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This paper explores the application of Stochastic Differential Equations (SDE) to interpret the text generation process of Large Language Models (LLMs) such as GPT-4. Text generation in LLMs is modeled as a stochastic process where each…

Machine Learning · Computer Science 2024-08-23 Yukun Zhang

The probabilistic description of the time evolution of a physical system can take two conceptually distinct forms: a trajectory of probabilities, which specifies how probabilities evolve over time, and a probability on trajectories, which…

Quantum Physics · Physics 2026-03-02 Győző Egri , Marton Gomori , Balazs Gyenis , Gábor Hofer-Szabó

The geographical pattern of human dialects is a result of history. Here, we formulate a simple spatial model of language change which shows that the final result of this historical evolution may, to some extent, be predictable. The model…

Physics and Society · Physics 2017-07-26 James Burridge

I survey some recent approaches to studying change in the lexicon, particularly change in meaning across phylogenies. I briefly sketch an evolutionary approach to language change and point out some issues in recent approaches to studying…

Computation and Language · Computer Science 2019-06-14 Claire Bowern

Languages are dynamic entities, where the meanings associated with words constantly change with time. Detecting the semantic variation of words is an important task for various NLP applications that must make time-sensitive predictions.…

Computation and Language · Computer Science 2023-05-16 Taichi Aida , Danushka Bollegala

One of the most intriguing features of language is its constant change, with ongoing shifts in how meaning is expressed. Despite decades of research, the factors that determine how and why meanings evolve remain only partly understood.…

Computation and Language · Computer Science 2025-10-16 Kim Gfeller , Sabine Stoll , Chundra Cathcart , Paul Widmer

A fundamental characteristic of natural language is the high rate at which speakers produce novel expressions. Because of this novelty, a heavy-tail of rare events accounts for a significant amount of the total probability mass of…

Computation and Language · Computer Science 2022-03-25 Benjamin LeBrun , Alessandro Sordoni , Timothy J. O'Donnell

Human language has a distinct systematic structure, where utterances break into individually meaningful words which are combined to form phrases. We show that natural-language-like systematicity arises in codes that are constrained by a…

Computation and Language · Computer Science 2025-11-19 Richard Futrell , Michael Hahn

Word evolution refers to the changing meanings and associations of words throughout time, as a byproduct of human language evolution. By studying word evolution, we can infer social trends and language constructs over different periods of…

Computation and Language · Computer Science 2018-02-14 Zijun Yao , Yifan Sun , Weicong Ding , Nikhil Rao , Hui Xiong

Spoken communication occurs in a "noisy channel" characterized by high levels of environmental noise, variability within and between speakers, and lexical and syntactic ambiguity. Given these properties of the received linguistic input,…

Computation and Language · Computer Science 2021-01-26 Stephan C. Meylan , Sathvik Nair , Thomas L. Griffiths

Our languages are in constant flux driven by external factors such as cultural, societal and technological changes, as well as by only partially understood internal motivations. Words acquire new meanings and lose old senses, new words are…

Computation and Language · Computer Science 2019-03-14 Nina Tahmasebi , Lars Borin , Adam Jatowt

Given the rapidly evolving landscape of linguistic prevalence, whereby a majority of the world's existing languages are dying out in favor of the adoption of a comparatively fewer set of languages, the factors behind this phenomenon has…

Physics and Society · Physics 2021-06-30 Sayat Mimar , Mariamo Mussa Juane , Jorge Mira , Juyong Park , Alberto P. Munuzuri , Gourab Ghoshal

We consider the spreading and competition of languages that are spoken by a population of individuals. The individuals can change their mother tongue during their lifespan, pass on their language to their offspring and finally die. The…

Physics and Society · Physics 2009-11-11 Tiberiu Teşileanu , Hildegard Meyer-Ortmanns

The idea of measuring distance between languages seems to have its roots in the work of the French explorer Dumont D'Urville (D'Urville 1832). He collected comparative words lists of various languages during his voyages aboard the Astrolabe…

Computation and Language · Computer Science 2009-12-07 Filippo Petroni , Maurizio Serva

There is much debate over the degree to which language learning is governed by innate language-specific biases, or acquired through cognition-general principles. Here we examine the probabilistic language acquisition hypothesis on three…

Computation and Language · Computer Science 2010-06-17 Anne S. Hsu , Nick Chater , Paul M. B. Vitanyi

In the principles-and-parameters framework, the structural features of languages depend on parameters that may be toggled on or off, with a single parameter often dictating the status of multiple features. The implied covariance between…

Computation and Language · Computer Science 2019-05-16 Johannes Bjerva , Yova Kementchedjhieva , Ryan Cotterell , Isabelle Augenstein

While language progresses through a sequence of semantic states, the underlying dynamics of this progression remain elusive. Here, we treat the semantic progression of written text as a stochastic trajectory in a high-dimensional state…

Computation and Language · Computer Science 2026-01-30 Debayan Dasgupta

The syntactic structure of a sentence can be represented as a graph, where vertices are words and edges indicate syntactic dependencies between them. In this setting, the distance between two linked words is defined as the difference…

Computation and Language · Computer Science 2025-08-12 Sonia Petrini , Ramon Ferrer-i-Cancho

Singlish is a creole rooted in Singapore's multilingual environment that continues to evolve alongside social and technological change. We examine diachronic stylistic change across a decade of informal digital messages and ask whether…

Computation and Language · Computer Science 2026-05-27 Linus Tze En Foo , Weihan Angela Ng , Wenkai Li , Lynnette Hui Xian Ng

Semantic change detection concerns the task of identifying words whose meaning has changed over time. The current state-of-the-art detects the level of semantic change in a word by comparing its vector representation in two distinct time…

Computation and Language · Computer Science 2020-04-29 Adam Tsakalidis , Maria Liakata