From ad8819a63e632e0ba7364c56127e1f31b832530f Mon Sep 17 00:00:00 2001
From: YurenHao0426 <Blackhao0426@gmail.com>
Date: Sat, 1 Aug 2026 16:37:01 -0500
Subject: Close the backbone row: the prediction held

DINOv2-large, twice the depth of base and wider, leaves the shared count
at exactly 15 and moves the correlation by less than the segmentation
noise floor. Four vision-side interventions now raise the vision field's
own rank and leave the intersection alone.

The cheap tier of the register is exhausted. What remains is a corpus
chosen for naturally wide overlap, promoted to the central bet, and the
unbalanced formulation, promoted to the critical path since such a
corpus is unlikely to arrive in bijection.

Co-Authored-By: Claude <noreply@anthropic.com>
---
 artifacts/vg_5k/shared_rank_backbone.json | 179 ++++++++++++++++++++++++++++++
 1 file changed, 179 insertions(+)
 create mode 100644 artifacts/vg_5k/shared_rank_backbone.json

(limited to 'artifacts/vg_5k/shared_rank_backbone.json')

diff --git a/artifacts/vg_5k/shared_rank_backbone.json b/artifacts/vg_5k/shared_rank_backbone.json
new file mode 100644
index 0000000..85f8270
--- /dev/null
+++ b/artifacts/vg_5k/shared_rank_backbone.json
@@ -0,0 +1,179 @@
+{
+  "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": "dinov2-base",
+      "size": 256,
+      "correlation": 0.7309253746041529,
+      "visual_effective_rank": 39.354355315104065,
+      "text_effective_rank": 48.51028021023378,
+      "shared_directions_cos_gt_0.7": 16,
+      "shuffled_null": 1.0,
+      "shared_above_null": 15.0,
+      "principal_cosines_top8": [
+        0.989,
+        0.97,
+        0.961,
+        0.958,
+        0.935,
+        0.929,
+        0.919,
+        0.916
+      ],
+      "spectrum_profile": [
+        {
+          "index": 0,
+          "best_text_overlap": 0.8752914618130935
+        },
+        {
+          "index": 1,
+          "best_text_overlap": 0.7113889267529432
+        },
+        {
+          "index": 2,
+          "best_text_overlap": 0.6474520213694175
+        },
+        {
+          "index": 3,
+          "best_text_overlap": 0.4561670462980055
+        },
+        {
+          "index": 4,
+          "best_text_overlap": 0.7889444327260163
+        },
+        {
+          "index": 5,
+          "best_text_overlap": 0.4798210203235249
+        },
+        {
+          "index": 6,
+          "best_text_overlap": 0.5388775689204454
+        },
+        {
+          "index": 7,
+          "best_text_overlap": 0.38535987856698345
+        },
+        {
+          "index": 8,
+          "best_text_overlap": 0.35775238981774193
+        },
+        {
+          "index": 9,
+          "best_text_overlap": 0.40119867473784454
+        },
+        {
+          "index": 10,
+          "best_text_overlap": 0.2947247041857286
+        },
+        {
+          "index": 11,
+          "best_text_overlap": 0.35693618856678805
+        },
+        {
+          "index": 12,
+          "best_text_overlap": 0.3374522541229742
+        },
+        {
+          "index": 13,
+          "best_text_overlap": 0.24867975139657714
+        },
+        {
+          "index": 14,
+          "best_text_overlap": 0.24833229549726515
+        },
+        {
+          "index": 15,
+          "best_text_overlap": 0.3646745592021869
+        }
+      ]
+    },
+    {
+      "label": "dinov2-large",
+      "size": 256,
+      "correlation": 0.7089623334444308,
+      "visual_effective_rank": 34.09936031350298,
+      "text_effective_rank": 48.51028021023378,
+      "shared_directions_cos_gt_0.7": 16,
+      "shuffled_null": 1.0,
+      "shared_above_null": 15.0,
+      "principal_cosines_top8": [
+        0.991,
+        0.969,
+        0.961,
+        0.956,
+        0.935,
+        0.92,
+        0.912,
+        0.906
+      ],
+      "spectrum_profile": [
+        {
+          "index": 0,
+          "best_text_overlap": 0.8501366463451905
+        },
+        {
+          "index": 1,
+          "best_text_overlap": 0.702180071463519
+        },
+        {
+          "index": 2,
+          "best_text_overlap": 0.7558696816944022
+        },
+        {
+          "index": 3,
+          "best_text_overlap": 0.5885227667993027
+        },
+        {
+          "index": 4,
+          "best_text_overlap": 0.686980306019425
+        },
+        {
+          "index": 5,
+          "best_text_overlap": 0.4753734481010367
+        },
+        {
+          "index": 6,
+          "best_text_overlap": 0.514674338549242
+        },
+        {
+          "index": 7,
+          "best_text_overlap": 0.36351201198898186
+        },
+        {
+          "index": 8,
+          "best_text_overlap": 0.6277398229978914
+        },
+        {
+          "index": 9,
+          "best_text_overlap": 0.3043972557562218
+        },
+        {
+          "index": 10,
+          "best_text_overlap": 0.38398700857650125
+        },
+        {
+          "index": 11,
+          "best_text_overlap": 0.2633551172681774
+        },
+        {
+          "index": 12,
+          "best_text_overlap": 0.37175039776017144
+        },
+        {
+          "index": 13,
+          "best_text_overlap": 0.3640902133116658
+        },
+        {
+          "index": 14,
+          "best_text_overlap": 0.23400241918530762
+        },
+        {
+          "index": 15,
+          "best_text_overlap": 0.30808914881072025
+        }
+      ]
+    }
+  ],
+  "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."
+}
\ No newline at end of file
-- 
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