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Many astronomical phenomena, including Fast Radio Bursts and Soft Gamma Repeaters, consist of brief, separated, seemingly aperiodic events. The intervals between these events vary randomly, but there are epochs of greater activity, with…

High Energy Astrophysical Phenomena · Physics 2024-06-06 J. I. Katz

For extracting meaningful topics from texts, their structures should be considered properly. In this paper, we aim to analyze structured time-series documents such as a collection of news articles and a series of scientific papers, wherein…

Computation and Language · Computer Science 2018-05-08 Rem Hida , Naoya Takeishi , Takehisa Yairi , Koichi Hori

Temporal sequences of discrete events that describe natural and social processes are often driven by non-Poisson dynamics. In addition to a heavy-tailed interevent time distribution, which primarily captures the deviation from a Poisson…

Physics and Society · Physics 2025-12-08 Takayuki Hiraoka , Hang-Hyun Jo

We are able to unify various disparate claims and results in the literature, that stand in the way of a unified description and understanding of human conflict. First, we provide a reconciliation of the numerically different exponent values…

Physics and Society · Physics 2019-11-06 Michael Spagat , Stijn van Weezel , Minzhang Zheng , Neil F. Johnson

Some authors have recently argued that a finite-size scaling law for the text-length dependence of word-frequency distributions cannot be conceptually valid. Here we give solid quantitative evidence for the validity of such scaling law,…

Data Analysis, Statistics and Probability · Physics 2018-04-12 Alvaro Corral , Francesc Font-Clos

We introduce a new statistical tool (the TP-statistic and TE-statistic) designed specifically to compare the behavior of the sample tail of distributions with power-law and exponential tails as a function of the lower threshold u. One…

Computational Physics · Physics 2009-11-10 V. F. Pisarenko , D. Sornette

Compared with traditional news media, social media nowadays provides a richer and more timely source of news. We are interested in multi-spatial level event detection from geo-tagged tweet streams. Specifically, in this paper we (1) examine…

Social and Information Networks · Computer Science 2019-08-22 Yi Han , Shanika Karunasekera , Christopher Leckie , Aaron Harwood

The emergence of human-like abilities of AI systems for content generation in domains such as text, audio, and vision has prompted the development of classifiers to determine whether content originated from a human or a machine. Implicit in…

Artificial Intelligence · Computer Science 2023-09-19 Hayden Helm , Carey E. Priebe , Weiwei Yang

In this paper, we study two large data sets containing the information of two different human behaviors: blog-posting and wiki-revising. In both cases, the interevent time distributions decay as power-laws at both individual and population…

Physics and Society · Physics 2015-05-19 Peng Wang , Ting Lei , Chi Ho Yeung , Bing-hong Wang

We investigate the dynamics of football matches. Our goal is to characterize statistically the temporal sequence of ball movements in this collective sport game, searching for traits of complex behavior. Data were collected over a variety…

Data Analysis, Statistics and Probability · Physics 2009-11-13 R. S. Mendes , L. C. Malacarne , C. Anteneodo

The fluctuation scaling law has universally been observed in a wide variety of phenomena. For counting processes describing the number of events occurred during time intervals, it is expressed as a power function relationship between the…

Data Analysis, Statistics and Probability · Physics 2013-07-01 Shinsuke Koyama

Several populational networks present complex topologies when implemented in evolutionary algorithms. A common feature of these topologies is the emergence of a power law. Power law behavior with different scaling factors can also be…

Computation · Statistics 2022-03-08 Francisco Leonardo Bezerra Martins , José Cláudio do Nascimento

Most previous analysis of Twitter user behavior is focused on individual information cascades and the social followers graph. We instead study aggregate user behavior and the retweet graph with a focus on quantitative descriptions. We find…

Social and Information Networks · Computer Science 2015-02-17 David R. Bild , Yue Liu , Robert P. Dick , Z. Morley Mao , Dan S. Wallach

Many human-related activities show power-law decaying interevent time distribution with exponents usually varying between 1 and 2. We study a simple task-queuing model, which produces bursty time series due to the nontrivial dynamics of the…

Physics and Society · Physics 2013-10-22 Szabolcs Vajna , Bálint Tóth , János Kertész

Gradually Truncated Power law distribution - Citation of scientists Hari M. Gupta, Jose R. Campanha and Bianca A. Ferrari Unesp - Physics Dpto. - Rio Claro Sao Paulo - Brazil Abstract The number of times, a scientist is cited in other…

Statistical Mechanics · Physics 2007-05-23 Hari M. Gupta , Jose R. Campanha , Bianca A. Ferrari

In this work we study the dynamical features of editorial wars in Wikipedia (WP). Based on our previously established algorithm, we build up samples of controversial and peaceful articles and analyze the temporal characteristics of the…

Physics and Society · Physics 2023-01-05 Taha Yasseri , Robert Sumi , András Rung , András Kornai , János Kertész

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

Studies of collective human behavior in the social sciences, often grounded in details of actions by individuals, have much to offer `social' models from the physical sciences concerning elegant statistical regularities. Drawing on…

Physics and Society · Physics 2009-03-17 R. Alexander Bentley , Paul Ormerod , Michael Batty

For decades the number of scientific publications has been rapidly increasing, effectively out-dating knowledge at a tremendous rate. Only few scientific milestones remain relevant and continuously attract citations. Here we quantify how…

Motivated by the empirical observation of power-law distributions in the credits (e.g., ``likes'') of viral posts in social media, we introduce a high-dimensional tail index regression model and propose methods for estimation and inference…

Machine Learning · Statistics 2026-01-19 Yuya Sasaki , Jing Tao , Yulong Wang