# Dynamic Bayesian Item Response Model with Decomposition (D-BIRD): Modeling Cohort and Individual Learning Over Time

arXiv: https://arxiv.org/abs/2506.21723 · HTML: https://mlsanity.com/paper/2506.21723/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 26 Jun 2025.

## Built on by (most cited first, 1 of 1)

- [UNVaMP: Neural Knowledge Tracing with Variational Regularization of Latent Knowledge Dynamics](https://mlsanity.com/paper/2608.03811/) (2026)

## Abstract (arXiv)

We present D-BIRD, a Bayesian dynamic item response model for estimating student ability from sparse, longitudinal assessments. By decomposing ability into a cohort trend and individual trajectory, D-BIRD supports interpretable modeling of learning over time. We evaluate parameter recovery in simulation and demonstrate the model using real-world personalized learning data.