{
  "schema_version": 1,
  "title": "Repro - FOAM: Blocked State Folding for Memory-Efficient LLM Training",
  "emoji": "🎯",
  "space_id": "Umong/repro-foam-state-folding",
  "paper": {
    "arxiv_id": "2512.07112"
  },
  "tags": [
    "icml2026-repro",
    "paper-k7XzObg9Hy"
  ],
  "updated_at": "2026-07-17T12:13:19+00:00",
  "root": {
    "slug": "index",
    "title": "Repro - FOAM: Blocked State Folding for Memory-Efficient LLM Training",
    "file": "pages/index.md",
    "children": [
      {
        "slug": "claim-1-foam-stores-the-predicted-compressed-number-of-optimizer-states",
        "title": "Claim 1: FOAM stores the predicted compressed number of optimizer states",
        "file": "pages/claim-1-foam-stores-the-predicted-compressed-number-of-optimizer-states/page.md",
        "children": []
      },
      {
        "slug": "claim-2-fold-unfold-residuals-recover-the-full-gradient-without-persistent-state",
        "title": "Claim 2: Fold-unfold residuals recover the full gradient without persistent state",
        "file": "pages/claim-2-fold-unfold-residuals-recover-the-full-gradient-without-persistent-state/page.md",
        "children": []
      },
      {
        "slug": "claim-3-the-official-foam-update-matches-the-paper-equations",
        "title": "Claim 3: The official FOAM update matches the paper equations",
        "file": "pages/claim-3-the-official-foam-update-matches-the-paper-equations/page.md",
        "children": []
      },
      {
        "slug": "claim-4-foam-retains-the-primary-log-t-over-square-root-t-convergence-rate",
        "title": "Claim 4: FOAM retains the primary log-T over square-root-T convergence rate",
        "file": "pages/claim-4-foam-retains-the-primary-log-t-over-square-root-t-convergence-rate/page.md",
        "children": []
      },
      {
        "slug": "sources-protocol-and-integrity",
        "title": "Sources, protocol, and integrity",
        "file": "pages/sources-protocol-and-integrity/page.md",
        "children": []
      },
      {
        "slug": "conclusion",
        "title": "Conclusion",
        "file": "pages/conclusion/page.md",
        "children": []
      },
      {
        "slug": "foam-62070-repro",
        "title": "foam-62070-repro",
        "file": "pages/foam-62070-repro/page.md",
        "children": []
      }
    ]
  },
  "agent_view_tokens": 2732,
  "revision": "1784290399834675848"
}