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Related papers: Physics-Informed Graph Neural Network for Spatial-…

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Accurately forecasting dynamic processes on graphs, such as traffic flow or disease spread, remains a challenge. While Graph Neural Networks (GNNs) excel at modeling and forecasting spatio-temporal data, they often lack the ability to…

Machine Learning · Computer Science 2024-08-30 Zakaria Elabid , Lena Sasal , Daniel Busby , Abdenour Hadid

Data-centric methods have shown great potential in understanding and predicting spatiotemporal dynamics, enabling better design and control of the object system. However, deep learning models often lack interpretability, fail to obey…

Machine Learning · Computer Science 2025-01-07 Yuan Mi , Pu Ren , Hongteng Xu , Hongsheng Liu , Zidong Wang , Yike Guo , Ji-Rong Wen , Hao Sun , Yang Liu

Weather Forecasting is an attractive challengeable task due to its influence on human life and complexity in atmospheric motion. Supported by massive historical observed time series data, the task is suitable for data-driven approaches,…

Machine Learning · Computer Science 2022-09-20 Minbo Ma , Peng Xie , Fei Teng , Tianrui Li , Bin Wang , Shenggong Ji , Junbo Zhang

Many scientific and engineering processes produce spatially unstructured data. However, most data-driven models require a feature matrix that enforces both a set number and order of features for each sample. They thus cannot be easily…

Machine Learning · Computer Science 2021-09-30 Francis Ogoke , Kazem Meidani , Amirreza Hashemi , Amir Barati Farimani

State estimation is highly critical for accurately observing the dynamic behavior of the power grids and minimizing risks from cyber threats. However, existing state estimation methods encounter challenges in accurately capturing power…

Systems and Control · Electrical Eng. & Systems 2024-01-01 Quang-Ha Ngo , Bang L. H. Nguyen , Tuyen V. Vu , Jianhua Zhang , Tuan Ngo

Real-time particle transverse momentum ($p_T$) estimation in high-energy physics demands algorithms that are both efficient and accurate under strict hardware constraints. Static machine learning models degrade under high pileup and lack…

Machine Learning · Computer Science 2026-04-21 Md Abrar Jahin , Shahriar Soudeep , M. F. Mridha , Muhammad Mostafa Monowar , Md. Abdul Hamid

We propose a physics-informed machine learning framework called P-DivGNN to reconstruct local stress fields at the micro-scale, in the context of multi-scale simulation given a periodic micro-structure mesh and mean, macro-scale, stress…

Machine Learning · Computer Science 2025-07-09 Manuel Ricardo Guevara Garban , Yves Chemisky , Étienne Prulière , Michaël Clément

Physics-inspired graph neural networks (PI-GNNs) have been utilized as an efficient unsupervised framework for relaxing combinatorial optimization problems encoded through a specific graph structure and loss, reflecting dependencies between…

Machine Learning · Computer Science 2025-10-24 Martin Krutský , Gustav Šír , Vyacheslav Kungurtsev , Georgios Korpas

Graph Neural Networks (GNN) have recently gained popularity in the forecasting domain due to their ability to model complex spatial and temporal patterns in tasks such as traffic forecasting and region-based demand forecasting. Most of…

Machine Learning · Computer Science 2023-12-08 Abishek Sriramulu , Nicolas Fourrier , Christoph Bergmeir

Computational Intelligence (CI) techniques have shown great potential as a surrogate model of expensive physics simulation, with demonstrated ability to make fast predictions, albeit at the expense of accuracy in some cases. For many…

Traffic forecasting has attracted widespread attention recently. In reality, traffic data usually contains missing values due to sensor or communication errors. The Spatio-temporal feature in traffic data brings more challenges for…

Machine Learning · Computer Science 2022-12-14 Jingwei Zuo , Karine Zeitouni , Yehia Taher , Sandra Garcia-Rodriguez

Graph Neural Networks (GNNs) are emerging as powerful tools for nonlinear Model Order Reduction (MOR) of time-dependent parameterized Partial Differential Equations (PDEs). However, existing methodologies struggle to combine geometric…

Machine Learning · Computer Science 2026-01-19 Lorenzo Tomada , Federico Pichi , Gianluigi Rozza

The increasing penetration of renewable energy sources introduces significant variability and uncertainty in modern power systems, making accurate state prediction critical for reliable grid operation. Conventional forecasting methods often…

Machine Learning · Computer Science 2025-04-01 Dhruv Suri , Mohak Mangal

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

Devising and analyzing learning models for spatiotemporal network data is of importance for tasks including forecasting, anomaly detection, and multi-agent coordination, among others. Graph Convolutional Neural Networks (GCNNs) are an…

Machine Learning · Computer Science 2022-07-01 Mohammad Sabbaqi , Elvin Isufi

Graph Neural Networks (GNNs) have advanced spatiotemporal forecasting by leveraging relational inductive biases among sensors (or any other measuring scheme) represented as nodes in a graph. However, current methods often rely on Recurrent…

Machine Learning · Computer Science 2024-05-30 Aref Einizade , Fragkiskos D. Malliaros , Jhony H. Giraldo

Inductive spatial temporal prediction can generalize historical data to predict unseen data, crucial for highly dynamic scenarios (e.g., traffic systems, stock markets). However, external events (e.g., urban structural growth, market crash)…

Machine Learning · Computer Science 2024-09-23 Jialun Zheng , Divya Saxena , Jiannong Cao , Hanchen Yang , Penghui Ruan

The transition away from carbon-based energy sources poses several challenges for the operation of electricity distribution systems. Increasing shares of distributed energy resources (e.g. renewable energy generators, electric vehicles) and…

Machine Learning · Computer Science 2021-03-15 Francesco Fusco , Bradley Eck , Robert Gormally , Mark Purcell , Seshu Tirupathi

The increasing scale of alternating current and direct current (AC/DC) hybrid systems necessitates a faster power flow analysis tool than ever. This letter thus proposes a specific physics-guided graph neural network (PG-GNN). The tailored…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Mei Yang , Gao Qiu , Yong Wu , Junyong Liu , Nina Dai , Yue Shui , Kai Liu , Lijie Ding

We introduce the concept of a Graph-Informed Neural Network (GINN), a hybrid approach combining deep learning with probabilistic graphical models (PGMs) that acts as a surrogate for physics-based representations of multiscale and…

Computational Physics · Physics 2021-03-17 Eric J. Hall , Søren Taverniers , Markos A. Katsoulakis , Daniel M. Tartakovsky
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