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Related papers: On the Limits of Language Generation: Trade-Offs B…

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We study language generation in the limit - introduced by Kleinberg and Mullainathan [KM24] - building on classical works of Gold [Gol67] and Angluin [Ang79]. [KM24]'s main result is an algorithm for generating from any countable language…

Machine Learning · Computer Science 2025-07-04 Alkis Kalavasis , Anay Mehrotra , 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

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

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

We study language generation in the limit under a global preference ordering on strings, as introduced by Kleinberg and Wei. As is done in previous work, we aim for breadth, but impose an additional requirement of timeliness: higher-ranked…

Machine Learning · Computer Science 2026-05-21 Atul Ganju , Travis McVoy , Shaddin Dughmi , Shang-Hua Teng

Although current large language models are complex, the most basic specifications of the underlying language generation problem itself are simple to state: given a finite set of training samples from an unknown language, produce valid new…

Data Structures and Algorithms · Computer Science 2024-04-11 Jon Kleinberg , Sendhil Mullainathan

Recent language models generate false but plausible-sounding text with surprising frequency. Such "hallucinations" are an obstacle to the usability of language-based AI systems and can harm people who rely upon their outputs. This work…

Computation and Language · Computer Science 2024-03-21 Adam Tauman Kalai , Santosh S. Vempala

Generative models have shown impressive capabilities in synthesizing high-quality outputs across various domains. However, a persistent challenge is the occurrence of "hallucinations", where the model produces outputs that are plausible but…

Machine Learning · Computer Science 2025-02-10 Changlong Wu , Ananth Grama , Wojciech Szpankowski

While many capabilities of language models (LMs) improve with increased training budget, the influence of scale on hallucinations is not yet fully understood. Hallucinations come in many forms, and there is no universally accepted…

As scaling laws push the training of frontier large language models (LLMs) toward ever-growing data requirements, training pipelines are approaching a regime where much of the publicly available online text may be consumed. At the same…

Machine Learning · Computer Science 2026-03-13 Giorgio Racca , Michal Valko , Amartya Sanyal

Large language models (LLMs) have transformed natural language processing, achieving remarkable performance across diverse tasks. However, their impressive fluency often comes at the cost of producing false or fabricated information, a…

Computation and Language · Computer Science 2026-03-20 Aisha Alansari , Hamzah Luqman

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

Language models have shown strong capabilities across a wide range of tasks in software engineering, such as code generation, yet they suffer from hallucinations. While hallucinations have been studied independently in natural language and…

Software Engineering · Computer Science 2025-08-13 Chunhua Liu , Hong Yi Lin , Patanamon Thongtanunam

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

In text generation, hallucinations refer to the generation of seemingly coherent text that contradicts established knowledge. One compelling hypothesis is that hallucinations occur when a language model is given a generation task outside…

Computation and Language · Computer Science 2024-08-21 Ameya Godbole , Nicholas Monath , Seungyeon Kim , Ankit Singh Rawat , Andrew McCallum , Manzil Zaheer

Is automated hallucination detection possible? In this work, we introduce a theoretical framework to analyze the feasibility of automatically detecting hallucinations produced by large language models (LLMs). Inspired by the classical…

Machine Learning · Computer Science 2025-06-03 Amin Karbasi , Omar Montasser , John Sous , Grigoris Velegkas

Despite their impressive ability to generate high-quality and fluent text, generative large language models (LLMs) also produce hallucinations: statements that are misaligned with established world knowledge or provided input context.…

Computation and Language · Computer Science 2025-01-15 Abhilasha Ravichander , Shrusti Ghela , David Wadden , Yejin Choi

Like students facing hard exam questions, large language models sometimes guess when uncertain, producing plausible yet incorrect statements instead of admitting uncertainty. Such "hallucinations" persist even in state-of-the-art systems…

Computation and Language · Computer Science 2025-09-08 Adam Tauman Kalai , Ofir Nachum , Santosh S. Vempala , Edwin Zhang

Hallucination is often viewed as a direct consequence of missing knowledge: a model answers incorrectly when the correct answer is absent from its generation-time distribution, and correctly when it is present. We test this assumption by…

Computation and Language · Computer Science 2026-05-22 Jewon Yeom , Jaewon Sok , Heejun Kim , Seonghyeon Park , Jeongjae Park , Taesup Kim

Despite improvements in performances on different natural language generation tasks, deep neural models are prone to hallucinating facts that are incorrect or nonexistent. Different hypotheses are proposed and examined separately for…

Computation and Language · Computer Science 2021-03-30 Yijun Xiao , William Yang Wang
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