新模型融合隐含与显式知识,更精准诊断学生知识点掌握情况。
Concept-Aware Latent and Explicit Knowledge Integration for Enhanced Cognitive Diagnosis
- 用多维向量表示学生对每个知识点的掌握程度,提升表征能力。
- 通过注意力机制生成隐式Q矩阵,补全原始稀疏二值矩阵的缺失关系。
- 结合隐式与显式知识,显著提升诊断准确率,适合智能教育场景。
认知诊断可基于历史答题记录推断学生对特定知识点的掌握情况。然而,现有认知诊断模型(CDMs)以单一维度表示学生能力,无法全面评估各知识点的掌握程度。同时,传统Q矩阵将习题与知识点的关系二值化,难以体现隐含关联。当知识点粒度细化时,Q矩阵愈发不完整,稀疏二值表示无法捕捉知识点间的复杂关系。为此,我们提出概念感知的隐式与显式知识融合模型(CLEKI-CD)。具体而言,从多个角度构建学生对每个知识点的掌握与习题难度的多维向量,增强模型表征能力;提出基于注意力的知识聚合方法生成隐式Q矩阵,揭示习题对潜在知识点的覆盖程度;隐式Q矩阵补充显式稀疏矩阵中的缺失关系,缓解知识覆盖不足问题;并引入联合认知诊断层融合隐式与显式知识,进一步提升诊断性能。在真实数据集上的大量实验表明,CLEKI-CD优于现有最先进模型。该模型在智能教育领域具有广阔应用前景,诊断结果具备良好可解释性。
原文摘要 · Abstract (English)
Cognitive diagnosis can infer the students' mastery of specific knowledge concepts based on historical response logs. However, the existing cognitive diagnostic models (CDMs) represent students' proficiency via a unidimensional perspective, which can't assess the students' mastery on each knowledge concept comprehensively. Moreover, the Q-matrix binarizes the relationship between exercises and knowledge concepts, and it can't represent the latent relationship between exercises and knowledge concepts. Especially, when the granularity of knowledge attributes refines increasingly, the Q-matrix becomes incomplete correspondingly and the sparse binary representation (0/1) fails to capture the intricate relationships among knowledge concepts. To address these issues, we propose a Concept-aware Latent and Explicit Knowledge Integration model for cognitive diagnosis (CLEKI-CD). Specifically, a multidimensional vector is constructed according to the students' mastery and exercise difficulty for each knowledge concept from multiple perspectives, which enhances the representation capabilities of the model. Moreover, a latent Q-matrix is generated by our proposed attention-based knowledge aggregation method, and it can uncover the coverage degree of exercises over latent knowledge. The latent Q-matrix can supplement the sparse explicit Q-matrix with the inherent relationships among knowledge concepts, and mitigate the knowledge coverage problem. Furthermore, we employ a combined cognitive diagnosis layer to integrate both latent and explicit knowledge, further enhancing cognitive diagnosis performance. Extensive experiments on real-world datasets demonstrate that CLEKI-CD outperforms the state-of-the-art models. The proposed CLEKI-CD is promising in practical applications in the field of intelligent education, as it exhibits good interpretability with diagnostic results.
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