vvsandClaude Opus 5
b677283afc
S-ablation of A' (server): A' with each of the nine similarity functions in the step - tent 4443 on the paper protocol (13032 over 855 problems), the nearest other function e^-|z| 4988 (+12%; +9% over six corpora), quadratic ones 18410-18422 (+315%); ranking as the contraction law predicts; guarantee held with every S. The audit of section 7 rerun on the regenerated sweeps (APS unchanged: triple by shape -493 with the tent, +250 with 1/sqrt(1+z^2); defect -283 vs +215). Text: abstract and section 3 no longer call the similarity scaffolding - the tent making the step Newton's is a property of the similarity chosen; a paragraph in section 7 on the audit; Table 9a; new 8.6 'What is known, and what is new' - Lagouanelle (the order estimate of 7.1 / 10.5), Rall and Hansen-Patrick (8.1), the log-log slope / COC / ACOC (8.2, formula 6), Schroeder and Traub (the split 7 = false position on sign(f)|f|^(1/m)), Brent's acceptance condition (half), Dekker/Brent (tolerance step); what we found no counterpart for is the decision layer by similarity and analogy and the step set by a similarity whose form is decisive. References 13-19. verify_article: Table 9a, the percentages and the audit numbers added; server 446 OK, 0 BAD; regression x2 1226 passed, 0 failed. Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
12 lines
987 B
Plaintext
12 lines
987 B
Plaintext
A' with S in the step - totals per corpus (violations of the 2x bound)
|
|
ratio APS 2259 CHA 1074 NEW 3290 RJL 1371 APP 1382 D 3656 all 13032 (viol 0)
|
|
exp_abs APS 2762 CHA 1203 NEW 3497 RJL 1427 APP 1501 D 3752 all 14142 (viol 0)
|
|
rational APS 2873 CHA 1551 NEW 3614 RJL 1456 APP 1538 D 3811 all 14843 (viol 0)
|
|
ratio_soft APS 5715 CHA 1534 NEW 7118 RJL 2628 APP 4407 D 7098 all 28500 (viol 0)
|
|
sqrt APS 9432 CHA 2181 NEW 11325 RJL 3887 APP 7518 D 11209 all 45552 (viol 0)
|
|
cbrt APS 13432 CHA 2662 NEW 15590 RJL 5269 APP 10948 D 15130 all 63031 (viol 0)
|
|
rat_sq APS 14497 CHA 2955 NEW 15992 RJL 5743 APP 11078 D 17129 all 67394 (viol 0)
|
|
exp_sq APS 14481 CHA 2948 NEW 16000 RJL 5806 APP 11068 D 17398 all 67701 (viol 0)
|
|
cosine APS 14496 CHA 2991 NEW 16016 RJL 5751 APP 11090 D 17510 all 67854 (viol 0)
|
|
ablation S done
|