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Mathematics > Optimization and Control
[Submitted on 29 Sep 2026] Title:A stochastic subgradient method with optimal failure exponent View a PDF of the paper titled A stochastic subgradient method with optimal failure exponent, by Bart P.G. van Parys View PDF HTML (experimental) Abstract:Fix a target accuracy $\varepsilon$, a gradient-noise level $s$, and a horizon $N$.
Mathematics > Statistics Theory
To design systems that are protected against events much rarer than the observational record, extreme-value methods are needed to extrapolate distribution tails. Tail-index estimators such as the Hill estimator are central to this extrapolation, but overestimating the tail exponent can lead to substantial underestimation of rare-event probabilities.
Mathematics > Optimization and Control
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