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We connect two random graph models, the Popularity Adjusted Block Model (PABM) and the Generalized Random Dot Product Graph (GRDPG), by demonstrating that the PABM is a special case of the GRDPG in which communities correspond to mutually…

Machine Learning · Statistics 2022-06-13 John Koo , Minh Tang , Michael W. Trosset

In recent years, many recommender systems using network embedding (NE) such as graph neural networks (GNNs) have been extensively studied in the sense of improving recommendation accuracy. However, such attempts have focused mostly on…

Information Retrieval · Computer Science 2022-05-20 Changwon Seo , Kyeong-Joong Jeong , Sungsu Lim , Won-Yong Shin

Graph neural networks (GNNs) have drawn increasing attention in recent years and achieved remarkable performance in many graph-based tasks, especially in semi-supervised learning on graphs. However, most existing GNNs are based on the…

Machine Learning · Computer Science 2024-01-24 Li Zhou , Wenyu Chen , Dingyi Zeng , Shaohuan Cheng , Wanlong Liu , Malu Zhang , Hong Qu

A regularized version of Mixture Models is proposed to learn a principal graph from a distribution of $D$-dimensional data points. In the particular case of manifold learning for ridge detection, we assume that the underlying manifold can…

Machine Learning · Computer Science 2023-07-13 Tony Bonnaire , Aurélien Decelle , Nabila Aghanim

Graph clustering aims at discovering a natural grouping of the nodes such that similar nodes are assigned to a common cluster. Many different algorithms have been proposed in the literature: for simple graphs, for graphs with attributes…

Machine Learning · Computer Science 2023-11-06 Ylli Sadikaj , Yllka Velaj , Sahar Behzadi , Claudia Plant

Several network embedding models have been developed for unsigned networks. However, these models based on skip-gram cannot be applied to signed networks because they can only deal with one type of link. In this paper, we present our signed…

Social and Information Networks · Computer Science 2017-03-16 Shuhan Yuan , Xintao Wu , Yang Xiang

Random geometric graphs (RGGs) are commonly used to model networked systems that depend on the underlying spatial embedding. We concern ourselves with the probability distribution of an RGG, which is crucial for studying its random…

Information Theory · Computer Science 2018-01-16 Mihai-Alin Badiu , Justin P. Coon

Unsupervised graph representation learning aims to learn low-dimensional node embeddings without supervision while preserving graph topological structures and node attributive features. Previous graph neural networks (GNN) require a large…

Machine Learning · Computer Science 2020-09-04 Yanqiao Zhu , Yichen Xu , Feng Yu , Shu Wu , Liang Wang

We provide a novel new approach for aligning geometric models using a dual graph structure where local features are mapping probabilities. Alignment of non-rigid structures is one of the most challenging computer vision tasks due to the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Dvir Ginzburg , Dan Raviv

We investigate online network topology identification from smooth nodal observations acquired in a streaming fashion. Different from non-adaptive batch solutions, our distinctive goal is to track the (possibly) dynamic adjacency matrix with…

Signal Processing · Electrical Eng. & Systems 2022-11-15 Seyed Saman Saboksayr , Gonzalo Mateos

A network intrusion usually involves a number of network locations. Data flow (including the data generated by intrusion behaviors) among these locations (usually represented by IP addresses) naturally forms a graph. Thus, graph neural…

Cryptography and Security · Computer Science 2023-10-27 Xiang Li , Jing Zhang , Yali Yuan , Cangqi Zhou

Graph Neural Networks (GNNs) are the first choice methods for graph machine learning problems thanks to their ability to learn state-of-the-art level representations from graph-structured data. However, centralizing a massive amount of…

Machine Learning · Computer Science 2021-06-08 Chaoyang He , Emir Ceyani , Keshav Balasubramanian , Murali Annavaram , Salman Avestimehr

Random walks play an important role in probing the structure of complex networks. On traditional networks, they can be used to extract community structure, understand node centrality, perform link prediction, or capture the similarity…

Physics and Society · Physics 2024-06-13 Shazia'Ayn Babul , Yu Tian , Renaud Lambiotte

We propose a novel approach for visual representation learning called Signature-Graph Neural Networks (SGN). SGN learns latent global structures that augment the feature representation of Convolutional Neural Networks (CNN). SGN constructs…

Computer Vision and Pattern Recognition · Computer Science 2021-10-25 Ali Hamdi , Flora Salim , Du Yong Kim , Xiaojun Chang

In graph property testing the task is to distinguish whether a graph satisfies a given property or is "far" from having that property, preferably with a sublinear query and time complexity. In this work we initiate the study of property…

Data Structures and Algorithms · Computer Science 2021-02-16 Florian Adriaens , Simon Apers

Graph Neural Networks (GNNs) often struggle with heterophilic data, where connected nodes may have dissimilar labels, as they typically assume homophily and rely on local message passing. To address this, we propose creating alternative…

Machine Learning · Computer Science 2025-06-11 Victor M. Tenorio , Madeline Navarro , Samuel Rey , Santiago Segarra , Antonio G. Marques

Mixture model-based frameworks are very popular for statistical inference in clustering. While convenient for producing probabilistic estimates of cluster assignments and uncertainty, they are prone to misspecification, which can lead to…

Statistics Theory · Mathematics 2026-05-15 Yu Zheng , Leo L. Duan , Arkaprava Roy

While all kinds of mixed data -from personal data, over panel and scientific data, to public and commercial data- are collected and stored, building probabilistic graphical models for these hybrid domains becomes more difficult. Users spend…

Machine Learning · Computer Science 2017-11-07 Alejandro Molina , Antonio Vergari , Nicola Di Mauro , Sriraam Natarajan , Floriana Esposito , Kristian Kersting

We propose a Markov chain simulation method to generate simple connected random graphs with a specified degree sequence and level of clustering. The networks generated by our algorithm are random in all other respects and can thus serve as…

Discrete Mathematics · Computer Science 2010-02-09 Shweta Bansal , Shashank Khandelwal , Lauren Ancel Meyers

Graph Neural Networks usually rely on the assumption that the graph topology is available to the network as well as optimal for the downstream task. Latent graph inference allows models to dynamically learn the intrinsic graph structure of…

Machine Learning · Computer Science 2023-06-28 Haitz Sáez de Ocáriz Borde , Anees Kazi , Federico Barbero , Pietro Liò
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