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The formation of sentences is a highly structured and history-dependent process. The probability of using a specific word in a sentence strongly depends on the 'history' of word-usage earlier in that sentence. We study a simple…

Physics and Society · Physics 2015-05-28 Stefan Thurner , Rudolf Hanel , Bo Liu , Bernat Corominas-Murtra

In his pioneering research, G. K. Zipf formulated a couple of statistical laws on the relationship between the frequency of a word with its number of meanings: the law of meaning distribution, relating the frequency of a word and its…

Computation and Language · Computer Science 2022-01-19 Neus Català , Jaume Baixeries , Ramon Ferrer-Cancho , Lluís Padró , Antoni Hernández-Fernández

We show that the frequency of word use is not only determined by the word length \cite{Zipf1935} and the average information content \cite{Piantadosi2011}, but also by its emotional content. We have analyzed three established lexica of…

Computation and Language · Computer Science 2012-05-29 David Garcia , Antonios Garas , Frank Schweitzer

Human languages vary widely in how they encode information within circumscribed semantic domains (e.g., time, space, color, human body parts and activities), but little is known about the global structure of semantic information and nothing…

Computation and Language · Computer Science 2024-02-19 Pedro Aceves , James A. Evans

Based on data from a large-scale experiment with human subjects, we conclude that the logarithm of probability to guess a word in context (unpredictability) depends linearly on the word length. This result holds both for poetry and prose,…

Information Theory · Computer Science 2007-07-16 Dmitrii Manin

We investigate the origin of Zipf's law for words in written texts by means of a stochastic dynamical model for text generation. The model incorporates both features related to the general structure of languages and memory effects inherent…

Statistical Mechanics · Physics 2007-05-23 Damián H. Zanette , Marcelo A. Montemurro

The Zipf's law is the major regularity of statistical linguistics that served as a prototype for rank-frequency relations and scaling laws in natural sciences. Here we show that the Zipf's law -- together with its applicability for a single…

Data Analysis, Statistics and Probability · Physics 2015-06-15 Armen E. Allahverdyan , Weibing Deng , Q. A. Wang

The task of finding a criterion allowing to distinguish a text from an arbitrary set of words is rather relevant in itself, for instance, in the aspect of development of means for internet-content indexing or separating signals and noise in…

Computation and Language · Computer Science 2007-10-02 D. V. Lande , A. A. Snarskii

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

Despite being a paradigm of quantitative linguistics, Zipf's law for words suffers from three main problems: its formulation is ambiguous, its validity has not been tested rigorously from a statistical point of view, and it has not been…

Applications · Statistics 2016-02-17 Isabel Moreno-Sánchez , Francesc Font-Clos , Álvaro Corral

The dependence of the frequency distributions due to multiple meanings of words in a text is investigated by deleting letters. By coding the words with fewer letters the number of meanings per coded word increases. This increase is measured…

Computation and Language · Computer Science 2017-10-04 Xiaoyong Yan , Petter Minnhagen

One of the ultimate goals for linguists is to find universal properties in human languages. Although words are generally considered as representing arbitrary mapping between linguistic forms and meanings, we propose a new universal law that…

Computation and Language · Computer Science 2020-05-06 Li-Min Wang , Sun-Ting Tsai , Shan-Jyun Wu , Meng-Xue Tsai , Daw-Wei Wang , Yi-Ching Su , Tzay-Ming Hong

A theoretical framework is proposed for the understanding of verbal perception -- the conversion of words into meaning, modeled as a compromise between lexical demands and contextual constraints -- and the theory is tested against…

Neurons and Cognition · Quantitative Biology 2016-09-19 Francesco Fumarola

Trustfulness -- one's general tendency to have confidence in unknown people or situations -- predicts many important real-world outcomes such as mental health and likelihood to cooperate with others such as clinicians. While data-driven…

Computation and Language · Computer Science 2019-04-17 Mohammadzaman Zamani , Anneke Buffone , H. Andrew Schwartz

Zipf's law predicts a power-law relationship between word rank and frequency in language communication systems and has been widely reported in a variety of natural language processing applications. However, the emergence of natural language…

Computation and Language · Computer Science 2018-12-05 Bohdan Khomtchouk , Shyam Sudhakaran

We analyze the occurrence frequencies of over 15 million words recorded in millions of books published during the past two centuries in seven different languages. For all languages and chronological subsets of the data we confirm that two…

Physics and Society · Physics 2012-12-12 Alexander M. Petersen , Joel N. Tenenbaum , Shlomo Havlin , H. Eugene Stanley , Matjaz Perc

Spoken word recognition involves at least two basic computations. First is matching acoustic input to phonological categories (e.g. /b/, /p/, /d/). Second is activating words consistent with those phonological categories. Here we test the…

Computation and Language · Computer Science 2017-11-21 Laura Gwilliams , David Poeppel , Alec Marantz , Tal Linzen

Today's probabilistic language generators fall short when it comes to producing coherent and fluent text despite the fact that the underlying models perform well under standard metrics, e.g., perplexity. This discrepancy has puzzled the…

Computation and Language · Computer Science 2025-06-06 Clara Meister , Tiago Pimentel , Gian Wiher , Ryan Cotterell

We show how generalized Gibbs-Shannon entropies can provide new insights on the statistical properties of texts. The universal distribution of word frequencies (Zipf's law) implies that the generalized entropies, computed at the word level,…

Physics and Society · Physics 2017-02-15 Eduardo G. Altmann , Laercio Dias , Martin Gerlach

How predictable a word is can be quantified in two ways: using human responses to the cloze task or using probabilities from language models (LMs).When used as predictors of processing effort, LM probabilities outperform probabilities…

Computation and Language · Computer Science 2026-05-27 Sathvik Nair , Byung-Doh Oh