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Background: Zipf's discovery that word frequency distributions obey a power law established parallels between biological and physical processes, and language, laying the groundwork for a complex systems perspective on human communication.…

Computation and Language · Computer Science 2009-11-11 Eduardo G. Altmann , Janet B. Pierrehumbert , Adilson E. Motter

We report investigations on the statistical characteristics of the baby names given between 1910 and 2010 in the United States of America. For each year, the 100 most frequent names in the USA are sorted out. For these names, the…

The frequencies at which individual words occur across languages follow power law distributions, a pattern of findings known as Zipf's law. A vast literature argues over whether this serves to optimize the efficiency of human communication,…

Computation and Language · Computer Science 2020-01-16 Michael Ramscar

In this paper we combine statistical analysis of large text databases and simple stochastic models to explain the appearance of scaling laws in the statistics of word frequencies. Besides the sublinear scaling of the vocabulary size with…

Physics and Society · Physics 2014-11-05 Martin Gerlach , Eduardo G. Altmann

Zipf's law on word frequency is observed in English, French, Spanish, Italian, and so on, yet it does not hold for Chinese, Japanese or Korean characters. A model for writing process is proposed to explain the above difference, which takes…

Data Analysis, Statistics and Probability · Physics 2013-05-03 Linyuan Lu , Zi-Ke Zhang , Tao Zhou

Apparently random events in nature often reveal hidden patterns when analysed using diverse and robust statistical tools. Power-law distributions, for example, project diverse natural phenomenon, ranging from earthquakes1 to heartbeat…

Keywords in scientific articles have found their significance in information filtering and classification. In this article, we empirically investigated statistical characteristics and evolutionary properties of keywords in a very famous…

Data Analysis, Statistics and Probability · Physics 2009-06-23 Zike Zhang , Linyuan Lv , Jian-Guo Liu , Tao Zhou

According to many phenomenological and theoretical studies the distribution of family name frequencies in a population can be asymptotically described by a power law. We show that the Galton-Watson process corresponding to the dynamics of a…

Physics and Society · Physics 2009-07-19 Andrea De Luca , Paolo Rossi

The dependence with text length of the statistical properties of word occurrences has long been considered a severe limitation quantitative linguistics. We propose a simple scaling form for the distribution of absolute word frequencies…

Physics and Society · Physics 2015-06-15 Francesc Font-Clos , Gemma Boleda , Álvaro Corral

To uncover underlying mechanism of collective human dynamics, we survey more than 1.8 billion blog entries and observe the statistical properties of word appearances. We focus on words that show dynamic growth and decay with a tendency to…

Physics and Society · Physics 2015-03-19 Yukie Sano , Kenta Yamada , Hayafumi Watanabe , Hideki Takayasu , Misako Takayasu

Zipf's law is well known in linguistics: the frequency of a word is inversely proportional to its rank. This is a special case of a more general power law, a common phenomenon in many kinds of real-world statistical data. Here, it is shown…

Physics and Society · Physics 2022-10-28 Wim Hordijk

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

We study the frequency distribution of family names. From a common data base, we count the number of people who share the same family name. This is the size of the family. We find that (i) the total number of different family names in a…

Statistical Mechanics · Physics 2009-10-31 Sasuke Miyazima , Youngki Lee , Tomomasa Nagamine , Hiroaki Miyajima

The time variation of the rank $k$ of words for six Indo-European languages is obtained using data from Google Books. For low ranks the distinct languages behave differently, maybe due to syntaxis rules, whereas for $k>50$ the law of large…

Physics and Society · Physics 2026-02-04 Germinal Cocho , R. F. Rodríguez , Sergio Sánchez , Jorge Flores , Carlos Pineda , Carlos Gershenson

What dynamics govern a time series representing the appearance of words in social media data? In this paper, we investigate an elementary dynamics, from which word-dependent special effects are segregated, such as breaking news, increasing…

Physics and Society · Physics 2017-07-31 Hayafumi Watanabe

History-dependent processes are ubiquitous in natural and social systems. Many such stochastic processes, especially those that are associated with complex systems, become more constrained as they unfold, meaning that their sample-space, or…

Physics and Society · Physics 2015-04-16 Bernat Corominas-Murtra , Rudolf Hanel , Stefan Thurner

Recent studies have investigated siamese network architectures for learning invariant speech representations using same-different side information at the word level. Here we investigate systematically an often ignored component of siamese…

Computation and Language · Computer Science 2018-08-24 Rachid Riad , Corentin Dancette , Julien Karadayi , Neil Zeghidour , Thomas Schatz , Emmanuel Dupoux

An important body of quantitative linguistics is constituted by a series of statistical laws about language usage. Despite the importance of these linguistic laws, some of them are poorly formulated, and, more importantly, there is no…

Physics and Society · Physics 2020-11-09 Alvaro Corral , Isabel Serra

In this paper we quantify the statistical properties and dynamics of the frequency of hashtag use on Twitter. Hashtags are special words used in social media to attract attention and to organize content. Looking at the collection of all…

Physics and Society · Physics 2020-06-04 Hongjia H. Chen , Tristram J. Alexander , Diego F. M. Oliveira , Eduardo G. Altmann

Causal processes can give rise to distinctive distributions in the linguistic variables that they affect. Consequently, a secure understanding of a variable's distribution can hold a key to understanding the forces that have causally shaped…

Computation and Language · Computer Science 2021-01-01 Jayden L. Macklin-Cordes , Erich R. Round
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