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Graph Neural Networks (GNNs) have shown considerable effectiveness in a variety of graph learning tasks, particularly those based on the message-passing approach in recent years. However, their performance is often constrained by a limited…

Machine Learning · Computer Science 2024-04-22 Ruizhe Zhang , Xinke Jiang , Yuchen Fang , Jiayuan Luo , Yongxin Xu , Yichen Zhu , Xu Chu , Junfeng Zhao , Yasha Wang

Graph Neural Networks (GNNs) have emerged as a prominent research topic in the field of machine learning. Existing GNN models are commonly categorized into two types: spectral GNNs, which are designed based on polynomial graph filters, and…

Machine Learning · Computer Science 2023-09-01 Guanyu Cui , Zhewei Wei

Probabilistic power flow (PPF) plays a critical role in power system analysis. However, the high computational burden makes it challenging for the practical implementation of PPF. This paper proposes a model-based deep learning approach to…

Signal Processing · Electrical Eng. & Systems 2019-09-17 Yan Yang , Zhifang Yang , Juan Yu , Baosen Zhang

The optimal power flow (OPF) problem seeks to control power generation/demand to optimize certain objectives such as minimizing the generation cost or power loss in the network. It is becoming increasingly important for distribution…

Optimization and Control · Mathematics 2013-07-02 Lingwen Gan , Na Li , Ufuk Topcu , Steven H. Low

Recently, deep neural networks have emerged as a solution to solve NP-hard wireless resource allocation problems in real-time. However, multi-layer perceptron (MLP) and convolutional neural network (CNN) structures, which are inherited from…

Networking and Internet Architecture · Computer Science 2023-06-02 Sharan Mourya , Pavan Reddy , SaiDhiraj Amuru , Kiran Kumar Kuchi

Reservoir simulations are computationally expensive in the well control and well placement optimization. Generally, numerous simulation runs (realizations) are needed in order to achieve the optimal well locations. In this paper, we propose…

Machine Learning · Computer Science 2022-03-23 Haoyu Tang , Wennan Long

Graph neural network (GNN)-based fault diagnosis (FD) has received increasing attention in recent years, due to the fact that data coming from several application domains can be advantageously represented as graphs. Indeed, this particular…

Systems and Control · Electrical Eng. & Systems 2021-11-17 Zhiwen Chen , Jiamin Xu , Cesare Alippi , Steven X. Ding , Yuri Shardt , Tao Peng , Chunhua Yang

In this paper, we discuss our approach and algorithmic framework for solving large-scale security constrained optimal power flow (SCOPF) problems. SCOPF is a mixed integer non-convex optimization problem that aims to obtain the minimum…

Optimization and Control · Mathematics 2020-06-02 Mohammadhafez Bazrafshan , Kyri Baker , Javad Mohammadi

Unlike existing work in deep neural network (DNN) graphs optimization for inference performance, we explore DNN graph optimization for energy awareness and savings for power- and resource-constrained machine learning devices. We present a…

Machine Learning · Computer Science 2026-01-27 Yu Wang , Rong Ge , Shuang Qiu

The optimal power flow (OPF) problem is funda- mental in power distribution networks control and operation that underlies many important applications such as volt/var control and demand response, etc.. Large-scale highly volatile renewable…

Optimization and Control · Mathematics 2015-12-22 Qiuyu Peng , Steven Low

Graph Neural Networks (GNNs) have greatly advanced the semi-supervised node classification task on graphs. The majority of existing GNNs are trained in an end-to-end manner that can be viewed as tackling a bi-level optimization problem.…

Machine Learning · Computer Science 2023-07-20 Haoyu Han , Xiaorui Liu , Haitao Mao , MohamadAli Torkamani , Feng Shi , Victor Lee , Jiliang Tang

In this paper, we consider the optimal power flow (OPF) problem which consists in determining the power production at each bus of an electric network by minimizing the production cost. Our contribution is an exact solution algorithm for the…

Optimization and Control · Mathematics 2021-05-04 Amélie Lambert

Mesh-based Graph Neural Networks (GNNs) have recently shown capabilities to simulate complex multiphysics problems with accelerated performance times. However, mesh-based GNNs require a large number of message-passing (MP) steps and suffer…

Computational Engineering, Finance, and Science · Computer Science 2024-02-15 Roberto Perera , Vinamra Agrawal

Machine Learning (ML) techniques for Optimal Power Flow (OPF) problems have recently garnered significant attention, reflecting a broader trend of leveraging ML to approximate and/or accelerate the resolution of complex optimization…

Machine Learning · Computer Science 2025-05-30 Michael Klamkin , Mathieu Tanneau , Pascal Van Hentenryck

Graph Neural Networks (GNNs) are deep-learning architectures designed for graph-type data, where understanding relationships among individual observations is crucial. However, achieving promising GNN performance, especially on unseen data,…

Machine Learning · Computer Science 2024-05-22 Lequan Lin , Dai Shi , Andi Han , Zhiyong Wang , Junbin Gao

The application of graph neural networks (GNNs) to the domain of electrical power grids has high potential impact on smart grid monitoring. Even though there is a natural correspondence of power flow to message-passing in GNNs, their…

Graph neural networks (GNNs) are widely applied in graph data modeling. However, existing GNNs are often trained in a task-driven manner that fails to fully capture the intrinsic nature of the graph structure, resulting in sub-optimal node…

Machine Learning · Computer Science 2024-07-17 Zhenhua Huang , Kunhao Li , Shaojie Wang , Zhaohong Jia , Wentao Zhu , Sharad Mehrotra

The design and optimization of Printed Circuit Board (PCB) schematics is crucial for the development of high-quality electronic devices. Thereby, an important task is to optimize drafts by adding components that improve the robustness and…

Machine Learning · Computer Science 2025-06-13 Pascal Plettenberg , André Alcalde , Bernhard Sick , Josephine M. Thomas

Graph Neural Networks (GNNs) have deeply modified the landscape of numerical simulations by demonstrating strong capabilities in approximating solutions of physical systems. However, their ability to extrapolate beyond their training domain…

Machine Learning · Computer Science 2025-08-27 Paul Garnier , Jonathan Viquerat , Elie Hachem

Graph-structured data is ubiquitous throughout natural and social sciences, and Graph Neural Networks (GNNs) have recently been shown to be effective at solving prediction and inference problems on graph data. In this paper, we propose and…

Machine Learning · Computer Science 2024-01-12 Victoria M. Dax , Jiachen Li , Kevin Leahy , Mykel J. Kochenderfer