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This paper introduces SigMaNet, a generalized Graph Convolutional Network (GCN) capable of handling both undirected and directed graphs with weights not restricted in sign nor magnitude. The cornerstone of SigMaNet is the Sign-Magnetic…

Machine Learning · Computer Science 2023-01-03 Stefano Fiorini , Stefano Coniglio , Michele Ciavotta , Enza Messina

In business analysis, providing effective recommendations is essential for enhancing company profits. The utilization of graph-based structures, such as bipartite graphs, has gained popularity for their ability to analyze complex data…

Information Retrieval · Computer Science 2025-01-14 Jiayang Wu , Wensheng Gan , Huashen Lu , Philip S. Yu

In this paper we investigated the possibility to use the magnetic Laplacian to characterize directed graphs (a.k.a. networks). Many interesting results are obtained, including the finding that community structure is related to rotational…

Social and Information Networks · Computer Science 2020-08-04 Bruno Messias F. de Resende , Luciano da F. Costa

Graphs are fundamental mathematical structures used in various fields to represent data, signals and processes. In this paper, we propose a novel framework for learning/estimating graphs from data. The proposed framework includes (i)…

Machine Learning · Computer Science 2017-07-07 Hilmi E. Egilmez , Eduardo Pavez , Antonio Ortega

Multi-graph learning is crucial for extracting meaningful signals from collections of heterogeneous graphs. However, effectively integrating information across graphs with differing topologies, scales, and semantics, often in the absence of…

Machine Learning · Computer Science 2026-02-02 Zahra Moslemi , Ziyi Liang , Norbert Fortin , Babak Shahbaba

Graph-based neural network models are gaining traction in the field of representation learning due to their ability to uncover latent topological relationships between entities that are otherwise challenging to identify. These models have…

Image and Video Processing · Electrical Eng. & Systems 2023-07-25 Aryan Singh , Pepijn Van de Ven , Ciarán Eising , Patrick Denny

The collaboration between agents has gradually become an important topic in multi-agent systems. The key is how to efficiently solve the credit assignment problems. This paper introduces MGAN for collaborative multi-agent reinforcement…

Multiagent Systems · Computer Science 2021-05-14 Zhiwei Xu , Bin Zhang , Yunpeng Bai , Dapeng Li , Guoliang Fan

Motivated by discrete Laplacian differential operators with various accuracy orders in numerical analysis, we introduce new matrices attached to a simple graph that can be considered graph Laplacians with higher accuracy. In particular, we…

Combinatorics · Mathematics 2025-04-09 Mary Yoon

We introduce the Geometric Evolution Graph Convolutional Network (GEGCN), a novel framework that enhances graph representation learning through explicit modeling of geometric evolution on graph structures. Specifically, GEGCN leverages a…

Machine Learning · Computer Science 2026-05-07 Jicheng Ma , Yunyan Yang , Juan Zhao , Liang Zhao

Spectral graph convolutional networks (GCNs) are particular deep models which aim at extending neural networks to arbitrary irregular domains. The principle of these networks consists in projecting graph signals using the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-28 Hichem Sahbi

Convolutional layers within graph neural networks operate by aggregating information about local neighbourhood structures; one common way to encode such substructures is through random walks. The distribution of these random walks evolves…

Machine Learning · Computer Science 2022-05-30 Csaba Toth , Darrick Lee , Celia Hacker , Harald Oberhauser

In this paper, a novel multi-view methodology for graph-based neural networks is proposed. A systematic and methodological adaptation of the key concepts of classical deep learning methods such as convolution, pooling and multi-view…

Computer Vision and Pattern Recognition · Computer Science 2020-07-27 Nikolas Adaloglou , Nicholas Vretos , Petros Daras

Graph Neural Networks (GNNs) have achieved promising performance in semi-supervised node classification in recent years. However, the problem of insufficient supervision, together with representation collapse, largely limits the performance…

Machine Learning · Computer Science 2025-03-07 Xihong Yang , Yiqi Wang , Yue Liu , Yi Wen , Lingyuan Meng , Sihang Zhou , Xinwang Liu , En Zhu

Semi-supervised learning on graph structured data has received significant attention with the recent introduction of Graph Convolution Networks (GCN). While traditional methods have focused on optimizing a loss augmented with Laplacian…

Machine Learning · Computer Science 2019-01-04 Prateek Yadav , Madhav Nimishakavi , Naganand Yadati , Shikhar Vashishth , Arun Rajkumar , Partha Talukdar

Graph Convolutional Networks (GCNs) have been shown to be a powerful concept that has been successfully applied to a large variety of tasks across many domains over the past years. In this work we study the theory that paved the way to the…

Machine Learning · Computer Science 2022-07-13 Matteo Bunino

Graph neural network, as a powerful graph representation technique based on deep learning, has shown superior performance and attracted considerable research interest. However, it has not been fully considered in graph neural network for…

Social and Information Networks · Computer Science 2021-01-21 Xiao Wang , Houye Ji , Chuan Shi , Bai Wang , Peng Cui , P. Yu , Yanfang Ye

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

Dynamic graphs (DG) are often used to describe evolving interactions between nodes in real-world applications. Temporal patterns are a natural feature of DGs and are also key to representation learning. However, existing dynamic GCN models…

Machine Learning · Computer Science 2024-08-07 Ling Wang , Yixiang Huang , Hao Wu

In many real-world network datasets such as co-authorship, co-citation, email communication, etc., relationships are complex and go beyond pairwise. Hypergraphs provide a flexible and natural modeling tool to model such complex…

Machine Learning · Computer Science 2019-05-23 Naganand Yadati , Madhav Nimishakavi , Prateek Yadav , Vikram Nitin , Anand Louis , Partha Talukdar

Graph convolutional networks (GCNs) have emerged as a powerful alternative to multiple instance learning with convolutional neural networks in digital pathology, offering superior handling of structural information across various spatial…

Image and Video Processing · Electrical Eng. & Systems 2024-03-25 Victor Ibañez , Przemyslaw Szostak , Quincy Wong , Konstanty Korski , Samaneh Abbasi-Sureshjani , Alvaro Gomariz
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