{
  "schema_version": 1,
  "title": "Reproduction: Inverting Data Transformations via Diffusion Sampling",
  "emoji": "🎯",
  "space_id": "rahit/repro-inverting-data-transformations-via-diffusion-sampling",
  "paper": {
    "arxiv_id": "2602.08267"
  },
  "tags": [
    "icml2026-repro",
    "paper-GK89Mi6ZRf"
  ],
  "updated_at": "2026-07-20T22:04:05+00:00",
  "root": {
    "slug": "index",
    "title": "Reproduction: Inverting Data Transformations via Diffusion Sampling",
    "file": "pages/index.md",
    "children": [
      {
        "slug": "executive-summary",
        "title": "Executive summary",
        "file": "pages/executive-summary/page.md",
        "children": []
      },
      {
        "slug": "claim-1-proposition-4-2-tied-derives-trivialized-target-score",
        "title": "Claim 1: Proposition 4.2: TIED derives Trivialized Target Score",
        "file": "pages/claim-1-proposition-4-2-tied-derives-trivialized-target-score/page.md",
        "children": []
      },
      {
        "slug": "claim-2-transformation-inversion-posterior-det-shown",
        "title": "Claim 2: transformation-inversion posterior det shown",
        "file": "pages/claim-2-transformation-inversion-posterior-det-shown/page.md",
        "children": []
      },
      {
        "slug": "claim-3-table-1-mnist-affine-transformations-aff-tied-vae-energy",
        "title": "Claim 3: Table 1: MNIST affine transformations Aff TIED VAE energy",
        "file": "pages/claim-3-table-1-mnist-affine-transformations-aff-tied-vae-energy/page.md",
        "children": []
      },
      {
        "slug": "claim-4-table-1-mnist-homography-transformations-pgl-tied-vae",
        "title": "Claim 4: Table 1: MNIST homography transformations PGL TIED VAE",
        "file": "pages/claim-4-table-1-mnist-homography-transformations-pgl-tied-vae/page.md",
        "children": []
      },
      {
        "slug": "claim-5-table-2-pde-symmetry-inversion-tied-reduces-relative",
        "title": "Claim 5: Table 2: PDE-symmetry inversion TIED reduces relative",
        "file": "pages/claim-5-table-2-pde-symmetry-inversion-tied-reduces-relative/page.md",
        "children": []
      },
      {
        "slug": "claim-6-synthetic-sampling-task-tied-recovers-correct-multimodal",
        "title": "Claim 6: synthetic sampling task TIED recovers correct multimodal",
        "file": "pages/claim-6-synthetic-sampling-task-tied-recovers-correct-multimodal/page.md",
        "children": []
      },
      {
        "slug": "conclusion",
        "title": "Conclusion",
        "file": "pages/conclusion/page.md",
        "children": []
      }
    ]
  },
  "agent_view_tokens": 12211,
  "revision": "1784585045594188215"
}