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>
25 lines
1.2 KiB
Plaintext
25 lines
1.2 KiB
Plaintext
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== proposed (projection)
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group states E: S_E > 1/2 R: S_R > 1/2 (R defined)
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APS 1429 36.0% 37.7% 977
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CHA fun1 83 18.1% 38.2% 68
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CHA flat fun3-6 1763 18.9% 77.1% 1703
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CHA other 237 50.6% 72.4% 192
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AUC, flat states against: E R
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APS 0.447 0.691
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CHA fun1 0.529 0.771
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CHA other 0.344 0.408
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== reading (3), as for m>=2
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group states E: S_E > 1/2 R: S_R > 1/2 (R defined)
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APS 990 19.0% 6.2% 536
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CHA fun1 36 13.9% 9.5% 21
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CHA flat fun3-6 659 27.9% 18.0% 599
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CHA other 204 54.9% 68.6% 159
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AUC, flat states against: E R
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APS 0.460 0.656
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CHA fun1 0.512 0.674
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CHA other 0.310 0.219
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bars: m>=2 fires 0.2% canonical / 5.8% flat; successive-ratio similarity AUC 0.28-0.42
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