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Reproduction: Stability beyond Bounded Differences: Sharp Generalization Bounds under Finite Lp Moments

ICML 2026 · OpenReview SGTLVjx3MN · arXiv 2606.06855 · CPU-only local reproduction.

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Executive summary executive-summary
Theorem 2.2 establishes a concentration inequality for functions of in… claim-1-theorem-2-2-two-regime-concentration
Theorem 2.6 extends the concentration results to the heavy-tailed regi… claim-2-theorem-2-6-heavy-tailed-regime
Assumption 3.1 defines (Lp,β)-Lipschitz stability, requiring only that… claim-3-assumption-3-1-lp-lipschitz-stability
Theorem 3.4 provides a high-probability generalization bound for empir… claim-4-theorem-3-4-erm-generalization
Theorems 3.9 and 3.10 extend the concentration framework to sampling w… claim-5-theorems-3-9-3-10-transductive
Theorem 3.14 establishes high-probability generalization bounds for me… claim-6-theorem-3-14-meta-learning
Conclusion conclusion