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相关论文: The Transferability of Downsamped Sparse Graph Con…

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Sparse exchangeable graphs on $\mathbb{R}_+$, and the associated graphex framework for sparse graphs, generalize exchangeable graphs on $\mathbb{N}$, and the associated graphon framework for dense graphs. We develop the graphex framework as…

统计理论 · 数学 2016-11-04 Victor Veitch , Daniel M. Roy

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…

机器学习 · 计算机科学 2024-01-23 Jaeyoon Sim , Sooyeon Jeon , InJun Choi , Guorong Wu , Won Hwa Kim

Graph sparsification is a technique that approximates a given graph by a sparse graph with a subset of vertices and/or edges. The goal of an effective sparsification algorithm is to maintain specific graph properties relevant to the…

数据库 · 计算机科学 2023-11-22 Yuhan Chen , Haojie Ye , Sanketh Vedula , Alex Bronstein , Ronald Dreslinski , Trevor Mudge , Nishil Talati

Graph neural networks are widely used tools for graph prediction tasks. Motivated by their empirical performance, prior works have developed generalization bounds for graph neural networks, which scale with graph structures in terms of the…

机器学习 · 计算机科学 2023-10-25 Haotian Ju , Dongyue Li , Aneesh Sharma , Hongyang R. Zhang

This paper focuses on spectral graph convolutional neural networks (ConvNets), where filters are defined as elementwise multiplication in the frequency domain of a graph. In machine learning settings where the dataset consists of signals…

机器学习 · 计算机科学 2021-06-15 Ron Levie , Wei Huang , Lorenzo Bucci , Michael M. Bronstein , Gitta Kutyniok

The growing complexity of wireless systems has accelerated the move from traditional methods to learning-based solutions. Graph Neural Networks (GNNs) are especially well-suited here, since wireless networks can be naturally represented as…

信号处理 · 电气工程与系统科学 2025-10-02 Romina Garcia Camargo , Zhiyang Wang , Alejandro Ribeiro

Graph neural networks (GNNs) have been widely applied in multi-variate time-series forecasting (MTSF) tasks because of their capability in capturing the correlations among different time-series. These graph-based learning approaches improve…

机器学习 · 计算机科学 2023-06-30 Ngoc-Dung Do , Truong Son Hy , Duy Khuong Nguyen

The Transformer architecture has achieved remarkable success in a number of domains including natural language processing and computer vision. However, when it comes to graph-structured data, transformers have not achieved competitive…

机器学习 · 计算机科学 2022-10-11 Zaixi Zhang , Qi Liu , Qingyong Hu , Chee-Kong Lee

We define a novel type of ensemble Graph Convolutional Network (GCN) model. Using optimized linear projection operators to map between spatial scales of graph, this ensemble model learns to aggregate information from each scale for its…

机器学习 · 计算机科学 2020-04-08 C. B. Scott , Eric Mjolsness

It has been discovered that Graph Convolutional Networks (GCNs) encounter a remarkable drop in performance when multiple layers are piled up. The main factor that accounts for why deep GCNs fail lies in over-smoothing, which isolates the…

机器学习 · 计算机科学 2023-06-22 Jiaqi Han , Wenbing Huang , Yu Rong , Tingyang Xu , Fuchun Sun , Junzhou Huang

Graph convolution (GConv) is a widely used technique that has been demonstrated to be extremely effective for graph learning applications, most notably node categorization. On the other hand, many GConv-based models do not quantify the…

机器学习 · 计算机科学 2022-07-27 Zhiqian Chen , Zonghan Zhang

Spectral graph convolutional neural networks (CNNs) require approximation to the convolution to alleviate the computational complexity, resulting in performance loss. This paper proposes the topology adaptive graph convolutional network…

机器学习 · 计算机科学 2018-02-13 Jian Du , Shanghang Zhang , Guanhang Wu , Jose M. F. Moura , Soummya Kar

The burgeoning volume of graph data presents significant computational challenges in training graph neural networks (GNNs), critically impeding their efficiency in various applications. To tackle this challenge, graph condensation (GC) has…

机器学习 · 计算机科学 2024-06-13 Xinyi Gao , Tong Chen , Wentao Zhang , Yayong Li , Xiangguo Sun , Hongzhi Yin

Graph-based computations are crucial in a wide range of applications, where graphs can scale to trillions of edges. To enable efficient training on such large graphs, mini-batch subgraph sampling is commonly used, which allows training…

机器学习 · 计算机科学 2025-04-04 Yue Jin , Yongchao Liu , Chuntao Hong

While Graph Neural Networks (GNNs) have achieved remarkable results in a variety of applications, recent studies exposed important shortcomings in their ability to capture the structure of the underlying graph. It has been shown that the…

机器学习 · 计算机科学 2023-09-26 Giorgos Bouritsas , Fabrizio Frasca , Stefanos Zafeiriou , Michael M. Bronstein

Compressed sensing aims to undersample certain high-dimensional signals, yet accurately reconstruct them by exploiting signal characteristics. Accurate reconstruction is possible when the object to be recovered is sufficiently sparse in a…

信息论 · 计算机科学 2015-05-13 David L. Donoho , Arian Maleki , Andrea Montanari

We analyze the performance of graph neural network (GNN) architectures from the perspective of random graph theory. Our approach promises to complement existing lenses on GNN analysis, such as combinatorial expressive power and worst-case…

机器学习 · 计算机科学 2023-10-12 Drake Brown , Trevor Garrity , Kaden Parker , Jason Oliphant , Stone Carson , Cole Hanson , Zachary Boyd

Last decade has seen the emergence of numerous methods for learning on graphs, particularly Graph Neural Networks (GNNs). These methods, however, are often not directly applicable to more complex structures like bipartite graphs (equivalent…

机器学习 · 计算机科学 2024-09-27 Pavel Procházka , Marek Dědič , Lukáš Bajer

Traffic flow forecasting is a critical spatio-temporal data mining task with wide-ranging applications in intelligent route planning and dynamic traffic management. Recent advancements in deep learning, particularly through Graph Neural…

机器学习 · 计算机科学 2025-05-14 Weiyang Kong , Kaiqi Wu , Sen Zhang , Yubao Liu

Multiple sampling-based methods have been developed for approximating and accelerating node embedding aggregation in graph convolutional networks (GCNs) training. Among them, a layer-wise approach recursively performs importance sampling to…

机器学习 · 计算机科学 2023-06-19 Yifan Chen , Tianning Xu , Dilek Hakkani-Tur , Di Jin , Yun Yang , Ruoqing Zhu
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