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The availability of large datasets requires an improved view on statistical laws in complex systems, such as Zipf's law of word frequencies, the Gutenberg-Richter law of earthquake magnitudes, or scale-free degree distribution in networks.…

Data Analysis, Statistics and Probability · Physics 2019-04-30 Martin Gerlach , Eduardo G. Altmann

In the last years, researchers have realized the difficulties of fitting power-law distributions properly. These difficulties are higher in Zipf's systems, due to the discreteness of the variables and to the existence of two representations…

Data Analysis, Statistics and Probability · Physics 2022-11-29 Alvaro Corral , Isabel Serra , Ramon Ferrer-i-Cancho

We review recent progress in understanding the meaning of mutual information in natural language. Let us define words in a text as strings that occur sufficiently often. In a few previous papers, we have shown that a power-law distribution…

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

We introduce a non-growth model that generates the power-law distribution with the Zipf exponent. There are N elements, each of which is characterized by a quantity, and at each time step these quantities are redistributed through binary…

Statistical Mechanics · Physics 2012-04-27 Suhan Ree

We study a resource utilization scenario characterized by intrinsic fitness. To describe the growth and organization of different cities, we consider a model for resource utilization where many restaurants compete, as in a game, to attract…

Physics and Society · Physics 2014-10-28 Asim Ghosh , Arnab Chatterjee , Anindya S. Chakrabarti , Bikas K Chakrabarti

The paper presents a language model that develops syntactic structure and uses it to extract meaningful information from the word history, thus enabling the use of long distance dependencies. The model assigns probability to every joint…

Computation and Language · Computer Science 2007-05-23 Ciprian Chelba

The evolution of grammatical systems of syntactic and semantic composition is modeled here with a novel application of reinforcement learning theory. To test the functionalist thesis that speakers' expressive purposes shape their language,…

Computation and Language · Computer Science 2025-03-04 Stephen Wechsler , James W. Shearer , Katrin Erk

The natural language generation (NLG) component of a spoken dialogue system (SDS) usually needs a substantial amount of handcrafting or a well-labeled dataset to be trained on. These limitations add significantly to development costs and…

Computation and Language · Computer Science 2015-08-10 Tsung-Hsien Wen , Milica Gasic , Dongho Kim , Nikola Mrksic , Pei-Hao Su , David Vandyke , Steve Young

Construction grammar posits that constructions, or form-meaning pairings, are acquired through experience with language (the distributional learning hypothesis). But how much information about constructions does this distribution actually…

Computation and Language · Computer Science 2025-09-26 Joshua Rozner , Leonie Weissweiler , Kyle Mahowald , Cory Shain

Traditional linguistic theories have largely regard language as a formal system composed of rigid rules. However, their failures in processing real language, the recent successes in statistical natural language processing, and the findings…

Computation and Language · Computer Science 2020-12-02 Shuiyuan Yu , Chunshan Xu , Haitao Liu

Large language models perform text generation through high-dimensional internal dynamics, yet the temporal organisation of these dynamics remains poorly understood. Most interpretability approaches emphasise static representations or causal…

Artificial Intelligence · Computer Science 2026-01-21 Hassan Ugail , Newton Howard

The recent dramatic increase in online data availability has allowed researchers to explore human culture with unprecedented detail, such as the growth and diversification of language. In particular, it provides statistical tools to explore…

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

We study the relationship between vocabulary size and text length in a corpus of $75$ literary works in English, authored by six writers, distinguishing between the contributions of three grammatical classes (or ``tags,'' namely, {\it…

Computation and Language · Computer Science 2020-01-08 Andrés Chacoma , Damián H. Zanette

The science of cities seeks to understand and explain regularities observed in the world's major urban systems. Modelling the population evolution of cities is at the core of this science and of all urban studies. Quantitatively, the most…

Physics and Society · Physics 2021-10-14 Vincent Verbavatz , Marc Barthelemy

We consider the task of data-to-text generation, which aims to create textual output from non-linguistic input. We focus on generating long-form text, i.e., documents with multiple paragraphs, and propose a neural model enhanced with a…

Computation and Language · Computer Science 2022-03-01 Ratish Puduppully , Yao Fu , Mirella Lapata

We show that the laws of Zipf and Benford, obeyed by scores of numerical data generated by many and diverse kinds of natural phenomena and human activity are related to the focal expression of a generalized thermodynamic structure. This…

Statistical Mechanics · Physics 2015-05-19 Carlo Altamirano , Alberto Robledo

What dynamics govern a time series representing the appearance of words in social media data? In this paper, we investigate an elementary dynamics, from which word-dependent special effects are segregated, such as breaking news, increasing…

Physics and Society · Physics 2017-07-31 Hayafumi Watanabe

Zipf's law, and power laws in general, have attracted and continue to attract considerable attention in a wide variety of disciplines - from astronomy to demographics to software structure to economics to linguistics to zoology, and even…

Physics and Society · Physics 2013-05-10 Matt Visser

The length of coding sequence series in microbial genomes were regarded as a fluctuating system and characterized by the methods of statistical physics. The distribution and the correlatin properties of 50 genomes including bacteria and…

Genomics · Quantitative Biology 2008-05-29 V. V. Morariu
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