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math.OC2026
Solving Stochastic Fixed-Point Equations with High Probability
Jelena Diakonikolas
We study stochastic fixed-point equations over normed spaces , where the operator is nonexpansive or co…
math.OC2025
Pushing the Complexity Boundaries of Fixed-Point Equations: Adaptation to Contraction and Controlled Expansion
Jelena Diakonikolas
Fixed-point equations with Lipschitz operators are central to areas such as optimization, game theory, economics, and dynamical systems. When the operator is contractive or nonexpa…
math.OC2020★ 4 cited
Halpern Iteration for Near-Optimal and Parameter-Free Monotone Inclusion and Strong Solutions to Variational Inequalities
Jelena Diakonikolas
We leverage the connections between nonexpansive maps, monotone Lipschitz operators, and proximal mappings to obtain near-optimal (i.e., optimal up to poly-log factors in terms of…