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vvsandClaude Opus 5 d754689480 Outcome of PREREG_empty_step: both features FAIL by the declared criteria. Empty step (similarity of |f_n| to |f_n-1|): AUC 0.45/0.53/0.34 (proposed) and 0.46/0.51/0.31 (reading 3) against APS/fun1/other CHA; on the proposed rule it fires MORE on APS (36.0%) than on the flat families (18.9%). Repeating pattern with the period chosen from the data: separates the flat families from APS and fun1 (AUC 0.69/0.77 and 0.66/0.67; fires 77.1% vs 37.7%/38.2%, and 18.0% vs 6.2%/9.5%) but not from the other CHA families (AUC 0.41 and 0.22; fires 72.4% and 68.6%), so R1 fails and no rule is built.
Seen after the result and therefore NOT claimed: the 'other' group contains fun7 = x exp(-1/x^2), itself a flat function whose derivatives all vanish at the root. A fair re-test needs a new pre-registration with flatness defined in advance by a property of f (f'(r) = 0), not by the grouping that just failed.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
2026-09-21 11:23:47 +01:00
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