retag: logbook.json (verbatim titles)

logbook.json

@@ -1,54 +1,57 @@
-{
-  "schema_version": 1,
-  "title": "Reproduction: Provable Accuracy Collapse of Embedding-Based Representations under Dimensionality Mismatch",
-  "emoji": "📉",
-  "space_id": "snaykey/repro-embedding-collapse",
-  "paper": {
-    "arxiv_id": "2605.03346",
-    "openreview_id": "ubzXPEfa4R"
-  },
-  "tags": [
-    "icml2026-repro",
-    "paper-ubzXPEfa4R"
-  ],
-  "updated_at": "2026-07-21T17:22:48+00:00",
-  "root": {
-    "slug": "index",
-    "title": "Reproduction: Provable Accuracy Collapse of Embedding-Based Representations under Dimensionality Mismatch",
-    "file": "pages/index.md",
-    "children": [
-      {
-        "slug": "executive-summary",
-        "title": "Executive summary",
-        "file": "pages/executive-summary/page.md",
-        "children": []
-      },
-      {
-        "slug": "claim-1-low-dim-half-violations",
-        "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": "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": "Claim 3: UGC hardness above 50% baseline",
-        "file": "pages/claim-3-ugc-hardness/page.md",
-        "children": []
-      },
-      {
-        "slug": "conclusion",
-        "title": "Conclusion",
-        "file": "pages/conclusion/page.md",
-        "children": []
-      }
-    ]
-  },
-  "agent_view_tokens": 1771,
-  "revision": "1784654568592658100"
+{
+  "schema_version": 1,
+  "title": "Repro: Provable Accuracy Collapse under Dimensionality Mismatch",
+  "emoji": "chart",
+  "space_id": "snaykey/repro-embedding-collapse",
+  "paper": {
+    "openreview_id": "ubzXPEfa4R"
+  },
+  "tags": [
+    "icml2026-repro",
+    "paper-ubzXPEfa4R"
+  ],
+  "updated_at": "2026-07-26T00:00:00+00:00",
+  "root": {
+    "slug": "index",
+    "title": "Repro: Provable Accuracy Collapse under Dimensionality Mismatch",
+    "file": "pages/index.md",
+    "children": [
+      {
+        "slug": "executive-summary",
+        "title": "Executive summary",
+        "file": "pages/executive-summary/page.md",
+        "children": []
+      },
+      {
+        "slug": "claim-1-theorem-1-3-dimension-induced-accuracy-collapse",
+        "title": "For every integer D ≥ 240 and ε > 0, there exists a triplet constraint collection that is realizable in dimension D but for which any embedding in at most c·D dimensions satisfies at most a 1/2+ε fraction of the triplets (Theorem 1.3).",
+        "file": "pages/claim-1-theorem-1-3-dimension-induced-accuracy-collapse/page.md",
+        "children": []
+      },
+      {
+        "slug": "claim-2-proof-strategy-realizability-and-vc-argument",
+        "title": "The proof of accuracy collapse proceeds by constructing random average-case triplet instances shown to be satisfiable in D dimensions via Lemma 2.3 and Lemma 2.5, then bounding the achievable accuracy in reduced dimension d ≈ ε²D using a VC-dimension argument (Lemma 2.6, Section 2.3).",
+        "file": "pages/claim-2-proof-strategy-realizability-and-vc-argument/page.md",
+        "children": []
+      },
+      {
+        "slug": "claim-3-ugc-hardness-via-mas-gap-reduction",
+        "title": "Under the Unique Games Conjecture, distinguishing triplet instances with (1−ε)-fraction satisfiability from instances with only 1/2+ε-fraction satisfiability is NP-hard regardless of the embedding dimension used, via a gap reduction from Maximum Acyclic Subgraph (Theorem 1.4, Theorem 3.1, Theorem 3.2, Section 3).",
+        "file": "pages/claim-3-ugc-hardness-via-mas-gap-reduction/page.md",
+        "children": []
+      },
+      {
+        "slug": "claim-4-experiments-ground-truth-and-random-triplets",
+        "title": "Experiments with ground-truth Euclidean embeddings and uniformly random triplets empirically confirm the predicted sharp accuracy collapse as embedding dimension falls below the ground-truth dimension D (Figure 1, Figure 2, Section 4).",
+        "file": "pages/claim-4-experiments-ground-truth-and-random-triplets/page.md",
+        "children": []
+      },
+      {
+        "slug": "conclusion",
+        "title": "Conclusion",
+        "file": "pages/conclusion/page.md",
+        "children": []
+      }
+    ]
+  }
 }