Transferability of oracle headroom beyond the evaluated benchmark

Determine whether the positive headroom from regime-aware action representations transfers beyond the U3 synthetic benchmark and beyond the four action sets L0–L3 evaluated for ARC-Agent.

Background

The paper evaluates the value of perfect latent-regime information under four increasingly expressive action sets: L0 through L3. It finds that measured headroom depends strongly on the action representation, with wider action sets producing substantially larger gains. However, the evidence is confined to the U3 synthetic environment and the four specified action sets, so the broader generality of this finding remains unresolved.

References

Unresolved: whether this headroom transfers beyond U3 or beyond the four action sets shown.

— Verify Claims, Not Scores: Evidence-Based Verification of Modular Agents  (2610.01348 - Alzahrani, 1 Oct 2026) in Appendix, Section 'Oracle hierarchy', Figure caption

Its control effect remains an empirical question: return also depends on horizon and reward sensitivity, and the definition is relative to the state--action distribution induced by $\pi$, so policy improvement requires coverage of the new distribution or a fresh estimate of $\varepsilon$.

— Considering Context: When World Models Need Context Encoders  (2610.06651 - Smirnov et al., 5 Oct 2026) in Section 3, subsection “Predictive sufficiency” (Theoretical Framework)