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{
"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",
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}
]
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