{ "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": 48, "rows": [ { "label": "scenes-256", "size": 256, "correlation": 0.7157944505313559, "visual_effective_rank": 39.69132496762981, "text_effective_rank": 47.98422953390366, "shared_directions_cos_gt_0.7": 23, "principal_cosines_top8": [ 0.992, 0.984, 0.971, 0.963, 0.962, 0.949, 0.94, 0.935 ], "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 } ] }, { "label": "scenes-512", "size": 512, "correlation": 0.720884905640894, "visual_effective_rank": 44.16644435195353, "text_effective_rank": 56.80473066126686, "shared_directions_cos_gt_0.7": 20, "principal_cosines_top8": [ 0.99, 0.973, 0.96, 0.95, 0.938, 0.928, 0.907, 0.903 ], "spectrum_profile": [ { "index": 0, "best_text_overlap": 0.8697350573768952 }, { "index": 1, "best_text_overlap": 0.7200022519825038 }, { "index": 2, "best_text_overlap": 0.7564612333353183 }, { "index": 3, "best_text_overlap": 0.501988106773722 }, { "index": 4, "best_text_overlap": 0.783113379169079 }, { "index": 5, "best_text_overlap": 0.37328195185984525 }, { "index": 6, "best_text_overlap": 0.4801278579299998 }, { "index": 7, "best_text_overlap": 0.383298070449205 }, { "index": 8, "best_text_overlap": 0.47046163940920954 }, { "index": 9, "best_text_overlap": 0.4732632962224147 }, { "index": 10, "best_text_overlap": 0.348622185453265 }, { "index": 11, "best_text_overlap": 0.4225508394457381 }, { "index": 12, "best_text_overlap": 0.21406071363464227 }, { "index": 13, "best_text_overlap": 0.3098353728024743 }, { "index": 14, "best_text_overlap": 0.3400635764036258 }, { "index": 15, "best_text_overlap": 0.23608736474375264 } ] }, { "label": "scenes-1024", "size": 1024, "correlation": 0.6922444253804424, "visual_effective_rank": 49.142293255949674, "text_effective_rank": 62.90043889867087, "shared_directions_cos_gt_0.7": 19, "principal_cosines_top8": [ 0.988, 0.962, 0.949, 0.938, 0.922, 0.916, 0.908, 0.9 ], "spectrum_profile": [ { "index": 0, "best_text_overlap": 0.8301375686311265 }, { "index": 1, "best_text_overlap": 0.6075551782428065 }, { "index": 2, "best_text_overlap": 0.6710977881848478 }, { "index": 3, "best_text_overlap": 0.6555164924250194 }, { "index": 4, "best_text_overlap": 0.6194066121363382 }, { "index": 5, "best_text_overlap": 0.40182630965483374 }, { "index": 6, "best_text_overlap": 0.5020646929681399 }, { "index": 7, "best_text_overlap": 0.3892962240055352 }, { "index": 8, "best_text_overlap": 0.47168546897479857 }, { "index": 9, "best_text_overlap": 0.40763120184534807 }, { "index": 10, "best_text_overlap": 0.44277607795178114 }, { "index": 11, "best_text_overlap": 0.2873332187039861 }, { "index": 12, "best_text_overlap": 0.40798659732142045 }, { "index": 13, "best_text_overlap": 0.3901617780561322 }, { "index": 14, "best_text_overlap": 0.3381332001188724 }, { "index": 15, "best_text_overlap": 0.26462763928061106 } ] } ], "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." }