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Computer model has been extensively adopted to overcome the time limitation of language evolution by transforming language theory into physical modeling mechanism, which helps to explore the general laws of the evolution. In this paper, a…

Systems and Control · Electrical Eng. & Systems 2022-10-07 Yu Zhang , Li Liu , Chen Diao , Ning Cai

Tokenization is a fundamental step in natural language processing (NLP) and other sequence modeling domains, where the choice of vocabulary size significantly impacts model performance. Despite its importance, selecting an optimal…

Machine Learning · Computer Science 2025-07-31 Yanjin He , Qingkai Zeng , Meng Jiang

Human languages use a wide range of grammatical categories to constrain which words or phrases can fill certain slots in grammatical patterns and to express additional meanings, such as tense or aspect, through morpho-syntactic means. These…

Computation and Language · Computer Science 2022-04-22 Luc Steels , Paul Van Eecke , Katrien Beuls

In this article, we present a new machine learning model by imitation based on the linguistic description of complex phenomena. The idea consists of, first, capturing the behaviour of human players by creating a computational perception…

Machine Learning · Computer Science 2021-01-08 Clemente Rubio-Manzano , Tomas Lermanda , CLaudia Martinez , Alejandra Segura , Christian Vidal

Zipf's law states that sequential frequencies of words in a text correspond to a power function. Its probabilistic model is an infinite urn scheme with asymptotically power distribution. The exponent of this distribution must be estimated.…

Statistics Theory · Mathematics 2017-06-15 Mikhail Chebunin , Artyom Kovalevskii

Human language defines the most complex outcomes of evolution. The emergence of such an elaborated form of communication allowed humans to create extremely structured societies and manage symbols at different levels including, among others,…

Physics and Society · Physics 2014-03-14 Ricard V. Solé , Luís F. Seoane

The word embedding space in neural models is skewed, and correcting this can improve task performance. We point out that most approaches for modeling, correcting, and measuring the symmetry of an embedding space implicitly assume that the…

Computation and Language · Computer Science 2024-11-04 Sho Yokoi , Han Bao , Hiroto Kurita , Hidetoshi Shimodaira

The prevailing maximum likelihood estimators for inferring power law models from rank-frequency data are biased. The source of this bias is an inappropriate likelihood function. The correct likelihood function is derived and shown to be…

Applications · Statistics 2021-07-27 Charlie Pilgrim , Thomas T Hills

The availability of big data has opened up big opportunities for individuals, businesses and academics to view big into what is happening in their world. Previous works of text representation mostly focused on informativeness from massive…

Computation and Language · Computer Science 2022-09-27 Peng Yang

Empathetic dialogue is a human-like behavior that requires the perception of both affective factors (e.g., emotion status) and cognitive factors (e.g., cause of the emotion). Besides concerning emotion status in early work, the latest…

Computation and Language · Computer Science 2023-02-24 Yushan Qian , Bo Wang , Ting-En Lin , Yinhe Zheng , Ying Zhu , Dongming Zhao , Yuexian Hou , Yuchuan Wu , Yongbin Li

Understanding human behaviour in decision problems and strategic interactions has wide-ranging applications in economics, psychology, and artificial intelligence. Game theory offers a robust foundation for this understanding, based on the…

Computer Science and Game Theory · Computer Science 2024-07-16 Valerio Capraro , Roberto Di Paolo , Matjaz Perc , Veronica Pizziol

Cycles of word usage have been described using an integro-differential Volterra model close to a Hopf bifurcation. Here we transform this system to a phase model, which allows us to phase-couple the words and address the observation of…

Physics and Society · Physics 2026-05-01 Alejandro Pardo Pintos , Diego Shalom , Enzo Tagliazucchi , Gabriel Mindlin , Marcos Trevisan

This abstract proposes an approach towards goal-oriented modeling of the detection and modeling complex social phenomena in multiparty discourse in an online political strategy game. We developed a two-tier approach that first encodes…

Computation and Language · Computer Science 2022-01-05 Hansin Ahuja , Lynnette Hui Xian Ng , Kokil Jaidka

Categories provide a coarse grained description of the world. A fundamental question is whether categories simply mirror an underlying structure of nature, or instead come from the complex interactions of human beings among themselves and…

Physics and Society · Physics 2008-06-19 Andrea Puglisi , Andrea Baronchelli , Vittorio Loreto

Zipf's law in its basic incarnation is an empirical probability distribution governing the frequency of usage of words in a language. As Terence Tao recently remarked, it still lacks a convincing and satisfactory mathematical explanation.…

Information Theory · Computer Science 2013-04-30 Yuri I. Manin

This paper studies the limits of language models' statistical learning in the context of Zipf's law. First, we demonstrate that Zipf-law token distribution emerges irrespective of the chosen tokenization. Second, we show that Zipf…

Computation and Language · Computer Science 2022-11-22 Elizaveta Zhemchuzhina , Nikolai Filippov , Ivan P. Yamshchikov

In this paper the Zipf-Mandelbrot law is revisited in the context of linguistics. Despite its widespread popularity the Zipf--Mandelbrot law can only describe the statistical behaviour of a rather restricted fraction of the total number of…

Statistical Mechanics · Physics 2009-11-07 Marcelo A. Montemurro

Zipf's law describes the empirical size distribution of the components of many systems in natural and social sciences and humanities. We show, by solving a statistical model, that Zipf's law co-occurs with the maximization of the diversity…

Statistical Mechanics · Physics 2021-10-05 Onofrio Mazzarisi , Amanda de Azevedo-Lopes , Jeferson J. Arenzon , Federico Corberi

Prompted models have demonstrated impressive few-shot learning abilities. Repeated interactions at test-time with a single model, or the composition of multiple models together, further expands capabilities. These compositions are…

In the domain of unsupervised learning most work on speech has focused on discovering low-level constructs such as phoneme inventories or word-like units. In contrast, for written language, where there is a large body of work on…

Computation and Language · Computer Science 2018-10-29 Grzegorz Chrupała , Lieke Gelderloos , Ákos Kádár , Afra Alishahi
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