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
Limit theorems for the Wiener process with resetting
A. V. Logachov, O. M. Logachova, A. A. Yambartsev +1
We establish a large deviation principle for the trajectories of Wiener processes subject to random resets to the origin occurring according to a Poisson process. In addition to th…
math.PR2025
Moderate, large and super large deviations principles for Poisson process with uniform catastrophes
A. Logachov, O. Logachova, A. Yambartsev
In this paper, we expand and generalize the findings presented in our previous work on the law of large numbers and the large deviation principle for Poisson processes with uniform…