2507.20179
Ensemble-Based Estimation of Alzheimer’s Disease Incidence from Dynamic Population Reconstructions
Giulia Bertaglia, Elisa Iacomini, Alex Viguerie
incompletemedium confidence
- Category
- Not specified
- Journal tier
- Specialist/Solid
- Processed
- Sep 28, 2025, 12:57 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
The paper’s main claim (existence/uniqueness of the Tikhonov solution with R = I ⊗ C) and intended reasoning are correct, but the written proof contains a sign error in the Hessian (reported as 2(ATA − βRTR) rather than 2(ATA + βRTR)) and omits a clean justification that RTR ≻ 0 in the Kronecker construction. The candidate model provides a complete, correct derivation, including a rigorous SPD proof for RTR and the augmented least-squares equivalence.
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions
\textbf{Journal Tier:} specialist/solid
\textbf{Justification:}
The work integrates established inverse-problem techniques into a timely epidemiological application and is generally correct. However, the proof of the main existence/uniqueness result contains a sign typo in the Hessian and skips a short but essential justification that RTR is SPD under the Kronecker construction. These are straightforward to fix and do not affect the main claims or results.