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Convolutional neural networks (CNNs) have massively impacted visual recognition in 2D images, and are now ubiquitous in state-of-the-art approaches. CNNs do not easily extend, however, to data that are not represented by regular grids, such…

Computer Vision and Pattern Recognition · Computer Science 2018-03-29 Nitika Verma , Edmond Boyer , Jakob Verbeek

With recent advancements in graph neural networks (GNNs), spectral GNNs have received increasing popularity by virtue of their ability to retrieve graph signals in the spectral domain. These models feature uniqueness in efficient…

Machine Learning · Computer Science 2025-08-21 Ningyi Liao , Haoyu Liu , Zulun Zhu , Siqiang Luo , Laks V. S. Lakshmanan

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

Many machine learning applications require outputs that satisfy complex, dynamic constraints. This task is particularly challenging in Graph Neural Network models due to the variable output sizes of graph-structured data. In this paper, we…

Machine Learning · Computer Science 2025-10-14 Ahmed Rashwan , Keith Briggs , Chris Budd , Lisa Kreusser

Graph neural networks (GNNs) have received tremendous attention due to their superiority in learning node representations. These models rely on message passing and feature transformation functions to encode the structural and feature…

Machine Learning · Computer Science 2021-12-02 Kai Guo , Kaixiong Zhou , Xia Hu , Yu Li , Yi Chang , Xin Wang

Graph Neural Networks (GNNs) are a predominant method for graph representation learning. However, beyond subgraph frequency estimation, their application to network motif significance-profile (SP) prediction remains under-explored, with no…

Machine Learning · Computer Science 2025-07-11 Pedro C. Vieira , Miguel E. P. Silva , Pedro Manuel Pinto Ribeiro

Graph learning is currently dominated by graph kernels, which, while powerful, suffer some significant limitations. Convolutional Neural Networks (CNNs) offer a very appealing alternative, but processing graphs with CNNs is not trivial. To…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Antoine Jean-Pierre Tixier , Giannis Nikolentzos , Polykarpos Meladianos , Michalis Vazirgiannis

We propose a novel benchmarking methodology for graph neural networks (GNNs) based on the graph alignment problem, a combinatorial optimization task that generalizes graph isomorphism by aligning two unlabeled graphs to maximize overlapping…

Machine Learning · Computer Science 2025-05-20 Adrien Lagesse , Marc Lelarge

Graph Neural Networks (GNNs) show strong expressive power on graph data mining, by aggregating information from neighbors and using the integrated representation in the downstream tasks. The same aggregation methods and parameters for each…

Machine Learning · Computer Science 2022-03-22 Xiaojun Ma , Qin Chen , Yuanyi Ren , Guojie Song , Liang Wang

Graph neural networks (GNNs) work remarkably well in semi-supervised node regression, yet a rigorous theory explaining when and why they succeed remains lacking. To address this gap, we study an aggregate-and-readout model that encompasses…

Machine Learning · Statistics 2026-02-20 Juntong Chen , Claire Donnat , Olga Klopp , Johannes Schmidt-Hieber

Convolution Neural Networks on Graphs are important generalization and extension of classical CNNs. While previous works generally assumed that the graph structures of samples are regular with unified dimensions, in many applications, they…

Machine Learning · Computer Science 2017-08-17 Ruoyu Li , Junzhou Huang

Deep learning utilizing deep neural networks (DNNs) has achieved a lot of success recently in many important areas such as computer vision, natural language processing, and recommendation systems. The lack of convexity for DNNs has been…

Machine Learning · Computer Science 2022-06-14 Jingcheng Zhou , Wei Wei , Xing Li , Bowen Pang , Zhiming Zheng

Graph Convolutional Networks (GCNs) have become a pivotal method in machine learning for modeling functions over graphs. Despite their widespread success across various applications, their statistical properties (e.g., consistency,…

Machine Learning · Computer Science 2025-04-17 Juntong Chen , Johannes Schmidt-Hieber , Claire Donnat , Olga Klopp

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…

Machine Learning · Computer Science 2023-10-12 Drake Brown , Trevor Garrity , Kaden Parker , Jason Oliphant , Stone Carson , Cole Hanson , Zachary Boyd

We introduce GSimCNN (Graph Similarity Computation via Convolutional Neural Networks) for predicting the similarity score between two graphs. As the core operation of graph similarity search, pairwise graph similarity computation is a…

Machine Learning · Computer Science 2018-11-15 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

Graph convolutional networks (GCNs) are a widely used method for graph representation learning. We investigate the power of GCNs, as a function of their number of layers, to distinguish between different random graph models on the basis of…

Machine Learning · Statistics 2020-02-14 Abram Magner , Mayank Baranwal , Alfred O. Hero

As much as Graph Convolutional Networks (GCNs) have shown tremendous success in recommender systems and collaborative filtering (CF), the mechanism of how they, especially the core components (\textit{i.e.,} neighborhood aggregation)…

Information Retrieval · Computer Science 2022-04-26 Shaowen Peng , Kazunari Sugiyama , Tsunenori Mine

Graph Convolutional Networks (GCNs) are one of the most popular architectures that are used to solve classification problems accompanied by graphical information. We present a rigorous theoretical understanding of the effects of graph…

Machine Learning · Computer Science 2022-08-03 Aseem Baranwal , Kimon Fountoulakis , Aukosh Jagannath

Graph Neural Networks have recently become a prevailing paradigm for various high-impact graph analytical problems. Existing efforts can be mainly categorized as spectral-based and spatial-based methods. The major challenge for the former…

Machine Learning · Computer Science 2022-02-22 Yushun Dong , Kaize Ding , Brian Jalaian , Shuiwang Ji , Jundong Li

Deep convolutional neural network (CNN) training via iterative optimization has had incredible success in finding optimal parameters. However, modern CNN architectures often contain millions of parameters. Thus, any given model for a single…

Machine Learning · Computer Science 2023-08-21 Stone Yun , Alexander Wong