Concept

Adaptive Depth Gating for Prerequisite Retrieval

Adaptive depth gating is a per-query controller that sets the ancestor traversal depth dd_\uparrow and descendant traversal depth dd_\downarrow as a function of the hierarchy level (v)\ell(v^\star) of the top dense seed and the dense-score contrast Δ=s1s5\Delta = s_1 - s_5 between the top and fifth dense scores. From base depths d(0)d_\uparrow^{(0)} and d(0)d_\downarrow^{(0)}, the controller adds an indicator when (v)\ell(v^\star) is high (pushing dd_\uparrow up) or low (pushing dd_\downarrow up), and adds an indicator when Δ\Delta is large (more upward depth) or small (more downward depth), with floors of 11 and 00 respectively. Across the studied benchmarks (LectureBank-Full, QASC, HotpotQA boundary probe), adaptive gating remains statistically tied to a fixed-depth hierarchical baseline once interfaces and splits are matched, so it is treated as an optional extension rather than a core claim.

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Updated 2026-05-17

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Auditable Strict-Parity Evaluation of Prerequisite-Graph Retrieval for RAG under Leakage Controls