论文标题

知识追踪复杂问题解决:基于颗粒等级的张量分解

Knowledge Tracing for Complex Problem Solving: Granular Rank-Based Tensor Factorization

论文作者

Wang, Chunpai, Sahebi, Shaghayegh, Zhao, Siqian, Brusilovsky, Peter, Moraes, Laura O.

论文摘要

知识追踪(KT)旨在模拟学生知识水平并预测其表现,是用户建模最重要的应用之一。现代KT使用模型,并根据学生在尝试这些问题时的历史表现,以一组课程概念来保持学生知识的最新状态。但是,KT方法旨在通过观察智能辅导系统中相对较小的解决问题的步骤来建模知识。尽管这些方法通过观察学生解决方案的简单问题而成功地应用了学生的知识来建模,但它们在对学生中的复杂问题进行建模方面表现不佳。在本文中,我们认为并非所有尝试在发现学生的知识状态都非常重要,并且可以一起汇总一些尝试以更好地代表学生的表现。我们提出了一种新颖的学生知识追踪方法,基于颗粒状的张量分解(GRATE),该方法动态选择了可以汇总的学生尝试,同时可以预测学生在问题中的表现并发现其中提出的概念。在学生绩效预测的任务下,我们在三个现实世界数据集上进行的实验表明,与最先进的基线相比,与最先进的基线相比,炉排的性能提高。我们的进一步分析表明,尝试聚集消除了学生发现的知识状态的不必要波动,并有助于发现问题中的复杂潜在概念。

Knowledge Tracing (KT), which aims to model student knowledge level and predict their performance, is one of the most important applications of user modeling. Modern KT approaches model and maintain an up-to-date state of student knowledge over a set of course concepts according to students' historical performance in attempting the problems. However, KT approaches were designed to model knowledge by observing relatively small problem-solving steps in Intelligent Tutoring Systems. While these approaches were applied successfully to model student knowledge by observing student solutions for simple problems, they do not perform well for modeling complex problem solving in students.M ost importantly, current models assume that all problem attempts are equally valuable in quantifying current student knowledge.However, for complex problems that involve many concepts at the same time, this assumption is deficient. In this paper, we argue that not all attempts are equivalently important in discovering students' knowledge state, and some attempts can be summarized together to better represent student performance. We propose a novel student knowledge tracing approach, Granular RAnk based TEnsor factorization (GRATE), that dynamically selects student attempts that can be aggregated while predicting students' performance in problems and discovering the concepts presented in them. Our experiments on three real-world datasets demonstrate the improved performance of GRATE, compared to the state-of-the-art baselines, in the task of student performance prediction. Our further analysis shows that attempt aggregation eliminates the unnecessary fluctuations from students' discovered knowledge states and helps in discovering complex latent concepts in the problems.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源