• •    

基于联合概率矩阵分解的个性化试题推荐方法研究

李全1,刘兴红1,许新华2,林松1   

  1. 1. 湖北师范大学
    2. 湖北师范学院信息学院
  • 收稿日期:2017-08-23 修回日期:2017-10-13 发布日期:2017-10-13
  • 通讯作者: 李全

Study of personalized question recommendation method based on unified probalilistic matrix factorization

  • Received:2017-08-23 Revised:2017-10-13 Online:2017-10-13

摘要: 近年来随着在线教育中试题资源数量爆炸式的增长,学生很难在海量的试题资源中找到合适的试题。因此面向学生的试题推荐方法应运而生。然而,传统的基于概率矩阵分解的试题推荐方法没有考虑学生的知识点掌握信息,导致推荐结果准确率低的问题。为此,提出了一种基于联合概率矩阵分解的个性化试题推荐方法,该方法首先通过认知诊断模型得到的学生知识点掌握信息,然后结合学生、试题和知识点三者信息进行联合概率矩阵分解,最后根据难度范围进行试题推荐。实验结果表明,与其他传统推荐方法相比较,所提方法在不同难度试题推荐的准确率上取得了较好的推荐结果,具有良好的应用前景。

关键词: 在线教育, 试题资源, 推荐系统, 联合概率矩阵分解, 认知诊断

Abstract: In recent years, the number of question resources in online education has grown at an explosive rate. It is difficult for student to find the appropriate questions in the mass of question resources. Therefore, the method of question recommendation for student is proposed to solve this problem. However, many problems exist in traditional question recommendation methods based on unified probalilistic matrix factorization, especially for the fact that lots of information of student knowledge points is not considered, resulting in some questions of low accuracy of recommendation results. Therefore, this paper proposes a kind of personalized question recommendation method based on unified probalilistic matrix factorization. Firstly, this method obtains the informaiton of student knowledge points by the cognitive diagnosis model. Secondly, the processes of unified probalilistic matrix factorization is executed by combining students, questions and knowledge points. Finally, the questions are recommended according to range of difficulty. The experimental results show that the proposed method gets the best recommedation results in the aspect of accuracy of question recommendation in different range of difficulty, compared to other traditional recommendation methods, and has a good application prospect.

Key words: online education, question resource, recommendation system, unified probalilistic matrix factorization, cognitive diagnosis

中图分类号: