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We propose a single chunk model of long-term memory that combines the basic features of the ACT-R theory and the multiple trace memory architecture. The pivot point of the developed theory is a mathematical description of the creation of…

Neurons and Cognition · Quantitative Biology 2014-02-18 Ihor Lubashevsky , Bohdan Datsko

We introduce history-dependent discrete-time quantum random walk models by adding uncorrelated memory terms and also by modifying Hamiltonian of the walker to include couplings with memory-keeping agents. We next numerically study the…

Quantum Physics · Physics 2009-07-10 J. B. Stang , A. T. Rezakhani , B. C. Sanders

In our modern society, people are daily confronted with an increasing amount of information of any kind. As a consequence, the attention capacities and processing abilities of individuals often saturate. People, therefore, have to select…

Physics and Society · Physics 2010-02-23 Mehdi Moussaid , Dirk Helbing , Guy Theraulaz

Previous work has shown that popular trending events are important external factors which pose significant influence on user search behavior and also provided a way to computationally model this influence. However, their problem formulation…

Machine Learning · Computer Science 2019-03-05 Shubhra Kanti Karmaker Santu , Liangda Li , Yi Chang , ChengXiang Zhai

The models of statistical physics used to study collective phenomena in some interdisciplinary contexts, such as social dynamics and opinion spreading, do not consider the effects of the memory on individual decision processes. On the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luca Dall'Asta , Andrea Baronchelli

The Barab\'asi's priority queuing model [A.-L. Barab\'asi, Nature \textbf{435}, 207 (2005)] and its variants have been extensively studied to understand heavy-tailed distributions of the inter-event times and the response times observed in…

Physics and Society · Physics 2021-11-16 Hang-Hyun Jo

In modern society people are being exposed to numerous information, with some of them being frequently repeated or more disruptive than others. In this paper we use a model of opinion dynamics to study how this news impact the society. In…

Physics and Society · Physics 2021-02-24 Gioia Boschi , Chiara Cammarota , Reimer Kühn

Designing recommendation systems that serve content aligned with time varying preferences requires proper accounting of the feedback effects of recommendations on human behavior and psychological condition. We argue that modeling the…

Information Retrieval · Computer Science 2022-08-09 Mihaela Curmei , Andreas Haupt , Dylan Hadfield-Menell , Benjamin Recht

Social, technological and economic time series are divided by events which are usually assumed to be random albeit with some hierarchical structure. It is well known that the interevent statistics observed in these contexts differs from the…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 J. Perello , J. Masoliver , A. Kasprzak , R. Kutner

We analyse large deviations of time-averaged quantities in stochastic processes with long-range memory, where the dynamics at time t depends itself on the value q_t of the time-averaged quantity. First we consider the elephant random walk…

Statistical Mechanics · Physics 2020-08-05 Robert L. Jack , Rosemary J. Harris

In this paper, we present a novel model to characterize individual tendencies in repeated decision-making scenarios, with the goal of designing model-based control strategies that promote virtuous choices amidst social and external…

Systems and Control · Electrical Eng. & Systems 2025-03-06 Chiara Ravazzi , Valentina Breschi , Paolo Frasca , Fabrizio Dabbene , Mara Tanelli

We are now witnessing the increasing availability of event stream data, i.e., a sequence of events with each event typically being denoted by the time it occurs and its mark information (e.g., event type). A fundamental problem is to model…

Machine Learning · Computer Science 2017-02-12 Yongqing Wang , Shenghua Liu , Huawei Shen , Xueqi Cheng

Information spread in social media depends on a number of factors, including how the site displays information, how users navigate it to find items of interest, users' tastes, and the `virality' of information, i.e., its propensity to be…

Social and Information Networks · Computer Science 2015-02-03 Jeon-Hyung Kang , Kristina Lermam

Human activities increasingly take place in online environments, providing novel opportunities for relating individual behaviours to population-level outcomes. In this paper, we introduce a simple generative model for the collective…

Physics and Society · Physics 2014-07-24 James P. Gleeson , Davide Cellai , Jukka-Pekka Onnela , Mason A. Porter , Felix Reed-Tsochas

We study a stochastic model for the diffusion of competing opinions in a population composed of three types of agents: trend-followers, opposers, and indifferent individuals. The decision dynamics are driven by reinforcement mechanisms,…

Probability · Mathematics 2025-06-24 Manuel González-Navarrete

We study a mechanism of activity sustaining on networks inspired by a well-known model of neuronal dynamics. Our primary focus is the emergence of self-sustaining collective activity patterns, where no single node can stay active by itself,…

Physics and Society · Physics 2017-12-27 A. E. Allahverdyan , G. Ver Steeg , A. Galstyan

We show that to explain the growth of the citation network by preferential attachment (PA), one has to accept that individual nodes exhibit heterogeneous fitness values that decay with time. While previous PA-based models assumed either…

Physics and Society · Physics 2011-12-05 Matus Medo , Giulio Cimini , Stanislao Gualdi

The probability distribution of number of ties of an individual in a social network follows a scale-free power-law. However, how this distribution arises has not been conclusively demonstrated in direct analyses of people's actions in…

Physics and Society · Physics 2014-08-25 Lev Muchnik , Sen Pei , Lucas C. Parra , Saulo D. S. Reis , Jose S. Andrade, , Shlomo Havlin , Hernan A. Makse

Discovering the antecedents of individuals' influence in collaborative environments is an important, practical, and challenging problem. In this paper, we study interpersonal influence in small groups of individuals who collectively execute…

Social and Information Networks · Computer Science 2025-11-05 Omid Askarisichani , Elizabeth Y. Huang , Abed K. Musaffar , Noah E. Friedkin , Francesco Bullo , Ambuj K. Singh

Various molecular interaction networks have been claimed to follow power-law decay for their global connectivity distribution. It has been proposed that there may be underlying generative models that explain this heavy-tailed behavior by…

Molecular Networks · Quantitative Biology 2010-04-20 Adrián López García de Lomana , Qasim K. Beg , G. de Fabritiis , Jordi Villà-Freixa
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