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VFOG: Variance-Reduced Fast Optimistic Gradient Methods for a Class of Nonmonotone Generalized Equations
Quoc Tran-Dinh, Nghia Nguyen-Trung
https://arxiv.org/abs/2508.16791 http…

VFOG: Variance-Reduced Fast Optimistic Gradient Methods for a Class of Nonmonotone Generalized Equations
We develop a novel optimistic gradient-type algorithmic framework, combining both Nesterov's acceleration and variance-reduction techniques, to solve a class of generalized equations involving possibly nonmonotone operators in data-driven applications. Our framework covers a wide class of stochastic variance-reduced schemes, including mini-batching, and control variate unbiased and biased estimators. We establish that our method achieves $\mathcal{O}(1/k^2)$ convergence rates in expectation on …

On the occasion of Dr. Ivan Dmitrievich Remizov's 40th birthday
Ksenia Dragunova, Elmira Kalimulina, Rustem Kalmetev, Nasrin Nikbakht, Elena Nozdrinova, Alexander Pechen, Alexei Savvateev, Evgeni Shavgulidze, Ranjit Singh, Alexander Vedenin, Boris Volkov
https://arxiv.org/abs/2508.18650

On the occasion of Dr. Ivan Dmitrievich Remizov's 40th birthday
This article celebrates the 40th anniversary of Dr. Ivan Dmitrievich Remizov, a mathematician who made a number of important contributions to the theory of one-parameter operator semigroups -- a branch of functional analysis which has applications to differential equations, mathematical physics, random processes, control theory, and quantum mechanics. Born on December 7, 1984, Dr. Remizov obtained his Ph.D. in 2018 from Moscow State University and has made substantial contributions, particularl…