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Travel time tomography for the velocity structure of a medium is a highly non-linear and non-unique inverse problem. Monte Carlo methods are becoming increasingly common choices to provide probabilistic solutions to tomographic problems but…

Computational Physics · Physics 2020-05-08 Stephanie Earp , Andrew Curtis

Important advances have been made using convolutional neural network (CNN) approaches to solve complicated problems in areas that rely on grid structured data such as image processing and object classification. Recently, research on graph…

Machine Learning · Statistics 2018-08-24 Matthew Baron

Graph transformer networks (GTN) are a variant of graph convolutional networks (GCN) that are targeted to heterogeneous graphs in which nodes and edges have associated type information that can be exploited to improve inference accuracy.…

Artificial Intelligence · Computer Science 2021-06-17 Loc Hoang , Udit Agarwal , Gurbinder Gill , Roshan Dathathri , Abhik Seal , Brian Martin , Keshav Pingali

The Population-Based Structural Health Monitoring (PBSHM) paradigm has recently emerged as a promising approach to enhance data-driven assessment of engineering structures by facilitating transfer learning between structures with some…

Computational Engineering, Finance, and Science · Computer Science 2025-09-17 Xudong Jian , Yutong Xia , Gregory Duthé , Kiran Bacsa , Wei Liu , Eleni Chatzi

Graph Convolutional Networks (GCNs) are powerful for processing graph-structured data and have achieved state-of-the-art performance in several tasks such as node classification, link prediction, and graph classification. However, it is…

Machine Learning · Computer Science 2021-10-19 Langzhang Liang , Cuiyun Gao , Shiyi Chen , Shishi Duan , Yu pan , Junjin Zheng , Lei Wang , Zenglin Xu

Rapid reliability assessment of transportation networks can enhance preparedness, risk mitigation, and response management procedures related to these systems. Network reliability analysis commonly considers network-level performance and…

Machine Learning · Computer Science 2024-08-26 Tong Liu , Hadi Meidani

Segmenting the boundary between tumor and healthy tissue during surgical cancer resection poses a significant challenge. In recent years, Hyperspectral Imaging (HSI) combined with Machine Learning (ML) has emerged as a promising solution.…

Graph neural networks (GNNs) are a popular class of machine learning models whose major advantage is their ability to incorporate a sparse and discrete dependency structure between data points. Unfortunately, GNNs can only be used when such…

Machine Learning · Computer Science 2020-06-22 Luca Franceschi , Mathias Niepert , Massimiliano Pontil , Xiao He

Many irregular domains such as social networks, financial transactions, neuron connections, and natural language constructs are represented using graph structures. In recent years, a variety of graph neural networks (GNNs) have been…

Machine Learning · Computer Science 2021-05-03 Osman Asif Malik , Shashanka Ubaru , Lior Horesh , Misha E. Kilmer , Haim Avron

This study aims to predict the spatio-temporal evolution of physical quantities observed in multi-layered display panels subjected to the drop impact of a ball. To model these complex interactions, graph neural networks have emerged as…

Computational Physics · Physics 2024-11-05 Jiyong Kim , Jangseop Park , Nayong Kim , Younyeol Yu , Kiseok Chang , Chang-Seung Woo , Sunwoong Yang , Namwoo Kang

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

Various machine learning models have been used to predict the properties of polycrystalline materials, but none of them directly consider the physical interactions among neighboring grains despite such microscopic interactions critically…

Materials Science · Physics 2021-07-16 Minyi Dai , Mehmet F. Demirel , Yingyu Liang , Jia-Mian Hu

Graph Neural Networks (GNNs) have been widely used for various learning tasks, ranging from node classification to link prediction. They have demonstrated excellent performance in multiple domains involving graph-structured data. However,…

Machine Learning · Computer Science 2026-03-19 Steven E. Wilson , Sina Khanmohammadi

Graph signal recovery (GSR) is a fundamental problem in graph signal processing, where the goal is to reconstruct a complete signal defined over a graph from a subset of noisy or missing observations. A central challenge in GSR is that the…

Signal Processing · Electrical Eng. & Systems 2025-09-24 Razieh Torkamani , Arash Amini , Hadi Zayyani , Mehdi Korki

Accurate prediction of structural displacements under external loading is fundamental to structural health monitoring and seismic safety assessment. Although the finite element method (FEM) remains the prevailing approach because of its…

Machine Learning · Computer Science 2026-05-12 Hung-Fu Chang , Tzu-Kang Lin , Yung-Li Cheng

Seismic tomography is a methodology to image the interior of solid or fluid media, and is often used to map properties in the subsurface of the Earth. In order to better interpret the resulting images it is important to assess imaging…

Geophysics · Physics 2020-05-20 Xin Zhang , Andrew Curtis

We propose to use techniques from Bayesian inference and deep neural networks to translate uncertainty in seismic imaging to uncertainty in tasks performed on the image, such as horizon tracking. Seismic imaging is an ill-posed inverse…

Geophysics · Physics 2022-06-17 Ali Siahkoohi , Gabrio Rizzuti , Felix J. Herrmann

In this paper, we first propose a Bayesian neighborhood selection method to estimate Gaussian Graphical Models (GGMs). We show the graph selection consistency of this method in the sense that the posterior probability of the true model…

Applications · Statistics 2015-07-08 Zhixiang Lin , Tao Wang , Can Yang , Hongyu Zhao

This paper investigates the problem of graph signal recovery (GSR) when the topology of the graph is not known in advance. In this paper, the elements of the weighted adjacency matrix is statistically related to normal distribution and the…

Signal Processing · Electrical Eng. & Systems 2020-10-19 Razieh Torkamani , Hadi Zayyani

Human motion prediction is a challenging task due to the stochasticity and aperiodicity of future poses. Recently, graph convolutional network has been proven to be very effective to learn dynamic relations among pose joints, which is…

Computer Vision and Pattern Recognition · Computer Science 2021-08-18 Lingwei Dang , Yongwei Nie , Chengjiang Long , Qing Zhang , Guiqing Li