优化学生认知表示,提升知识追踪模型对答错原因的判断能力。
Improving Question Embeddings with Cognitive Representation Optimization for Knowledge Tracing
- 用动态规划优化认知结构,匹配学生做题难度变化模式。
- 通过协同优化算法,统一调整关联题目的认知表示。
- 融合图嵌入与优化表示,增强模型对学生理解状态的表达能力。
知识追踪旨在基于学生历史答题记录,跟踪其知识掌握状态并预测未来表现。现有方法多依赖未更新的学习交互记录进行预测,忽视答题过程中的干扰因素(如偶然失误或猜测),且假设静态认知表示能完全反映学生的理解水平,导致记录中存在大量不一致和不协调问题。为此,本文提出一种认知表示优化的知识追踪模型(CRO-KT),采用动态规划算法优化认知结构,使其更符合学生在不同难度题目上的认知规律。同时,利用协同优化算法,将具有关联性的子目标题目视为整体,共同优化其认知表示。此外,该模型以加权方式融合二分图中学习到的关系嵌入与优化后的记录表示,显著提升了对学生认知状态的刻画能力。在三个公开数据集上的实验验证了所提方法的有效性。
原文摘要 · Abstract (English)
Designed to track changes in students' knowledge status and predict their future answers based on students' historical answer records. Current research on KT modeling focuses on predicting future student performance based on existing, unupdated records of student learning interactions. However, these methods ignore distractions in the response process (such as slipping and guessing) and ignore that static cognitive representations are temporary and limited. Most of them assume that there are no distractions during the answering process, and that the recorded representation fully represents the student's understanding and proficiency in knowledge. This can lead to many dissonant and uncoordinated issues in the original record. Therefore, we propose a knowledge-tracking cognitive representation optimization (CRO-KT) model that uses dynamic programming algorithms to optimize the structure of cognitive representation. This ensures that the structure matches the student's cognitive patterns in terms of practice difficulty. In addition, we use a synergistic optimization algorithm to optimize the cognitive representation of sub-target exercises based on the overall picture of exercise responses by considering all exercises with synergistic relationships as one goal. At the same time, the CRO-KT model integrates the relationship embedding learned in the dichotomous graph with the optimized record representation in a weighted manner, which enhances students' cognitive expression ability. Finally, experiments were conducted on three public datasets to verify the effectiveness of the proposed cognitive representation optimization model.
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