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Many complex generative systems use languages to create structured objects. We consider a model of random languages, defined by weighted context-free grammars. As the distribution of grammar weights broadens, a transition is found from a…

Disordered Systems and Neural Networks · Physics 2019-04-03 E. DeGiuli

The Random Language Model, proposed as a simple model of human languages, is defined by the averaged model of a probabilistic context-free grammar. This grammar expresses the process of sentence generation as a tree graph with nodes having…

Disordered Systems and Neural Networks · Physics 2022-07-07 Kai Nakaishi , Koji Hukushima

The Random Language Model (De Giuli 2019) is an ensemble of stochastic context-free grammars, quantifying the syntax of human and computer languages. The model suggests a simple picture of first language learning as a type of annealing in…

Disordered Systems and Neural Networks · Physics 2024-12-10 Fatemeh Lalegani , Eric De Giuli

The present work analyzes the redundancy of sets of combinatorial objects produced by a weighted random generation algorithm proposed by Denise et al. This scheme associates weights to the terminals symbols of a weighted context-free…

Data Structures and Algorithms · Computer Science 2010-12-07 Danièle Gardy , Yann Ponty

We study random words in a weighted regular language that achieve the maximal free energy using thermodynamics formalism. In particular, typical words in the language are algorithmically generated which have applications in computer…

Formal Languages and Automata Theory · Computer Science 2017-11-27 Cewei Cui , Zhe Dang

Some consider large-scale language models that can generate long and coherent pieces of text as dangerous, since they may be used in misinformation campaigns. Here we formulate large-scale language model output detection as a hypothesis…

Computation and Language · Computer Science 2020-02-11 Lav R. Varshney , Nitish Shirish Keskar , Richard Socher

Large Language Models (LLMs) can be deployed in situations where they process positive/negative interactions with other agents. We study how this is done under the sociological framework of social balance, which explains the emergence of…

Computation and Language · Computer Science 2026-01-07 Pedro Cisneros-Velarde

Two formalisms, both based on context-free grammars, have recently been proposed as a basis for a non-uniform random generation of combinatorial objects. The former, introduced by Denise et al, associates weights with letters, while the…

Computation and Language · Computer Science 2012-05-04 Yann Ponty

Large Language Models (LLMs) have transformed text generation through inherently probabilistic context-aware mechanisms, mimicking human natural language. In this paper, we systematically investigate the performance of various LLMs when…

Computation and Language · Computer Science 2025-02-28 Javier Coronado-Blázquez

Large language models (LLMs) have demonstrated impressive capabilities in natural language generation. However, their output quality can be inconsistent, posing challenges for generating natural language from logical forms (LFs). This task…

Computation and Language · Computer Science 2023-09-22 Levon Haroutunian , Zhuang Li , Lucian Galescu , Philip Cohen , Raj Tumuluri , Gholamreza Haffari

We examine a random model consisting of objects with positive weights and evolving in discrete time steps, which generalizes certain random graph models. We prove almost sure convergence for the weight distribution and show scale-free…

Probability · Mathematics 2014-11-10 Ágnes Backhausz , Tamás F. Móri

Transformer-based language models are effective but complex, and understanding their inner workings and reasoning mechanisms is a significant challenge. Previous research has primarily explored how these models handle simple tasks like name…

Computation and Language · Computer Science 2025-05-20 Zeyuan Allen-Zhu , Yuanzhi Li

We prove that there exists no algorithm to decide whether the language generated by a context-free grammar is dense with respect to the lexicographic ordering. As a corollary to this result, we show that it is undecidable whether the…

Formal Languages and Automata Theory · Computer Science 2010-04-13 Zoltan Esik

This paper delves into the capabilities of large language models (LLMs), specifically focusing on advancing the theoretical comprehension of chain-of-thought prompting. We investigate how LLMs can be effectively induced to generate a…

Computation and Language · Computer Science 2024-06-07 Rasul Tutunov , Antoine Grosnit , Juliusz Ziomek , Jun Wang , Haitham Bou-Ammar

Generating text from structured data is challenging because it requires bridging the gap between (i) structure and natural language (NL) and (ii) semantically underspecified input and fully specified NL output. Multilingual generation…

Computation and Language · Computer Science 2020-11-12 Angela Fan , Claire Gardent

We observe that pre-trained large language models (LLMs) are capable of autoregressively completing complex token sequences -- from arbitrary ones procedurally generated by probabilistic context-free grammars (PCFG), to more rich spatial…

Artificial Intelligence · Computer Science 2023-10-27 Suvir Mirchandani , Fei Xia , Pete Florence , Brian Ichter , Danny Driess , Montserrat Gonzalez Arenas , Kanishka Rao , Dorsa Sadigh , Andy Zeng

We study a deliberately simple, fully non-linguistic model of text: a sequence of independent draws from a finite alphabet of letters plus a single space symbol. A word is defined as a maximal block of non-space symbols. Within this…

Computation and Language · Computer Science 2025-11-25 Vladimir Berman

This paper looks at the ability of large language models to participate in educational guided reading. We specifically, evaluate their ability to generate meaningful questions from the input text, generate diverse questions both in terms of…

Computation and Language · Computer Science 2023-05-22 Peter Ochieng

Language models have emerged as a central component across NLP, and a great deal of progress depends on the ability to cheaply adapt them (e.g., through finetuning) to new domains and tasks. A language model's vocabulary$-$typically…

Computation and Language · Computer Science 2020-10-07 Nikolaos Pappas , Phoebe Mulcaire , Noah A. Smith

This paper addresses the uniform random generation of words from a context-free language (over an alphabet of size $k$), while constraining every letter to a targeted frequency of occurrence. Our approach consists in a multidimensional…

Data Structures and Algorithms · Computer Science 2010-12-21 Olivier Bodini , Yann Ponty
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