arXiv:cs.LG· Tao He, Jinxing Xiang, Fan Jiang·· 3 小时前AI 评分32
CLEAN:通过架构隔离实现概念空间扩展下心理测量一致的增量认知诊断
CLEAN: Psychometrically Consistent Incremental Cognitive Diagnosis under Concept-Space Expansion via Architectural Isolation
AI 导读
针对增量认知诊断中概念空间扩展导致历史诊断被覆盖的问题,研究者提出 CLEAN 框架,通过严格拓扑二分协议冻结历史诊断函数并施加确定性正交列掩码,切断梯度干扰,同时用可扩展满秩分支学习新概念。在三个大规模教育数据集上,CLEAN 实现零 Representation Drift,旧题指标与静态锚点完全一致,新题表现与强持续学习基线相当或更优。
正文
Abstract:Cognitive diagnosis (CD) is a fundamental task in intelligent education that profiles learner proficiency over knowledge concepts. In real-world learning platforms, newly added items continually introduce previously unseen concepts, necessitating dynamic expansion of the underlying concept space. Yet existing incremental CD models assume a fixed concept space, allowing gradients from new items to overwrite historical pathways and induce catastrophic forgetting. More critically, these methods rely solely on soft constraints to preserve historical diagnoses. Such constraints may fail to satisfy the requirement of diagnostic invariance after incremental updates, a requirement known as psychometric consistency in cognitive diagnosis. Therefore, we propose CLEAN (Continual Learning with Expandable and Architecturally Isolated Networks), a novel incremental CD framework supporting concept-space expansion while providing structural guarantees for pointwise invariance of historical diagnoses. Specifically, CLEAN first introduces a strict topological bipartition protocol, freezes historical diagnostic functions and applies deterministic orthogonal column masking to sever gradient interference. Second, to accommodate concept expansion, expandable full-rank branches with micro-variance initialization are deployed to learn novel concepts. Finally, to verify that this architectural design achieves invariance by construction, we formalize Representation Drift (RD) to quantify the perturbation of historical traits. Extensive experiments on three large-scale educational datasets demonstrate that CLEAN achieves zero RD, preserving old-item metrics identically to static anchors through architectural isolation while remaining competitive with or superior to strong continual-learning baselines on new items.
| Comments: | 11 pages, 7 figures |
| Subjects: | Machine Learning (cs.LG) |
| Cite as: | arXiv:2610.02278 [cs.LG] |
| (or arXiv:2610.02278v1 [cs.LG] for this version) | |
| https://doi.org/10.48550/arXiv.2610.02278 arXiv-issued DOI via DataCite (pending registration) |
Submission history
From: Xiang Jinxing [view email]
[v1]
Thu, 1 Oct 2026 10:49:01 UTC (10,004 KB)
来源:arXiv:cs.LG · arxiv.org