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In this work, we address the solution of both linear and nonlinear ill-posed inverse problems by developing a novel graph-based regularization framework, where the regularization term is formulated through an iteratively updated graph…

Numerical Analysis · Mathematics 2026-01-21 Harshit Bajpai , Ankik Kumar Giri

Graph Neural Networks (GNNs) has been widely used in a variety of fields because of their great potential in representing graph-structured data. However, lacking of rigorous uncertainty estimations limits their application in high-stakes.…

Machine Learning · Computer Science 2025-01-07 Ting Wang , Zhixin Zhou , Rui Luo

Graph Neural Networks (GNNs) have shown success in learning from graph structured data containing node/edge feature information, with application to social networks, recommendation, fraud detection and knowledge graph reasoning. In this…

Machine Learning · Computer Science 2021-11-24 Xiang Song , Runjie Ma , Jiahang Li , Muhan Zhang , David Paul Wipf

Recently, graph neural networks (GNNs) have proved to be suitable in tasks on unstructured data. Particularly in tasks as community detection, node classification, and link prediction. However, most GNN models still operate with static…

Machine Learning · Computer Science 2019-06-07 Darwin Saire Pilco , Adín Ramírez Rivera

Graph neural networks (GNNs) extends the functionality of traditional neural networks to graph-structured data. Similar to CNNs, an optimized design of graph convolution and pooling is key to success. Borrowing ideas from physics, we…

Machine Learning · Computer Science 2022-01-12 Zheng Ma , Junyu Xuan , Yu Guang Wang , Ming Li , Pietro Lio

Graphs are fundamental mathematical structures used in various fields to represent data, signals and processes. In this paper, we propose a novel framework for learning/estimating graphs from data. The proposed framework includes (i)…

Machine Learning · Computer Science 2017-07-07 Hilmi E. Egilmez , Eduardo Pavez , Antonio Ortega

Despite the celebrated popularity of Graph Neural Networks (GNNs) across numerous applications, the ability of GNNs to generalize remains less explored. In this work, we propose to study the generalization of GNNs through a novel…

Machine Learning · Computer Science 2024-04-17 Shouheng Li , Dongwoo Kim , Qing Wang

Machine learning on graphs, especially using graph neural networks (GNNs), has seen a surge in interest due to the wide availability of graph data across a broad spectrum of disciplines, from life to social and engineering sciences. Despite…

Graph Neural Networks (GNNs) have been studied through the lens of expressive power and generalization. However, their optimization properties are less well understood. We take the first step towards analyzing GNN training by studying the…

Machine Learning · Computer Science 2021-05-27 Keyulu Xu , Mozhi Zhang , Stefanie Jegelka , Kenji Kawaguchi

Graph Neural Networks (GNN) are currently the most popular approach for learning and prediction on graph-structured data and are deployed in various fields, from social network analysis to drug discovery. However, there is limited…

Methodology · Statistics 2026-05-26 Nil Ayday , Mahalakshmi Sabanayagam , Debarghya Ghoshdastidar

Graph Neural Networks (GNNs) have attracted increasing attention in recent years and have achieved excellent performance in semi-supervised node classification tasks. The success of most GNNs relies on one fundamental assumption, i.e., the…

Machine Learning · Computer Science 2024-12-03 Junchao Lin , Yuan Wan , Jingwen Xu , Xingchen Qi

In recent years, graph neural networks (GNNs) have been widely adopted in the representation learning of graph-structured data and provided state-of-the-art performance in various applications such as link prediction, node classification,…

Machine Learning · Computer Science 2021-04-14 Dasol Hwang , Jinyoung Park , Sunyoung Kwon , Kyung-Min Kim , Jung-Woo Ha , Hyunwoo J. Kim

Graph-structured data consisting of objects (i.e., nodes) and relationships among objects (i.e., edges) are ubiquitous. Graph-level learning is a matter of studying a collection of graphs instead of a single graph. Traditional graph-level…

Machine Learning · Computer Science 2022-06-01 Ge Zhang , Jia Wu , Jian Yang , Shan Xue , Wenbin Hu , Chuan Zhou , Hao Peng , Quan Z. Sheng , Charu Aggarwal

Graph neural networks (GNNs) have recently been demonstrated to perform well on a variety of network-based tasks such as decentralized control and resource allocation, and provide computationally efficient methods for these tasks which have…

Machine Learning · Computer Science 2021-12-15 Raghu Arghal , Eric Lei , Shirin Saeedi Bidokhti

To improve the performance of Graph Neural Networks (GNNs), Graph Structure Learning (GSL) has been extensively applied to reconstruct or refine original graph structures, effectively addressing issues like heterophily, over-squashing, and…

Machine Learning · Computer Science 2024-11-13 Yilun Zheng , Zhuofan Zhang , Ziming Wang , Xiang Li , Sitao Luan , Xiaojiang Peng , Lihui Chen

Graph neural networks, a powerful deep learning tool to model graph-structured data, have demonstrated remarkable performance on numerous graph learning tasks. To address the data noise and data scarcity issues in deep graph learning, the…

Machine Learning · Computer Science 2022-11-22 Kaize Ding , Zhe Xu , Hanghang Tong , Huan Liu

In the graph signal processing (GSP) literature, graph Laplacian regularizer (GLR) was used for signal restoration to promote piecewise smooth / constant reconstruction with respect to an underlying graph. However, for signals slowly…

Signal Processing · Electrical Eng. & Systems 2024-04-08 Fei Chen , Gene Cheung , Xue Zhang

Graph Neural Networks (GNNs) training often necessitates gathering raw user data on a central server, which raises significant privacy concerns. Federated learning emerges as a solution, enabling collaborative model training without users…

Machine Learning · Computer Science 2024-10-01 Zhidong Gao , Yuanxiong Guo , Yanmin Gong

Graph Neural Networks (GNNs) have achieved tremendous success in graph representation learning. Unfortunately, current GNNs usually rely on loading the entire attributed graph into network for processing. This implicit assumption may not be…

Machine Learning · Computer Science 2022-02-15 Junfu Wang , Yunhong Wang , Zhen Yang , Liang Yang , Yuanfang Guo

A common issue in graph learning under the semi-supervised setting is referred to as gradient scarcity. That is, learning graphs by minimizing a loss on a subset of nodes causes edges between unlabelled nodes that are far from labelled ones…

Machine Learning · Computer Science 2023-03-27 Hashem Ghanem , Samuel Vaiter , Nicolas Keriven