pages/index.md

# Reproduction: A Random Matrix Theory Perspective on the Consistency of Diffusion Models

## Pages

| Page |
| --- |
| [Executive summary](#/executive-summary) |
| [Claim 1: Linear model predicts cross-split consistency](#/claim-1-linear-model-predicts-cross-split-consistency) |
| [Claim 2: Self-consistency equation and renormalized noise](#/claim-2-self-consistency-equation-and-renormalized-noise) |
| [Claim 3: Variance factorization (anisotropy x inhomogeneity)](#/claim-3-variance-factorization-anisotropy-x-inhomogeneity) |
| [Claim 4: Fractional matrix power extension to sampling trajectories](#/claim-4-fractional-matrix-power-extension-to-sampling-trajectories) |
| [Claim 5: Deep network validation (toy scale)](#/claim-5-deep-network-validation-toy-scale) |
| [Claim 6: Deep network validation (scoped toy scale, CIFAR10 only)](#/claim-6-deep-network-validation-scoped-toy-scale-cifar10-only) |
| [Conclusion](#/conclusion) |