arXiv:2608.03811cs.LGcs.CY2026-08

UNVaMP通过神经网络建模学生知识动态,兼顾预测精度与可解释性。

UNVaMP: Neural Knowledge Tracing with Variational Regularization of Latent Knowledge Dynamics

  • 用变分正则化建模学生知识状态演化,融合互动数据与内部记忆
  • 在四个数据集上三项表现最优,混合模型仅略逊于纯神经模型
  • 支持不确定性量化和结构化输入,适合需可解释性的教育系统

我们提出统一神经变分能力测量(UNVaMP)框架,通过整合学生-题目交互与内部记忆,生成随时间演化的学生知识隐状态。该方法在三个数据集上,纯神经配置(UNVaMP-MLP)的预测性能优于其他对比模型;而混合配置(UNVaMP-MIRT,采用1PL MIRT测量函数)仅轻微落后,表明可解释性带来的性能损失较小。除高预测精度外,UNVaMP还具备:控制知识状态估计波动性的原则性机制、对知识状态估计的不确定性量化能力,以及支持异构交互特征的灵活输入设计。实验显示,辅助输入能引发UNVaMP-MIRT预测行为的结构化变化,反映其对正确性之外结构的敏感性。模拟研究进一步验证了在受控条件下,UNVaMP能生成合理的行为学知识状态估计。总体表明,UNVaMP既适用于真实教育系统,又能从交互数据中恢复潜在学习结构。

原文摘要 · Abstract (English)

We introduce the Unified Neural Variational Measurement of Proficiency (UNVaMP) architecture, a knowledge tracing method that integrates observed student-item interactions with internal memory to produce evolving latent representations of student knowledge. These representations support accurate predictions of future responses while enabling explicit control over the smoothness of estimated learning trajectories. UNVaMP can be configured as either a purely neural model or a hybrid model that predicts responses through an interpretable measurement function over the latent space. We show that a pure neural configuration (UNVaMP-MLP) achieves the strongest predictive performance among compared models on three out of four datasets. Meanwhile, a hybrid configuration (UNVaMP-MIRT, using a 1PL MIRT measurement function) lags only slightly behind UNVaMP-MLP, indicating that the predictive cost of interpretability is modest. Beyond predictive accuracy, UNVaMP provides the following: a principled mechanism for controlling volatility when estimating student latent variables, quantification of uncertainty over student knowledge state estimates, and flexible input specification that supports heterogeneous student-item interaction features. In addition, the hybrid UNVaMP-MIRT configuration generates interpretable moment-in-time student knowledge state estimates. Using an experimental dataset, we show that auxiliary inputs induce structured changes in the predictive behavior of UNVaMP-MIRT, consistent with sensitivity to underlying structure beyond response correctness. Furthermore, through a simulation study, we show that UNVaMP yields well-behaved knowledge state estimates under controlled measurement conditions. In total, these results indicate that UNVaMP is both useful for real-world education systems and capable of recovering underlying structure from student-item interactions.

知识追踪变分模型可解释性教育AI

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