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Zipf's law in language lacks a definitive origin, debated across fields. This study explains Zipf-like behavior using geometric mechanisms without linguistic elements. The Full Combinatorial Word Model (FCWM) forms words from a finite…

Methodology · Statistics 2025-11-27 Vladimir Berman

Statistical properties of the taxonomic classification of human languages are studied. It is shown that, at the highest levels of the taxonomic hierarchy, the frequency of taxon members as a function of the number of languages belonging to…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Damian H. Zanette

Modern neural networks (NNs), trained on extensive raw sentence data, construct distributed representations by compressing individual words into dense, continuous, high-dimensional vectors. These representations are expected to capture…

Computation and Language · Computer Science 2024-12-04 Zhu Liu

Systems as diverse as genetic networks or the world wide web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution. This…

Disordered Systems and Neural Networks · Physics 2015-06-25 Albert-Laszlo Barabasi , Reka Albert

Among the several findings deriving from the application of complex network formalism to the investigation of natural phenomena, the fact that linguistic constructions follow power laws presents special interest for its potential…

Disordered Systems and Neural Networks · Physics 2009-11-10 Luciano da Fontoura Costa

As NLP tools become ubiquitous in today's technological landscape, they are increasingly applied to languages with a variety of typological structures. However, NLP research does not focus primarily on typological differences in its…

Computation and Language · Computer Science 2020-05-04 Sophie Groenwold , Samhita Honnavalli , Lily Ou , Aesha Parekh , Sharon Levy , Diba Mirza , William Yang Wang

This work lists and describes the main recent strategies for building fixed-length, dense and distributed representations for words, based on the distributional hypothesis. These representations are now commonly called word embeddings and,…

Computation and Language · Computer Science 2023-05-03 Felipe Almeida , Geraldo Xexéo

Languages are shaped by the inductive biases of their users. Using a classical referential game, we investigate how artificial languages evolve when optimised for inductive biases in humans and large language models (LLMs) via Human-Human,…

Computation and Language · Computer Science 2025-05-29 Tom Kouwenhoven , Max Peeperkorn , Roy de Kleijn , Tessa Verhoef

Zipf's law of abbreviation, namely the tendency of more frequent words to be shorter, has been viewed as a manifestation of compression, i.e. the minimization of the length of forms -- a universal principle of natural communication.…

Computation and Language · Computer Science 2026-03-31 Sonia Petrini , Antoni Casas-i-Muñoz , Jordi Cluet-i-Martinell , Mengxue Wang , Christian Bentz , Ramon Ferrer-i-Cancho

We report about universality of rank-integration distributions of open spaces in city space syntax similar to the famous rank-size distributions of cities (Zipf's law). We also demonstrate that the degree of choice an open space represents…

Physics and Society · Physics 2009-11-13 D. Volchenkov , Ph. Blanchard

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

In this study, we investigate whether speech symbols, learned through deep learning, follow Zipf's law, akin to natural language symbols. Zipf's law is an empirical law that delineates the frequency distribution of words, forming…

Computation and Language · Computer Science 2023-09-19 Shinnosuke Takamichi , Hiroki Maeda , Joonyong Park , Daisuke Saito , Hiroshi Saruwatari

Hierarchies are the hidden backbones of complex systems and their analysis allows for a deeper understanding of their structure and how they evolve. We consider languages also to be complex adaptive systems with several intricate networks…

Computation and Language · Computer Science 2023-07-18 Babak Ravandi , Valentina Concu

We propose a new self-organizing hierarchical softmax formulation for neural-network-based language models over large vocabularies. Instead of using a predefined hierarchical structure, our approach is capable of learning word clusters with…

Computation and Language · Computer Science 2017-07-29 Yikang Shen , Shawn Tan , Chrisopher Pal , Aaron Courville

A compactified horizontal visibility graph for the language network is proposed. It was found that the networks constructed in such way are scale free, and have a property that among the nodes with largest degrees there are words that…

Computation and Language · Computer Science 2013-02-20 D. V. Lande , A. A. Snarskii

Language exhibits structure at different scales, ranging from subwords to words, sentences, paragraphs, and documents. To what extent do deep models capture information at these scales, and can we force them to better capture structure…

Computation and Language · Computer Science 2020-11-11 Alex Tamkin , Dan Jurafsky , Noah Goodman

Word segmentation is a low-level NLP task that is non-trivial for a considerable number of languages. In this paper, we present a sequence tagging framework and apply it to word segmentation for a wide range of languages with different…

Computation and Language · Computer Science 2018-07-10 Yan Shao , Christian Hardmeier , Joakim Nivre

The mapping of lexical meanings to wordforms is a major feature of natural languages. While usage pressures might assign short words to frequent meanings (Zipf's law of abbreviation), the need for a productive and open-ended vocabulary,…

Computation and Language · Computer Science 2021-05-04 Tiago Pimentel , Irene Nikkarinen , Kyle Mahowald , Ryan Cotterell , Damián Blasi

Social network structure is one of the key determinants of human language evolution. Previous work has shown that the network of social interactions shapes decentralized learning in human groups, leading to the emergence of different kinds…

Artificial Intelligence · Computer Science 2020-07-21 Marina Dubova , Arseny Moskvichev , Robert Goldstone

Dictionaries are inherently circular in nature. A given word is linked to a set of alternative words (the definition) which in turn point to further descendants. Iterating through definitions in this way, one typically finds that…

Computation and Language · Computer Science 2011-03-14 David Levary , Jean-Pierre Eckmann , Elisha Moses , Tsvi Tlusty
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