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"schema_version": 1,
"title": "Reproduction: A Random Matrix Theory Perspective on the Consistency of Diffusion Models",
"emoji": "🎲",
"space_id": "snaykey/repro-random-matrix-diffusion",
"paper": {
"openreview_id": "iPjuUQbkfl"
},
"tags": [
"icml2026-repro",
"paper-iPjuUQbkfl"
],
"updated_at": "2026-07-20T16:16:30+00:00",
"root": {
"slug": "index",
"title": "Reproduction: A Random Matrix Theory Perspective on the Consistency of Diffusion Models",
"file": "pages/index.md",
"children": [
{
"slug": "executive-summary",
"title": "Executive summary",
"file": "pages/executive-summary/page.md",
"children": []
},
{
"slug": "claim-1-consistency-linear-theory",
"title": "Diffusion models trained on non-overlapping dataset splits generate visually similar samples from the same seed, and the similarity is predicted by a Gaussian linear theory baseline (Figure 1)",
"file": "pages/claim-1-consistency-linear-theory/page.md",
"children": []
},
{
"slug": "claim-2-renormalized-noise-scale",
"title": "Finite-sample covariance effects renormalize the effective noise scale in the expected linear denoiser, causing overshrinkage of low-variance directions (Figure 2)",
"file": "pages/claim-2-renormalized-noise-scale/page.md",
"children": []
},
{
"slug": "claim-3-denoiser-variance-anisotropic",
"title": "The denoiser-variance theory predicts anisotropic, location-dependent cross-split deviations that decay with dataset size (Result 4.2)",
"file": "pages/claim-3-denoiser-variance-anisotropic/page.md",
"children": []
},
{
"slug": "claim-4-sampling-map-deterministic-equivalence",
"title": "The sampling-map analysis gives deterministic-equivalence formulas for expectation and variance over full diffusion trajectories (Results 5.1 and 5.2)",
"file": "pages/claim-4-sampling-map-deterministic-equivalence/page.md",
"children": []
},
{
"slug": "claim-5-unet-dit-validation",
"title": "UNet and DiT experiments validate the theory's predictions about consistency, overshrinkage, and eigenmode-dependent deviations in the non-memorization regime (Figure 5)",
"file": "pages/claim-5-unet-dit-validation/page.md",
"children": []
},
{
"slug": "protocol-and-artifacts",
"title": "Protocol, environment, and artifacts",
"file": "pages/protocol-and-artifacts/page.md",
"children": []
},
{
"slug": "limitations-and-falsification",
"title": "Limitations and falsification attempts",
"file": "pages/limitations-and-falsification/page.md",
"children": []
},
{
"slug": "conclusion",
"title": "Conclusion",
"file": "pages/conclusion/page.md",
"children": []
}
]
},
"agent_view_tokens": 12285,
"revision": "1784564190858606600"
} |