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In Shannon's seminal paper, entropy of printed English, treated as a stationary stochastic process, was estimated to be roughly 1 bit per character. However, considered as a means of communication, language differs considerably from its…

Computation and Language · Computer Science 2025-08-13 Doron Sivan , Misha Tsodyks

Beyond the local constraints imposed by grammar, words concatenated in long sequences carrying a complex message show statistical regularities that may reflect their linguistic role in the message. In this paper, we perform a systematic…

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

The average uncertainty associated with words is an information-theoretic concept at the heart of quantitative and computational linguistics. The entropy has been established as a measure of this average uncertainty - also called average…

Computation and Language · Computer Science 2016-06-23 Christian Bentz , Dimitrios Alikaniotis

As is the case of many signals produced by complex systems, language presents a statistical structure that is balanced between order and disorder. Here we review and extend recent results from quantitative characterisations of the degree of…

Computation and Language · Computer Science 2015-03-05 Marcelo A Montemurro , Damián H Zanette

Human language has a distinct systematic structure, where utterances break into individually meaningful words which are combined to form phrases. We show that natural-language-like systematicity arises in codes that are constrained by a…

Computation and Language · Computer Science 2025-11-19 Richard Futrell , Michael Hahn

It has been shown in a recent publication that words in human-produced English language tend to have an information content close to the conditional entropy. In this paper, we show that the same is true for events in human-produced…

Sound · Computer Science 2022-11-24 Mathias Rose Bjare , Stefan Lattner

We investigate correlations in information carriers, e.g. texts and pieces of music, which are represented by strings of letters. For information carrying strings generated by one source (i.e. a novel or a piece of music) we find…

Statistical Mechanics · Physics 2007-05-23 Werner Ebeling , Thorsten Poeschel , Karl-Friedrich Albrecht

Sentences are important semantic units of natural language. A generic, distributional representation of sentences that can capture the latent semantics is beneficial to multiple downstream applications. We observe a simple geometry of…

Computation and Language · Computer Science 2017-04-19 Jiaqi Mu , Suma Bhat , Pramod Viswanath

Shannon entropy is often a quantity of interest to linguists studying the communicative capacity of human language. However, entropy must typically be estimated from observed data because researchers do not have access to the underlying…

Computation and Language · Computer Science 2022-04-06 Aryaman Arora , Clara Meister , Ryan Cotterell

The syntactic structure of a sentence can be represented as a graph, where vertices are words and edges indicate syntactic dependencies between them. In this setting, the distance between two linked words is defined as the difference…

Computation and Language · Computer Science 2025-08-12 Sonia Petrini , Ramon Ferrer-i-Cancho

Distributional semantic models provide vector representations for words by gathering co-occurrence frequencies from corpora of text. Compositional distributional models extend these from words to phrases and sentences. In categorical…

Computation and Language · Computer Science 2018-10-10 Esma Balkir , Dimitri Kartsaklis , Mehrnoosh Sadrzadeh

We present evidence that the word entropy of American English has been rising steadily since around 1900, contrary to predictions from existing sociolinguistic theories. We also find differences in word entropy between media categories,…

General Economics · Economics 2023-04-20 Charlie Pilgrim , Weisi Guo , Thomas T. Hills

This study is a preliminary exploration of the concept of informativeness -how much information a sentence gives about a word it contains- and its potential benefits to building quality word representations from scarce data. We propose…

Computation and Language · Computer Science 2019-07-23 Syrielle Montariol , Aina Garí Soler , Alexandre Allauzen

Informational bias is bias conveyed through sentences or clauses that provide tangential, speculative or background information that can sway readers' opinions towards entities. By nature, informational bias is context-dependent, but…

Computation and Language · Computer Science 2020-12-04 Esther van den Berg , Katja Markert

Sentence embeddings from transformer models encode in a fixed length vector much linguistic information. We explore the hypothesis that these embeddings consist of overlapping layers of information that can be separated, and on which…

Computation and Language · Computer Science 2024-07-03 Vivi Nastase , Paola Merlo

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

Systematic generalization remains challenging for current language models, which are known to be both sensitive to semantically similar permutations of the input and to struggle with known concepts presented in novel contexts. Although…

Computation and Language · Computer Science 2025-05-28 Sondre Wold , Lucas Georges Gabriel Charpentier , Étienne Simon

The Uniform Information Density (UID) hypothesis posits that speakers tend to distribute information evenly across linguistic units to achieve efficient communication. Of course, information rate in texts and discourses is not perfectly…

Computation and Language · Computer Science 2024-10-22 Eleftheria Tsipidi , Franz Nowak , Ryan Cotterell , Ethan Wilcox , Mario Giulianelli , Alex Warstadt

Analyses of transformer-based models have shown that they encode a variety of linguistic information from their textual input. While these analyses have shed a light on the relation between linguistic information on one side, and internal…

Computation and Language · Computer Science 2024-07-26 Vivi Nastase , Paola Merlo

The entropy rate of printed English is famously estimated to be about one bit per character, a benchmark that modern large language models (LLMs) have only recently approached. This entropy rate implies that English contains nearly 80…

Computation and Language · Computer Science 2026-02-19 Weishun Zhong , Doron Sivan , Tankut Can , Mikhail Katkov , Misha Tsodyks
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