2508.01478
Hyperparameter-Free Neurochaos Learning Algorithm for Classification
Akhila Henry, Nithin Nagaraj
correctmedium confidence
- Category
- Not specified
- Journal tier
- Specialist/Solid
- Processed
- Sep 28, 2025, 12:57 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
The paper states Lemma 1 that the first boundary-aligned occurrence of N = a1…ad in Champernowne’s constant c = 0.123456789101112… begins after dN − (10 + 10^2 + … + 10^{d−1}) − 1 digits from the decimal point, and cites an external source for the detailed proof . The candidate solution independently derives exactly the same closed form by counting digits by length and a telescoping identity. The paper’s statement is correct for the intended boundary-aligned notion of occurrence, though the proof is deferred; the model’s derivation is complete and correct.
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions
\textbf{Journal Tier:} specialist/solid
\textbf{Justification:}
The lemma on the first boundary-aligned occurrence of N in Champernowne’s constant is correctly stated and crucial to the application, but the current paper only cites an external source for the proof. Given how short and elementary the proof is, a brief in-paper sketch would improve self-containment and clarity. Terminology around “occurrence” should explicitly mean block-aligned to avoid substring ambiguities. With these clarifications, the presentation supporting the application would be solid.