Coordinate-perturbation and integer-weight stability

Characterize the robustness of the Auditable Algebraic Counting Field to coordinate perturbations and determine the stability of its individual integer table weights across training splits and table-pairing seeds.

Background

The Auditable Algebraic Counting Field (ACF) represents apo-protein structures through discretized structural and physicochemical wires, paired lookup tables, and integer multiplicities learned from training data. The paper reports that the deployed representation has not been subjected to coordinate-perturbation robustness tests or analyses of whether individual table weights remain stable when the training split or random pairing seed changes.

Resolving this problem would distinguish the numerical reproducibility of ACF scores from the robustness and reproducibility of the learned representation itself. The paper explicitly notes that bootstrap-seed stability does not address this issue, indicating that perturbation and weight-stability analyses remain separate unresolved questions.