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The ever-increasing integration of stochastic renewable energy sources into power systems operation is making the supply-demand balance more challenging. While joint chance-constrained methods are equipped to model these complexities and…

Systems and Control · Electrical Eng. & Systems 2025-01-23 Meiyi Li , Javad Mohammadi

In this paper, we consider the scenario-based two-stage stochastic DC optimal power flow (OPF) problem for optimal and reliable dispatch when the load is facing uncertainty. Although this problem is a linear program, it remains…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Ling Zhang , Daniel Tabas , Baosen Zhang

Leveraging machine learning to facilitate the optimization process is an emerging field that holds the promise to bypass the fundamental computational bottleneck caused by classic iterative solvers in critical applications requiring…

Machine Learning · Computer Science 2022-07-18 Xinran Liu , Yuzhe Lu , Ali Abbasi , Meiyi Li , Javad Mohammadi , Soheil Kolouri

With the increasing penetration of renewable energy, traditional physics-based power system operation faces growing challenges in achieving economic efficiency, stability, and robustness. Machine learning (ML) has emerged as a powerful tool…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Wangkun Xu , Zhongda Chu , Fei Teng

This study addresses the challenge of efficiently assigning locomotives in large freight rail networks, where operational complexity and power imbalances make cost-effective planning difficult. It presents a strategic optimization framework…

Optimization and Control · Mathematics 2025-07-31 Yunji Kim , Amira Hijazi , Kevin Dalmeijer , Pascal Van Hentenryck

Effective resource management plays a pivotal role in wireless networks, which, unfortunately, results in challenging mixed-integer nonlinear programming (MINLP) problems in most cases. Machine learning-based methods have recently emerged…

Signal Processing · Electrical Eng. & Systems 2019-05-17 Yifei Shen , Yuanming Shi , Jun Zhang , Khaled B. Letaief

Amid the increasing interest in the deployment of Distributed Energy Resources (DERs), the Virtual Power Plant (VPP) has emerged as a pivotal tool for aggregating diverse DERs and facilitating their participation in wholesale energy…

Machine Learning · Computer Science 2024-05-17 Meiyi Li , Javad Mohammadi

Linear optimal power flow (LOPF) algorithms use a linearization of the alternating current (AC) load flow equations to optimize generator dispatch in a network subject to the loading constraints of the network branches. Common algorithms…

Adaptation and Self-Organizing Systems · Physics 2018-02-01 Jonas Hörsch , Henrik Ronellenfitsch , Dirk Witthaut , Tom Brown

Learning to optimize (L2O) is an emerging technique to solve mathematical optimization problems with learning-based methods. Although with great success in many real-world scenarios such as wireless communications, computer networks, and…

Machine Learning · Computer Science 2025-06-18 Qingyu Song , Wei Lin , Juncheng Wang , Hong Xu

Linear Programming (LP) relaxations have become powerful tools for finding the most probable (MAP) configuration in graphical models. These relaxations can be solved efficiently using message-passing algorithms such as belief propagation…

Data Structures and Algorithms · Computer Science 2012-06-18 David Sontag , Talya Meltzer , Amir Globerson , Tommi S. Jaakkola , Yair Weiss

Learning to optimize (L2O) parametric approximations of AC optimal power flow (AC-OPF) solutions offers the potential for fast, reusable decision-making in real-time power system operations. However, the inherent nonconvexity of AC-OPF…

Machine Learning · Computer Science 2025-11-18 Shimiao Li , Aaron Tuor , Draguna Vrabie , Larry Pileggi , Jan Drgona

Extreme weather variations and the increasing unpredictability of load behavior make it difficult to determine power grid dispatches that are robust to uncertainties. While machine learning (ML) methods have improved the ability to model…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Aayushya Agarwal , Larry Pileggi

Power dispatch is essential for providing stable, cost-effective, and eco-friendly electricity to society. However, traditional methods falter as power systems grow in scale and complexity, struggling with multitasking, swift…

Systems and Control · Electrical Eng. & Systems 2024-08-08 Yuheng Cheng , Huan Zhao , Xiyuan Zhou , Junhua Zhao , Yuji Cao , Chao Yang

The Linear Ordering Problem (LOP) is a very popular NP-hard combinatorial optimization problem with many practical applications that may require the use of large instances. The Linear Ordering Library (LOLIB) gathers a set of standard…

Optimization and Control · Mathematics 2022-01-12 Lázaro Lugo , Carlos Segura , Gara Miranda

Efficiently solving Optimal Power Flow (OPF) problems in power systems is crucial for operational planning and grid management. There is a growing need for scalable algorithms capable of handling the increasing variability, constraints, and…

Artificial Intelligence · Computer Science 2026-01-28 Fabien Bernier , Jun Cao , Maxime Cordy , Salah Ghamizi

Learning to Optimize (L2O) enhances optimization efficiency with integrated neural networks. L2O paradigms achieve great outcomes, e.g., refitting optimizer, generating unseen solutions iteratively or directly. However, conventional L2O…

Machine Learning · Computer Science 2025-03-17 Mingjia Shi , Ruihan Lin , Xuxi Chen , Yuhao Zhou , Zezhen Ding , Pingzhi Li , Tong Wang , Kai Wang , Zhangyang Wang , Jiheng Zhang , Tianlong Chen

The emergence of 6G wireless communication enables massive edge device access and supports real-time intelligent services such as the Internet of things (IoT) and vehicle-to-everything (V2X). However, the surge in edge devices connectivity…

Information Theory · Computer Science 2026-01-27 Hanwen Zhang , Haijian Sun

Power grid operation is becoming increasingly complex due to the rising integration of renewable energy sources and the need for more adaptive control strategies. Reinforcement Learning (RL) has emerged as a promising approach to power…

Systems and Control · Electrical Eng. & Systems 2025-05-16 Erica van der Sar , Alessandro Zocca , Sandjai Bhulai

Risk limiting dispatch (RLD) has been proposed as an approach that effectively trades off economic costs with operational risks for power dispatch under uncertainty. However, how to solve the RLD problem with provably near-optimal…

Optimization and Control · Mathematics 2025-04-24 Ge Chen , Junjie Qin

For the problem of binary linear classification and feature selection, we propose algorithmic approaches to classifier design based on the generalized approximate message passing (GAMP) algorithm, recently proposed in the context of…

Information Theory · Computer Science 2015-06-18 Justin Ziniel , Philip Schniter , Per Sederberg
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