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 --- .../nmf_adv_prune_control.log | 21 +++++++++++++++++++++ 1 file changed, 21 insertions(+) create mode 100644 artifacts/spectral_frontier_probe/nmf_adv_prune_control.log (limited to 'artifacts/spectral_frontier_probe/nmf_adv_prune_control.log') diff --git a/artifacts/spectral_frontier_probe/nmf_adv_prune_control.log b/artifacts/spectral_frontier_probe/nmf_adv_prune_control.log new file mode 100644 index 0000000..347318c --- /dev/null +++ b/artifacts/spectral_frontier_probe/nmf_adv_prune_control.log @@ -0,0 +1,21 @@ +--- symNMF seed 1, r=42 + A. symNMF reconstruction, NO pruning (blind) GW 0.0312 -> clean-desc 0.0391 -> true-desc 0.0391 E=0.6405 + B. ORACLE prune worst 1 (thr .5) GW 0.8594 -> clean-desc 0.8594 -> true-desc 0.8672 E=0.3396 + C0. RANDOM single-column drop (col 32, blind) GW 0.8359 -> clean-desc 0.8281 -> true-desc 0.8359 E=0.3396 + C1. RANDOM single-column drop (col 13, blind) GW 0.0469 -> clean-desc 0.0430 -> true-desc 0.0469 E=0.6486 + C2. RANDOM single-column drop (col 18, blind) GW 0.0195 -> clean-desc 0.0156 -> true-desc 0.0156 E=0.6661 + D. both sides symNMF-reconstructed (blind) GW 0.0234 -> clean-desc 0.0234 -> true-desc 0.0234 E=0.6020 +--- symNMF seed 2, r=42 + A. symNMF reconstruction, NO pruning (blind) GW 0.0156 -> clean-desc 0.0156 -> true-desc 0.0156 E=0.6419 + B. ORACLE prune worst 4 (thr .5) GW 0.8203 -> clean-desc 0.8125 -> true-desc 0.8203 E=0.3396 + C0. RANDOM single-column drop (col 32, blind) GW 0.0078 -> clean-desc 0.0078 -> true-desc 0.0078 E=0.6720 + C1. RANDOM single-column drop (col 13, blind) GW 0.0195 -> clean-desc 0.0195 -> true-desc 0.0195 E=0.7034 + C2. RANDOM single-column drop (col 18, blind) GW 0.0039 -> clean-desc 0.0039 -> true-desc 0.0039 E=0.6649 + D. both sides symNMF-reconstructed (blind) GW 0.0156 -> clean-desc 0.0156 -> true-desc 0.0156 E=0.7342 +--- symNMF seed 3, r=42 + A. symNMF reconstruction, NO pruning (blind) GW 0.1328 -> clean-desc 0.1523 -> true-desc 0.1641 E=0.5919 + B. ORACLE prune worst 2 (thr .5) GW 0.0000 -> clean-desc 0.0000 -> true-desc 0.0000 E=0.6669 + C0. RANDOM single-column drop (col 32, blind) GW 0.1211 -> clean-desc 0.1172 -> true-desc 0.1211 E=0.5922 + C1. RANDOM single-column drop (col 13, blind) GW 0.8125 -> clean-desc 0.8203 -> true-desc 0.8203 E=0.3396 + C2. RANDOM single-column drop (col 18, blind) GW 0.0078 -> clean-desc 0.0117 -> true-desc 0.0117 E=0.6752 + D. both sides symNMF-reconstructed (blind) GW 0.8398 -> clean-desc 0.8477 -> true-desc 0.8477 E=0.3396 -- cgit v1.2.3