{ "protocol": "Both fields truncated to the same rank, then matched blind from a spectral start with exact refinement. Hidden pairing generated per trial and read only for scoring.", "label": "synthetic-watershed", "size": 256, "chance": 0.00390625, "rows": [ { "rank": 4, "correlation": 0.9016677754313268, "recovery": 0.0625, "visual_effective_rank": 44.86571084196529 }, { "rank": 8, "correlation": 0.9058447537972105, "recovery": 0.12890625, "visual_effective_rank": 71.3420544398913 }, { "rank": 16, "correlation": 0.9281446653770646, "recovery": 0.9557291666666666, "visual_effective_rank": 95.72603497323556 }, { "rank": 32, "correlation": 0.9282073730691501, "recovery": 0.9375, "visual_effective_rank": 109.47942916160699 }, { "rank": 64, "correlation": 0.9284208632987705, "recovery": 0.9583333333333334, "visual_effective_rank": 106.31167521180129 }, { "rank": 128, "correlation": 0.9284791170404748, "recovery": 0.9609375, "visual_effective_rank": 106.04029186749484 }, { "rank": 256, "correlation": 0.928480988366389, "recovery": 0.9583333333333334, "visual_effective_rank": 106.03700034539153 } ], "reading": "Recovery collapsing at low rank while the correlation stays above the recovery threshold shows the headline correlation is not sufficient and the shared spectrum's width is the binding constraint." }