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Hilberg's conjecture about natural language states that the mutual information between two adjacent long blocks of text grows like a power of the block length. The exponent in this statement can be upper bounded using the pointwise mutual…

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

The aim of this paper is to present an alternative formulation of the attention scoring function in translation tasks. Generally speaking, language is deeply structured, and this is reflected in the attention scoring matrix. We exploit this…

Computation and Language · Computer Science 2024-09-04 Eddie Conti

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

Long-range correlations are found in symbolic sequences from human language, music and DNA. Determining the span of correlations in dolphin whistle sequences is crucial for shedding light on their communicative complexity. Dolphin whistles…

Neurons and Cognition · Quantitative Biology 2014-12-03 Ramon Ferrer-i-Cancho , Brenda McCowan

With Zipf's law being originally and most famously observed for word frequency, it is surprisingly limited in its applicability to human language, holding over no more than three to four orders of magnitude before hitting a clear break in…

Computation and Language · Computer Science 2015-03-05 Jake Ryland Williams , Paul R. Lessard , Suma Desu , Eric Clark , James P. Bagrow , Christopher M. Danforth , Peter Sheridan Dodds

Languages vary considerably in syntactic structure. About 40% of the world's languages have subject-verb-object order, and about 40% have subject-object-verb order. Extensive work has sought to explain this word order variation across…

Computation and Language · Computer Science 2022-06-10 Michael Hahn , Yang Xu

A longstanding debate in semiotics centers on the relationship between linguistic signs and their corresponding semantics: is there an arbitrary relationship between a word form and its meaning, or does some systematic phenomenon pervade?…

Computation and Language · Computer Science 2019-07-30 Tiago Pimentel , Arya D. McCarthy , Damián E. Blasi , Brian Roark , Ryan Cotterell

Understanding the impact of digital platforms on user behavior presents foundational challenges, including issues related to polarization, misinformation dynamics, and variation in news consumption. Comparative analyses across platforms and…

Quoted speech is often set off by punctuation marks, in particular quotation marks. Thus, it might seem that the quotation marks would be extremely useful in identifying these structures in texts. Unfortunately, the situation is not quite…

cmp-lg · Computer Science 2008-02-03 Christine Doran

The distribution of word probabilities in the monkey model of Zipf's law is associated with two universality properties: (1) the power law exponent converges strongly to $-1$ as the alphabet size increases and the letter probabilities are…

Probability · Mathematics 2016-04-20 Richard Perline , Ronald Perline

Statistical regularities in human language have fascinated researchers for decades, suggesting deep underlying principles governing its evolution and information structuring for efficient communication. While Zipf's Law describes the…

Physics and Society · Physics 2025-04-29 Alessandro Bellina , Vito D. P. Servedio

The shuffle product \(u\shuffle v\) of two words \(u\) and \(v\) is the set of all words which can be obtained by interleaving \(u\) and \(v\). Motivated by the paper \emph{The Shuffle Product: New Research Directions} by Restivo (2015) we…

Combinatorics · Mathematics 2022-03-03 Pamela Fleischmann , Tero Harju , Lukas Haschke , Jonas Höfer , Dirk Nowotka

Most natural languages have a predominant or fixed word order. For example in English the word order is usually Subject-Verb-Object. This work attempts to explain this phenomenon as well as other typological findings regarding word order…

Computation and Language · Computer Science 2021-09-02 Idan Rejwan , Avi Caciularu

Natural languages are full of rules and exceptions. One of the most famous quantitative rules is Zipf's law which states that the frequency of occurrence of a word is approximately inversely proportional to its rank. Though this `law' of…

Computation and Language · Computer Science 2015-05-27 Jake Ryland Williams , James P. Bagrow , Christopher M. Danforth , Peter Sheridan Dodds

Treebanks traditionally treat punctuation marks as ordinary words, but linguists have suggested that a tree's "true" punctuation marks are not observed (Nunberg, 1990). These latent "underlying" marks serve to delimit or separate…

Computation and Language · Computer Science 2019-06-28 Xiang Lisa Li , Dingquan Wang , Jason Eisner

Rhetoric, both spoken and written, involves not only content but also style. One common stylistic tool is $\textit{parallelism}$: the juxtaposition of phrases which have the same sequence of linguistic ($\textit{e.g.}$, phonological,…

Computation and Language · Computer Science 2023-12-04 Stephen Bothwell , Justin DeBenedetto , Theresa Crnkovich , Hildegund Müller , David Chiang

A pattern $\alpha$ is a string of variables and terminal letters. We say that $\alpha$ matches a word $w$, consisting only of terminal letters, if $w$ can be obtained by replacing the variables of $\alpha$ by terminal words. The matching…

Data Structures and Algorithms · Computer Science 2021-06-14 Paweł Gawrychowski , Florin Manea , Stefan Siemer

Recent observations in the theory of verse and empirical metrics have suggested that constructing a verse line involves a pattern-matching search through a source text, and that the number of found elements (complete words totaling a…

cmp-lg · Computer Science 2007-05-23 Hideaki Aoyama , John Constable

Most languages use the relative order between words to encode meaning relations. Languages differ, however, in what orders they use and how these orders are mapped onto different meanings. We test the hypothesis that, despite these…

Computation and Language · Computer Science 2015-10-13 Daniel Gildea , T. Florian Jaeger

We propose a new computational approach for tracking and detecting statistically significant linguistic shifts in the meaning and usage of words. Such linguistic shifts are especially prevalent on the Internet, where the rapid exchange of…

Computation and Language · Computer Science 2014-11-13 Vivek Kulkarni , Rami Al-Rfou , Bryan Perozzi , Steven Skiena
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