tied-alpha outcome: all predictions confirmed; free B causally isolated as fidelity culprit
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
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@@ -244,3 +244,15 @@ prompts. Free-ACT via state-cosine therefore yields no early exit at this
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threshold, and no ACT-like difficulty allocation falls out for free —
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output-level halting signals would be needed. Paper's dynamics claims
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softened accordingly.
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--- Outcome, item 14 (scored 2026-07-15): ALL THREE PREDICTIONS CONFIRMED.
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(a) Fidelity fully preserved: easy 93.4/91.0/90.2 at k=2/4/8 (merge:
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92.6/88.5; parcae with identical decay freedom but untied B: ~71%) —
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the free B is causally isolated as the fidelity culprit, the anchoring
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tie as the protection. (b) Hard at merge level exactly (35.7/42.9/39.3 =
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merge's k-curve within noise); no gain from the freedom. (c) Learned a
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essentially unmoved: mean 0.298, range [0.285, 0.310], 0/1536 dims moved
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>0.05 from init — the anchor coefficient is not a useful learnable DOF;
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hand-tuned 0.3 was already optimal. Recipe consequence: fixed-alpha
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anchored merge is the recommended design; learnable-alpha safe but
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pointless, learnable-B harmful, per-depth strands the gain.
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