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Open Access Publications from the University of California

Group-Aware Cognitive Diagnosis via Variational Item Response Theory

Creative Commons 'BY' version 4.0 license
Abstract

Group-level cognitive diagnosis is fundamental in educational assessment, where examinees are organized into groups like schools or classes. However, most methods rely on mean-field assumptions that treat students independently, ignoring dependencies induced by shared resources. This oversight yields unstable estimates, particularly under sparse observations. We propose Group-aware Latent Ability Diagnosis (GLAD), a hierarchical variational framework that models within-group dependence via a latent group context while retaining scalable inference. We decompose student ability into a global mean, a group effect, and an individual residual, yielding three variants: a group-conditioned prior, a deterministic effect, and a stochastic effect. For efficient inference, we develop a permutation-invariant encoder to aggregate student representations. Experiments on real-world Eedi data demonstrate consistent improvements over baselines across multiple CDMs.