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We review the background of the cluster algorithms in Monte Carlo simulation of statistical physics problems. One of the first such successful algorithm was developed by Swendsen and Wang eight years ago. In contrast to the local…

Condensed Matter · Physics 2007-05-23 Jian-Sheng Wang

The differential equations of Abrams and Strogatz for the competition between two languages are compared with agent-based Monte Carlo simulations for fully connected networks as well as for lattices in one, two and three dimensions, with up…

Computational Physics · Physics 2008-01-27 Dietrich Stauffer , Xavier Castello , Victor M. Eguiluz , Maxi San Miguel

Computer simulations have become an important tool across the biomedical sciences and beyond. For many important problems several different models or hypotheses exist and choosing which one best describes reality or observed data is not…

Quantitative Methods · Quantitative Biology 2010-01-20 Tina Toni , Michael P. H. Stumpf

A bit-string model for the evolution of a population of haploid organisms, subject to competition, reproduction with mutation and selection is studied, using mean field theory and Monte Carlo simulations. We show that, depending on…

Statistical Mechanics · Physics 2009-11-07 Kathia M. Fehsenfeld , Ronald Dickman , Americo T. Bernardes

This paper introduces how human languages can be studied in light of recent development of network theories. There are two directions of exploration. One is to study networks existing in the language system. Various lexical networks can be…

Computation and Language · Computer Science 2007-05-23 Jinyun KE

This article is devoted to methods of construction and study of stochastic models based on Monte Carlo method. A model of Brownian motion, the construction and processing which brings to a world of random numbers and mathematical…

Physics Education · Physics 2018-09-18 Illia O. Teplytskyi , Serhiy O. Semerikov

We propose a theoretical framework within which information on the vocabulary of a given corpus can be inferred on the basis of statistical information gathered on that corpus. Inferences can be made on the categories of the words in the…

Computation and Language · Computer Science 2008-10-08 Pascal Vaillant , Richard Nock , Claudia Henry

The evolution of language has been a hotly debated subject with contradicting hypotheses and unreliable claims. Drawing from signalling games, dynamic population mechanics, machine learning and algebraic topology, we present a method for…

Computation and Language · Computer Science 2021-02-25 Abhinav Tamaskar , Roy Rinberg , Sunandan Chakraborty , Bud Mishra

During the last decade, much attention has been paid to language competition in the complex systems community, that is, how the fractions of speakers of several competing languages evolve in time. In this paper we review recent advances in…

Physics and Society · Physics 2012-06-15 M. Patriarca , X. Castelló , J. R. Uriarte , V. M. Eguíluz , M. San Miguel

An earlier study (Nettle 1999b) concluded, based on computer simulations and some inferences from empirical data, that languages will change the more slowly the larger the population gets. We replicate this study using a more complete…

Physics and Society · Physics 2007-06-14 Soeren Wichmann , Dietrich Stauffer , Christian Schulze , Eric W. Holman

Computer simulation of languages is an old subject, but since the paper of Abrams and Strogatz (2003) several physics groups independently took up this field. We shortly review their work and bring more details on our own simulations.

Physics and Society · Physics 2007-05-23 Christian Schulze , Dietrich Stauffer

Programming languages are engineered languages that allow to instruct a machine and share algorithmic information; they have a great influence on the society since they underlie almost every information technology artefact, and they are at…

Programming Languages · Computer Science 2015-10-16 Silvia Crafa

Human languages have evolved to be structured through repeated language learning and use. These processes introduce biases that operate during language acquisition and shape linguistic systems toward communicative efficiency. In this paper,…

Computation and Language · Computer Science 2024-12-16 Tom Kouwenhoven , Max Peeperkorn , Tessa Verhoef

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…

As the vocabulary size of modern word-based language models becomes ever larger, many sampling-based training criteria are proposed and investigated. The essence of these sampling methods is that the softmax-related traversal over the…

Computation and Language · Computer Science 2021-06-18 Yingbo Gao , David Thulke , Alexander Gerstenberger , Khoa Viet Tran , Ralf Schlüter , Hermann Ney

It is argued that the present log-normal distribution of language sizes is, to a large extent, a consequence of demographic dynamics within the population of speakers of each language. A two-parameter stochastic multiplicative process is…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Damian H. Zanette

Learning word embeddings using distributional information is a task that has been studied by many researchers, and a lot of studies are reported in the literature. On the contrary, less studies were done for the case of multiple languages.…

Computation and Language · Computer Science 2020-04-15 Marco Berlot , Evan Kaplan

Language models (LMs) are statistical models that calculate probabilities over sequences of words or other discrete symbols. Currently two major paradigms for language modeling exist: count-based n-gram models, which have advantages of…

Computation and Language · Computer Science 2016-09-27 Graham Neubig , Chris Dyer

An in-depth analytic study of a model of language dynamics is presented: a model which tackles the problem of the coexistence of two languages within a closed community of speakers taking into account bilingualism and incorporating a…

Physics and Society · Physics 2014-02-19 Victoria Otero-Espinar , Luís F. Seoane , Juan J. Nieto , Jorge Mira

If a stochastic system during some periods of its evolution can be divided into non-interacting parts, the kinetics of each part can be simulated independently. We show that this can be used in the development of efficient Monte Carlo…

Materials Science · Physics 2009-11-13 V. I. Tokar , H. Dreyssé