| { |
| "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" |
| } |
