Author

Aryan Mokhtari

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Open access Aug 2026

Online learning guided quasi-Newton methods with global non-asymptotic convergence

These results are the first global convergence results to demonstrate a provable advantage of a quasi-Newton method over the extragradient method, without querying the Jacobian of the operator.

Rui-Chen Jiang, Aryan Mokhtari · Mathematical programming · 0 citations

Preprint Jul 2026

Stochastic Dynamic Barrier Perturbed Gradient Methods for Nonconvex Simple Bilevel Optimization

PR-SDBPG, a penalty-regularized variant that eliminates the rare-visit assumption, and VR-PR-SDBPG, which improves the resulting sample complexities entirely through variance reduction, are developed, believed to be the first explicit stochastic nonconvex-nonconvex simple bilevel optimization guarantees.

Mohammad Mahdi Ahmadi, Jincheng Cao, Aryan Mokhtari et al. · 0 citations