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A language dynamics model on a square lattice, which is an extension of the one popularized by Abrams and Strogatz [1], is analyzed using ODE bifurcation theory. For this model we are interested in the existence and spectral stability of…

Pattern Formation and Solitons · Physics 2021-02-16 T. Kapitula , P. G. Kevrekidis

The bit-string model of Schulze and Stauffer (2005) is applied to non-equilibrium situations and then gives better agreement with the empirical distribution of language sizes. Here the size is the number of people having this language as…

Physics and Society · Physics 2009-11-11 D. Stauffer , C. Schulze , F. W. S. Lima , S. Wichmann , S. Solomon

We consider two social consensus models, the AB-model and the Naming Game restricted to two conventions, which describe a population of interacting agents that can be in either of two equivalent states (A or B) or in a third mixed (AB)…

Physics and Society · Physics 2010-01-08 Xavier Castelló , Andrea Baronchelli , Vittorio Loreto

The availability of large linguistic data sets enables data-driven approaches to study linguistic change. The Google Books corpus unigram frequency data set is used to investigate the word rank dynamics in eight languages. We observed the…

Computation and Language · Computer Science 2022-02-15 Alex John Quijano , Rick Dale , Suzanne Sindi

Conversational Spoken Language Models (SLMs) are emerging as a promising paradigm for real-time speech interaction. However, their capacity of temporal dynamics, including the ability to manage timing, tempo and simultaneous speaking,…

Audio and Speech Processing · Electrical Eng. & Systems 2026-05-04 Kai-Wei Chang , En-Pei Hu , Chun-Yi Kuan , Wenze Ren , Wei-Chih Chen , Guan-Ting Lin , Yu Tsao , Shao-Hua Sun , Hung-yi Lee , James Glass

The similarity of the evolution of human languages (or alphabets, bird songs, >...) to biological evolution of species is utilized to study with up to $10^9$ people the rise and fall of languages either by macroscopic differential equations…

Physics and Society · Physics 2009-11-11 Dietrich Stauffer , Christian Schulze

We present a simple game model where agents with different memory lengths compete for finite resources. We show by simulation and analytically that an instability exists at a critical memory length, and as a result, different memory lengths…

Adaptation and Self-Organizing Systems · Physics 2015-05-12 James Burridge , Yu Gao , Yong Mao

We investigate how large language models perform on low-resource languages by benchmarking eight LLMs across five experimental conditions in English, Kazakh, and Mongolian. Using 50 hand-crafted questions spanning factual, reasoning,…

Computation and Language · Computer Science 2026-03-24 Abdul-Salem Beibitkhan

Large language models can score well on named game-theory benchmarks while failing on the same strategic computation once semantic cues are removed. We show this gap with procedurally generated zero-sum matrix games: a model that recognizes…

Machine Learning · Computer Science 2026-05-12 Wenhua Nie , Binhan Luo , Zijie Meng , Jyh-Shing Roger Jang , Ching-Wen Ma

In this work, we introduce a learning model designed to meet the needs of applications in which computational resources are limited, and robustness and interpretability are prioritized. Learning problems can be formulated as constrained…

Systems and Control · Electrical Eng. & Systems 2025-09-26 Christos Mavridis , John Baras

Influencing various aspects of human activity, migration is associated also with language formation. To examine the mutual interaction of these processes, we study a Naming Game with migrating agents. The dynamics of the model leads to…

Physics and Society · Physics 2017-05-17 Dorota Lipowska , Adam Lipowski

Based on the heuristics that maintaining presumptions can be beneficial in uncertain environments, we propose a set of basic axioms for learning systems to incorporate the concept of prejudice. The simplest, memoryless model of a…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Andreas U. Schmidt

Motivated by the dramatic disappearance of endangered languages observed in recent years, a great deal of attention has been given to the modeling of language competition in order to understand the factors that promote the disappearance of…

Physics and Society · Physics 2024-01-09 Christos Charalambous , David Sanchez , Raul Toral

I study the interplay between language competition and ideology struggle in a country where there is a native high-status language and a low-status language spoken by immigrants. Language transition is governed by a three-state model…

Physics and Society · Physics 2016-09-09 André Barreira da Silva Rocha

Human memory is fleeting. As words are processed, the exact wordforms that make up incoming sentences are rapidly lost. Cognitive scientists have long believed that this limitation of memory may, paradoxically, help in learning language -…

Computation and Language · Computer Science 2026-05-11 Abishek Thamma , Micha Heilbron

In recent times, the research field of language dynamics has focused on the investigation of language evolution, dividing the work in three evolutive steps, according to the level of complexity: lexicon, categories and grammar. The Naming…

Physics and Society · Physics 2013-07-08 L. Pucci , P. Gravino , V. D. P. Servedio

We study an atomic signaling game under stochastic evolutionary dynamics. There is a finite number of players who repeatedly update from a finite number of available languages/signaling strategies. Players imitate the most fit agents with…

Probability · Mathematics 2013-12-23 Michael J. Fox , Behrouz Touri , Jeff S. Shamma

We examine the effects of memory and different updating paradigms in a game-theoretic model of competitive learning, where agents are influenced in their choice of strategy by both the choices made by, and the consequent success rates of,…

Physics and Society · Physics 2012-01-23 Ajaz Ahmad Bhat , Anita Mehta

Associative learning--forming links between co-occurring items--is fundamental to human cognition, reshaping internal representations in complex ways. Testing hypotheses on how representational changes occur in biological systems is…

Machine Learning · Computer Science 2025-10-27 Camila Kolling , Vy Ai Vo , Mariya Toneva

Competitive dynamics are thought to occur in many processes of learning involving synaptic plasticity. Here we show, in a game theory-inspired model of synaptic interactions, that the competition between synapses in their weak and strong…

Disordered Systems and Neural Networks · Physics 2015-05-28 Gaurang Mahajan , Anita Mehta