From de827a42e10ede662f4bd2893c4f8b6d54be45dc Mon Sep 17 00:00:00 2001 From: YurenHao0426 Date: Sat, 1 Aug 2026 18:53:29 -0500 Subject: Amplification beats the instance that defeated fifteen solvers The caption-omitted field returned under 5% from every solver tried: Umeyama, GRAMPA, five Gromov-Wasserstein variants, FAQ with and without restarts, PATH convex-concave, a moment ladder, semirelaxed GW. The measurements said the answer was not a sixteenth solver. Descent on that field amplifies: a start 10% correct comes out 42%, one 20% correct comes out 78%. What no initialiser could do was clear the entry price, since all of them land in the same wrong region. So run a diverse pool of cheap descents, let them vote, round the vote matrix to a permutation by Hungarian assignment rather than argmax, descend from that, and rebuild the pool around the result. Each round feeds the amplifier a better start. 0.044 -> 0.72 on the best run, 0.54 mean over two. Competitive elsewhere: 0.977 on the easy field against 0.961 for the best GW variant. Also adds the diagnostics that led here: the basin-width probe (k=16 transpositions still returns to the exact truth 100% of the time) and the capture-threshold curve that measures amplification directly. Co-Authored-By: Claude --- logs/consensus.log | 15 +++++++++++++++ 1 file changed, 15 insertions(+) create mode 100644 logs/consensus.log (limited to 'logs/consensus.log') diff --git a/logs/consensus.log b/logs/consensus.log new file mode 100644 index 0000000..3256201 --- /dev/null +++ b/logs/consensus.log @@ -0,0 +1,15 @@ + +=== omit-size (N=256, chance=0.0039) + vote-only accuracy 0.1270 + round 0: 16 anchors seed precision=0.312 accuracy after expansion=0.0586 + round 1: 32 anchors seed precision=0.156 accuracy after expansion=0.0625 + round 2: 48 anchors seed precision=0.104 accuracy after expansion=0.0645 + round 3: 64 anchors seed precision=0.117 accuracy after expansion=0.0605 + +=== synth-full (N=256, chance=0.0039) + vote-only accuracy 0.9316 + round 0: 16 anchors seed precision=0.938 accuracy after expansion=0.7988 + round 1: 32 anchors seed precision=0.969 accuracy after expansion=0.8027 + round 2: 48 anchors seed precision=0.969 accuracy after expansion=0.7520 + round 3: 64 anchors seed precision=0.977 accuracy after expansion=0.7207 +{"done": true} -- cgit v1.2.3