论文标题
深入的知识跟踪学习曲线
Deep Knowledge Tracing with Learning Curves
论文作者
论文摘要
知识追踪(KT)最近是计算教学法的积极研究领域。任务是根据他们过去对问题的回答来对学生的掌握知识概念的掌握水平进行建模,并预测他们将来正确回答后续问题的概率。历史上使用统计建模方法(例如贝叶斯推理和因素分析)解决了KT任务,但是深度学习的最新进展导致了连续的建议,这些建议利用了深层的神经网络,包括长期短期记忆网络,记忆启动的网络和自我意见网络。尽管这些深层模型表现出优于传统方法的卓越性能,但它们都忽略了学习曲线理论的明确建模,该理论通常说,对同一知识概念的更多实践可以增强人们对概念的精通水平。基于这个理论,我们提出了本文中卷积的知识追踪(CAKT)模型。该模型采用三维卷积神经网络,在下一个问题中明确了解学生在应用相同知识概念方面的最新经验,并将学习功能与代表她使用经典LSTM网络获得的整体潜在知识状态融合在一起。然后将融合功能馈入第二个LSTM网络,以预测学生对下一个问题的回答。实验结果表明,与现有模型相比,CAKT在预测学生的反应方面实现了新的最新性能。我们还进行了广泛的灵敏度分析和消融研究,以显示结果的稳定性并分别证明CAKT的特定结构是合理的。
Knowledge tracing (KT) has recently been an active research area of computational pedagogy. The task is to model students' mastery level of knowledge concepts based on their responses to the questions in the past, as well as predict the probabilities that they correctly answer subsequent questions in the future. KT tasks were historically solved using statistical modeling methods such as Bayesian inference and factor analysis, but recent advances in deep learning have led to the successive proposals that leverage deep neural networks, including long short-term memory networks, memory-augmented networks and self-attention networks. While those deep models demonstrate superior performance over the traditional approaches, they all neglect the explicit modeling of the learning curve theory, which generally says that more practice on the same knowledge concept enhances one's mastery level of the concept. Based on this theory, we propose a Convolution-Augmented Knowledge Tracing (CAKT) model in this paper. The model employs three-dimensional convolutional neural networks to explicitly learn a student's recent experience on applying the same knowledge concept with that in the next question, and fuses the learnt feature with the feature representing her overall latent knowledge state obtained using a classic LSTM network. The fused feature is then fed into a second LSTM network to predict the student's response to the next question. Experimental results show that CAKT achieves the new state-of-the-art performance in predicting students' responses compared with existing models. We also conduct extensive sensitivity analysis and ablation study to show the stability of the results and justify the particular architecture of CAKT, respectively.