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20132023
most citedThe Complexity of Large-scale Convex Programming under a Linear Optimization Oracle

82 citations · 546 across the 65 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

math.OC2019★ 1 cited

Complexity of Stochastic Dual Dynamic Programming

Guanghui Lan

Stochastic dual dynamic programming is a cutting plane type algorithm for multi-stage stochastic optimization originated about 30 years ago. In spite of its popularity in practice,…

math.OC2019★ 5 cited

Efficient Algorithms for Distributionally Robust Stochastic Optimization with Discrete Scenario Support

Zhe Zhang, Shabbir Ahmed, Guanghui Lan

Recently, there has been a growing interest in distributionally robust optimization (DRO) as a principled approach to data-driven decision making. In this paper, we consider a dist…

math.OC2019★ 3 cited

Stochastic First-order Methods for Convex and Nonconvex Functional Constrained Optimization

Digvijay Boob, Qi Deng, Guanghui Lan

Functional constrained optimization is becoming more and more important in machine learning and operations research. Such problems have potential applications in risk-averse machin…

cs.LG2019★ 3 cited

GLAD: Learning Sparse Graph Recovery

Harsh Shrivastava, Xinshi Chen, Binghong Chen +4

Recovering sparse conditional independence graphs from data is a fundamental problem in machine learning with wide applications. A popular formulation of the problem is an …

math.OC2019★ 31 cited

A unified variance-reduced accelerated gradient method for convex optimization

Guanghui Lan, Zhize Li, Yi Zhou

We propose a novel randomized incremental gradient algorithm, namely, VAriance-Reduced Accelerated Gradient (Varag), for finite-sum optimization. Equipped with a unified step-size…