{
  "schema_version": 1,
  "title": "Repro - The Interplay Between Interpolation and Aggregation in Regression: Optimal Sample Complexity",
  "emoji": "🎯",
  "space_id": "tpls/repro-interp-aggregation-regression",
  "paper": null,
  "tags": [],
  "updated_at": "2026-07-22T12:56:32+00:00",
  "root": {
    "slug": "index",
    "title": "Repro - The Interplay Between Interpolation and Aggregation in Regression: Optimal Sample Complexity",
    "file": "pages/index.md",
    "children": [
      {
        "slug": "claim-1-the-paper-defines-the-gamma-graph-dimension",
        "title": "Claim 1 — The paper defines the gamma-graph dimension…",
        "file": "pages/claim-1-the-paper-defines-the-gamma-graph-dimension/page.md",
        "children": []
      },
      {
        "slug": "claim-2-any-interpolator-based-aggregation-using-proper-aggregation",
        "title": "Claim 2 — Any interpolator-based aggregation using proper aggregation…",
        "file": "pages/claim-2-any-interpolator-based-aggregation-using-proper-aggregation/page.md",
        "children": []
      },
      {
        "slug": "claim-3-there-exist-hypothesis-classes-with-graph",
        "title": "Claim 3 — There exist hypothesis classes with γ-graph…",
        "file": "pages/claim-3-there-exist-hypothesis-classes-with-graph/page.md",
        "children": []
      },
      {
        "slug": "claim-4-for-some-hypothesis-classes-with-constant",
        "title": "Claim 4 — For some hypothesis classes with constant…",
        "file": "pages/claim-4-for-some-hypothesis-classes-with-constant/page.md",
        "children": []
      },
      {
        "slug": "claim-5-taking-the-median-of-three-independently",
        "title": "Claim 5 — Taking the median of three independently…",
        "file": "pages/claim-5-taking-the-median-of-three-independently/page.md",
        "children": []
      },
      {
        "slug": "claim-6-proper-learners-require-sample-complexity-d-ln-1",
        "title": "Claim 6 — Proper learners require sample complexity Ω((d_γ/ε)ln(1/ε)),…",
        "file": "pages/claim-6-proper-learners-require-sample-complexity-d-ln-1/page.md",
        "children": []
      },
      {
        "slug": "evaluation-methodology",
        "title": "Evaluation methodology",
        "file": "pages/evaluation-methodology/page.md",
        "children": []
      },
      {
        "slug": "provenance-and-artifacts",
        "title": "Provenance & artifacts",
        "file": "pages/provenance-and-artifacts/page.md",
        "children": []
      }
    ]
  },
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  "revision": "1784724992845026909"
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