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/battery3.log | 13 +++++++++++++ 1 file changed, 13 insertions(+) create mode 100644 logs/battery3.log (limited to 'logs/battery3.log') diff --git a/logs/battery3.log b/logs/battery3.log new file mode 100644 index 0000000..08804ad --- /dev/null +++ b/logs/battery3.log @@ -0,0 +1,13 @@ + +=== omit-size-BOUND0.997 (N=256, chance=0.0039) + PATH convex-concave raw=0.0052 refined=0.0039 (3.2s) + moment ladder tr(M^k) raw=0.0065 refined=0.0117 (0.5s) + +=== rank8-BOUND0.93 (N=256, chance=0.0039) + PATH convex-concave raw=0.8047 refined=0.8659 (3.2s) + moment ladder tr(M^k) raw=0.0938 refined=0.2135 (0.5s) + +=== synth-full-BOUND0.99 (N=256, chance=0.0039) + PATH convex-concave raw=0.9583 refined=0.9609 (3.1s) + moment ladder tr(M^k) raw=0.0352 refined=0.1120 (0.5s) +{"done": true} -- cgit v1.2.3