{
  "schema_version": 1,
  "title": "Reproduction: Near-optimal and Efficient First-Order Algorithm for Multi-Task Learning with Shared Linear Representation",
  "emoji": "🎯",
  "space_id": "ProCreations/repro-near-optimal-and-efficient-first-order-algorithm-for-multi-task-learning-with-shared-linea",
  "paper": {
    "arxiv_id": "2605.00473"
  },
  "tags": [
    "icml2026-repro",
    "paper-TnquAvyTtL"
  ],
  "updated_at": "2026-07-22T20:40:00+00:00",
  "root": {
    "slug": "index",
    "title": "Reproduction: Near-optimal and Efficient First-Order Algorithm for Multi-Task Learning with Shared Linear Representation",
    "file": "pages/index.md",
    "children": [
      {
        "slug": "executive-summary",
        "title": "Executive summary",
        "file": "pages/executive-summary/page.md",
        "children": []
      },
      {
        "slug": "claim-1-tpgd",
        "title": "Claim 1: Two-phase first-order TPGD",
        "file": "pages/claim-1-tpgd/page.md",
        "children": []
      },
      {
        "slug": "claim-2-phase-split",
        "title": "Claim 2: Equal warm-start and regularized phases",
        "file": "pages/claim-2-phase-split/page.md",
        "children": []
      },
      {
        "slug": "claim-3-near-optimal-rate",
        "title": "Claim 3: Near-optimal population rate and factor-k gain",
        "file": "pages/claim-3-near-optimal-rate/page.md",
        "children": []
      },
      {
        "slug": "claim-4-iteration-complexity",
        "title": "Claim 4: Dimension-independent iteration complexity",
        "file": "pages/claim-4-iteration-complexity/page.md",
        "children": []
      },
      {
        "slug": "claim-5-sample-condition",
        "title": "Claim 5: Per-task sample-size condition",
        "file": "pages/claim-5-sample-condition/page.md",
        "children": []
      },
      {
        "slug": "claim-6-transfer-risk",
        "title": "Claim 6: New-task transfer-risk decomposition",
        "file": "pages/claim-6-transfer-risk/page.md",
        "children": []
      },
      {
        "slug": "conclusion",
        "title": "Conclusion",
        "file": "pages/conclusion/page.md",
        "children": []
      }
    ]
  },
  "agent_view_tokens": 1250,
  "revision": "1784752800000000000"
}