From 22acd2899958def0d103f11da49c2c4a499be773 Mon Sep 17 00:00:00 2001 From: YurenHao0426 Date: Sat, 1 Aug 2026 21:37:55 -0500 Subject: The missing term was unary: omit-size solved at its ceiling in 1.4s Adversarial review of the artifacts found three of my numbers to be artifacts of my own code. All three reproduced here before acceptance: - anchor_bound presented probe rows in the same index order on both sides, so exact twins had their tie broken onto the diagonal. 0.997 -> 0.920 on omit-size. Fixed by scrambling the T-side presentation. - The truth is not a strict local minimum: 51 transpositions have exactly zero energy delta. fast_pair_descent only looked stationary because its break test treats zero as no-improvement. - scipy's FAQ takes no n_init, so it was swallowed into unknown_options and 'FAQ x30 restarts' computed bit-identically to plain FAQ. Replaced with a real restart loop over P0='randomized'. The blind ceiling for omit-size is 0.836, not 1.0: the text field has 51 exact transposition automorphisms, so T[s,s] is bitwise identical to T and no objective f(V, P T P^T) can separate an orbit at any order. Every synthetic accuracy was being divided by the wrong denominator. The fifteen failed solvers share one property -- all purely quadratic or purely spectral, none with a node-level term. Eight moments of each node's own field row, blended with the quadratic term through Frank-Wolfe, reach 0.837 with an energy gap of exactly zero. The term must stay in the loop: as a seed for pure-quadratic descent it scores 0.21, pinned through the iterations it scores 0.84 -- which is also why amplification plateaued, being itself pure-quadratic. Co-Authored-By: Claude --- .../eval_voteanchor_vs_bestE.log | 34 ++++++++++++++++++++++ 1 file changed, 34 insertions(+) create mode 100644 artifacts/spectral_frontier_probe/eval_voteanchor_vs_bestE.log (limited to 'artifacts/spectral_frontier_probe/eval_voteanchor_vs_bestE.log') diff --git a/artifacts/spectral_frontier_probe/eval_voteanchor_vs_bestE.log b/artifacts/spectral_frontier_probe/eval_voteanchor_vs_bestE.log new file mode 100644 index 0000000..c2bd82f --- /dev/null +++ b/artifacts/spectral_frontier_probe/eval_voteanchor_vs_bestE.log @@ -0,0 +1,34 @@ + +##### hidden seed 11: 150 ICP sols in 200s, E(truth)=0.3396, best member E=0.6569 acc=0.172 + ROUTE A (descend 5 lowest-E, blind pick): E=0.5863 acc=0.277 + m=10 K= 12 prec=0.333 expand=0.102 -> descent acc=0.320 E=0.6184 + m=10 K= 25 prec=0.333 expand=0.168 -> descent acc=0.324 E=0.6279 + m=10 K= 50 prec=0.255 expand=0.184 -> descent acc=0.793 E=0.3544 + m=10 K=100 prec=0.193 expand=0.172 -> descent acc=0.770 E=0.3900 + m=30 K= 12 prec=0.455 expand=0.211 -> descent acc=0.535 E=0.4867 + m=30 K= 25 prec=0.292 expand=0.195 -> descent acc=0.754 E=0.4163 + m=30 K= 50 prec=0.227 expand=0.188 -> descent acc=0.695 E=0.4357 + m=30 K=100 prec=0.172 expand=0.184 -> descent acc=0.773 E=0.3837 + m=60 K= 12 prec=0.455 expand=0.086 -> descent acc=0.094 E=0.7738 + m=60 K= 25 prec=0.375 expand=0.164 -> descent acc=0.133 E=0.6840 + m=60 K= 50 prec=0.244 expand=0.098 -> descent acc=0.066 E=0.7911 + m=60 K=100 prec=0.171 expand=0.113 -> descent acc=0.086 E=0.7412 + ROUTE B (blind pick by energy over the 12 cells): m=10 K=50 E=0.3544 acc=0.793 [best cell by accuracy was 0.793] + wall 492s + +##### hidden seed 23: 150 ICP sols in 559s, E(truth)=0.3396, best member E=0.3684 acc=0.691 + ROUTE A (descend 5 lowest-E, blind pick): E=0.3396 acc=0.852 + m=10 K= 12 prec=0.917 expand=0.703 -> descent acc=0.855 E=0.3396 + m=10 K= 25 prec=0.680 expand=0.520 -> descent acc=0.758 E=0.3792 + m=10 K= 50 prec=0.583 expand=0.484 -> descent acc=0.777 E=0.3543 + m=10 K=100 prec=0.505 expand=0.492 -> descent acc=0.848 E=0.3396 + m=30 K= 12 prec=0.917 expand=0.656 -> descent acc=0.812 E=0.3466 + m=30 K= 25 prec=0.920 expand=0.723 -> descent acc=0.809 E=0.3396 + m=30 K= 50 prec=0.673 expand=0.691 -> descent acc=0.816 E=0.3644 + m=30 K=100 prec=0.558 expand=0.547 -> descent acc=0.797 E=0.3593 + m=60 K= 12 prec=0.833 expand=0.504 -> descent acc=0.785 E=0.3468 + m=60 K= 25 prec=0.792 expand=0.734 -> descent acc=0.820 E=0.3396 + m=60 K= 50 prec=0.667 expand=0.641 -> descent acc=0.836 E=0.3433 + m=60 K=100 prec=0.524 expand=0.496 -> descent acc=0.844 E=0.3569 + ROUTE B (blind pick by energy over the 12 cells): m=30 K=25 E=0.3396 acc=0.809 [best cell by accuracy was 0.855] + wall 752s -- cgit v1.2.3