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 --- logs/amplify.log | 6 ++++++ 1 file changed, 6 insertions(+) (limited to 'logs/amplify.log') diff --git a/logs/amplify.log b/logs/amplify.log index f397d0a..f775312 100644 --- a/logs/amplify.log +++ b/logs/amplify.log @@ -1,2 +1,8 @@ === omit-size (N=256, chance=0.0039) + trial 0: ladders=[0.242, 0.152, 0.207] picked-by-energy=0.2070 + trial 1: ladders=[0.02, 0.059, 0.035] picked-by-energy=0.0195 + trial 2: ladders=[0.277, 0.273, 0.016] picked-by-energy=0.2734 + MEAN selected-by-energy=0.1667 (oracle ladder choice would give 0.1927) + +=== synth-full (N=256, chance=0.0039) -- cgit v1.2.3