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To better understand the flows of ideas or information through social and biological systems, researchers develop maps that reveal important patterns in network flows. In practice, network flow models have implied memoryless first-order…

Social and Information Networks · Computer Science 2016-06-28 Christian Persson , Ludvig Bohlin , Daniel Edler , Martin Rosvall

Analyzing, understanding, and describing human behavior is advantageous in different settings, such as web browsing or traffic navigation. Understanding human behavior naturally helps to improve and optimize the underlying infrastructure or…

Machine Learning · Computer Science 2024-01-09 Tobias Koopmann , Jan Pfister , André Markus , Astrid Carolus , Carolin Wienrich , Andreas Hotho

Markov models have been widely used to represent and analyse user web navigation data. In previous work we have proposed a method to dynamically extend the order of a Markov chain model and a complimentary method for assessing the…

Artificial Intelligence · Computer Science 2007-05-23 Jose Borges , Mark Levene

Understanding and predicting mobility dynamics in transportation networks is critical for infrastructure planning, resilience analysis, and traffic management. Traditional graph-based models typically assume memoryless movement, limiting…

Social and Information Networks · Computer Science 2025-07-11 Chen Zhang , Jürgen Hackl

Users form information trails as they browse the web, checkin with a geolocation, rate items, or consume media. A common problem is to predict what a user might do next for the purposes of guidance, recommendation, or prefetching.…

Social and Information Networks · Computer Science 2017-04-21 Tao Wu , David Gleich

With the World Wide Web's ubiquity increase and the rapid development of various online businesses, the complexity of web sites grow. The analysis of web user's navigational pattern within a web site can provide useful information for…

Information Retrieval · Computer Science 2008-03-07 Biswajit Biswal

Higher-order networks are efficient representations of sequential data. Unlike the classic first-order network approach, they capture indirect dependencies between items composing the input sequences by the use of \textit{memory-nodes}. We…

Physics and Society · Physics 2021-09-08 Célestin Coquidé , Julie Queiros , François Queyroi

To ensure the correctness of network analysis methods, the network (as the input) has to be a sufficiently accurate representation of the underlying data. However, when representing sequential data from complex systems such as global…

Social and Information Networks · Computer Science 2016-05-24 Jian Xu , Thanuka L. Wickramarathne , Nitesh V. Chawla

Complex systems made of interacting elements are commonly abstracted as networks, in which nodes are associated with dynamic state variables, whose evolution is driven by interactions mediated by the edges. Markov processes have been the…

Physics and Society · Physics 2017-01-30 Vsevolod Salnikov , Michael T. Schaub , Renaud Lambiotte

The dynamics of human mobility characterizes the trajectories humans follow during their daily activities and is the foundation of processes from epidemic spreading to traffic prediction and information recommendation. In this paper, we…

Physics and Society · Physics 2015-06-16 Zhi-Dan Zhao , Shi-Min Cai , Yang Lu

Analysis of aggregate Web traffic has shown that PageRank is a poor model of how people actually navigate the Web. Using the empirical traffic patterns generated by a thousand users over the course of two months, we characterize the…

Human-Computer Interaction · Computer Science 2010-04-27 Bruno Goncalves , Mark R. Meiss , Jose J. Ramasco , Alessandro Flammini , Filippo Menczer

Many complex systems exhibit interactions that depend not only on pairwise connections, but also group structures and memory effects. To capture such effects, we develop a unified tensor framework for modeling higher-order Markov chains…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Shaoxuan Cui , Lingfei Wang , Hildeberto Jardon-Kojakhmetov , Karl Henrik Johansson , Ming Cao

Human navigation has been a topic of interest in spatial cognition from the past few decades. It has been experimentally observed that humans accomplish the task of way-finding a destination in an unknown environment by recognizing…

Social and Information Networks · Computer Science 2011-11-22 Vijesh M. , Sudarshan Iyengar , Vijay Mahantesh , Amitash Ramesh , Veni Madhavan

Random walks on networks is the standard tool for modelling spreading processes in social and biological systems. This first-order Markov approach is used in conventional community detection, ranking, and spreading analysis although it…

Physics and Society · Physics 2014-08-13 Martin Rosvall , Alcides V. Esquivel , Andrea Lancichinetti , Jevin D. West , Renaud Lambiotte

Recent work has attempted to characterize the structure of semantic memory and the search algorithms which, together, best approximate human patterns of search revealed in a semantic fluency task. There are a number of models that seek to…

Computation and Language · Computer Science 2017-12-01 Filip Miscevic , Aida Nematzadeh , Suzanne Stevenson

A social interaction (so-called higher-order event/interaction) can be regarded as the activation of the hyperlink among the corresponding individuals. Social interactions can be, thus, represented as higher-order temporal networks, that…

Physics and Society · Physics 2024-08-12 H. A. Bart Peters , Alberto Ceria , Huijuan Wang

To better understand the structure and function of complex systems, researchers often represent direct interactions between components in complex systems with networks, assuming that indirect influence between distant components can be…

Physics and Society · Physics 2018-06-18 Renaud Lambiotte , Martin Rosvall , Ingo Scholtes

Temporal networks are widely used models for describing the architecture of complex systems. Network memory -- that is the dependence of a temporal network's structure on its past -- has been shown to play a prominent role in diffusion,…

Physics and Society · Physics 2020-04-28 Oliver E. Williams , Lucas Lacasa , Ana P. Millán , Vito Latora

Uncovering higher-order spatiotemporal dependencies within human mobility networks offers valuable insights into the analysis of urban structures. In most existing studies, human mobility networks are typically constructed by aggregating…

Social and Information Networks · Computer Science 2024-05-08 Shuyang Shi , Ding Lyu , Lin Wang , Xiaofan Wang , Guanrong Chen

We study the problem of learning the Markov order in categorical sequences that represent paths in a network, i.e. sequences of variable lengths where transitions between states are constrained to a known graph. Such data pose challenges…

Machine Learning · Computer Science 2020-07-07 Luka V. Petrović , Ingo Scholtes
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