{
  "schema_version": 1,
  "title": "Repro - A theory of learning data statistics in diffusion models, from easy to hard",
  "emoji": "🎯",
  "space_id": "tpls/repro-diffusion-data-stats",
  "paper": null,
  "tags": [],
  "updated_at": "2026-07-21T20:52:26+00:00",
  "root": {
    "slug": "index",
    "title": "Repro - A theory of learning data statistics in diffusion models, from easy to hard",
    "file": "pages/index.md",
    "children": [
      {
        "slug": "claim-1-diffusion-denoisers-trained-on-natural-images",
        "title": "Claim 1 — Diffusion denoisers trained on natural images…",
        "file": "pages/claim-1-diffusion-denoisers-trained-on-natural-images/page.md",
        "children": []
      },
      {
        "slug": "claim-2-for-a-k-th-order-cumulant-target",
        "title": "Claim 2 — For a k-th order cumulant target,…",
        "file": "pages/claim-2-for-a-k-th-order-cumulant-target/page.md",
        "children": []
      },
      {
        "slug": "claim-3-if-the-number-of-samples-n-d",
        "title": "Claim 3 — If the number of samples n(d)…",
        "file": "pages/claim-3-if-the-number-of-samples-n-d/page.md",
        "children": []
      },
      {
        "slug": "claim-4-in-a-mixed-cumulant-latent-model-pair-wise",
        "title": "Claim 4 — In a mixed-cumulant latent model, pair-wise…",
        "file": "pages/claim-4-in-a-mixed-cumulant-latent-model-pair-wise/page.md",
        "children": []
      },
      {
        "slug": "claim-5-when-latent-variables-underlying-the-pair-wise",
        "title": "Claim 5 — When latent variables underlying the pair-wise…",
        "file": "pages/claim-5-when-latent-variables-underlying-the-pair-wise/page.md",
        "children": []
      },
      {
        "slug": "claim-6-unconstrained-sgd-exhibits-contraction-dynamics-toward",
        "title": "Claim 6 — Unconstrained SGD exhibits contraction dynamics toward…",
        "file": "pages/claim-6-unconstrained-sgd-exhibits-contraction-dynamics-toward/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": "1784667146255466046"
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