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Here we describe how some important scaling laws observed in the distribution of languages on Earth can emerge from a simple computer simulation. The proposed language dynamics includes processes of selective geographic colonization,…

Physics and Society · Physics 2009-11-11 Viviane M. de Oliveira , M. A. F. Gomes , I. R. Tsang

Zipf's law is the main regularity of quantitative linguistics. Despite of many works devoted to foundations of this law, it is still unclear whether it is only a statistical regularity, or it has deeper relations with information-carrying…

Computation and Language · Computer Science 2018-09-25 Weibing Deng , Armen E. Allahverdyan

Traditionally, the formation of vocabularies has been studied by agent-based models (specially, the Naming Game) in which random pairs of agents negotiate word-meaning associations at each discrete time step. This paper proposes a first…

Computation and Language · Computer Science 2016-04-08 Javier Vera

The word-frequency distribution provides the fundamental building blocks that generate discourse in language. It is well known, from empirical evidence, that the word-frequency distribution of almost any text is described by Zipf's law, at…

Physics and Society · Physics 2020-11-09 Alvaro Corral , Montserrat Garcia del Muro

Zipf's law seems to be ubiquitous in human languages and appears to be a universal property of complex communicating systems. Following the early proposal made by Zipf concerning the presence of a tension between the efforts of speaker and…

Adaptation and Self-Organizing Systems · Physics 2015-05-19 Bernat Corominas-Murtra , Jordi Fortuny , Ricard V. Solé

Recent works have highlighted optimization difficulties faced by gradient descent in training the first and last layers of transformer-based language models, which are overcome by optimizers such as Adam. These works suggest that the…

Machine Learning · Computer Science 2025-05-27 Frederik Kunstner , Francis Bach

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

Human languages evolve continuously, and a puzzling problem is how to reconcile the apparent robustness of most of the deep linguistic structures we use with the evidence that they undergo possibly slow, yet ceaseless, changes. Is the state…

Physics and Society · Physics 2011-02-28 Animesh Mukherjee , Francesca Tria , Andrea Baronchelli , Andrea Puglisi , Vittorio Loreto

Zipf's law is a fundamental paradigm in the statistics of written and spoken natural language as well as in other communication systems. We raise the question of the elementary units for which Zipf's law should hold in the most natural way,…

Physics and Society · Physics 2015-07-14 Alvaro Corral , Gemma Boleda , Ramon Ferrer-i-Cancho

The review summarizes the main methodological concepts used in studying natural language from the perspective of complexity science and documents their applicability in identifying both universal and system-specific features of language in…

Physics and Society · Physics 2024-01-09 Tomasz Stanisz , Stanisław Drożdż , Jarosław Kwapień

The iterated learning model simulates the transmission of language from generation to generation in order to explore how the constraints imposed by language transmission facilitate the emergence of language structure. Despite each modelled…

Computation and Language · Computer Science 2026-01-07 Hyoyeon Lee , Seth Bullock , Conor Houghton

Recent advances in Large Language Models (LLMs) have demonstrated the emergence of capabilities (learned skills) when the number of system parameters and the size of training data surpass certain thresholds. The exact mechanisms behind such…

Computation and Language · Computer Science 2025-07-17 Kuo-Yu Liao , Cheng-Shang Chang , Y. -W. Peter Hong

We propose a model of the speech perception of individual words in the presence of mishearings. This phenomenological approach is based on concepts used in linguistics, and provides a formalism that is universal across languages. We put…

Computation and Language · Computer Science 2020-10-19 Anita Mehta , Jean-Marc Luck

We investigate inflection structure of a synthetic language using Latin as an example. We construct a bipartite graph in which one group of vertices correspond to dictionary headwords and the other group to inflected forms encountered in a…

Computation and Language · Computer Science 2023-12-18 Henryk Fukś

Natural languages have been argued to evolve under pressure to efficiently compress meanings into words by optimizing the Information Bottleneck (IB) complexity-accuracy tradeoff. However, the underlying social dynamics that could drive the…

Computation and Language · Computer Science 2026-03-18 Nathaniel Imel , Richard Futrell , Michael Franke , Noga Zaslavsky

Learning to communicate through interaction, rather than relying on explicit supervision, is often considered a prerequisite for developing a general AI. We study a setting where two agents engage in playing a referential game and, from…

Machine Learning · Computer Science 2017-11-07 Serhii Havrylov , Ivan Titov

Present human languages display slightly asymmetric log-normal (Gauss) distribution for size [1-3], whereas present cities follow power law (Pareto-Zipf law)[4]. Our model considers the competition between languages and that between cities…

Computational Physics · Physics 2007-05-23 Caglar Tuncay

We conduct a series of experiments designed to empirically demonstrate the effects of varying the structural features of a multi-agent emergent communication game framework. Specifically, we model the interactions (edges) between individual…

Artificial Intelligence · Computer Science 2020-08-04 Nicole Fitzgerald , Jacopo Tagliabue

Zipf's law states that if words of language are ranked in the order of decreasing frequency in texts, the frequency of a word is inversely proportional to its rank. It is very robust as an experimental observation, but to date it escaped…

Computation and Language · Computer Science 2009-01-22 Dmitrii Manin

Language can be described as a network of interacting objects with different qualitative properties and complexity. These networks include semantic, syntactic, or phonological levels and have been found to provide a new picture of language…

Physics and Society · Physics 2018-03-07 Luís F Seoane , Ricard Solé