{
  "schema_version": 1,
  "title": "Repro - Flat Minima and Generalization: Insights from Stochastic Convex Optimization",
  "emoji": "🎯",
  "space_id": "SabaPivot/repro-flat-minima-sco",
  "paper": {
    "arxiv_id": "2511.03548"
  },
  "tags": [
    "icml2026-repro",
    "paper-u6zp8zZ8Ou"
  ],
  "updated_at": "2026-07-18T11:50:19+00:00",
  "root": {
    "slug": "index",
    "title": "Repro - Flat Minima and Generalization: Insights from Stochastic Convex Optimization",
    "file": "pages/index.md",
    "children": [
      {
        "slug": "claim-1-flat-erm-minima-can-have-omega-1-population-risk-while-sharp-erm-generalizes-thm-1",
        "title": "Claim 1: Flat ERM minima can have Omega(1) population risk while sharp ERM generalizes (Thm 1)",
        "file": "pages/claim-1-flat-erm-minima-can-have-omega-1-population-risk-while-sharp-erm-generalizes-thm-1/page.md",
        "children": []
      },
      {
        "slug": "claim-2-sa-gd-flat-minimum-convergence-o-1-etat-but-population-lower-bound-omega-eta-2-r-rho-2-t-thm-2-3",
        "title": "Claim 2: SA-GD flat-minimum convergence O(1/etaT) but population lower bound Omega(eta^2 (r-rho)^2 T) (Thm 2,3)",
        "file": "pages/claim-2-sa-gd-flat-minimum-convergence-o-1-etat-but-population-lower-bound-omega-eta-2-r-rho-2-t-thm-2-3/page.md",
        "children": []
      },
      {
        "slug": "claim-3-sam-matches-empirical-rate-yet-converges-to-sharp-minimizer-gap-omega-r-2-thm-4-5",
        "title": "Claim 3: SAM matches empirical rate yet converges to sharp minimizer, gap Omega(r^2) (Thm 4,5)",
        "file": "pages/claim-3-sam-matches-empirical-rate-yet-converges-to-sharp-minimizer-gap-omega-r-2-thm-4-5/page.md",
        "children": []
      },
      {
        "slug": "claim-4-realizable-rho-0-sam-population-lower-bound-omega-eta-2-r-2-t-matches-stability-upper-bound-thm-6-8",
        "title": "Claim 4: Realizable rho=0 SAM population lower bound Omega(eta^2 r^2 T) matches stability upper bound (Thm 6,8)",
        "file": "pages/claim-4-realizable-rho-0-sam-population-lower-bound-omega-eta-2-r-2-t-matches-stability-upper-bound-thm-6-8/page.md",
        "children": []
      },
      {
        "slug": "conclusion",
        "title": "Conclusion",
        "file": "pages/conclusion/page.md",
        "children": []
      },
      {
        "slug": "flatminima-repro",
        "title": "flatminima-repro",
        "file": "pages/flatminima-repro/page.md",
        "children": []
      }
    ]
  },
  "agent_view_tokens": 5126,
  "revision": "1784375419165559480"
}