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20142023
most citedAccelerated Schemes For A Class of Variational Inequalities

10 citations · 16 across the 7 of their papers we have counts for

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6 papers · 1 filter

math.OC2023

A Novel Catalyst Scheme for Stochastic Minimax Optimization

Guanghui Lan, Yan Li

This paper presents a proximal-point-based catalyst scheme for simple first-order methods applied to convex minimization and convex-concave minimax problems. In particular, for smo…

math.OC2023

First-order Policy Optimization for Robust Policy Evaluation

Yan Li, Guanghui Lan

We adopt a policy optimization viewpoint towards policy evaluation for robust Markov decision process with -rectangular ambiguity sets. The developed method, named firs…

math.OC20232 cited

Numerical Methods for Convex Multistage Stochastic Optimization

Guanghui Lan, Alexander Shapiro

Optimization problems involving sequential decisions in a stochastic environment were studied in Stochastic Programming (SP), Stochastic Optimal Control (SOC) and Markov Decision P…

math.OC20162 cited

Accelerated gradient sliding for structured convex optimization

Guanghui Lan, Yuyuan Ouyang

Our main goal in this paper is to show that one can skip gradient computations for gradient descent type methods applied to certain structured convex programming (CP) problems. To…

math.OC20141 cited

Fast Bundle-Level Type Methods for unconstrained and ball-constrained convex optimization

Yunmei Chen, Guanghui Lan, Yuyuan Ouyang +1

It has been shown in \cite{Lan13-1} that the accelerated prox-level (APL) method and its variant, the uniform smoothing level (USL) method, have optimal iteration complexity for so…

math.OC201410 cited

Accelerated Schemes For A Class of Variational Inequalities

Yunmei Chen, Guanghui Lan, Yuyuan Ouyang

We propose a novel method, namely the accelerated mirror-prox (AMP) method, for computing the weak solutions of a class of deterministic and stochastic monotone variational inequal…