{
  "schema_version": 2,
  "title": "Reproduction: Provably Data-driven Multiple Hyper-parameter Tuning with Structured Loss Function",
  "emoji": "🎯",
  "space_id": "DineshAI/JnuwpwbZ8D",
  "paper": {
    "arxiv_id": "2602.02406"
  },
  "tags": [
    "icml2026-repro",
    "paper-JnuwpwbZ8D"
  ],
  "updated_at": "2026-07-27T12:00:00+00:00",
  "root": {
    "slug": "universal-proof-index",
    "title": "Reproduction: Provably Data-driven Multiple Hyper-parameter Tuning with Structured Loss Function",
    "file": "pages/universal-proof-index/page.md",
    "children": [
      {
        "slug": "universal-proof-c1",
        "title": "Claim 1: Theorem 4.1 universal FOL proof",
        "file": "pages/universal-proof-c1/page.md",
        "children": []
      },
      {
        "slug": "universal-proof-c2",
        "title": "Claim 2: Theorem 5.1 training-loss proof",
        "file": "pages/universal-proof-c2/page.md",
        "children": []
      },
      {
        "slug": "universal-proof-c3",
        "title": "Claim 3: Theorem 6.1 bilevel proof",
        "file": "pages/universal-proof-c3/page.md",
        "children": []
      },
      {
        "slug": "universal-proof-c4",
        "title": "Claim 4: Theorem 7.2 rational-path proof",
        "file": "pages/universal-proof-c4/page.md",
        "children": []
      },
      {
        "slug": "universal-proof-c5",
        "title": "Claim 5: Theorem 8.1 group LASSO proof",
        "file": "pages/universal-proof-c5/page.md",
        "children": []
      },
      {
        "slug": "universal-proof-c6",
        "title": "Claim 6: Theorem 8.2 fused LASSO proof",
        "file": "pages/universal-proof-c6/page.md",
        "children": []
      },
      {
        "slug": "universal-proof-release",
        "title": "Fixed run, independent audit, and visibility matrix",
        "file": "pages/universal-proof-release/page.md",
        "children": []
      }
    ]
  },
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  "revision": "universal-proof-certificates-2026-07-27"
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