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. Going beyond the canonical sub-Gaussian noise models, the objective is to prove tight convergence rates for first-order or zeroth-order methods when the noise is heavy tailed. This allows us to reliably
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[see Hartmann et al. arxiv.org/abs/2512.07378 ]. Our goal is to go beyond highly efficient classical modelling of such dynamics [see Hogg et al. doi.org/10.1063/5.0222528 ] and include quantum aspects
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