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math.OC2026
Convergence guarantees for stochastic algorithms solving non-unique problems in metric spaces
Nicholas Pischke, Thomas Powell
We prove a general quantitative theorem on the asymptotic behavior of stochastic quasi-Fejér monotone sequences in a broad metric context. Concretely, our result explicitly constru…
math.OC2026
Generalized fluctuation bounds for stochastic algorithms in the presence of compactness
Morenikeji Neri, Nicholas Pischke, Thomas Powell
We provide a convergence result for sequences of random variables taking values in a metric space that satisfy a stochastic quasi-Fejér monotonicity condition, in the context of a…