Author

A. Lobanov

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Preprint Sep 2026

Accelerated Stochastic Method under $(H_0,H_1)$-Smoothness and Heavy-Tailed Noise

We develop an accelerated stochastic method for convex $(H_0,H_1)$-smooth optimization under heavy-tailed noise. The unbiased oracle has a finite $p$-th noise moment, $1<p\le2$, with constant, gradient-dependent, and gap-dependent terms. Our method combines accelerated updates with clipping, projection, and phase resta...

A. Lobanov, D. Dvinskikh, A. Gasnikov · 0 citations

Preprint Sep 2026

Localize, Restart, Accelerate: Stochastic Optimization under Generalized Smoothness

A two-phase accelerated method that achieves, with high probability, an accelerated optimization contribution and smooth-subclass-optimal statistical dependence on accuracy, up to logarithmic and generalized-smoothness factors.

D. Dvinskikh, A. Gasnikov, A. Lobanov et al. · 1 citation

Preprint Aug 2026

A Few Accelerated Algorithms for Convex Optimization under $(H_0,H_1)$-Smoothness

The first accelerated full-gradient and coordinate guarantees for this convex class are provided, to the knowledge, and practical implementation recommendations are provided.

A. Lobanov · 0 citations