RanSOM uses randomized scaling in second-order momentum updates to obtain unbiased bias estimates via Stein identities, recovering optimal O(ε^{-3}) rates for bounded and heavy-tailed noise in constrained and unconstrained settings.
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RanSOM: Second-Order Momentum with Randomized Scaling for Constrained and Unconstrained Optimization
RanSOM uses randomized scaling in second-order momentum updates to obtain unbiased bias estimates via Stein identities, recovering optimal O(ε^{-3}) rates for bounded and heavy-tailed noise in constrained and unconstrained settings.