arXiv — Machine Learning · · 3 min read

Bayesian Networks with Latent Time Embedding for Stage-Aware Causal Modeling of Alzheimer's Disease Progression

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Computer Science > Machine Learning

arXiv:2606.15784 (cs)
[Submitted on 14 Jun 2026]

Title:Bayesian Networks with Latent Time Embedding for Stage-Aware Causal Modeling of Alzheimer's Disease Progression

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Abstract:Alzheimer's disease (AD) progression is often described through the amyloid-tau-neurodegeneration, or AT(N), cascade. However, most longitudinal models represent this cascade either as a fixed sequence of biomarkers or as a black-box forecasting task. This makes it difficult to determine when biologically guided biomarker relationships influence future regional pathology. In this study, we introduce Bayesian Networks with Latent Time Embedding (BN-LTE), a Bayesian structural framework for stage-aware modeling of AD progression. BN-LTE estimates disease pseudotime from baseline biomarker profiles and constrains directed dependencies according to biologically plausible AT(N) ordering. Posterior spline-varying structural equations are then used to link initial multimodal measurements with future annualized regional tau-PET change. Across repeated subject-disjoint evaluations using ADNI data, BN-LTE shows strong spatial reconstruction of tau progression compared with the included forecasting baselines. Beyond spatial reconstruction, BN-LTE recovers posterior stage-varying AT(N)-constrained effects and identifies a mid-pseudotime window of amyloid sensitivity. This window is supported by model-implied g-formula contrasts, root-adjusted AIPW, mechanism-sensitive ablations, and robustness analyses across spline and prior specifications. Overall, these findings position BN-LTE as a Bayesian structural framework for forecasting tau progression while examining stage-dependent AT(N)-cascade mechanisms in observational longitudinal neuroimaging data. Our code is available at this https URL.
Comments: 7 pages, 5 figures
Subjects: Machine Learning (cs.LG); Computational Engineering, Finance, and Science (cs.CE)
Cite as: arXiv:2606.15784 [cs.LG]
  (or arXiv:2606.15784v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2606.15784
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Nguyen Linh Dan Le [view email]
[v1] Sun, 14 Jun 2026 12:33:30 UTC (1,718 KB)
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