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We derive analytical expressions for the generalization performance of kernel regression as a function of the number of training samples using theoretical methods from Gaussian processes and statistical physics. Our expressions apply to…

Machine Learning · Computer Science 2021-02-26 Blake Bordelon , Abdulkadir Canatar , Cengiz Pehlevan

In the last decade or so, we have witnessed deep learning reinvigorating the machine learning field. It has solved many problems in the domains of computer vision, speech recognition, natural language processing, and various other tasks…

Machine Learning · Computer Science 2021-09-09 Lilapati Waikhom , Ripon Patgiri

Graph classification is an important learning task for graph-structured data. Graph neural networks (GNNs) have recently gained growing attention in graph learning and have shown significant improvements in many important graph problems.…

Machine Learning · Computer Science 2024-01-31 Tao Wen , Elynn Chen , Yuzhou Chen

Graph mining is an important area in data mining and machine learning that involves extracting valuable information from graph-structured data. In recent years, significant progress has been made in this field through the development of…

Machine Learning · Computer Science 2024-12-30 Yuxin You , Zhen Liu , Xiangchao Wen , Yongtao Zhang , Wei Ai

Graph Neural Networks (GNNs) have received considerable attention on graph-structured data learning for a wide variety of tasks. The well-designed propagation mechanism which has been demonstrated effective is the most fundamental part of…

Machine Learning · Computer Science 2021-01-29 Meiqi Zhu , Xiao Wang , Chuan Shi , Houye Ji , Peng Cui

In this survey, we dive into Tabular Data Learning (TDL) using Graph Neural Networks (GNNs), a domain where deep learning-based approaches have increasingly shown superior performance in both classification and regression tasks compared to…

Machine Learning · Computer Science 2024-01-05 Cheng-Te Li , Yu-Che Tsai , Chih-Yao Chen , Jay Chiehen Liao

Various Graph Neural Networks (GNNs) have been successful in analyzing data in non-Euclidean spaces, however, they have limitations such as oversmoothing, i.e., information becomes excessively averaged as the number of hidden layers…

Machine Learning · Computer Science 2024-01-23 Jaeyoon Sim , Sooyeon Jeon , InJun Choi , Guorong Wu , Won Hwa Kim

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 (GNNs) have emerged as a powerful tool for learning from graph-structured data. However, even state-of-the-art architectures have limitations on what structures they can distinguish, imposing theoretical limits on what…

Machine Learning · Computer Science 2023-07-03 Eren Akbiyik , Florian Grötschla , Beni Egressy , Roger Wattenhofer

In recent years, graph neural networks (GNNs) have been widely applied in tackling combinatorial optimization problems. However, existing methods still suffer from limited accuracy when addressing that on complex graphs and exhibit poor…

Machine Learning · Computer Science 2025-11-13 Yuyao Long

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

Machine Learning · Computer Science 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu

Graph neural networks (GNNs) are powerful tools for exploring and learning from graph structures and features. As such, achieving high-performance execution for GNNs becomes crucially important. Prior works have proposed to explore the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-30 Yangjie Zhou , Yaoxu Song , Jingwen Leng , Zihan Liu , Weihao Cui , Zhendong Zhang , Cong Guo , Quan Chen , Li Li , Minyi Guo

Graph Neural Networks (GNNs) have recently become increasingly popular due to their ability to learn complex systems of relations or interactions arising in a broad spectrum of problems ranging from biology and particle physics to social…

Machine Learning · Computer Science 2020-10-12 Emanuele Rossi , Ben Chamberlain , Fabrizio Frasca , Davide Eynard , Federico Monti , Michael Bronstein

Graph Neural Networks (GNNs) are information processing architectures for signals supported on graphs. They are presented here as generalizations of convolutional neural networks (CNNs) in which individual layers contain banks of graph…

Machine Learning · Computer Science 2021-02-01 Luana Ruiz , Fernando Gama , Alejandro Ribeiro

Graph Neural Networks (GNNs) have become popular across a diverse set of tasks in exploring structural relationships between entities. However, due to the highly connected structure of the datasets, distributed training of GNNs on…

Machine Learning · Computer Science 2025-09-08 Arefin Niam , Tevfik Kosar , M S Q Zulkar Nine

In suitably initialized wide networks, small learning rates transform deep neural networks (DNNs) into neural tangent kernel (NTK) machines, whose training dynamics is well-approximated by a linear weight expansion of the network at…

Machine Learning · Computer Science 2020-10-29 Stanislav Fort , Gintare Karolina Dziugaite , Mansheej Paul , Sepideh Kharaghani , Daniel M. Roy , Surya Ganguli

Graph neural networks (GNNs) have demonstrated their effectiveness in various tasks supported by their generalization capabilities. However, the current analysis of GNN generalization relies on the assumption that training and testing data…

Machine Learning · Computer Science 2024-09-11 Zhiyang Wang , Juan Cervino , Alejandro Ribeiro

The Neural Tangent Kernel (NTK) has emerged as a powerful tool to provide memorization, optimization and generalization guarantees in deep neural networks. A line of work has studied the NTK spectrum for two-layer and deep networks with at…

Machine Learning · Statistics 2023-05-23 Simone Bombari , Mohammad Hossein Amani , Marco Mondelli

We study the problem of semi-supervised learning on graphs, for which graph neural networks (GNNs) have been extensively explored. However, most existing GNNs inherently suffer from the limitations of over-smoothing, non-robustness, and…

Machine Learning · Computer Science 2021-09-22 Wenzheng Feng , Jie Zhang , Yuxiao Dong , Yu Han , Huanbo Luan , Qian Xu , Qiang Yang , Evgeny Kharlamov , Jie Tang

Neural tangent kernels (NTKs) have been proposed to study the behavior of trained neural networks from the perspective of Gaussian processes. An important result in this body of work is the theorem of equivalence between a trained neural…

Machine Learning · Statistics 2025-01-22 Haoran Liu , Anthony Tai , David J. Crandall , Chunfeng Huang