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In this paper, we study the generalization capabilities of geometric graph neural networks (GNNs). We consider GNNs over a geometric graph constructed from a finite set of randomly sampled points over an embedded manifold with topological…

Signal Processing · Electrical Eng. & Systems 2025-06-10 Zhiyang Wang , Juan Cervino , Alejandro Ribeiro

The majority of model-based learned image reconstruction methods in medical imaging have been limited to uniform domains, such as pixelated images. If the underlying model is solved on nonuniform meshes, arising from a finite element method…

Image and Video Processing · Electrical Eng. & Systems 2021-07-12 William Herzberg , Daniel B. Rowe , Andreas Hauptmann , Sarah J. Hamilton

We introduce a model-based image reconstruction framework with a convolution neural network (CNN) based regularization prior. The proposed formulation provides a systematic approach for deriving deep architectures for inverse problems with…

Computer Vision and Pattern Recognition · Computer Science 2019-06-06 Hemant Kumar Aggarwal , Merry P. Mani , Mathews Jacob

Machine learning (ML) has been increasingly applied in concrete research to optimize performance and mixture design. However, one major challenge in applying ML to cementitious materials is the limited size and diversity of available…

Computational Engineering, Finance, and Science · Computer Science 2025-12-18 Mahmuda Sharmin , Taihao Han , Jie Huang , Narayanan Neithalath , Gaurav Sant , Aditya Kumar

Deep learning techniques have become prominent in modern fault diagnosis for complex processes. In particular, convolutional neural networks (CNNs) have shown an appealing capacity to deal with multivariate time-series data by converting…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Saif S. S. Al-Wahaibi , Qiugang Lu

Deep learning, particularly convolutional neural networks (CNNs), have yielded rapid, significant improvements in computer vision and related domains. But conventional deep learning architectures perform poorly when data have an underlying…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Mark Cheung , John Shi , Oren Wright , Lavender Y. Jiang , Xujin Liu , José M. F. Moura

Graph neural networks (GNNs) are the most widely adopted model in graph-structured data oriented learning and representation. Despite their extraordinary success in real-world applications, understanding their working mechanism by theory is…

Machine Learning · Computer Science 2023-05-16 Huayi Tang , Yong Liu

Graph neural networks (GNNs) are a powerful architecture for tackling graph learning tasks, yet have been shown to be oblivious to eminent substructures such as cycles. We present TOGL, a novel layer that incorporates global topological…

Machine Learning · Computer Science 2022-03-18 Max Horn , Edward De Brouwer , Michael Moor , Yves Moreau , Bastian Rieck , Karsten Borgwardt

Deep artificial neural networks require a large corpus of training data in order to effectively learn, where collection of such training data is often expensive and laborious. Data augmentation overcomes this issue by artificially inflating…

Machine Learning · Computer Science 2017-08-22 Luke Taylor , Geoff Nitschke

While deep learning (DL) architectures like convolutional neural networks (CNNs) have enabled effective solutions in image denoising, in general their implementations overly rely on training data, lack interpretability, and require tuning…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Huy Vu , Gene Cheung , Yonina C. Eldar

Graph neural networks (GNNs) are shown to be successful in modeling applications with graph structures. However, training an accurate GNN model requires a large collection of labeled data and expressive features, which might be inaccessible…

Machine Learning · Computer Science 2019-06-03 Ziniu Hu , Changjun Fan , Ting Chen , Kai-Wei Chang , Yizhou Sun

Graph Neural Networks (GNN) can capture the geometric properties of neural representations in EEG data. Here we utilise those to study how reinforcement-based motor learning affects neural activity patterns during motor planning, leveraging…

Machine Learning · Computer Science 2024-11-01 Federico Nardi , Jinpei Han , Shlomi Haar , A. Aldo Faisal

Generalizable, transferrable, and robust representation learning on graph-structured data remains a challenge for current graph neural networks (GNNs). Unlike what has been developed for convolutional neural networks (CNNs) for image data,…

Machine Learning · Computer Science 2021-04-06 Yuning You , Tianlong Chen , Yongduo Sui , Ting Chen , Zhangyang Wang , Yang Shen

A fundamental challenge in understanding graph neural networks (GNNs) lies in characterizing their optimization dynamics and loss landscape geometry, critical for improving interpretability and robustness. While mode connectivity, a lens…

Machine Learning · Computer Science 2025-02-19 Bingheng Li , Zhikai Chen , Haoyu Han , Shenglai Zeng , Jingzhe Liu , Jiliang Tang

Nowadays the development of new functional materials/chemical compounds using machine learning (ML) techniques is a hot topic and includes several crucial steps, one of which is the choice of chemical structure representation. Classical…

Computational Physics · Physics 2020-06-11 Vadim Korolev , Artem Mitrofanov , Alexandru Korotcov , Valery Tkachenko

Deep Learning methods, specifically convolutional neural networks (CNNs), have seen a lot of success in the domain of image-based data, where the data offers a clearly structured topology in the regular lattice of pixels. This…

Machine Learning · Statistics 2018-05-31 Thomas Teh , Chaiyawan Auepanwiriyakul , John Alexander Harston , A. Aldo Faisal

Graph learning (GL) can dynamically capture the distribution structure (graph structure) of data based on graph convolutional networks (GCN), and the learning quality of the graph structure directly influences GCN for semi-supervised…

Computer Vision and Pattern Recognition · Computer Science 2020-06-01 Guangfeng Lin , Xiaobing Kang , Kaiyang Liao , Fan Zhao , Yajun Chen

Image-based characterization and disease understanding involve integrative analysis of morphological, spatial, and topological information across biological scales. The development of graph convolutional networks (GCNs) has created the…

Image and Video Processing · Electrical Eng. & Systems 2022-04-22 Kexin Ding , Mu Zhou , Zichen Wang , Qiao Liu , Corey W. Arnold , Shaoting Zhang , Dimitri N. Metaxas

Convolution Neural Networks on Graphs are important generalization and extension of classical CNNs. While previous works generally assumed that the graph structures of samples are regular with unified dimensions, in many applications, they…

Machine Learning · Computer Science 2017-08-17 Ruoyu Li , Junzhou Huang

Network data can be conveniently modeled as a graph signal, where data values are assigned to nodes of a graph that describes the underlying network topology. Successful learning from network data is built upon methods that effectively…

Machine Learning · Computer Science 2021-05-26 Fernando Gama , Elvin Isufi , Geert Leus , Alejandro Ribeiro