{
  "schema_version": 2,
  "title": "Reproduction: A Fully First-Order Layer for Differentiable Optimization",
  "emoji": "🔬",
  "space_id": "Jaycee766/repro-a-fully-first-order-layer-for-differentiable-optimization",
  "paper": {
    "openreview_id": "jJur8Fq7IK",
    "arxiv_id": "2512.02494"
  },
  "tags": [
    "icml2026-repro",
    "paper-jJur8Fq7IK"
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  "updated_at": "2026-08-02T15:43:02+00:00",
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    "title": "Reproduction: A Fully First-Order Layer for Differentiable Optimization",
    "file": "pages/index.md",
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      {
        "slug": "executive-summary",
        "title": "Executive summary",
        "file": "pages/executive-summary/page.md",
        "children": []
      },
      {
        "slug": "claim-1-first-order-hypergradient-oracle-alg-1",
        "title": "Claim 1: First-order hypergradient oracle (Alg. 1)",
        "file": "pages/claim-1-first-order-hypergradient-oracle-alg-1/page.md",
        "children": []
      },
      {
        "slug": "claim-2-ghost-bilevel-preserves-hypergradient-thm-4-1",
        "title": "Claim 2: Ghost bilevel preserves hypergradient (Thm 4.1)",
        "file": "pages/claim-2-ghost-bilevel-preserves-hypergradient-thm-4-1/page.md",
        "children": []
      },
      {
        "slug": "claim-3-oracle-complexity",
        "title": "Claim 3: Oracle complexity Õ(δ⁻¹ε⁻³)",
        "file": "pages/claim-3-oracle-complexity/page.md",
        "children": []
      },
      {
        "slug": "claim-4-matches-cvxpylayer-qpth-on-qp-and-sudoku",
        "title": "Claim 4: Matches CvxpyLayer/qpth on QP and Sudoku",
        "file": "pages/claim-4-matches-cvxpylayer-qpth-on-qp-and-sudoku/page.md",
        "children": []
      },
      {
        "slug": "claim-5-objective-agnostic-pytorch-api-c-detach-df-dy",
        "title": "Claim 5: Objective-agnostic PyTorch API (c := detach(dF/dy*))",
        "file": "pages/claim-5-objective-agnostic-pytorch-api-c-detach-df-dy/page.md",
        "children": []
      },
      {
        "slug": "claim-6-outperforms-lpgd-without-hessian-inversion",
        "title": "Claim 6: Outperforms LPGD without Hessian inversion",
        "file": "pages/claim-6-outperforms-lpgd-without-hessian-inversion/page.md",
        "children": []
      },
      {
        "slug": "conclusion",
        "title": "Conclusion",
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