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Recently, graph neural networks (GNNs) have proved to be suitable in tasks on unstructured data. Particularly in tasks as community detection, node classification, and link prediction. However, most GNN models still operate with static…

Machine Learning · Computer Science 2019-06-07 Darwin Saire Pilco , Adín Ramírez Rivera

We present a simple and effective approach to incorporating syntactic structure into neural attention-based encoder-decoder models for machine translation. We rely on graph-convolutional networks (GCNs), a recent class of neural networks…

Computation and Language · Computer Science 2020-06-22 Jasmijn Bastings , Ivan Titov , Wilker Aziz , Diego Marcheggiani , Khalil Sima'an

Network embedding is aimed at mapping nodes in a network into low-dimensional vector representations. Graph Neural Networks (GNNs) have received widespread attention and lead to state-of-the-art performance in learning node representations.…

Social and Information Networks · Computer Science 2023-03-17 Junjie Huang , Huawei Shen , Liang Hou , Xueqi Cheng

Signed graphs are equipped with both positive and negative edge weights, encoding pairwise correlations as well as anti-correlations in data. A balanced signed graph is a signed graph with no cycles containing an odd number of negative…

Machine Learning · Computer Science 2025-06-03 Haruki Yokota , Hiroshi Higashi , Yuichi Tanaka , Gene Cheung

In this paper, we consider an inverse problem in graph learning domain -- ``given the graph representations smoothed by Graph Convolutional Network (GCN), how can we reconstruct the input graph signal?" We propose Graph Deconvolutional…

Machine Learning · Computer Science 2021-11-01 Jia Li , Jiajin Li , Yang Liu , Jianwei Yu , Yueting Li , Hong Cheng

Learning graph convolutional networks (GCNs) is an emerging field which aims at generalizing convolutional operations to arbitrary non-regular domains. In particular, GCNs operating on spatial domains show superior performances compared to…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Hichem Sahbi

Accurately reconstructing Gene Regulatory Networks (GRNs) is crucial for understanding gene functions and disease mechanisms. Single-cell RNA sequencing (scRNA-seq) technology provides vast data for computational GRN reconstruction. Since…

Molecular Networks · Quantitative Biology 2025-12-16 Rijie Xi , Weikang Xu , Wei Xiong , Yuannong Ye , Bin Zhao

Graph Neural Networks (GNNs) are the subject of intense focus by the machine learning community for problems involving relational reasoning. GNNs can be broadly divided into spatial and spectral approaches. Spatial approaches use a form of…

Machine Learning · Statistics 2021-01-05 Kimberly Stachenfeld , Jonathan Godwin , Peter Battaglia

Many interesting problems in machine learning are being revisited with new deep learning tools. For graph-based semisupervised learning, a recent important development is graph convolutional networks (GCNs), which nicely integrate local…

Machine Learning · Computer Science 2018-01-24 Qimai Li , Zhichao Han , Xiao-Ming Wu

Graph neural networks (GNNs) have been successfully employed in a myriad of applications involving graph signals. Theoretical findings establish that GNNs use nonlinear activation functions to create low-eigenvalue frequency content that…

Machine Learning · Computer Science 2022-03-08 Fernando Gama , Brendon G. Anderson , Somayeh Sojoudi

Separating multiple graph signals from a single observed mixture is an inherently ill-posed problem that traditionally relies on restrictive and handcrafted priors. This letter addresses this challenge by proposing an unsupervised learnable…

Signal Processing · Electrical Eng. & Systems 2026-04-28 Keivan Faghih Niresi , Dorina Thanou , Olga Fink

Graph embedding is an important approach for graph analysis tasks such as node classification and link prediction. The goal of graph embedding is to find a low dimensional representation of graph nodes that preserves the graph information.…

Machine Learning · Computer Science 2019-08-27 Mahsa Ghorbani , Mahdieh Soleymani Baghshah , Hamid R. Rabiee

Graph heterophily poses a formidable challenge to the performance of Message-passing Graph Neural Networks (MP-GNNs). The familiar low-pass filters like Graph Convolutional Networks (GCNs) face performance degradation, which can be…

Machine Learning · Computer Science 2025-09-17 Kushal Bose , Swagatam Das

Spectral Graph Neural Networks (Spectral GNNs) for node classification promise frequency-domain filtering on graphs, yet rest on flawed foundations. Recent work shows that graph Laplacian eigenvectors do not in general have the key…

Machine Learning · Computer Science 2026-03-27 Qin Jiang , Chengjia Wang , Michael Lones , Dongdong Chen , Wei Pang

Graph convolutional neural networks (GCNs) generalize tradition convolutional neural networks (CNNs) from low-dimensional regular graphs (e.g., image) to high dimensional irregular graphs (e.g., text documents on word embeddings). Due to…

Machine Learning · Computer Science 2021-03-30 Mehrnaz Najafi , Philip S. Yu

Designing effective graph neural networks (GNNs) with message passing has two fundamental challenges, i.e., determining optimal message-passing pathways and designing local aggregators. Previous methods of designing optimal pathways are…

Machine Learning · Computer Science 2024-11-01 Junshu Sun , Shuhui Wang , Chenxue Yang , Qingming Huang

Graph Neural Networks (GNNs) have achieved significant success across various domains by leveraging graph structures in data. Existing spectral GNNs, which use low-degree polynomial filters to capture graph spectral properties, may not…

Machine Learning · Computer Science 2025-05-09 Vahan Martirosyan , Jhony H. Giraldo , Fragkiskos D. Malliaros

Graph Convolutional Networks (GCNs) have been widely demonstrated their powerful ability in graph data representation and learning. Existing graph convolution layers are mainly designed based on graph signal processing and transform aspect…

Computer Vision and Pattern Recognition · Computer Science 2022-04-27 Ziyan Zhang , Bo Jiang , Bin Luo

Given a signed bipartite graph (SBG) G with two disjoint node sets U and V, the goal of link sign prediction is to predict the signs of potential links connecting U and V based on known positive and negative edges in G. The majority of…

Machine Learning · Computer Science 2025-08-28 Hewen Wang , Renchi Yang , Xiaokui Xiao

Graph neural networks (GNNs) are a popular class of machine learning models whose major advantage is their ability to incorporate a sparse and discrete dependency structure between data points. Unfortunately, GNNs can only be used when such…

Machine Learning · Computer Science 2020-06-22 Luca Franceschi , Mathias Niepert , Massimiliano Pontil , Xiao He