Fractional cyber-neural systems – a brief survey

Emily Reed, Sarthak Chatterjee, Guilherme Ramos, Paul Bogdan, Sérgio Pequito

wrongmedium confidence

Category: math.DS
Journal tier: Specialist/Solid
Processed: Sep 28, 2025, 12:56 AM
arXiv Links: Abstract ↗PDF ↗

Audit review

The paper’s finite-sample OLS bound for the p-augmented LTI approximation is printed with a multiplicative factor √(K λ_min(W_k)) instead of the necessary 1/√(K λ_min(W_k)), which would make the estimation error grow with K; see the stated (40) and sample-size condition (41) in the PDF , with setup and definitions in (34)–(39) . The candidate solution derives the standard, consistent bound using self-normalized martingale inequalities and a k-block small-ball argument, and correctly identifies the missing inverse scaling, along with the appropriate role of the controllability Gramian and the elliptical potential.

Referee report (LaTeX)

\textbf{Recommendation:} major revisions

\textbf{Journal Tier:} specialist/solid

\textbf{Justification:}

The central identification bound (40) is printed with incorrect K-scaling, undermining the result. Although likely a typographical error, it affects a headline theorem. The paper also omits a proof or explicit, targeted citations for the self-normalized and small-ball steps. Correcting (40), clarifying the role of the noise input matrix in the Gramian, and adding a brief derivation or precise references would resolve the issues and enhance trustworthiness.