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Transformers have recently emerged as powerful neural networks for graph learning, showcasing state-of-the-art performance on several graph property prediction tasks. However, these results have been limited to small-scale graphs, where the…

Machine Learning · Computer Science 2023-12-19 Vijay Prakash Dwivedi , Yozen Liu , Anh Tuan Luu , Xavier Bresson , Neil Shah , Tong Zhao

For a function that is analytic on and around an interval, Chebyshev polynomial interpolation provides spectral convergence. However, if the function has a singularity close to the interval, the rate of convergence is near one. In these…

Numerical Analysis · Mathematics 2017-08-10 Kevin W. Aiton , Tobin A. Driscoll

Processing large complex networks recently attracted considerable interest. Complex graphs are useful in a wide range of applications from technological networks to biological systems like the human brain. Sometimes these networks are…

Data Structures and Algorithms · Computer Science 2019-12-03 Christian Schulz

We present graph partition neural networks (GPNN), an extension of graph neural networks (GNNs) able to handle extremely large graphs. GPNNs alternate between locally propagating information between nodes in small subgraphs and globally…

Machine Learning · Computer Science 2018-03-19 Renjie Liao , Marc Brockschmidt , Daniel Tarlow , Alexander L. Gaunt , Raquel Urtasun , Richard Zemel

The recent upgrade of the LHCb experiment pushes data processing rates up to 40 Tbit/s. Out of the whole reconstruction sequence, one of the most time consuming algorithms is the calorimeter reconstruction. It aims at performing a…

High Energy Physics - Experiment · Physics 2022-12-22 Núria Valls Canudas , Míriam Calvo Gómez , Xavier Vilasís-Cardona , Elisabet Golobardes Ribé

For node level graph encoding, a recent important state-of-art method is the graph convolutional networks (GCN), which nicely integrate local vertex features and graph topology in the spectral domain. However, current studies suffer from…

Machine Learning · Computer Science 2020-03-12 Zhiqian Chen , Feng Chen , Rongjie Lai , Xuchao Zhang , Chang-Tien Lu

The recent rapid growth in mobile data traffic entails a pressing demand for improving the throughput of the underlying wireless communication networks. Network node deployment has been considered as an effective approach for throughput…

Networking and Internet Architecture · Computer Science 2022-09-16 Yifei Yang , Dongmian Zou , Xiaofan He

In a recent paper Lima, Panario and Wang have provided a new method to multiply polynomials in Chebyshev basis which aims at reducing the total number of multiplication when polynomials have small degree. Their idea is to use Karatsuba's…

Computational Complexity · Computer Science 2013-09-10 Pascal Giorgi

Graph is a ubiquitous structure in many domains. The rapidly increasing data volume calls for efficient and scalable graph data processing. In recent years, designing distributed graph processing systems has been an increasingly important…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-03 Xubo Wang , Lu Qin , Lijun Chang , Ying Zhang , Dong Wen , Xuemin Lin

The increasing share of renewable energy and distributed electricity generation requires the development of deep learning approaches to address the lack of flexibility inherent in traditional power grid methods. In this context, Graph…

Machine Learning · Computer Science 2026-01-08 Mohamed Hassouna , Clara Holzhüter , Pawel Lytaev , Josephine Thomas , Bernhard Sick , Christoph Scholz

Graph neural networks (GNNs) have demonstrated excellent performance in a wide range of applications. However, the enormous size of large-scale graphs hinders their applications under real-time inference scenarios. Although existing…

Machine Learning · Computer Science 2022-12-29 Xinyi Gao , Wentao Zhang , Yingxia Shao , Quoc Viet Hung Nguyen , Bin Cui , Hongzhi Yin

Graph Neural Networks (GNNs) have emerged as powerful tools for various graph mining tasks, yet existing scalable solutions often struggle to balance execution efficiency with prediction accuracy. These difficulties stem from iterative…

Machine Learning · Computer Science 2026-04-02 Xu Cheng , Liang Yao , Feng He , Yukuo Cen , Yufei He , Chenhui Zhang , Wenzheng Feng , Hongyun Cai , Jie Tang

Standard Gibbs sampling applied to a multivariate normal distribution with a specified precision matrix is equivalent in fundamental ways to the Gauss-Seidel iterative solution of linear equations in the precision matrix. Specifically, the…

Computation · Statistics 2015-05-14 Colin Fox , Albert Parker

Not only with the large host memory for supporting large scale graph processing, GPU-accelerated heterogeneous architecture can also provide a great potential for high-performance computing. However, few existing heterogeneous systems can…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-05 Xianliang Li

Lipschitz extensions were recently proposed as a tool for designing node differentially private algorithms. However, efficiently computable Lipschitz extensions were known only for 1-dimensional functions (that is, functions that output a…

Cryptography and Security · Computer Science 2015-04-30 Sofya Raskhodnikova , Adam Smith

Graph Neural Networks (GNNs) have been emerging as a promising method for relational representation including recommender systems. However, various challenging issues of social graphs hinder the practical usage of GNNs for social…

Social and Information Networks · Computer Science 2019-08-08 Kyung-Min Kim , Donghyun Kwak , Hanock Kwak , Young-Jin Park , Sangkwon Sim , Jae-Han Cho , Minkyu Kim , Jihun Kwon , Nako Sung , Jung-Woo Ha

Graph Partitioning is widely used in many real-world applications such as fraud detection and social network analysis, in order to enable the distributed graph computing on large graphs. However, existing works fail to balance the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-07 Li Zeng , Haohan Huang , Binfan Zheng , Kang Yang , Shengcheng Shao , Jinhua Zhou , Jun Xie , Rongqian Zhao , Xin Chen

We use generalized Chebyshev polynomials, associated with the root system $A_2$, to provide a new semi-iterative method for accelerating simple iterative methods for solving linear systems. We apply this semi-iterative method to the Jacobi…

Numerical Analysis · Mathematics 2025-04-28 Nurgül Gökgöz

Graph-based data structures have drawn great attention in recent years. The large and rapidly growing trend on developing graph processing systems focuses mostly on improving the performance by preprocessing the input graph and modifying…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-10 Morteza Ramezani , Mahmut T. Kandemir , Anand Sivasubramaniam

To enhance the ability of neural networks to extract local point cloud features and improve their quality, in this paper, we propose a multiscale graph generation method and a self-adaptive graph convolution method. First, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2020-12-24 Bo Wu , Bo Lang