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As more and more network-structured data sets are available, the statistical analysis of valued graphs has become common place. Looking for a latent structure is one of the many strategies used to better understand the behavior of a…

Applications · Statistics 2010-11-09 Mahendra Mariadassou , Stéphane Robin , Corinne Vacher

Matrix-valued time series data are frequently observed in a broad range of areas and have attracted great attention recently. In this work, we model network effects for high dimensional matrix-valued time series data in a matrix…

Methodology · Statistics 2022-12-06 Yimeng Ren , Xuening Zhu , Yanyuan Ma

Temporal Graph Neural Networks, a new and trending area of machine learning, suffers from a lack of formal analysis. In this paper, information theory is used as the primary tool to provide a framework for the analysis of temporal GNNs. For…

Information Theory · Computer Science 2024-08-13 Amirmohammad Farzaneh

Recent advances in visual analytics have enabled us to learn from user interactions and uncover analytic goals. These innovations set the foundation for actively guiding users during data exploration. Providing such guidance will become…

Human-Computer Interaction · Computer Science 2022-07-19 Shayan Monadjemi , Sunwoo Ha , Quan Nguyen , Henry Chai , Roman Garnett , Alvitta Ottley

Collective motion in animal groups, such as swarms of insects, flocks of birds, and schools of fish, are some of the most visually striking examples of emergent behavior. Empirical analysis of these behaviors in experiment or computational…

Soft Condensed Matter · Physics 2021-03-16 Kevin Schultz , Marisel Villafane-Delgado , Elizabeth P. Reilly , Grace M. Hwang , Anshu Saksena

Given a pair of multivariate time-series data of the same length and dimensions, an approach is proposed to select variables and time intervals where the two series are significantly different. In applications where one time series is an…

Methodology · Statistics 2024-12-11 Kensuke Mitsuzawa , Margherita Grossi , Stefano Bortoli , Motonobu Kanagawa

The increasing pervasiveness of object tracking technologies leads to huge volumes of spatiotemporal data collected in the form of trajectory streams. The discovery of useful group patterns from moving objects' movement behaviours in…

Databases · Computer Science 2022-08-15 Yanwei Yu , Ruoshan Lan , Lei Cao , Peng Song , Yingjie Wang

We use topological data analysis and machine learning to study a seminal model of collective motion in biology [D'Orsogna et al., Phys. Rev. Lett. 96 (2006)]. This model describes agents interacting nonlinearly via attractive-repulsive…

Modeling time-evolving preferences of users with their sequential item interactions, has attracted increasing attention in many online applications. Hence, sequential recommender systems have been developed to learn the dynamic user…

Information Retrieval · Computer Science 2022-06-07 Lianghao Xia , Chao Huang , Yong Xu , Jian Pei

People organize in groups and contagions spread across them. A simple process, but complex to model due to dynamical correlations within groups and between groups. Groups can also change as agents join and leave them to avoid infection. To…

Physics and Society · Physics 2023-07-24 Giulio Burgio , Guillaume St-Onge , Laurent Hébert-Dufresne

Functional data consist of trajectories observed over a continuous domain, such as time, space, or wavelength. Here we consider curves observed on different groups of subjects and propose a Bayesian multi-group functional factor analysis…

Methodology · Statistics 2026-04-02 Xuanye Dai , Anna Gottard , Michele Guindani , Marina Vannucci

Random intersection graphs containing an underlying community structure are a popular choice for modelling real-world networks. Given the group memberships, the classical random intersection graph is obtained by connecting individuals when…

Probability · Mathematics 2023-08-31 Marta Milewska , Remco van der Hofstad , Bert Zwart

We present the Temporal Graph Benchmark (TGB), a collection of challenging and diverse benchmark datasets for realistic, reproducible, and robust evaluation of machine learning models on temporal graphs. TGB datasets are of large scale,…

In a social group its members are caled here agents. Any two agents from the group may interact. The interaction consists of the exchange of information and it costs some energy. There exist subgroups of interacting agents which are…

Statistical Mechanics · Physics 2021-08-19 Ondrej Hudak , Jana Tothova

Temporal (or time-evolving) networks are commonly used to model complex systems and the evolution of their components throughout time. Although these networks can be analyzed by different means, visual analytics stands out as an effective…

Human-Computer Interaction · Computer Science 2022-10-06 Claudio D. G. Linhares , Jean R. Ponciano , Diogenes S. Pedro , Luis E. C. Rocha , Agma J. M. Traina , Jorge Poco

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

Optimization underpins many of the challenges that science and technology face on a daily basis. Recent years have witnessed a major shift from traditional optimization paradigms grounded on batch algorithms for medium-scale problems to…

Optimization and Control · Mathematics 2021-11-29 Andrea Simonetto , Emiliano Dall'Anese , Santiago Paternain , Geert Leus , Georgios B. Giannakis

Complex networks are used to depict topological features of complex systems. The structure of a network characterizes the interactions among elements of the system, and facilitates the study of many dynamical processes taking place on it.…

Physics and Society · Physics 2012-06-22 Yan Zhang , Lin Wang , Yi-Qing Zhang , Xiang Li

Groups - social communities are important components of entire societies, analysed by means of the social network concept. Their immanent feature is continuous evolution over time. If we know how groups in the social network has evolved we…

Social and Information Networks · Computer Science 2012-10-19 Piotr Bródka , Przemysław Kazienko , Bartosz Kołoszczyk

Demystifying the interactions among multiple agents from their past trajectories is fundamental to precise and interpretable trajectory prediction. However, previous works mainly consider static, pair-wise interactions with limited…

Machine Learning · Computer Science 2022-06-28 Chenxin Xu , Yuxi Wei , Bohan Tang , Sheng Yin , Ya Zhang , Siheng Chen
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