Author

Nicolas Loizou

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#machine learning Preprint Sep 2026

Polyak-Type Extragradient Methods for Monotone Root-Finding Problems

We study Polyak-type step-size selection for extragradient methods for solving deterministic and stochastic monotone root-finding problems. We show that the known projection-type correction for deterministic extragradient arises from minimizing an upper bound on the distance to a solution, paralleling the classical Pol...

Taeho Yoon, Sayantan Choudhury, Ezra Greenberg et al. · 1 citation

Preprint Aug 2026

On Same-Sample and Independent-Sample Stochastic Extragradient for Monotone Variational Inequalities

We study stochastic extragradient (SEG) methods for solving monotone variational inequality problems (VIPs) over a feasible set. Although extragradient is a foundational algorithm for VIPs and its deterministic convergence theory is well developed, its stochastic counterpart remains less understood. Most existing analy...

Taeho Yoon, Nicolas Loizou · 0 citations