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Spectral graph convolutional neural networks (GCNNs) have been producing encouraging results in graph classification tasks. However, most spectral GCNNs utilize fixed graphs when aggregating node features, while omitting edge feature…

计算机视觉与模式识别 · 计算机科学 2022-10-06 Yang Yi , Xuequan Lu , Shang Gao , Antonio Robles-Kelly , Yuejie Zhang

Graph neural networks (GNNs) have emerged as a powerful tool for graph classification and representation learning. However, GNNs tend to suffer from over-smoothing problems and are vulnerable to graph perturbations. To address these…

机器学习 · 计算机科学 2021-11-01 Yuzhou Chen , Baris Coskunuzer , Yulia R. Gel

Graphs are central to modeling complex systems in domains such as social networks, molecular chemistry, and neuroscience. While Graph Neural Networks, particularly Graph Convolutional Networks, have become standard tools for graph learning,…

机器学习 · 计算机科学 2025-11-03 Angelica Liguori , Ettore Ritacco , Pietro Sabatino , Annalisa Socievole

Graph convolutional networks (GCNs) are powerful deep neural networks for graph-structured data. However, GCN computes the representation of a node recursively from its neighbors, making the receptive field size grow exponentially with the…

机器学习 · 统计学 2018-03-02 Jianfei Chen , Jun Zhu , Le Song

Many material response functions depend strongly on microstructure, such as inhomogeneities in phase or orientation. Homogenization presents the task of predicting the mean response of a sample of the microstructure to external loading for…

机器学习 · 计算机科学 2022-10-04 Reese Jones , Cosmin Safta , Ari Frankel

We introduce a flexible setup allowing for a neural network to learn both its size and topology during the course of a standard gradient-based training. The resulting network has the structure of a graph tailored to the particular learning…

机器学习 · 计算机科学 2020-07-16 Romuald A. Janik , Aleksandra Nowak

-Background. Network neuroscience examines the brain as a complex system represented by a network (or connectome), providing deeper insights into the brain morphology and function, allowing the identification of atypical brain connectivity…

神经元与认知 · 定量生物学 2020-09-01 Mert Lostar , Islem Rekik

In recent years, graph neural networks (GNNs) have gained increasing popularity and have shown very promising results for data that are represented by graphs. The majority of GNN architectures are designed based on developing new…

机器学习 · 统计学 2021-10-05 Anahita Iravanizad , Edgar Ivan Sanchez Medina , Martin Stoll

Graph Neural Networks (GNN) have recently gained popularity in the forecasting domain due to their ability to model complex spatial and temporal patterns in tasks such as traffic forecasting and region-based demand forecasting. Most of…

机器学习 · 计算机科学 2023-12-08 Abishek Sriramulu , Nicolas Fourrier , Christoph Bergmeir

Current deep neural networks are highly overparameterized (up to billions of connection weights) and nonlinear. Yet they can fit data almost perfectly through variants of gradient descent algorithms and achieve unexpected levels of…

Recent studies have shown that graph neural networks (GNNs) exhibit strong biases towards the node degree: they usually perform satisfactorily on high-degree nodes with rich neighbor information but struggle with low-degree nodes. Existing…

机器学习 · 计算机科学 2023-10-03 Mingxuan Ju , Tong Zhao , Wenhao Yu , Neil Shah , Yanfang Ye

Modelling long-range dependencies is critical for scene understanding tasks in computer vision. Although convolution neural networks (CNNs) have excelled in many vision tasks, they are still limited in capturing long-range structured…

计算机视觉与模式识别 · 计算机科学 2022-09-21 Li Zhang , Mohan Chen , Anurag Arnab , Xiangyang Xue , Philip H. S. Torr

A graphon is a limiting object used to describe the behaviour of large networks through a function that captures the probability of edge formation between nodes. Although the merits of graphons to describe large and unlabelled networks are…

统计方法学 · 统计学 2024-08-23 Charles Dufour , Sofia C. Olhede

The decoupled Graph Convolutional Network (GCN), a recent development of GCN that decouples the neighborhood aggregation and feature transformation in each convolutional layer, has shown promising performance for graph representation…

机器学习 · 计算机科学 2022-11-16 Jinsong Chen , Boyu Li , Kun He

Over-parameterized neural network models often lead to significant performance discrepancies between training and test sets, a phenomenon known as overfitting. To address this, researchers have proposed numerous regularization techniques…

机器学习 · 计算机科学 2025-01-27 RuiZhe Jiang , Haotian Lei

Link prediction is a fundamental problem in graph data analysis. While most of the literature focuses on transductive link prediction that requires all the graph nodes and majority of links in training, inductive link prediction, which only…

机器学习 · 计算机科学 2021-10-01 Huidong Liang , Junbin Gao

In recent years, network embedding methods have garnered increasing attention because of their effectiveness in various information retrieval tasks. The goal is to learn low-dimensional representations of vertexes in an information network…

社会与信息网络 · 计算机科学 2017-11-02 Chih-Ming Chen , Yi-Hsuan Yang , Yian Chen , Ming-Feng Tsai

Current graph neural networks (GNNs) lack generalizability with respect to scales (graph sizes, graph diameters, edge weights, etc..) when solving many graph analysis problems. Taking the perspective of synthesizing graph theory programs,…

机器学习 · 计算机科学 2020-10-27 Hao Tang , Zhiao Huang , Jiayuan Gu , Bao-Liang Lu , Hao Su

Graph Neural Networks (GNNs) exhibit excellent performance when graphs have strong homophily property, i.e. connected nodes have the same labels. However, they perform poorly on heterophilic graphs. Several approaches address the issue of…

机器学习 · 计算机科学 2021-07-29 Vijay Lingam , Rahul Ragesh , Arun Iyer , Sundararajan Sellamanickam

Subgraph matching is to find all subgraphs in a data graph that are isomorphic to an existing query graph. Subgraph matching is an NP-hard problem, yet has found its applications in many areas. Many learning-based methods have been proposed…

离散数学 · 计算机科学 2022-11-09 Zixun Lan , Ye Ma , Limin Yu , LingLong Yuan , Fei Ma