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Observations consisting of measurements on relationships for pairs of objects arise in many settings, such as protein interaction and gene regulatory networks, collections of author-recipient email, and social networks. Analyzing such data…

Methodology · Statistics 2010-02-22 Edoardo M Airoldi , David M Blei , Stephen E Fienberg , Eric P Xing

We present a novel Recurrent Graph Network (RGN) approach for predicting discrete marked event sequences by learning the underlying complex stochastic process. Using the framework of Point Processes, we interpret a marked discrete event…

Machine Learning · Computer Science 2022-08-12 Saurabh Dash , Xueyuan She , Saibal Mukhopadhyay

Stochastic Block Models (SBMs) are a popular approach to modeling single real-world graphs. The key idea of SBMs is to partition the vertices of the graph into blocks with similar edge densities within, as well as between different blocks.…

Social and Information Networks · Computer Science 2024-12-23 Iiro Kumpulainen , Sebastian Dalleiger , Jilles Vreeken , Nikolaj Tatti

Sociotechnological and geospatial processes exhibit time varying structure that make insight discovery challenging. To detect abnormal moments in these processes, a definition of `normal' must be established. This paper proposes a new…

Social and Information Networks · Computer Science 2017-12-15 Jace Robinson , Derek Doran

Many networks are complex dynamical systems, where both attributes of nodes and topology of the network (link structure) can change with time. We propose a model of co-evolving networks where both node at- tributes and network structure…

Social and Information Networks · Computer Science 2011-06-15 Yoon-Sik Cho , Greg Ver Steeg , Aram Galstyan

Time-stamped data are increasingly available for many social, economic, and information systems that can be represented as networks growing with time. The World Wide Web, social contact networks, and citation networks of scientific papers…

Physics and Society · Physics 2019-10-01 Matus Medo , An Zeng , Yi-Cheng Zhang , Manuel S. Mariani

Temporal networks allow representing connections between objects while incorporating the temporal dimension. While static network models can capture unchanging topological regularities, they often fail to model the effects associated with…

Machine Learning · Computer Science 2025-07-11 Mathilde Perez , Raphaël Romero , Bo Kang , Tijl De Bie , Jefrey Lijffijt , Charlotte Laclau

The stochastic block model (SBM) is a mixture model used for the clustering of nodes in networks. It has now been employed for more than a decade to analyze very different types of networks in many scientific fields such as Biology and…

Methodology · Statistics 2014-05-12 E. Côme , P. Latouche

This paper deals with non-observed dyads during the sampling of a network and consecutive issues in the inference of the Stochastic Block Model (SBM). We review sampling designs and recover Missing At Random (MAR) and Not Missing At Random…

Methodology · Statistics 2019-01-10 Timothée Tabouy , Pierre Barbillon , Julien Chiquet

We consider a sequential blocked matching (SBM) model where strategic agents repeatedly report ordinal preferences over a set of services to a central planner. The planner's goal is to elicit agents' true preferences and design a policy…

Computer Science and Game Theory · Computer Science 2022-03-24 Nicholas Bishop , Hau Chan , Debmalya Mandal , Long Tran-Thanh

Many types of pairwise interaction take the form of a fixed set of nodes with edges that appear and disappear over time. In the case of discrete-time evolution, the resulting evolving network may be represented by a time-ordered sequence of…

Social and Information Networks · Computer Science 2019-04-10 Caterina Fenu , Desmond J. Higham

We consider the two-sample testing problem for networks, where the goal is to determine whether two sets of networks originated from the same stochastic model. Assuming no vertex correspondence and allowing for different numbers of nodes,…

Statistics Theory · Mathematics 2024-06-11 Chung Kyong Nguen , Oscar Hernan Madrid Padilla , Arash A. Amini

Based on the theory of stochastic chemical kinetics, the inherent randomness and stochasticity of biochemical reaction networks can be accurately described by discrete-state continuous-time Markov chains. The analysis of such processes is,…

Numerical Analysis · Mathematics 2014-10-14 Andreychenko Alexander , Mikeev Linar , Wolf Verena

Point process is the dominant paradigm for modeling event sequences occurring at irregular intervals. In this paper we aim at modeling latent dynamics of event propagation in graph, where the event sequence propagates in a directed weighted…

Machine Learning · Computer Science 2022-11-23 Siqiao Xue , Xiaoming Shi , Hongyan Hao , Lintao Ma , Shiyu Wang , Shijun Wang , James Zhang

We introduce a queueing-based sampling framework for continuous-time temporal networks. We focus on a Markovian parametrization in which link start times follow a homogeneous Poisson process and link durations are exponentially distributed.…

Physics and Society · Physics 2026-02-23 Samuel Koovely

We consider a broad class of continuous-time two-type population size-dependent Markov Branching Processes. The offspring distribution can depend on the current (alive) and total (dead and alive) populations. Using stochastic approximation…

Probability · Mathematics 2023-04-04 Khushboo Agarwal , Veeraruna Kavitha

Spatio-temporal point process (STPP) is a stochastic collection of events accompanied with time and space. Due to computational complexities, existing solutions for STPPs compromise with conditional independence between time and space,…

Machine Learning · Computer Science 2023-06-27 Yuan Yuan , Jingtao Ding , Chenyang Shao , Depeng Jin , Yong Li

Real-world networks usually have community structure, that is, nodes are grouped into densely connected communities. Community detection is one of the most popular and best-studied research topics in network science and has attracted…

Social and Information Networks · Computer Science 2018-09-21 Yunpeng Zhao

Given a finite sequence of graphs, e.g., coming from technological, biological, and social networks, the paper proposes a methodology to identify possible changes in stationarity in the stochastic process generating the graphs. In order to…

Machine Learning · Statistics 2021-02-11 Daniele Zambon , Cesare Alippi , Lorenzo Livi

People are increasingly relying on the Web and social media to find solutions to their problems in a wide range of domains. In this online setting, closely related problems often lead to the same characteristic learning pattern, in which…

Machine Learning · Statistics 2016-10-20 Charalampos Mavroforakis , Isabel Valera , Manuel Gomez Rodriguez