2501.06192
A COMPUTATIONAL MODEL OF LEARNING AND MEMORY USING STRUCTURALLY DYNAMIC CELLULAR AUTOMATA
Jeet Singh
incompletemedium confidence
- Category
- math.DS
- Journal tier
- Specialist/Solid
- Processed
- Sep 28, 2025, 12:56 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
The paper defines the update rule ϕ(x) = 1/2·x(D^{-1}C + I), represents rewards by pre‑wired, high‑conductance edges to a specialized reward node, and uses a greedy move to the maximum in the closed neighborhood (including the self‑node), backed only by simulations—not a theorem about shortest‑path or distance‑bounded convergence. The candidate solution refutes two stronger claims (about reaching the target in dist(s,t) steps) that the paper does not actually state, and also adopts a different reward encoding (as a self‑loop at t). While the candidate correctly highlights a genuine pitfall of the r-step greedy rule under the lazy operator (e.g., from a non‑leaf neighbor of t with r = 1 the agent stays put), this does not contradict any formal result in the paper; rather, it exposes missing theoretical guarantees and unclarified modeling choices in the paper. Hence both are incomplete: the paper lacks formal guarantees/assumptions, and the model audits claims that are not present in the paper and relies on a reward encoding that diverges from the paper’s specification.
Referee report (LaTeX)
\textbf{Recommendation:} major revisions \textbf{Journal Tier:} specialist/solid \textbf{Justification:} The paper articulates a compact, biologically motivated computational model and shows strong empirical performance, but lacks formal guarantees and clear, testable propositions about convergence or optimality. Key modeling choices (reward-node integration, allowance of self-moves, and the role of recursion depth r) need precise mathematical specification and analysis. The candidate's counterexamples underscore the need for theory but target claims not actually made in the paper. Substantial revisions clarifying assumptions and adding theoretical results would significantly strengthen the work.