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We show that the laws of autocorrelations decay in texts are closely related to applicability limits of language models. Using distributional semantics we empirically demonstrate that autocorrelations of words in texts decay according to a…

Computation and Language · Computer Science 2023-05-12 Nikolay Mikhaylovskiy , Ilya Churilov

Large Language Models (LLMs) have demonstrated impressive performance. To understand their behaviors, we need to consider the fact that LLMs sometimes show qualitative changes. The natural world also presents such changes called phase…

Disordered Systems and Neural Networks · Physics 2024-10-23 Kai Nakaishi , Yoshihiko Nishikawa , Koji Hukushima

The hydrodynamic part of the velocity autocorrelation function of a granular fluid in the homogeneous cooling state has been calculated by using mode-coupling theory for a finite system with periodic boundary conditions. The existence of…

Statistical Mechanics · Physics 2015-06-23 J. Javier Brey , M. J. Ruiz-Montero

Language exhibits a fractal structure in its information-theoretic complexity (i.e. bits per token), with self-similarity across scales and long-range dependence (LRD). In this work, we investigate whether large language models (LLMs) can…

Computation and Language · Computer Science 2025-05-27 Ibrahim Alabdulmohsin , Andreas Steiner

We show that the mutual information between two symbols, as a function of the number of symbols between the two, decays exponentially in any probabilistic regular grammar, but can decay like a power law for a context-free grammar. This…

Disordered Systems and Neural Networks · Physics 2017-08-25 Henry W. Lin , Max Tegmark

The rapid advancements in large language models (LLMs) have significantly improved their ability to generate natural language, making texts generated by LLMs increasingly indistinguishable from human-written texts. While recent research has…

Computation and Language · Computer Science 2025-10-01 Sergio E. Zanotto , Segun Aroyehun

Large language models (LLMs) have demonstrated strong capabilities in text understanding and generation. However, they often lack factuality, producing a mixture of true and false information, especially in long-form generation. In this…

Computation and Language · Computer Science 2025-09-26 Lifu Tu , Rui Meng , Shafiq Joty , Yingbo Zhou , Semih Yavuz

In this article we present a model of human written text based on statistical mechanics approach by deriving the potential energy for different parts of the text using large text corpus. We have checked the results numerically and found…

Computation and Language · Computer Science 2008-10-21 K. Koroutchev , E. Korutcheva

Large Language Models (LLMs) that undergo recursive training on synthetically generated data are susceptible to model collapse, a phenomenon marked by the generation of meaningless output. Existing research has examined this issue from…

Computation and Language · Computer Science 2026-03-17 Konstantinos F. Xylogiannopoulos , Petros Xanthopoulos , Panagiotis Karampelas , Georgios A. Bakamitsos

This work focuses on the novel problem setting of generating graphs conditioned on a description of the graph's functional requirements in a downstream task. We pose the problem as a text-to-text generation problem and focus on the approach…

Machine Learning · Computer Science 2023-11-02 Peter A. Zachares , Vahan Hovhannisyan , Alan Mosca , Yarin Gal

As generated text becomes more commonplace, it is increasingly important to evaluate how well-supported such text is by external knowledge sources. Many approaches for evaluating textual support rely on some method for decomposing text into…

Computation and Language · Computer Science 2024-03-19 Miriam Wanner , Seth Ebner , Zhengping Jiang , Mark Dredze , Benjamin Van Durme

As language models such as GPT-3 become increasingly successful at generating realistic text, questions about what purely text-based modeling can learn about the world have become more urgent. Is text purely syntactic, as skeptics argue? Or…

Computation and Language · Computer Science 2020-12-03 Jonathan Scott Enderle

Generating synthetic variants of a document is often posed as text-to-text transformation. We propose an alternate LLM based method that first decomposes a document into semantic frames and then generates text using this interim sparse…

Computation and Language · Computer Science 2023-12-05 Natraj Raman , Sameena Shah

Certain density correlators, measurable via various experimental techniques, are studied in the context of the vulcanization transition. It is shown that these correlators contain essential information about both the vulcanization…

Disordered Systems and Neural Networks · Physics 2009-10-31 Weiqun Peng , Paul M. Goldbart

Existing large language models (LLMs) are known for generating "hallucinated" content, namely a fabricated text of plausibly looking, yet unfounded, facts. To identify when these hallucination scenarios occur, we examine the properties of…

Computation and Language · Computer Science 2023-09-06 Mohamed Akrout

The emergence of large language models (LLMs) has resulted in the production of LLM-generated texts that is highly sophisticated and almost indistinguishable from texts written by humans. However, this has also sparked concerns about the…

Computation and Language · Computer Science 2023-06-06 Ruixiang Tang , Yu-Neng Chuang , Xia Hu

In a physical system, changing parameters such as temperature can induce a phase transition: an abrupt change from one state of matter to another. Analogous phenomena have recently been observed in large language models. Typically, the task…

Machine Learning · Computer Science 2024-05-28 Julian Arnold , Flemming Holtorf , Frank Schäfer , Niels Lörch

We present an autonomous large language model (LLM) agent for end-to-end, data-driven materials theory development. The model can choose an equation form, generate and run its own code, and test how well the theory matches the data without…

Artificial Intelligence · Computer Science 2026-04-23 Samuel Onimpa Alfred , Veera Sundararaghavan

Large language models (LLMs) such as GPT, Claude, Gemini, and Grok have been deeply integrated into our daily life. They now support a wide range of tasks -- from dialogue and email drafting to assisting with teaching and coding, serving as…

Computation and Language · Computer Science 2026-01-13 Hongyi Zhou , Jin Zhu , Ying Yang , Chengchun Shi

Our understanding of the three basic states of matter (solids, liquids and gases) is based on temperature and pressure phase diagrams with three phase transition lines: solid-gas, liquid-gas and solid-liquid lines. There are analytical…

Soft Condensed Matter · Physics 2024-03-21 K. Trachenko
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