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Almost Supermartingale Extensions of Olivier's Theorem

math.PR · 2026-07-02 · accept · novelty 6.5

Almost-supermartingale versions of Olivier's theorem yield almost-sure rates ξ_n = o(1/θ_n) that produce new residual rates for stochastic proximal-point, Krasnosel'skiĭ–Mann, and gradient iterations.

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  • Almost Supermartingale Extensions of Olivier's Theorem math.PR · 2026-07-02 · accept · none · ref 29

    Almost-supermartingale versions of Olivier's theorem yield almost-sure rates ξ_n = o(1/θ_n) that produce new residual rates for stochastic proximal-point, Krasnosel'skiĭ–Mann, and gradient iterations.