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Durable interactions are ubiquitous in social network analysis and are increasingly observed with precise time stamps. Phone and video calls, for example, are events to which a specific duration can be assigned. We term data encoding…

Methodology · Statistics 2026-02-05 Cornelius Fritz , Riccardo Rastelli , Michael Fop , Alberto Caimo

Time-limited states characterise many dynamical processes on networks: disease infected individuals recover after some time, people forget news spreading on social networks, or passengers may not wait forever for a connection. These…

Physics and Society · Physics 2023-06-13 Arash Badie-Modiri , Márton Karsai , Mikko Kivelä

Self-exciting point processes are widely used to model the contagious effects of crime events living within continuous geographic space, using their occurrence time and locations. However, in urban environments, most events are naturally…

Applications · Statistics 2025-10-01 Zheng Dong , Jorge Mateu , Yao Xie

We consider the problem of estimating the location of a single change point in a dynamic stochastic block model. We propose two methods of estimating the change point, together with the model parameters. The first employs a least squares…

Statistics Theory · Mathematics 2020-05-21 Monika Bhattacharjee , Moulinath Banerjee , George Michailidis

We analyze the bootstrap percolation process on the stochastic block model (SBM), a natural extension of the Erd\"{o}s--R\'{e}nyi random graph that allows representing the "community structure" observed in many real systems. In the SBM,…

Probability · Mathematics 2020-09-25 Giovanni Luca Torrisi , Michele Garetto , Emilio Leonardi

In the search for unmodeled gravitational wave bursts, there are a variety of methods that have been proposed to generate candidate events from time series data. Block Normal is a method of identifying candidate events by searching for…

General Relativity and Quantum Cosmology · Physics 2009-05-13 J W C McNabb , M Ashley , L S Finn , E Rotthoff , A Stuver , T Summerscales , P Sutton , M Tibbits , K Thorne , K Zaleski

Many real-world networks are complex dynamical systems, where both local (e.g., changing node attributes) and global (e.g., changing network topology) processes unfold over time. Local dynamics may provoke global changes in the network, and…

Machine Learning · Computer Science 2017-10-10 Wenzhe Li , Dong Guo , Greg Ver Steeg , Aram Galstyan

Modeling event dynamics is central to many disciplines. Patterns in observed event arrival times are commonly modeled using point processes. Such event arrival data often exhibits self-exciting, heterogeneous and sporadic trends, which is…

Applications · Statistics 2021-08-16 Jing Wu , Owen G. Ward , James Curley , Tian Zheng

The dynamics of decisions in complex networks is studied within a Markov process framework using numerical simulations combined with mathematical insight into the process mechanisms. A mathematical discrete-time model is derived based on a…

Physics and Society · Physics 2012-11-01 Carlos Rodríguez Lucatero , Luis Alarcón , Roberto Bernal Jaquez , Alexander Schaum

The dynamics of diffusion in complex networks are widely studied to understand how entities, such as information, diseases, or behaviors, spread in an interconnected environment. Complex networks often present community structure, and tools…

Physics and Society · Physics 2025-12-09 Alina Dubovskaya , Caroline B. Pena , David J. P. O'Sullivan

The community detection problem requires to cluster the nodes of a network into a small number of well-connected "communities". There has been substantial recent progress in characterizing the fundamental statistical limits of community…

In this paper we address the problem of modeling relational data, which appear in many applications such as social network analysis, recommender systems and bioinformatics. Previous studies either consider latent feature based models but…

Data Structures and Algorithms · Computer Science 2012-04-13 Sheng Gao , Ludovic Denoyer , Patrick Gallinari

Temporal point processes (TPPs) are widely used to model the timing and occurrence of events in domains such as social networks, transportation systems, and e-commerce. In this paper, we introduce TPP-LLM, a novel framework that integrates…

Machine Learning · Computer Science 2025-06-11 Zefang Liu , Yinzhu Quan

We consider a sequential decision making problem where the agent faces the environment characterized by the stochastic discrete events and seeks an optimal intervention policy such that its long-term reward is maximized. This problem exists…

Machine Learning · Computer Science 2022-12-29 Chao Qu , Xiaoyu Tan , Siqiao Xue , Xiaoming Shi , James Zhang , Hongyuan Mei

User engagement in online social networking depends critically on the level of social activity in the corresponding platform--the number of online actions, such as posts, shares or replies, taken by their users. Can we design data-driven…

Social and Information Networks · Computer Science 2018-02-21 Ali Zarezade , Abir De , Utkarsh Upadhyay , Hamid R. Rabiee , Manuel Gomez-Rodriguez

In most real-world applications, it is seldom the case that a given observable evolves independently of its environment. In social networks, users' behavior results from the people they interact with, news in their feed, or trending topics.…

Machine Learning · Computer Science 2022-02-02 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher

A common goal in network modeling is to uncover the latent community structure present among nodes. For many real-world networks, the true connections consist of events arriving as streams, which are then aggregated to form edges, ignoring…

Social and Information Networks · Computer Science 2023-10-27 Guanhua Fang , Owen G. Ward , Tian Zheng

The latent block model (LBM) is a flexible probabilistic tool to describe interactions between node sets in bipartite networks, but it does not account for interactions of time varying intensity between nodes in unknown classes. In this…

Machine Learning · Statistics 2015-06-15 Marco Corneli , Pierre Latouche , Fabrice Rossi

Temporal point processes (TPPs) are stochastic process models used to characterize event sequences occurring in continuous time. Traditional statistical TPPs have a long-standing history, with numerous models proposed and successfully…

Machine Learning · Computer Science 2025-06-30 Feng Zhou , Quyu Kong , Jie Qiao , Cheng Wan , Yixuan Zhang , Ruichu Cai

The problem of learning a computational model from examples has been receiving growing attention. For the particularly challenging problem of learning models of distributed systems, existing results are restricted to models with a fixed…

Formal Languages and Automata Theory · Computer Science 2023-12-13 Dana Fisman , Noa Izsak , Swen Jacobs