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Zipf's law is just one out of many universal laws proposed to describe statistical regularities in language. Here we review and critically discuss how these laws can be statistically interpreted, fitted, and tested (falsified). The modern…

Physics and Society · Physics 2016-05-27 Eduardo G. Altmann , Martin Gerlach

Words are fundamental linguistic units that connect thoughts and things through meaning. However, words do not appear independently in a text sequence. The existence of syntactic rules induces correlations among neighboring words. Using an…

Computation and Language · Computer Science 2023-03-15 David Sanchez , Luciano Zunino , Juan De Gregorio , Raul Toral , Claudio Mirasso

The task of text segmentation may be undertaken at many levels in text analysis---paragraphs, sentences, words, or even letters. Here, we focus on a relatively fine scale of segmentation, hypothesizing it to be in accord with a stochastic…

We present the new empirical parameter $f_c$, the most probable usage frequency of a word in a language, computed via the distribution of documents over frequency $x$ of the word. This parameter allows for filtering the core lexicon of a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dmitri Volchenkov , Philippe Blanchard , Serge Sharoff

A key aim in biology and psychology is to identify fundamental principles underpinning the behavior of animals, including humans. Analyses of human language and the behavior of a range of non-human animal species have provided evidence for…

Neurons and Cognition · Quantitative Biology 2014-12-03 R. Ferrer-i-Cancho , A. Hernández-Fernández , D. Lusseau , G. Agoramoorthy , M. J. Hsu , S. Semple

This paper argues that the relationship between lexical identity and prosody -- one well-studied parameter of linguistic variation -- can be characterized using information theory. We predict that languages that use prosody to make lexical…

Computation and Language · Computer Science 2025-06-03 Ethan Gotlieb Wilcox , Cui Ding , Giovanni Acampa , Tiago Pimentel , Alex Warstadt , Tamar I. Regev

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

Sentence formation is a highly structured, history-dependent, and sample-space reducing (SSR) process. While the first word in a sentence can be chosen from the entire vocabulary, typically, the freedom of choosing subsequent words gets…

Computation and Language · Computer Science 2018-12-31 Rudolf Hanel , Stefan Thurner

Construct recursively a long string of words w1. .. wn, such that at each step k, w k+1 is a new word with a fixed probability p $\in$ (0, 1), and repeats some preceding word with complementary probability 1 -- p. More precisely, given a…

Probability · Mathematics 2019-06-26 Jean Bertoin

A topological argument is presented concering the structure of semantic space, based on the negative correlation between polysemy and word length. The resulting graph structure is applied to the modeling of free-recall experiments,…

Neurons and Cognition · Quantitative Biology 2016-11-16 Francesco Fumarola

We present methods for calculating a measure of phonotactic complexity---bits per phoneme---that permits a straightforward cross-linguistic comparison. When given a word, represented as a sequence of phonemic segments such as symbols in the…

Computation and Language · Computer Science 2020-05-11 Tiago Pimentel , Brian Roark , Ryan Cotterell

Language change is a cultural evolutionary process in which variants of linguistic variables change in frequency through processes analogous to mutation, selection and genetic drift. In this work, we apply a recently-introduced method to…

Computation and Language · Computer Science 2023-08-22 Juan Guerrero Montero , Andres Karjus , Kenny Smith , Richard A. Blythe

Prosody -- the suprasegmental component of speech, including pitch, loudness, and tempo -- carries critical aspects of meaning. However, the relationship between the information conveyed by prosody vs. by the words themselves remains poorly…

Computation and Language · Computer Science 2023-11-30 Lukas Wolf , Tiago Pimentel , Evelina Fedorenko , Ryan Cotterell , Alex Warstadt , Ethan Wilcox , Tamar Regev

A two-parameter model of word length measured by the number of syllables comprising it is proposed. The first parameter is dependent on language type, the second one - on text genre and reflects the degree of completion of synergetic…

Computation and Language · Computer Science 2007-05-23 Victor Kromer

Divergent word usages reflect differences among people. In this paper, we present a novel angle for studying word usage divergence -- word interpretations. We propose an approach that quantifies semantic differences in interpretations among…

Computation and Language · Computer Science 2017-03-30 Tianran Hu , Ruihua Song , Maya Abtahian , Philip Ding , Xing Xie , Jiebo Luo

Human speech perception involves transforming a countinous acoustic signal into discrete linguistically meaningful units, such as phonemes, while simultaneously causing a listener to activate words that are similar to the spoken utterance…

Neurons and Cognition · Quantitative Biology 2018-08-01 Kevin S. Brown , Paul D. Allopenna , William R. Hunt , Rachael Steiner , Elliot Saltzman , Ken McRae , James S. Magnuson

Zipf's law is a paradigm describing the importance of different elements in communication systems, especially in linguistics. Despite the complexity of the hierarchical structure of language, music has in some sense an even more complex…

Physics and Society · Physics 2023-11-20 Marc Serra-Peralta , Joan Serrà , Álvaro Corral

Using human evaluation of 100,000 words spread across 24 corpora in 10 languages diverse in origin and culture, we present evidence of a deep imprint of human sociality in language, observing that (1) the words of natural human language…

We review recent progress in understanding the meaning of mutual information in natural language. Let us define words in a text as strings that occur sufficiently often. In a few previous papers, we have shown that a power-law distribution…

Information Theory · Computer Science 2020-03-11 Łukasz Dębowski

Over the last million years, human language has emerged and evolved as a fundamental instrument of social communication and semiotic representation. People use language in part to convey emotional information, leading to the central and…