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"schema_version": 1,
"title": "Optimal Regularization for Performative Learning",
"emoji": "🎯",
"space_id": "SabaPivot/repro-optimal-regularization-for-performative-learning",
"paper": {
"arxiv_id": "2510.12249"
},
"tags": [
"icml2026-repro",
"paper-G4ve69pimc"
],
"updated_at": "2026-07-31T08:54:09.630153+00:00",
"root": {
"slug": "index",
"title": "Optimal Regularization for Performative Learning",
"file": "pages/index.md",
"children": [
{
"slug": "executive-summary",
"title": "Executive summary",
"file": "pages/executive-summary/page.md",
"children": []
},
{
"slug": "claim-1-population-excess-risk-characterization",
"title": "In the population setting, Theorem 1 characterizes excess risk as a function of the magnitude and direction of the performative effect together with spurious features (Section 4, Theorem 1).",
"file": "pages/claim-1-population-excess-risk-characterization/page.md",
"children": []
},
{
"slug": "claim-2-optimal-regularization-proportional",
"title": "Corollary 2 shows the optimal regularization parameter in the population regime is proportional to the strength of the performative effect, with optimal risk remaining strictly positive (Section 4, Corollary 2).",
"file": "pages/claim-2-optimal-regularization-proportional/page.md",
"children": []
},
{
"slug": "claim-3-deterministic-equivalent-fixed-point",
"title": "Theorem 3 establishes a deterministic equivalent of the performative fixed point for over-parameterized ridge regression when the number of features exceeds the number of samples (Section 5, Theorem 3).",
"file": "pages/claim-3-deterministic-equivalent-fixed-point/page.md",
"children": []
},
{
"slug": "claim-4-optimal-regularization-sign-flip-noise",
"title": "Theorem 4 shows the optimal regularization moves in the same direction as the performative effect on predictive features under low noise, but in the opposite direction under high noise, in the over-parameterized regime (Section 5, Theorem 4).",
"file": "pages/claim-4-optimal-regularization-sign-flip-noise/page.md",
"children": []
},
{
"slug": "claim-5-overparam-performativity-improves-risk",
"title": "Numerical experiments in Section 6 confirm that in the over-parameterized setting, performative effects can improve optimally-regularized risk when performativity reinforces existing trends, contrasting with the population-regime degradation (Section 6).",
"file": "pages/claim-5-overparam-performativity-improves-risk/page.md",
"children": []
},
{
"slug": "claim-6-methods-provenance",
"title": "Methods, independence & provenance",
"file": "pages/claim-6-methods-provenance/page.md",
"children": []
},
{
"slug": "claim-7-failure-boundaries",
"title": "Failure boundaries & honest scope",
"file": "pages/claim-7-failure-boundaries/page.md",
"children": []
},
{
"slug": "claim-99-fresh-independent-cpu-audit",
"title": "Fresh independent CPU audit",
"file": "pages/claim-99-fresh-independent-cpu-audit/page.md",
"children": []
},
{
"slug": "conclusion",
"title": "Conclusion",
"file": "pages/conclusion/page.md",
"children": []
}
]
},
"agent_view_tokens": 11088,
"revision": "1785253564933160000"
}
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