Update logbook: Reproduction: Provable Accuracy Collapse of Embedding-Based Representations under Dimensionality Mismatch

logbook.json

@@ -11,7 +11,7 @@
     "icml2026-repro",
     "paper-ubzXPEfa4R"
   ],
-  "updated_at": "2026-07-18T14:16:18+00:00",
+  "updated_at": "2026-07-21T17:22:48+00:00",
   "root": {
     "slug": "index",
     "title": "Reproduction: Provable Accuracy Collapse of Embedding-Based Representations under Dimensionality Mismatch",
@@ -25,19 +25,19 @@
       },
       {
         "slug": "claim-1-low-dim-half-violations",
-        "title": "For contrastive learning with triplets, there exists constant c < 1 such that every embedding of dimension at most cD violates half of the triplets",
+        "title": "Claim 1: Low-dim embeddings violate half the triplets",
         "file": "pages/claim-1-low-dim-half-violations/page.md",
         "children": []
       },
       {
         "slug": "claim-2-sudden-accuracy-collapse",
-        "title": "Accuracy undergoes sudden collapse unless embedding dimension is chosen close to ground-truth dimension D",
+        "title": "Claim 2: Sudden accuracy collapse vs ground-truth D",
         "file": "pages/claim-2-sudden-accuracy-collapse/page.md",
         "children": []
       },
       {
         "slug": "claim-3-ugc-hardness",
-        "title": "Under Unique Games Conjecture, no polynomial-time algorithm can achieve accuracy above 50% baseline when given triplets mismatched to embedding dimension",
+        "title": "Claim 3: UGC hardness above 50% baseline",
         "file": "pages/claim-3-ugc-hardness/page.md",
         "children": []
       },
@@ -50,5 +50,5 @@
     ]
   },
   "agent_view_tokens": 1771,
-  "revision": "1784384178877706000"
+  "revision": "1784654568592658100"
 }