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 --- artifacts/synth_v1/match_battery3.json | 53 ++++++++++++++++++++++++++++++++++ 1 file changed, 53 insertions(+) create mode 100644 artifacts/synth_v1/match_battery3.json (limited to 'artifacts/synth_v1/match_battery3.json') diff --git a/artifacts/synth_v1/match_battery3.json b/artifacts/synth_v1/match_battery3.json new file mode 100644 index 0000000..ce8c522 --- /dev/null +++ b/artifacts/synth_v1/match_battery3.json @@ -0,0 +1,53 @@ +{ + "protocol": "Blind: the hidden permutation is generated per trial and read only for scoring. Each solver is scored as returned and again after exact steepest-descent refinement.", + "rows": [ + { + "field": "omit-size-BOUND0.997", + "method": "PATH convex-concave", + "raw": 0.005208333333333333, + "refined": 0.00390625, + "seconds": 3.187158743540446, + "failures": [] + }, + { + "field": "omit-size-BOUND0.997", + "method": "moment ladder tr(M^k)", + "raw": 0.006510416666666667, + "refined": 0.01171875, + "seconds": 0.5490624109903971, + "failures": [] + }, + { + "field": "rank8-BOUND0.93", + "method": "PATH convex-concave", + "raw": 0.8046875, + "refined": 0.8658854166666666, + "seconds": 3.164182504018148, + "failures": [] + }, + { + "field": "rank8-BOUND0.93", + "method": "moment ladder tr(M^k)", + "raw": 0.09375, + "refined": 0.21354166666666666, + "seconds": 0.5453250408172607, + "failures": [] + }, + { + "field": "synth-full-BOUND0.99", + "method": "PATH convex-concave", + "raw": 0.9583333333333334, + "refined": 0.9609375, + "seconds": 3.1100974082946777, + "failures": [] + }, + { + "field": "synth-full-BOUND0.99", + "method": "moment ladder tr(M^k)", + "raw": 0.03515625, + "refined": 0.11197916666666667, + "seconds": 0.46936917304992676, + "failures": [] + } + ] +} \ No newline at end of file -- cgit v1.2.3