output
20122026
most citedSimple and Deep Graph Convolutional Networks

402 citations

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14 papers · 1 filter

math.OC2022★ 14 cited

An ADMM-based Distributed Optimization Method for Solving Security-Constrained AC Optimal Power Flow

Amin Gholami, Kaizhao Sun, Shixuan Zhang +1

In this paper, we study efficient and robust computational methods for solving the security-constrained alternating current optimal power flow (SC-ACOPF) problem, a two-stage nonli…

math.OC2021★ 2 cited

Curvature-Aware Derivative-Free Optimization

Bumsu Kim, HanQin Cai, Daniel McKenzie +1

The paper discusses derivative-free optimization (DFO), which involves minimizing a function without access to gradients or directional derivatives, only function evaluations. Clas…

math.OC2021★ 11 cited

Removing Data Heterogeneity Influence Enhances Network Topology Dependence of Decentralized SGD

Kun Yuan, Sulaiman A. Alghunaim, Xinmeng Huang

We consider the decentralized stochastic optimization problems, where a network of nodes, each owning a local cost function, cooperate to find a minimizer of the globally-avera…

math.OC2021★ 2 cited

Hessian Estimation via Stein's Identity in Black-Box Problems

Jingyi Zhu

When the available information is noisy zeroth-order (ZO) oracle, stochastic approximation methods are popular for estimating the root of the multivariate gradient equation. Inspir…

math.OC2021★ 91 cited

Learning to Optimize: A Primer and A Benchmark

Tianlong Chen, Xiaohan Chen, Wuyang Chen +4

Learning to optimize (L2O) is an emerging approach that leverages machine learning to develop optimization methods, aiming at reducing the laborious iterations of hand engineering.…

math.OC2021★ 3 cited

Decomposition Methods for Global Solutions of Mixed-Integer Linear Programs

Kaizhao Sun, Mou Sun, Wotao Yin

This paper introduces two decomposition-based methods for two-block mixed-integer linear programs (MILPs), which aim to take advantage of separable structures of the original probl…