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Related papers: Language Generation in the Limit

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The success of large language models (LLMs) has motivated formal theories of language generation and learning. We study the framework of \emph{language generation in the limit}, where an adversary enumerates strings from an unknown language…

Data Structures and Algorithms · Computer Science 2025-11-10 Jon Kleinberg , Fan Wei

We study language generation in the limit under bounded memory. In this task, a learner observes examples from an unknown target language one at a time and must eventually output only new valid examples. Prior work assumes access to the…

Data Structures and Algorithms · Computer Science 2026-05-29 Jon Kleinberg , Anay Mehrotra , Amin Saberi , Grigoris Velegkas

The recent successes of large language models (LLMs) have led to a surge of theoretical research into language generation. A recent line of work proposes an abstract view, called language generation in the limit, where generation is seen as…

Combinatorics · Mathematics 2025-04-22 Jon Kleinberg , Fan Wei

Kleinberg and Mullainathan showed that language generation in the limit is always possible at the level of computability: given enough positive examples, a learner can eventually generate data indistinguishable from a target language.…

Computation and Language · Computer Science 2026-01-30 Marcelo Arenas , Pablo Barceló , Luis Cofré , Alexander Kozachinskiy

Recent results in learning a language in the limit have shown that, although language identification is impossible, language generation is tractable. As this foundational area expands, we need to consider the implications of language…

Computation and Language · Computer Science 2026-01-14 Antonios Anastasopoulos , Giuseppe Ateniese , Evgenios M. Kornaropoulos

We study the problem of language identification in the limit, where given a sequence of examples from a target language, the goal of the learner is to output a sequence of guesses for the target language such that all the guesses beyond…

Computation and Language · Computer Science 2025-11-07 Moses Charikar , Chirag Pabbaraju , Ambuj Tewari

Recent advances in deep neural language models combined with the capacity of large scale datasets have accelerated the development of natural language generation systems that produce fluent and coherent texts (to various degrees of success)…

Computation and Language · Computer Science 2025-04-15 Cristina Garbacea , Qiaozhu Mei

We investigate the learning task of language generation in the limit, but shift focus from the traditional time-of-last-mistake metric of a generator's success to a new notion of "mistake-bounded generation." While existing results for…

Machine Learning · Computer Science 2026-05-12 Jon Kleinberg , Charlotte Peale , Omer Reingold

Recent advances in neural network-based generative modeling have reignited the hopes in having computer systems capable of seamlessly conversing with humans and able to understand natural language. Neural architectures have been employed to…

Computation and Language · Computer Science 2020-08-03 Cristina Garbacea , Qiaozhu Mei

The recent work of Kleinberg & Mullainathan [KM24] provides a concrete model for language generation in the limit: given a sequence of examples from an unknown target language, the goal is to generate new examples from the target language…

Data Structures and Algorithms · Computer Science 2024-12-25 Moses Charikar , Chirag Pabbaraju

This work aims to employ natural language generation (NLG) to rapidly generate items for English language learning applications: this requires both language models capable of generating fluent, high-quality English, and to control the…

Computation and Language · Computer Science 2022-11-30 Kevin Stowe , Debanjan Ghosh , Mengxuan Zhao

We study language generation in the limit, where an algorithm observes an adversarial enumeration of strings from an unknown target language $K$ and must eventually generate new, unseen strings from $K$. Kleinberg and Mullainathan [KM24]…

Machine Learning · Statistics 2025-11-11 Anay Mehrotra , Grigoris Velegkas , Xifan Yu , Felix Zhou

Given a language, which in this article is a set of strings of some fixed length, we study the problem of producing its elements by a procedure in which each position has its own local rule. We introduce a way of measuring how much…

Discrete Mathematics · Computer Science 2025-11-27 Mathieu Hoyrup

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

Today's probabilistic language generators fall short when it comes to producing coherent and fluent text despite the fact that the underlying models perform well under standard metrics, e.g., perplexity. This discrepancy has puzzled the…

Computation and Language · Computer Science 2025-06-06 Clara Meister , Tiago Pimentel , Gian Wiher , Ryan Cotterell

Large Language Models (LLMs) have demonstrated a powerful ability for text generation. However, achieving optimal results with a given prompt or instruction can be challenging, especially for billion-sized models. Additionally, undesired…

Computation and Language · Computer Science 2024-10-07 Lifu Tu , Semih Yavuz , Jin Qu , Jiacheng Xu , Rui Meng , Caiming Xiong , Yingbo Zhou

Advancements in natural language generation (NLG) and large language models (LLMs) have led to proficient text generation in various tasks. However, integrating intricate constraints into neural text generation, due to LLMs' opacity,…

Computation and Language · Computer Science 2024-03-22 Xiang Chen , Xiaojun Wan

Generating dictionary definitions automatically can prove useful for language learners. However, it's still a challenging task of cross-lingual definition generation. In this work, we propose to generate definitions in English for words in…

Computation and Language · Computer Science 2020-10-13 Cunliang Kong , Liner Yang , Tianzuo Zhang , Qinan Fan , Zhenghao Liu , Yun Chen , Erhong Yang

Recent works on language identification and generation have established tight statistical rates at which these tasks can be achieved. These works typically operate under a strong realizability assumption: that the input data is drawn from…

Machine Learning · Computer Science 2026-04-23 Mikael Møller Høgsgaard , Chirag Pabbaraju

Kleinberg and Mullainathan recently proposed a formal framework for studying the phenomenon of language generation, called language generation in the limit. In this model, an adversary gives an enumeration of example strings from an unknown…

Data Structures and Algorithms · Computer Science 2026-01-30 Aaron Li , Ian Zhang
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