From 4f7ee05cc3b072478062e53645af016861c4b529 Mon Sep 17 00:00:00 2001 From: YurenHao0426 Date: Sat, 1 Aug 2026 17:59:32 -0500 Subject: The failure is the optimiser, not the information: a 257x faster descent and a benchmark The gate settles which failure mode each field is in, and refutes the symmetry hypothesis I proposed. On the caption-omitted field the truth is a STRICT local minimum -- descent started at the truth does not move at all -- the anchor bound says the information is 99.7% intact, and our solver stops 0.44 above it at 4.9% accuracy. That is a pure optimiser failure. Natural data is the opposite: descent from the truth falls a further 0.167, so the truth is not even locally optimal, which is the information-deficit signature the 0.291 bound predicted. Steepest descent was brute-forcing all 32,640 candidate permutations through the full energy every step, including a batched cube trace with the triangle term active -- 203 seconds per descent, which is why the gates were hopeless. The pairwise term needs one matrix product for the whole table: swapping p,q changes the alignment sum by 2(C_pq + C_qp - C_pp - C_qq + 2 A_pq B_pq) with C = A @ B. Verified against brute force to 1e-9 before use, and the fast descent reaches the same optimum. 203s -> 0.79s. Adds a matching benchmark with known-reachable answers and the solver families never tried on these fields: Gromov-Wasserstein, entropic GW with an annealed regulariser, BAPG. Co-Authored-By: Claude --- logs/battery.log | 7 +++++++ 1 file changed, 7 insertions(+) create mode 100644 logs/battery.log (limited to 'logs/battery.log') diff --git a/logs/battery.log b/logs/battery.log new file mode 100644 index 0000000..6030612 --- /dev/null +++ b/logs/battery.log @@ -0,0 +1,7 @@ + +=== omit-size-BOUND0.997 (N=256, chance=0.0039) + grampa (current) raw=0.0169 refined=0.0443 (0.0s) + umeyama raw=0.0052 refined=0.0143 (0.0s) + gromov-wasserstein raw=0.0182 refined=0.0221 (0.1s) +/home/yurenh2/.local/lib/python3.13/site-packages/ot/bregman/_sinkhorn.py:666: UserWarning: Sinkhorn did not converge. You might want to increase the number of iterations `numItermax` or the regularization parameter `reg`. + warnings.warn( -- cgit v1.2.3