Precision-induced path selection instability in real-world DAG motifs

Ascertain whether floating‑point rounding instabilities observed when distinguishing Search Path Entropy (SPE) and Search Path Count (SPC) path weights in highly symmetric lattice DAGs also occur in real-world directed acyclic graphs; specifically, determine if motifs such as symmetric diamonds or near‑parallel ladders induce path-weight near-degeneracy and cause main-path selection to change due to rounding errors.

Background

The paper reports that in lattice DAGs, floating‑point computations can misidentify the number of SPE-critical nodes or select different optimal paths compared to exact arithmetic, revealing sensitivity to numerical precision at high-symmetry points.

The authors note that certain simple motifs (e.g., diamonds or ladders) can lead to near-degenerate path weights, and explicitly state uncertainty about whether similar precision-related instabilities arise in real-world networks, motivating further investigation.