From 735f9c7fd202d0eaed9183094d84d365e0e5404d Mon Sep 17 00:00:00 2001 From: YurenHao0426 Date: Sat, 1 Aug 2026 16:20:35 -0500 Subject: Test the new instruments; fix an O(1/n) bias in the degree decomposition Four tests around today's additions. Two failed on first run and both were worth having. The degree decomposition left an O(1/n) residual on a field that is purely additive: excluding the diagonal makes the two-way design unbalanced, so one pass of row and column means does not remove a pure degree effect. Swept to convergence instead. At N=256 the correction moves the reported variance shares by under 0.001, so the refutation of the hubness hypothesis stands unchanged -- but the instrument that produced it now does what it claims. The other failure was the test's own scale: two random 16-dimensional subspaces of R^64 overlap above 0.7 by chance, which is why the real measurements are made at N=256 where the null sits at 1.0. Co-Authored-By: Claude --- artifacts/vg_5k/np_struct128.json | 11 +++++++++++ 1 file changed, 11 insertions(+) create mode 100644 artifacts/vg_5k/np_struct128.json (limited to 'artifacts/vg_5k/np_struct128.json') diff --git a/artifacts/vg_5k/np_struct128.json b/artifacts/vg_5k/np_struct128.json new file mode 100644 index 0000000..c035e3b --- /dev/null +++ b/artifacts/vg_5k/np_struct128.json @@ -0,0 +1,11 @@ +{ + "protocol": "Continuous states, content projection fitted per modality on scenes outside the evaluated set. Hidden pairs are read only for the correlation.", + "samples": 256, + "views": 1, + "kept_directions": 64, + "weight_power": 0.5, + "moment_degree": 2, + "phrase_encoding": "structured", + "field_correlation_at_truth": 0.7252267991153296, + "recovery_threshold": 0.9 +} \ No newline at end of file -- cgit v1.2.3