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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…
cs.LG2025
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…