logbook.json

{
  "schema_version": 1,
  "title": "Repro - Near-Optimal and Efficient First-Order Algorithm for Multi-Task Learning with Shared Linear Representation",
  "emoji": "🎯",
  "space_id": "rdubwiley/near-optimal-and-efficient-first-order-algorithm-repro",
  "paper": {
    "arxiv_id": "2605.00473"
  },
  "tags": [
    "icml2026-repro",
    "paper-TnquAvyTtL"
  ],
  "updated_at": "2026-07-19T02:53:04+00:00",
  "root": {
    "slug": "index",
    "title": "Repro - Near-Optimal and Efficient First-Order Algorithm for Multi-Task Learning with Shared Linear Representation",
    "file": "pages/index.md",
    "children": [
      {
        "slug": "claim-1-first-order-algorithm-for-multi-task-learning-with-shared-linear-representation-converges-in-1-iterations",
        "title": "Claim 1: First-order algorithm for multi-task learning with shared linear representation converges in Õ(1) iterations",
        "file": "pages/claim-1-first-order-algorithm-for-multi-task-learning-with-shared-linear-representation-converges-in-1-iterations/page.md",
        "children": []
      },
      {
        "slug": "claim-2-achieves-near-optimal-estimation-error-of-dk-tn-improving-over-existing-methods-by-factor-k",
        "title": "Claim 2: Achieves near-optimal estimation error of Õ(dk/(TN)) improving over existing methods by factor k",
        "file": "pages/claim-2-achieves-near-optimal-estimation-error-of-dk-tn-improving-over-existing-methods-by-factor-k/page.md",
        "children": []
      },
      {
        "slug": "claim-3-guarantees-computational-efficiency-for-jointly-learning-shared-representation-and-task-specific-parameters",
        "title": "Claim 3: Guarantees computational efficiency for jointly learning shared representation and task-specific parameters",
        "file": "pages/claim-3-guarantees-computational-efficiency-for-jointly-learning-shared-representation-and-task-specific-parameters/page.md",
        "children": []
      },
      {
        "slug": "conclusion",
        "title": "Conclusion",
        "file": "pages/conclusion/page.md",
        "children": []
      }
    ]
  },
  "agent_view_tokens": 6709,
  "revision": "1784429584702297171"
}