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Dynamic transportation networks have been analyzed for years by means of static graph-based indicators in order to study the temporal evolution of relevant network components, and to reveal complex dependencies that would not be easily…

Machine Learning · Statistics 2022-02-25 Hector Rodriguez-Deniz , Mattias Villani , Augusto Voltes-Dorta

Last years have seen a regain of interest for the use of stochastic block modeling (SBM) in recommender systems. These models are seen as a flexible alternative to tensor decomposition techniques that are able to handle labeled data. Recent…

Machine Learning · Computer Science 2022-09-19 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher

Social networks are often associated with rich side information, such as texts and images. While numerous methods have been developed to identify communities from pairwise interactions, they usually ignore such side information. In this…

Social and Information Networks · Computer Science 2024-03-01 Guillaume Braun , Masashi Sugiyama

Deep Markov models (DMM) are generative models that are scalable and expressive generalization of Markov models for representation, learning, and inference problems. However, the fundamental stochastic stability guarantees of such models…

Machine Learning · Computer Science 2021-11-09 Ján Drgoňa , Sayak Mukherjee , Jiaxin Zhang , Frank Liu , Mahantesh Halappanavar

Link prediction is a cornerstone of the Web ecosystem, powering applications from recommendation and search to knowledge graph completion and collaboration forecasting. However, large-scale networks present unique challenges: they contain…

Social and Information Networks · Computer Science 2026-01-29 Zhejian Yang , Songwei Zhao , Zilin Zhao , Hechang Chen

Random graphs have been widely used in statistics, for example in network analysis and graphical models. In some applications, the data may contain an inherent hierarchical ordering among its vertices, which prevents directed edges between…

Methodology · Statistics 2025-09-08 Clement Lee , Marco Battiston

Network embedding has recently emerged as a promising technique to embed nodes of a network into low-dimensional vectors. While fairly successful, most existing works focus on the embedding techniques for static networks. But in practice,…

Social and Information Networks · Computer Science 2020-10-28 Zenan Xu , Zijing Ou , Qinliang Su , Jianxing Yu , Xiaojun Quan , Zhenkun Lin

Time-varying networks are fast emerging in a wide range of scientific and business disciplines. Most existing dynamic network models are limited to a single-subject and discrete-time setting. In this article, we propose a mixed-effect…

Methodology · Statistics 2018-06-12 Jingfei Zhang , Will Wei Sun , Lexin Li

In this paper we extend our previous work on the stochastic block model, a commonly used generative model for social and biological networks, and the problem of inferring functional groups or communities from the topology of the network. We…

Statistical Mechanics · Physics 2013-05-09 Aurelien Decelle , Florent Krzakala , Cristopher Moore , Lenka Zdeborová

Latent stochastic block models are flexible statistical models that are widely used in social network analysis. In recent years, efforts have been made to extend these models to temporal dynamic networks, whereby the connections between…

Methodology · Statistics 2017-03-23 Riccardo Rastelli , Pierre Latouche , Nial Friel

This paper proposes a novel scalable community-based neural framework for graph learning. The framework learns the graph topology through the task of community detection and link prediction by optimizing with our proposed joint SBM loss…

Social and Information Networks · Computer Science 2020-05-19 Zheng Chen , Xinli Yu , Yuan Ling , Xiaohua Hu

We present a statistical framework for generating predicted dynamic networks based on the observed evolution of social relationships in a population. The framework includes a novel and flexible procedure to sample dynamic networks given a…

Social and Information Networks · Computer Science 2020-10-14 Ravi Goyal , Victor De Gruttola

Over the past few years, research on deep graph learning has shifted from static graphs to temporal graphs in response to real-world complex systems that exhibit dynamic behaviors. In practice, temporal graphs are formalized as an ordered…

Machine Learning · Computer Science 2024-10-30 Jintang Li , Ruofan Wu , Xinzhou Jin , Boqun Ma , Liang Chen , Zibin Zheng

Mixture models are probabilistic models aimed at uncovering and representing latent subgroups within a population. In the realm of network data analysis, the latent subgroups of nodes are typically identified by their connectivity…

Methodology · Statistics 2020-05-27 Giacomo De Nicola , Benjamin Sischka , Göran Kauermann

In urban spatial networks, there is an interdependency between neighborhood roles and the transportation methods between neighborhoods. In this paper, we classify docking stations in bicycle-sharing networks to gain insight into the human…

Social and Information Networks · Computer Science 2021-08-16 Jane Carlen , Jaume de Dios Pont , Cassidy Mentus , Shyr-Shea Chang , Stephanie Wang , Mason A. Porter

Community detection approaches resolve complex networks into smaller groups (communities) that are expected to be relatively edge-dense and well-connected. The stochastic block model (SBM) is one of several approaches used to uncover…

Social and Information Networks · Computer Science 2025-02-17 Minhyuk Park , Daniel Wang Feng , Siya Digra , The-Anh Vu-Le , George Chacko , Tandy Warnow

In the present paper we consider a dynamic stochastic network model. The objective is estimation of the tensor of connection probabilities $\Lambda$ when it is generated by a Dynamic Stochastic Block Model (DSBM) or a dynamic graphon. In…

Statistics Theory · Mathematics 2018-04-10 Marianna Pensky

We perform a systematic analysis of the quality of fit of the stochastic block model (SBM) for 275 empirical networks spanning a wide range of domains and orders of size magnitude. We employ posterior predictive model checking as a…

Physics and Society · Physics 2022-06-01 Felipe Vaca-Ramírez , Tiago P. Peixoto

This paper proposes a stochastic block model with dynamics where the population grows using preferential attachment. Nodes with higher weighted degree are more likely to recruit new nodes, and nodes always recruit nodes from their own…

Social and Information Networks · Computer Science 2024-01-15 Simina Brânzei , Nithish Kumar , Gireeja Ranade

Dynamic evolving networks capture temporal relations in domains such as social networks, communication networks, and financial transaction networks. In such networks, temporal motifs, which are repeated sequences of time-stamped…

Social and Information Networks · Computer Science 2022-01-03 Alexandra Porter , Baharan Mirzasoleiman , Jure Leskovec