. Not only dose it offer the reference value on courses setting in different terms, but also it provides evidence for students’ advanced studies and option of research direction which is the most suitable.

Key words: Bayesian network, adaptive genetic algorithms, K2 alg orithms

中图分类号: 

  • O235