{ "protocol": "Effective rank from the participation ratio of each field's spectrum; shared directions from principal angles between the two leading eigenspaces. No pairing enters beyond the alignment the fields already carry.", "width": 32, "rows": [ { "label": "synth-RECOVERS-95pct", "size": 256, "correlation": 0.9284809883663888, "visual_effective_rank": 14.50854049599196, "text_effective_rank": 11.832081486516831, "shared_directions_cos_gt_0.7": 27, "shuffled_null": 1.0, "shared_above_null": 26.0, "principal_cosines_top8": [ 1.0, 1.0, 1.0, 1.0, 1.0, 0.999, 0.999, 0.999 ], "spectrum_profile": [ { "index": 0, "best_text_overlap": 0.9988184979219944 }, { "index": 1, "best_text_overlap": 0.9038254548424662 }, { "index": 2, "best_text_overlap": 0.7738637793117231 }, { "index": 3, "best_text_overlap": 0.7898924505967239 }, { "index": 4, "best_text_overlap": 0.9633572761985347 }, { "index": 5, "best_text_overlap": 0.9667594083538564 }, { "index": 6, "best_text_overlap": 0.8581068112833727 }, { "index": 7, "best_text_overlap": 0.7720408457258224 }, { "index": 8, "best_text_overlap": 0.9451869286586472 }, { "index": 9, "best_text_overlap": 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], "spectrum_profile": [ { "index": 0, "best_text_overlap": 0.8308561390616345 }, { "index": 1, "best_text_overlap": 0.6425639957390433 }, { "index": 2, "best_text_overlap": 0.6401247564780709 }, { "index": 3, "best_text_overlap": 0.5245819731835861 }, { "index": 4, "best_text_overlap": 0.5324575387488661 }, { "index": 5, "best_text_overlap": 0.504776020548726 }, { "index": 6, "best_text_overlap": 0.5017207831704809 }, { "index": 7, "best_text_overlap": 0.26453910202691044 }, { "index": 8, "best_text_overlap": 0.3831674979777484 }, { "index": 9, "best_text_overlap": 0.34779386653289623 }, { "index": 10, "best_text_overlap": 0.2366745915766192 }, { "index": 11, "best_text_overlap": 0.1973585194151871 }, { "index": 12, "best_text_overlap": 0.21439811143331272 }, { "index": 13, "best_text_overlap": 0.2925437897693861 }, { "index": 14, "best_text_overlap": 0.09814723704154468 }, { "index": 15, "best_text_overlap": 0.20755663736183314 } ] }, { "label": "nat-best-0.716", "size": 256, "correlation": 0.7157944505313559, "visual_effective_rank": 39.69132496762981, "text_effective_rank": 47.98422953390366, "shared_directions_cos_gt_0.7": 16, "shuffled_null": 1.0, "shared_above_null": 15.0, "principal_cosines_top8": [ 0.987, 0.978, 0.96, 0.941, 0.934, 0.922, 0.899, 0.89 ], "spectrum_profile": [ { "index": 0, "best_text_overlap": 0.8406807387214822 }, { "index": 1, "best_text_overlap": 0.6748753041856854 }, { "index": 2, "best_text_overlap": 0.7174150319587717 }, { "index": 3, "best_text_overlap": 0.4742164704027202 }, { "index": 4, "best_text_overlap": 0.7105187496542062 }, { "index": 5, "best_text_overlap": 0.5435228035336661 }, { "index": 6, "best_text_overlap": 0.5173316630294161 }, { "index": 7, "best_text_overlap": 0.3720956303455928 }, { "index": 8, "best_text_overlap": 0.4031225977235423 }, { "index": 9, "best_text_overlap": 0.5909531802492844 }, { "index": 10, "best_text_overlap": 0.373881786434362 }, { "index": 11, "best_text_overlap": 0.2816693575587397 }, { "index": 12, "best_text_overlap": 0.21822240451244762 }, { "index": 13, "best_text_overlap": 0.3929212823566225 }, { "index": 14, "best_text_overlap": 0.4024276537497661 }, { "index": 15, "best_text_overlap": 0.2659834432053085 } ] } ], "reading": "The narrow modality is the one to upgrade. A shared count far below both effective ranks means each side is rich but they are rich about different things." }