rec arm outcome: rho->4.5 (norm-projected churn), prediction (a) confirmed through k=8; k16/32 cancelled
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
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@@ -149,3 +149,17 @@ number for the unified adapter exists at time of writing.
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mean k_conv ≈ 3; hard-labeled items converge SLOWER than easy ones
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(adaptive compute allocates like ACT without any learned halting
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parameter).
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--- Outcome, item 11 (scored 2026-07-15, k=16/32 cells cancelled by
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decision after k<=8): PREDICTION (a) SUBSTANTIALLY CONFIRMED, with one
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twist. The unconstrained arm left contraction immediately (rho(A):
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0.3 -> 3.4 by step 100, plateau ~4.5) yet trained smoothly — per-iteration
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norm-matching converts magnitude explosion into directional churn, so
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"rho>=1 => divergence" becomes "rho>=1 => divergence OR stationary churn"
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under a norm projection. Consequences as predicted: substrate damage
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(easy 98.4 -> ~69% at all k>0, far exceeding any contractive arm's tax),
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val CE flat k=1..16 (stationary, not progressive), hard bucket at
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merge level (35.7/39.3/42.9% at k=2/4/8 — a one-item-per-depth-doubling
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crawl that at k=8 reaches what the contractive merge reaches at k=4,
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never approaching the amortization ceiling from above). 4x parameters
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bought nothing. Depth-monotone computation did not emerge at this budget.
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