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LectureBank-Full Tight-Budget Advantage of Adaptive Depth Gating (Mean ΔR@k = +2.13 over k∈{1,2,3,4})

On LectureBank-Full, paired-bootstrap deltas between Adaptive (heuristic) depth gating and the fixed-depth hierarchical baseline show that adaptive is most plausible in the tight-budget region. Averaged over k{1,2,3,4}k \in \{1, 2, 3, 4\}, the mean ΔR@k=+2.13\Delta\text{R@}k = +2.13 points, with a 95% paired-bootstrap CI of [0.64,+4.90][-0.64, +4.90]. Because the CI includes zero, the aggregate effect is not statistically distinguishable from zero; the tight-budget benefit is best read as a k=4k=4 pointwise estimate rather than a regime-wide claim. The effect is also weaker than the diffusion-and-quota gain reported elsewhere in the paper.

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Updated 2026-05-18

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