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Graph Convolutional Networks (GCNs) achieve an impressive performance due to the remarkable representation ability in learning the graph information. However, GCNs, when implemented on a deep network, require expensive computation power,…

Machine Learning · Computer Science 2022-08-03 Zulun Zhu , Jiaying Peng , Jintang Li , Liang Chen , Qi Yu , Siqiang Luo

Data-driven state estimation (SE) is becoming increasingly important in modern power systems, as it allows for more efficient analysis of system behaviour using real-time measurement data. This paper thoroughly evaluates a phasor…

Machine Learning · Computer Science 2023-03-03 Ognjen Kundacina , Gorana Gojic , Mirsad Cosovic , Dragisa Miskovic , Dejan Vukobratovic

Optimal Power Flow (OPF) is a valuable tool for power system operators, but it is a difficult problem to solve for large systems. Machine Learning (ML) algorithms, especially Neural Networks-based (NN) optimization proxies, have emerged as…

Artificial Intelligence · Computer Science 2024-05-13 Rahul Nellikkath , Mathieu Tanneau , Pascal Van Hentenryck , Spyros Chatzivasileiadis

The real-time electricity market with the integration of renewable energies and electric vehicles have been receiving significant attention recently. So far most of the literature addresses the optimal power flow (OPF) problem in the…

Systems and Control · Electrical Eng. & Systems 2023-01-24 Adrian-Petru Surani , Rahul Sahetiya

In recent years, spiking neural networks (SNNs) have attracted substantial interest due to their potential to replicate the energy-efficient and event-driven processing of biological neurons. Despite this, the application of SNNs in graph…

Artificial Intelligence · Computer Science 2024-07-31 Mingkun Xu , Huifeng Yin , Yujie Wu , Guoqi Li , Faqiang Liu , Jing Pei , Shuai Zhong , Lei Deng

Graph Neural Networks (GNNs), a generalization of neural networks to graph-structured data, are often implemented using message passes between entities of a graph. While GNNs are effective for node classification, link prediction and graph…

Machine Learning · Statistics 2020-10-01 Uday Shankar Shanthamallu , Jayaraman J. Thiagarajan , Andreas Spanias

We present a systematic comparison between neural network (NN) architectures for inference of AC-OPF solutions. Using fully connected NNs as a baseline we demonstrate the efficacy of leveraging network topology in the models by constructing…

Machine Learning · Computer Science 2020-12-02 Thomas Falconer , Letif Mones

The simulation of microcirculatory blood flow in realistic vascular architectures poses significant challenges due to the multiscale nature of the problem and the topological complexity of capillary networks. In this work, we propose a…

Numerical Analysis · Mathematics 2025-12-12 Paolo Botta , Piermario Vitullo , Thomas Ventimiglia , Andreas Linninger , Paolo Zunino

Factors such as the proliferation of renewable energy and electrification contribute to grid congestion as a pressing problem. Topology control is an appealing method for relieving congestion, but traditional approaches for topology…

Machine Learning · Computer Science 2025-10-06 Matthijs de Jong , Jan Viebahn , Yuliya Shapovalova

Fault location in distribution grids is critical for reliability and minimizing outage durations. Yet, it remains challenging due to partial observability, given sparse measurement infrastructure. Recent works show promising results by…

Machine Learning · Computer Science 2026-05-11 Burak Karabulut , Carlo Manna , Chris Develder

We explore the use of graph neural networks (GNNs) to model spatial processes in which there is no a priori graphical structure. Similar to finite element analysis, we assign nodes of a GNN to spatial locations and use a computational…

Machine Learning · Computer Science 2019-11-19 Ferran Alet , Adarsh K. Jeewajee , Maria Bauza , Alberto Rodriguez , Tomas Lozano-Perez , Leslie Pack Kaelbling

Graph Neural Networks (GNNs) are powerful machine learning models that excel at analyzing structured data represented as graphs, demonstrating remarkable performance in applications like social network analysis and recommendation systems.…

Quantum Physics · Physics 2024-05-28 Yidong Liao , Xiao-Ming Zhang , Chris Ferrie

Rate of change of frequency (RoCoF) and frequency nadir should be considered in real-time frequency-constrained optimal power flow (FCOPF) to ensure frequency stability of the modern power systems. Since calculating the frequency response…

Systems and Control · Electrical Eng. & Systems 2025-04-09 Fan Jiang , Xingpeng Li , Pascal Van Hentenryck

Data-driven modeling approaches can produce fast surrogates to study large-scale physics problems. Among them, graph neural networks (GNNs) that operate on mesh-based data are desirable because they possess inductive biases that promote…

Machine Learning · Computer Science 2023-04-04 Brian R. Bartoldson , Yeping Hu , Amar Saini , Jose Cadena , Yucheng Fu , Jie Bao , Zhijie Xu , Brenda Ng , Phan Nguyen

Effective power flow (PF) modeling critically affects the solution accuracy and computational complexity of large-scale grid optimization problems. Especially for grid optimization involving flexible topology to enhance resilience,…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Young-ho Cho , Hao Zhu

Graph Neural Networks (GNNs) have emerged as a powerful tool to learn from graph-structured data. A paramount example of such data is the brain, which operates as a network, from the micro-scale of neurons, to the macro-scale of regions.…

Machine Learning · Computer Science 2022-11-17 Ahmed ElGazzar , Rajat Thomas , Guido van Wingen

Graph Neural Networks (GNNs) have recently gained traction in transportation, bioinformatics, language and image processing, but research on their application to supply chain management remains limited. Supply chains are inherently…

Machine Learning · Computer Science 2025-06-24 Azmine Toushik Wasi , MD Shafikul Islam , Adipto Raihan Akib , Mahathir Mohammad Bappy

Graph neural networks (GNNs) have exhibited superior performance in various classification tasks on graph-structured data. However, they encounter the potential vulnerability from the link stealing attacks, which can infer the presence of a…

Machine Learning · Computer Science 2025-05-14 Jiadong Lou , Xu Yuan , Rui Zhang , Xingliang Yuan , Neil Gong , Nian-Feng Tzeng

As phasor measurement units (PMUs) become more widely used in transmission power systems, a fast state estimation (SE) algorithm that can take advantage of their high sample rates is needed. To accomplish this, we present a method that uses…

Machine Learning · Computer Science 2026-03-09 Ognjen Kundacina , Mirsad Cosovic , Dragisa Miskovic , Dejan Vukobratovic

Graph neural networks (GNNs) work remarkably well in semi-supervised node regression, yet a rigorous theory explaining when and why they succeed remains lacking. To address this gap, we study an aggregate-and-readout model that encompasses…

Machine Learning · Statistics 2026-02-20 Juntong Chen , Claire Donnat , Olga Klopp , Johannes Schmidt-Hieber
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