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Graph convolutional neural networks (GCNNs) are popular deep learning architectures that, upon replacing regular convolutions with graph filters (GFs), generalize CNNs to irregular domains. However, classical GFs are prone to numerical…

信号处理 · 电气工程与系统科学 2022-10-18 Victor M. Tenorio , Samuel Rey , Fernando Gama , Santiago Segarra , Antonio G. Marques

Many different classification tasks need to manage structured data, which are usually modeled as graphs. Moreover, these graphs can be dynamic, meaning that the vertices/edges of each graph may change during time. Our goal is to jointly…

机器学习 · 计算机科学 2019-08-20 Franco Manessi , Alessandro Rozza , Mario Manzo

Automatic building extraction from optical imagery remains a challenge due to, for example, the complexity of building shapes. Semantic segmentation is an efficient approach for this task. The latest development in deep convolutional neural…

计算机视觉与模式识别 · 计算机科学 2019-11-11 Yilei Shi , Qingyu Li , Xiao Xiang Zhu

Graph deep learning has recently emerged as a powerful ML concept allowing to generalize successful deep neural architectures to non-Euclidean structured data. Such methods have shown promising results on a broad spectrum of applications…

机器学习 · 计算机科学 2022-05-16 Anees Kazi , Luca Cosmo , Seyed-Ahmad Ahmadi , Nassir Navab , Michael Bronstein

Graph convolutional networks have been successful in addressing graph-based tasks such as semi-supervised node classification. Existing methods use a network structure defined by the user based on experimentation with fixed number of layers…

机器学习 · 计算机科学 2021-01-21 Negar Heidari , Alexandros Iosifidis

Knowledge graphs are graphical representations of large databases of facts, which typically suffer from incompleteness. Inferring missing relations (links) between entities (nodes) is the task of link prediction. A recent state-of-the-art…

机器学习 · 计算机科学 2019-09-12 Ivana Balažević , Carl Allen , Timothy M. Hospedales

Traditional classification tasks learn to assign samples to given classes based solely on sample features. This paradigm is evolving to include other sources of information, such as known relations between samples. Here we show that, even…

机器学习 · 计算机科学 2021-04-15 Yifan Qian , Paul Expert , Pietro Panzarasa , Mauricio Barahona

Group convolutional layers with respect to some group $G$ are modeled by convolutions or cross-correlations with a filter, and they provide the fundamental building block for group convolutional neural networks. For entirely unconstrained…

动力系统 · 数学 2026-03-10 Benedikt Fluhr

We study Graph Convolutional Networks (GCN) from the graph signal processing viewpoint by addressing a difference between learning graph filters with fully connected weights versus trainable polynomial coefficients. We find that by stacking…

机器学习 · 计算机科学 2020-11-24 Hoang NT , Takanori Maehara , Tsuyoshi Murata

Graph Neural Networks (GNNs) as deep learning models working on graph-structure data have achieved advanced performance in many works. However, it has been proved repeatedly that, not all edges in a graph are necessary for the training of…

社会与信息网络 · 计算机科学 2022-11-11 Zishan Gu , Jintang Li , Liang Chen

Adversarial attacks present a significant risk to the integrity and performance of graph neural networks, particularly in tasks where graph structure and node features are vulnerable to manipulation. In this paper, we present a novel model,…

机器学习 · 计算机科学 2025-11-04 Shakib Khan , A. Ben Hamza , Amr Youssef

We propose a novel formulation of deep networks that do not use dot-product neurons and rely on a hierarchy of voting tables instead, denoted as Convolutional Tables (CT), to enable accelerated CPU-based inference. Convolutional layers are…

计算机视觉与模式识别 · 计算机科学 2023-04-25 Shay Dekel , Yosi Keller , Aharon Bar-Hillel

Graph neural networks (GNNs) have become a workhorse approach for learning from data defined over irregular domains, typically by implicitly assuming that the data structure is represented by a homophilic graph. However, recent works have…

机器学习 · 计算机科学 2024-09-16 Samuel Rey , Madeline Navarro , Victor M. Tenorio , Santiago Segarra , Antonio G. Marques

Graph convolutional networks (GCNs) are widely used in graph-based applications such as graph classification and segmentation. However, current GCNs have limitations on implementation such as network architectures due to their irregular…

计算机视觉与模式识别 · 计算机科学 2021-05-25 Yecheng Lyu , Xinming Huang , Ziming Zhang

Disentangled representation learning has recently attracted a significant amount of attention, particularly in the field of image representation learning. However, learning the disentangled representations behind a graph remains largely…

机器学习 · 计算机科学 2020-06-11 Xiaojie Guo , Liang Zhao , Zhao Qin , Lingfei Wu , Amarda Shehu , Yanfang Ye

Edge features contain important information about graphs. However, current state-of-the-art neural network models designed for graph learning, e.g. graph convolutional networks (GCN) and graph attention networks (GAT), adequately utilize…

机器学习 · 计算机科学 2019-01-29 Liyu Gong , Qiang Cheng

Graph convolutional networks (GCNs) enable end-to-end learning on graph structured data. However, many works assume a given graph structure. When the input graph is noisy or unavailable, one approach is to construct or learn a latent graph…

计算机视觉与模式识别 · 计算机科学 2023-07-19 Avishkar Saha , Oscar Mendez , Chris Russell , Richard Bowden

Spectral graph convolution, an important tool of data filtering on graphs, relies on two essential decisions: selecting spectral bases for signal transformation and parameterizing the kernel for frequency analysis. While recent techniques…

机器学习 · 计算机科学 2025-05-15 Nian Liu , Xiaoxin He , Thomas Laurent , Francesco Di Giovanni , Michael M. Bronstein , Xavier Bresson

Neural networks that compute over graph structures are a natural fit for problems in a variety of domains, including natural language (parse trees) and cheminformatics (molecular graphs). However, since the computation graph has a different…

神经与进化计算 · 计算机科学 2017-02-23 Moshe Looks , Marcello Herreshoff , DeLesley Hutchins , Peter Norvig

We study the design of graph filters to implement arbitrary linear transformations between graph signals. Graph filters can be represented by matrix polynomials of the graph-shift operator, which captures the structure of the graph and is…

信息论 · 计算机科学 2017-05-23 Santiago Segarra , Antonio G. Marques , Alejandro Ribeiro