From 58b9c84dae293359f498fdf6afd533df5c9d3c25 Mon Sep 17 00:00:00 2001 From: Yuren Hao Date: Sat, 1 Aug 2026 14:45:16 -0500 Subject: Landscape reshaping does not substitute for field correlation A rank-truncation ladder from four to full rank returns chance accuracy at the natural-data correlation of 0.656, as does full-rank spectral initialisation with refinement. Coarse-to-sharp smoothing widens basins and thins decoys, and recovers nothing, so below the polynomial threshold the deficit is information the algorithm class cannot use rather than a basin it cannot find. Solver-side candidates should wait on the correlation instead of competing with it. Co-Authored-By: Claude --- LAB_NOTES.md | 22 ++++++++++++++++++++++ 1 file changed, 22 insertions(+) (limited to 'LAB_NOTES.md') diff --git a/LAB_NOTES.md b/LAB_NOTES.md index 8c0e9d5..e6aa208 100644 --- a/LAB_NOTES.md +++ b/LAB_NOTES.md @@ -562,6 +562,28 @@ orbit lever is unavailable on this corpus. See `NATURAL_RESULTS.md`. +## 2026-08-01: landscape reshaping does not substitute for correlation + +At the natural-data field quality of 0.656, every solver returns chance. +Full-rank spectral initialisation gives 0.0039 against 0.0039 chance, +refinement 0.0078, and a rank-truncation ladder from four to full rank +stays at or below chance throughout. Coarse-to-sharp smoothing is the +standard way to widen basins and thin decoys, and it recovers nothing +here. + +The reading is categorical rather than about this one method. Below the +polynomial threshold the deficit is information the algorithm class +cannot exploit, not a basin it fails to locate, so reshaping has nothing +to work with. Solver-side candidates should therefore wait on the +correlation rather than compete with it, and the only non-correlation +lever still open is population size, since the phase boundary is joint +in the two. + +Compute note: NCSA Delta A40 was brought in for the correlation-raising +battery -- larger backbones and finer segmentation over the same corpus +-- with three array tasks starting immediately against a queue of 810, +9,624 GPU-hours remaining on the account. + ## Current experimental gate The node-level ordering-and-basin gate is passed on VG by content-projected -- cgit v1.2.3