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I propose the 1D Subgrid Method for calculating fluid exchange between fractures and matrix with a non-conforming mesh. The method is demonstrated on linear and radial flow problems. The method has negligible computational cost and is…

Geophysics · Physics 2017-09-12 Mark McClure

Graph Neural Networks (GNNs) have shown promising results in modeling graphs in various tasks. The training of GNNs, especially on specialized tasks such as bioinformatics, demands extensive expert annotations, which are expensive and…

Machine Learning · Computer Science 2025-05-27 Minhua Lin , Enyan Dai , Junjie Xu , Jinyuan Jia , Xiang Zhang , Suhang Wang

Data mining in transportation networks (DMTNs) refers to using diverse types of spatio-temporal data for various transportation tasks, including pattern analysis, traffic prediction, and traffic controls. Graph neural networks (GNNs) are…

Machine Learning · Computer Science 2025-01-29 Jiawei Xue , Ruichen Tan , Jianzhu Ma , Satish V. Ukkusuri

Narrowing the performance gap between optimal and feasible detection in inter-symbol interference (ISI) channels, this paper proposes to use graph neural networks (GNNs) for detection that can also be used to perform joint detection and…

Information Theory · Computer Science 2025-07-16 Jannis Clausius , Marvin Rübenacke , Daniel Tandler , Stephan ten Brink

In this paper, a multiscale flux basis algorithm is developed to efficiently solve a flow problem in fractured porous media. Here, we take into account a mixed-dimensional setting of the discrete fracture matrix model, where the fracture…

Numerical Analysis · Mathematics 2019-06-04 Elyes Ahmed , Alessio Fumagalli , Ana Budiša

Traffic flow forecasting is a crucial first step in intelligent and proactive traffic management. Traffic flow parameters are volatile and uncertain, making traffic flow forecasting a difficult task if the appropriate forecasting model is…

Machine Learning · Computer Science 2024-06-04 Jewel Rana Palit , Osama A Osman

Effective congestion management along signalized corridors is essential for improving productivity and reducing costs, with arterial travel time serving as a key performance metric. Traditional approaches, such as Coordinated Signal Timing…

Machine Learning · Computer Science 2024-12-17 Nooshin Yousefzadeh , Rahul Sengupta , Sanjay Ranka

Fraud detection on graph data can be viewed as a demanding task that requires distinguishing between different types of nodes. Because graph neural networks (GNNs) are naturally suited for processing information encoded in graph form…

Machine Learning · Computer Science 2026-04-17 Wei He , Wensheng Gan , Philip S. Yu

Network models are an essential block of modern networks. For example, they are widely used in network planning and optimization. However, as networks increase in scale and complexity, some models present limitations, such as the assumption…

In this study, we analyze the flow filtration process of slightly compressible fluids in fractured porous media. We model the coupled fractured porous media system, where the linear Darcy flow is considered in porous media and the nonlinear…

Analysis of PDEs · Mathematics 2022-05-30 Pushpi J. Paranamana , Eugenio Aulisa , Akif Ibragimov , Magdalena Toda

Many dynamic processes such as telecommunication and transport networks can be described through discrete time series of graphs. Modelling the dynamics of such time series enables prediction of graph structure at future time steps, which…

Machine Learning · Computer Science 2026-02-10 Sevvandi Kandanaarachchi , Ziqi Xu , Stefan Westerlund , Conrad Sanderson

Despite the widespread success of Graph Neural Networks (GNNs), understanding the reasons behind their specific predictions remains challenging. Existing explainability methods face a trade-off that gradient-based approaches are…

Machine Learning · Computer Science 2026-01-22 Bizu Feng , Zhimu Yang , Shaode Yu , Zixin Hu

Materials with network-like microstructure, including polymers, are the backbone for many natural and human-made materials such as gels, biological tissues, metamaterials, and rubbers. Fracture processes in these networked materials are…

Soft Condensed Matter · Physics 2020-01-29 Ahmed Ghareeb , Ahmed Elbanna

This work addresses the challenge of using a deep learning model to prune graphs and the ability of this method to integrate explainability into spatio-temporal problems through a new approach. Instead of applying explainability to the…

Machine Learning · Computer Science 2025-10-14 Javier García-Sigüenza , Mirco Nanni , Faraón Llorens-Largo , José F. Vicent

A theoretical performance analysis of the graph neural network (GNN) is presented. For classification tasks, the neural network approach has the advantage in terms of flexibility that it can be employed in a data-driven manner, whereas…

Machine Learning · Computer Science 2020-01-29 Tatsuro Kawamoto , Masashi Tsubaki , Tomoyuki Obuchi

The geometry and connectivity of fractures exert a strong influence on the flow and transport properties of fracture networks. We present a novel approach to stochastically generate three-dimensional discrete networks of connected fractures…

Geophysics · Physics 2017-01-10 C. Dorn , N. Linde , T. Le Borgne , O. Bour , J. -R. de Dreuzy

This study delves into the application of graph neural networks in the realm of traffic forecasting, a crucial facet of intelligent transportation systems. Accurate traffic predictions are vital for functions like trip planning, traffic…

Machine Learning · Computer Science 2023-10-30 Razib Hayat Khan , Jonayet Miah , S M Yasir Arafat , M M Mahbubul Syeed , Duc M Ca

Graph Neural Networks (GNNs) have emerged as fundamental tools for a wide range of prediction tasks on graph-structured data. Recent studies have drawn analogies between GNN feature propagation and diffusion processes, which can be…

Machine Learning · Computer Science 2024-10-10 Dai Shi , Lequan Lin , Andi Han , Zhiyong Wang , Yi Guo , Junbin Gao

Graph neural networks (GNNs) have shown remarkable success in learning representations for graph-structured data. However, GNNs still face challenges in modeling complex phenomena that involve feature transportation. In this paper, we…

Machine Learning · Computer Science 2023-12-21 Moshe Eliasof , Eldad Haber , Eran Treister

Diffusion models have gained popularity in graph generation tasks; however, the extent of their expressivity concerning the graph distributions they can learn is not fully understood. Unlike models in other domains, popular backbones for…

Machine Learning · Computer Science 2025-02-05 Xiyuan Wang , Yewei Liu , Lexi Pang , Siwei Chen , Muhan Zhang
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