Determine whether the resistance ceiling is network-dependent

Determine whether the small practical ceiling of effective-resistance-based reliability scores is a property of effective resistance itself or specifically of the tissue-specific interactomes studied, by repeating the measurement on biological graphs farther from the inverse-degree limit.

Background

The paper finds that effective resistance in the 24 tissue-specific interactomes is largely determined by inverse degree, leaving only a small residual contribution to predicting per-node GraphSAGE loss. The authors note that this limitation may reflect the structure of these particular biological networks rather than an intrinsic limitation of resistance as a reliability descriptor.

The unresolved question is whether biological graphs that lie farther from the inverse-degree regime would provide more room for resistance-based reliability information. The proposed test is to repeat the same measurement on such graphs while retaining the paper’s degree-matched null and permutation-floor controls.

References

The first is whether the ceiling is a property of resistance or of these networks, tested by repeating the measurement on biological graphs further from the inverse-degree limit, where Table~\ref{tab:regimes} predicts more room.

— Effective Resistance and Graph Neural Network Reliability in Tissue-Specific Interactomes  (2610.02175 - Shen, 1 Oct 2026) in Section Discussion and Conclusion, subsection Outlook