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This work is a study of the properties of collaboration networks employing the formalism of weighted graphs to represent their one-mode projection. The weight of the edges is directly the number of times that a partnership has been…

Physics and Society · Physics 2009-11-11 Jose J. Ramasco , Steven A. Morris

Most real-world graphs exhibit a hierarchical structure, which is often overlooked by existing graph generation methods. To address this limitation, we propose a novel graph generative network that captures the hierarchical nature of graphs…

Machine Learning · Computer Science 2026-01-01 Mahdi Karami

Graph Neural Networks (GNNs) have already been widely used in various graph mining tasks. However, recent works reveal that the learned weights (channels) in well-trained GNNs are highly redundant, which inevitably limits the performance of…

Machine Learning · Computer Science 2023-10-05 Liang Zeng , Jin Xu , Zijun Yao , Yanqiao Zhu , Jian Li

We present a simple iterative strategy for measuring the connection strength between a pair of vertices in a graph. The method is attractive in that it has a linear complexity and can be easily parallelized. Based on an analysis of the…

Discrete Mathematics · Computer Science 2009-09-24 Jie Chen , Ilya Safro

One practice of employing deep neural networks is to apply the same architecture to all the input instances. However, a fixed architecture may not be representative enough for data with high diversity. To promote the model capacity,…

Computer Vision and Pattern Recognition · Computer Science 2020-10-05 Kun Yuan , Quanquan Li , Dapeng Chen , Aojun Zhou , Junjie Yan

An undirected weighted graph (UWG) is frequently adopted to describe the interactions among a solo set of nodes from real applications, such as the user contact frequency from a social network services system. A graph convolutional network…

Machine Learning · Computer Science 2022-12-01 Ying Wang , Ye Yuan , Xin Luo

The rise of digital ecosystems has exposed the financial sector to evolving abuse and criminal tactics that share operational knowledge and techniques both within and across different environments (fiat-based, crypto-assets, etc.).…

Machine Learning · Computer Science 2025-09-17 Francesco Zola , Jon Ander Medina , Andrea Venturi , Amaia Gil , Raul Orduna

Objective: Modelling the associations from high-throughput experimental molecular data has provided unprecedented insights into biological pathways and signalling mechanisms. Graphical models and networks have especially proven to be useful…

Machine Learning · Statistics 2013-04-24 Marco Scutari , Radhakrishnan Nagarajan

We consider the setting where many networks are observed on a common node set, and each observation comprises edge weights of a network, covariates observed at each node, and an overall response. The goal is to use the edge weights and node…

Methodology · Statistics 2023-08-23 Daniel Kessler , Keith Levin , Elizaveta Levina

The study of networks has emerged in diverse disciplines as a means of analyzing complex relationship data. Beyond graph analysis tasks like graph query processing, link analysis, influence propagation, there has recently been some work in…

Social and Information Networks · Computer Science 2017-11-15 Supriya Pandhre , Manish Gupta , Vineeth N Balasubramanian

This paper introduces a nonparametric framework for the setting where multiple networks are observed on the same set of nodes, also known as multiplex networks. Our objective is to provide a simple parameterization which explicitly captures…

Methodology · Statistics 2022-02-21 Swati Chandna , Svante Janson , Sofia C. Olhede

Graph matching can be formalized as a combinatorial optimization problem, where there are corresponding relationships between pairs of nodes that can be represented as edges. This problem becomes challenging when there are potential…

Computer Vision and Pattern Recognition · Computer Science 2023-01-06 Dongdong Chen , Yuxing Dai , Lichi Zhang , Zhihong Zhang

Most real-world networks are weighted graphs with the weight of the edges reflecting the relative importance of the connections. In this work, we study non degree dependent correlations between edge weights, generalizing thus the…

Statistical Mechanics · Physics 2009-11-11 Jose J. Ramasco , Bruno Goncalves

Graph learning problems are typically approached by focusing on learning the topology of a single graph when signals from all nodes are available. However, many contemporary setups involve multiple related networks and, moreover, it is…

Signal Processing · Electrical Eng. & Systems 2022-12-06 Samuel Rey , Madeline Navarro , Andrei Buciulea , Santiago Segarra , Antonio G. Marques

In most domains of network analysis researchers consider networks that arise in nature with weighted edges. Such networks are routinely dichotomized in the interest of using available methods for statistical inference with networks. The…

Methodology · Statistics 2016-11-10 James D. Wilson , Matthew J. Denny , Shankar Bhamidi , Skyler Cranmer , Bruce Desmarais

Graph Convolution Networks (GCNs) are widely considered state-of-the-art for recommendation systems. Several studies in the field of recommendation systems have attempted to apply collaborative filtering (CF) into the Neural ODE framework.…

Information Retrieval · Computer Science 2025-01-24 Ke Xu , Weizhi Zhang , Zihe Song , Yuanjie Zhu , Philip S. Yu

The problem of connectivity assessment in an asymmetric network represented by a weighted directed graph is investigated in this article. A power iteration algorithm in a centralized implementation is developed first to compute the…

Systems and Control · Electrical Eng. & Systems 2023-08-10 M. Mehdi Asadi , Mohammad Khosravi , Hesam Mosalli , Stephane Blouin , Amir G. Aghdam

We analyze the correlation between randomly chosen edge weights on neighboring edges in a directed graph. This shared-endpoint correlation controls the expected organization of randomly drawn edge flows when the flow on each edge is…

Statistics Theory · Mathematics 2024-11-13 Joshua Richland , Alexander Strang

Twitter bot detection has become an important and challenging task to combat misinformation and protect the integrity of the online discourse. State-of-the-art approaches generally leverage the topological structure of the Twittersphere,…

Social and Information Networks · Computer Science 2021-12-14 Shangbin Feng , Zhaoxuan Tan , Rui Li , Minnan Luo

This paper introduces and demonstrates a computational pipeline for the statistical analysis of shape graph datasets, namely geometric networks embedded in 2D or 3D spaces. Unlike traditional abstract graphs, our purpose is not only to…

Machine Learning · Computer Science 2026-02-19 Murad Hossen , Demetrio Labate , Nicolas Charon
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