{
  "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"
}