{
  "schema_version": 2,
  "title": "Reproduction: A Fully First-Order Layer for Differentiable Optimization",
  "emoji": "⚙️",
  "space_id": "amkkk/repro-a-fully-first-order-layer-for-differentiable-optimization",
  "paper": {
    "arxiv_id": "2512.02494",
    "openreview_id": "jJur8Fq7IK"
  },
  "tags": [
    "icml2026-repro",
    "paper-jJur8Fq7IK"
  ],
  "updated_at": "2026-08-01T20:48:18+00:00",
  "root": {
    "slug": "index",
    "title": "Reproduction: A Fully First-Order Layer for Differentiable Optimization",
    "file": "pages/index.md",
    "children": [
      {
        "slug": "executive-summary",
        "title": "Executive summary",
        "file": "pages/executive-summary/page.md",
        "children": []
      },
      {
        "slug": "claim-1-algorithm",
        "title": "Claim 1: ε-approximate hypergradient with an active-set Lagrangian oracle",
        "file": "pages/claim-1-algorithm/page.md",
        "children": []
      },
      {
        "slug": "claim-2-ghost-bilevel",
        "title": "Claim 2: ghost bilevel reformulation (Theorem 4.1)",
        "file": "pages/claim-2-ghost-bilevel/page.md",
        "children": []
      },
      {
        "slug": "claim-3-complexity",
        "title": "Claim 3: O(δ⁻¹ε⁻³) oracle complexity and general convex constraints",
        "file": "pages/claim-3-complexity/page.md",
        "children": []
      },
      {
        "slug": "claim-4-qp-sudoku",
        "title": "Claim 4: synthetic QP and 9×9 Sudoku LP benchmarks",
        "file": "pages/claim-4-qp-sudoku/page.md",
        "children": []
      },
      {
        "slug": "claim-5-implementation",
        "title": "Claim 5: objective-agnostic PyTorch FFOLayer",
        "file": "pages/claim-5-implementation/page.md",
        "children": []
      },
      {
        "slug": "claim-6-lpgd",
        "title": "Claim 6: FFOLayer vs LPGD and Hessian-free backward",
        "file": "pages/claim-6-lpgd/page.md",
        "children": []
      },
      {
        "slug": "conclusion",
        "title": "Conclusion",
        "file": "pages/conclusion/page.md",
        "children": []
      }
    ]
  },
  "traces": [],
  "workspace": {
    "file": "workspace.json",
    "file_count": 0,
    "total_size": 0,
    "bucket_id": null
  },
  "agent_view_tokens": 7937,
  "trace_view_tokens": 10,
  "workspace_view_tokens": 8,
  "revision": "b0ccebb1d0b7af9b7032"
}