E1 halting-gate machinery (adapter, trainer, gated eval) + pre-registration item 18
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
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@@ -359,3 +359,21 @@ on GSM alone in the correct regime, delivers no usable gain and the
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standard fidelity damage; combined with the scope note, the boundary
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claim (structural: supervision density + state-evolution bottleneck)
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is fully supported.
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18. **E1: learned per-prompt halting gate (pre-registered 2026-07-16
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~00:20, before any arm runs; PLAN_SELFPACED.md).** HaltingMergeAdapter:
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frozen-recipe merge + ACT-style halting head on the last prompt
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position's workspace state; soft state-mixture training, CE + lambda *
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E[iters], penalty warmup at step 100; NO difficulty curriculum (mixed
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batches — the gate must discover the allocation). k_max=4, e400/e600
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checkpoints, deploy = sequential halting at 0.5 cumulative mass,
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generation via frozen-prompt at per-item k*. Arms: lambda in
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{0, 1e-3, 1e-2}, seed 0. Eval: 250 items, vs anchors k=0 (0.488),
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uniform merge k=4 (0.512/0.885/0.464), probe-gate E0 (0.520/0.975/0.286).
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Predictions: (a) some lambda gives overall >= 0.512 at mean E[k] <=
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2.4 (60% of uniform-4); (b) easy >= 0.95 at that lambda; (c) k*-vs-hard
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point-biserial r > 0.3; (d) hard >= 0.286 (beats E0's frozen probe).
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Collapse (E[k] pinned at 1 or 4 for all lambda) falsifies E1 and
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triggers the plan's kill criterion. lambda=0 control isolates whether
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the CE gradient alone moves the gate (expected: barely — penalty
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provides the pressure).
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