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Min cut is an important graph partitioning method. However, current solutions to the min cut problem suffer from slow speeds, difficulty in solving, and often converge to simple solutions. To address these issues, we relax the min cut…

Machine Learning · Computer Science 2025-01-31 Fangyuan Xie , Jinghui Yuan , Feiping Nie , Xuelong Li

Intelligent Transportation System (ITS) is crucial for improving traffic congestion, reducing accidents, optimizing urban planning, and more. However, the complexity of traffic networks has rendered traditional machine learning and…

Machine Learning · Computer Science 2024-09-20 Hourun Li , Yusheng Zhao , Zhengyang Mao , Yifang Qin , Zhiping Xiao , Jiaqi Feng , Yiyang Gu , Wei Ju , Xiao Luo , Ming Zhang

Graph Neural Networks (GNNs) are proficient in graph representation learning and achieve promising performance on versatile tasks such as node classification and link prediction. Usually, a comprehensive hyperparameter tuning is essential…

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

The paper presents a Graph Attention Convolutional Network (GACN) for flow reconstruction from very sparse data in time-varying geometries. The model incorporates a feature propagation algorithm as a preprocessing step to handle extremely…

Machine Learning · Computer Science 2024-11-14 Bogdan A. Danciu , Vito A. Pagone , Benjamin Böhm , Marius Schmidt , Christos E. Frouzakis

Maintaining a sustainable socio-ecological state of a river delta requires delivery of material and energy fluxes to its body and coastal zone in a way that avoids malnourishment that would compromise system integrity. We present a…

Geophysics · Physics 2014-08-26 Alejandro Tejedor , Anthony Longjas , Ilya Zaliapin , Efi Foufoula-Georgiou

Graph pooling compresses graph information into a compact representation. State-of-the-art graph pooling methods follow a hierarchical approach, which reduces the graph size step-by-step. These methods must balance memory efficiency with…

Machine Learning · Computer Science 2024-02-23 Yunchong Song , Siyuan Huang , Xinbing Wang , Chenghu Zhou , Zhouhan Lin

Discrete Fracture Networks (DFNs) are complex three-dimensional structures characterized by the intersections of planar polygonal fractures, and are used to model flows in fractured media. Despite being suitable for Domain Decomposition…

Numerical Analysis · Mathematics 2022-11-23 Stefano Berrone , Tommaso Vanzan

Many network analysis and graph learning techniques are based on models of random walks which require to infer transition matrices that formalize the underlying stochastic process in an observed graph. For weighted graphs, it is common to…

Methodology · Statistics 2022-10-28 Vincenzo Perri , Luka V. Petrović , Ingo Scholtes

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

Flood models inform strategic disaster management by simulating the spatiotemporal hydrodynamics of flooding. While physics-based numerical flood models are accurate, their substantial computational cost limits their use in operational…

Accurately modeling crack propagation is critical for predicting failure in engineering materials and structures, where small cracks can rapidly evolve and cause catastrophic damage. The interaction of cracks with discontinuities, such as…

Machine Learning · Computer Science 2025-09-12 Elham Kiyani , Venkatesh Ananchaperumal , Ahmad Peyvan , Mahendaran Uchimali , Gang Li , George Em Karniadakis

Graph neural networks (GNNs) are widely used in domains like social networks and biological systems. However, the locality assumption of GNNs, which limits information exchange to neighboring nodes, hampers their ability to capture…

Machine Learning · Computer Science 2023-07-04 Tingting Dan , Jiaqi Ding , Ziquan Wei , Shahar Z Kovalsky , Minjeong Kim , Won Hwa Kim , Guorong Wu

The behavior of complex systems is determined not only by the topological organization of their interconnections but also by the dynamical processes taking place among their constituents. A faithful modeling of the dynamics is essential…

Physics and Society · Physics 2015-05-20 R. Lambiotte , R. Sinatra , J. -C. Delvenne , T. S. Evans , M. Barahona , V. Latora

Small subgraphs (graphlets) are important features to describe fundamental units of a large network. The calculation of the subgraph frequency distributions has a wide application in multiple domains including biology and engineering.…

Machine Learning · Computer Science 2022-07-15 Zhongren Chen , Xinyue Xu , Shengyi Jiang , Hao Wang , Lu Mi

We explore the feasibility of combining Graph Neural Network-based policy architectures with Deep Reinforcement Learning as an approach to problems in systems. This fits particularly well with operations on networks, which naturally take…

Machine Learning · Computer Science 2021-12-02 Oliver Hope , Eiko Yoneki

Traffic flow forecasting is challenging due to the intricate spatio-temporal correlations in traffic flow data. Existing Transformer-based methods usually treat traffic flow forecasting as multivariate time series (MTS) forecasting.…

Machine Learning · Computer Science 2023-03-15 Junhao Zhang , Junjie Tang , Juncheng Jin , Zehui Qu

We present a novel experimental approach based on 3D printing and X-ray computed tomography to characterize fracture aperture distribution and evolution in 3D fracture networks under varying stress loading conditions. We validate our…

Instrumentation and Detectors · Physics 2025-08-12 A. Patsoukis Dimou , Q. Lei , N. Watanabe , A. Suzuki

Graph Neural Networks (GNNs) are an emerging research field. This specialized Deep Neural Network (DNN) architecture is capable of processing graph structured data and bridges the gap between graph processing and Deep Learning (DL). As…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-24 Jana Vatter , Ruben Mayer , Hans-Arno Jacobsen

Recently, graph neural networks (GNNs) have gained much attention as a growing area of deep learning capable of learning on graph-structured data. However, the computational and memory requirements for training GNNs on large-scale graphs…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-13 Nikolai Merkel , Daniel Stoll , Ruben Mayer , Hans-Arno Jacobsen

Fracture surfaces provide various types of information about fracture. The fracture toughness $K_{{\rm I}c}$, which represents the resistance to fracture, can be estimated using the three-dimensional (3D) information of a fracture surface,…

Materials Science · Physics 2022-05-02 Yoh-ichi Mototake , Kaita Ito , Masahiko Demura