3 papers
cs.LG2026
Convergence, Sticking and Escape: Stochastic Dynamics Near Critical Points in SGD
Dmitry Dudukalov, Artem Logachov, Vladimir Lotov +3
We study the convergence properties and escape dynamics of Stochastic Gradient Descent (SGD) in one-dimensional landscapes, separately considering infinite- and finite-variance noi…
math.PR2025
Any random variable with right-unbounded distributional support is the minimum of independent and very heavy-tailed random variables
Sergey Foss, Anton Tarasenko, Georgiy Krivtsov
A random variable has a {\it light-tailed} distribution (for short: is light-tailed) if it possesses a finite exponential moment, $\E \exp (λξ) <\infty$ for some , and…
cond-mat.mes-hall2025
Control of the magnetic hopfion lattice in helimagnet with the external field and anisotropy
Konstantin L. Metlov, Artem S. Tarasenko, Yulia A. Bezus +1
A generalized micromagnetic model of hopfions in a helimagnet with a two-dimensional (allowing both radial and azimuthal dependence) profile function is considered. Calculations co…