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We develop a new thermodynamic approach to stochastic graph-rewriting. The ingredients are a finite set of reversible graph-rewriting rules called generating rules, a finite set of connected graphs P called energy patterns and an energy…

Logic in Computer Science · Computer Science 2017-01-11 Vincent Danos , Russell Harmer , Ricardo Honorato-Zimmer

We discuss several ways of illustrating fundamental concepts in statistical and thermal physics by considering various models and algorithms. We emphasize the importance of replacing students' incomplete mental images by models that are…

Physics Education · Physics 2009-11-13 Jan Tobochnik , Harvey Gould

The Thermodynamic Formalism provides a rigorous mathematical framework to study quantitative and qualitative aspects of dynamical systems. At its core there is a variational principle corresponding, in its simplest form, to the Maximum…

Neurons and Cognition · Quantitative Biology 2020-12-30 Rodrigo Cofré , Cesar Maldonado , Bruno Cessac

Large language models (LLMs) achieve impressive results in terms of fluency in text generation, yet the nature of their linguistic knowledge - in particular the human-likeness of their internal lexicon - remains uncertain. This study…

Computation and Language · Computer Science 2026-03-20 Maria Andueza Rodriguez , Marie Candito , Richard Huyghe

This topical review article gives an overview of the interplay between quantum information theory and thermodynamics of quantum systems. We focus on several trending topics including the foundations of statistical mechanics, resource…

Quantum Physics · Physics 2016-08-29 John Goold , Marcus Huber , Arnau Riera , Lídia del Rio , Paul Skrzypczyk

Many computational linguistic methods have been proposed to study the information content of languages. We consider two interesting research questions: 1) how is information distributed over long documents, and 2) how does content…

Computation and Language · Computer Science 2023-09-13 Shaoxiong Ji , Wei Sun , Pekka Marttinen

The scale invariance of natural images suggests an analogy to the statistical mechanics of physical systems at a critical point. Here we examine the distribution of pixels in small image patches and show how to construct the corresponding…

Neurons and Cognition · Quantitative Biology 2013-05-30 Greg J Stephens , Thierry Mora , Gasper Tkacik , William Bialek

Thermoelectric materials provide a sustainable way to convert waste heat into electricity. However, data-driven discovery and optimization of these materials are challenging because of a lack of a reliable database. Here we developed a…

Materials Science · Physics 2025-01-03 Suman Itani , Yibo Zhang , Jiadong Zang

In this paper we address the following problem in web document and information retrieval (IR): How can we use long-term context information to gain better IR performance? Unlike common IR methods that use bag of words representation for…

Information Retrieval · Computer Science 2015-03-02 H. Palangi , L. Deng , Y. Shen , J. Gao , X. He , J. Chen , X. Song , R. Ward

We obtain generalizations of the Kelvin-Planck, Clausius, and Carnot statements of the second law of thermodynamics, for situations involving information processing. To this end, we consider an information reservoir (representing, e.g. a…

Statistical Mechanics · Physics 2013-10-21 Sebastian Deffner , Christopher Jarzynski

In this paper, we propose the Continuous Time Fractional Topic Model (cFTM), a new method for dynamic topic modeling. This approach incorporates fractional Brownian motion~(fBm) to effectively identify positive or negative correlations in…

Computation and Language · Computer Science 2024-02-08 Kei Nakagawa , Kohei Hayashi , Yugo Fujimoto

The traditional approach to morphological inflection (the task of modifying a base word (lemma) to express grammatical categories) has been, for decades, to consider lexical entries of lemma-tag-form triples uniformly, lacking any…

Computation and Language · Computer Science 2025-10-28 Tomáš Sourada , Jana Straková

Beyond neural scaling laws, little is known about the laws underlying large language models (LLMs). We introduce Neural Thermodynamic Laws (NTL) -- a new framework that offers fresh insights into LLM training dynamics. On the theoretical…

Machine Learning · Computer Science 2025-05-16 Ziming Liu , Yizhou Liu , Jeff Gore , Max Tegmark

In this paper, I introduce a simple method of computing relative word frequencies for authorship attribution and similar stylometric tasks. Rather than computing relative frequencies as the number of occurrences of a given word divided by…

Computation and Language · Computer Science 2023-03-30 Maciej Eder

This paper introduces a new statistical approach to partitioning text automatically into coherent segments. Our approach enlists both short-range and long-range language models to help it sniff out likely sites of topic changes in text. To…

cmp-lg · Computer Science 2008-02-03 Doug Beeferman , Adam Berger , John Lafferty

The stochastic efficiency of effusion as a thermal engine is investigated within the framework of stochastic thermodynamics. Explicit results are obtained for the probability distribution of the efficiency both at finite times and in the…

Statistical Mechanics · Physics 2015-02-10 Karel Proesmans , Bart Cleuren , Christian Van Den Broeck

The Chapter starts with introductory information about quantitative linguistics notions, like rank--frequency dependence, Zipf's law, frequency spectra, etc. Similarities in distributions of words in texts with level occupation in quantum…

Data Analysis, Statistics and Probability · Physics 2024-01-04 Andrij Rovenchak

Automatic summarization is the process of reducing a text document in order to generate a summary that retains the most important points of the original document. In this work, we study two problems - i) summarizing a text document as set…

Information Retrieval · Computer Science 2024-06-04 Jayaprakash Sundararaj

We generalize stochastic thermodynamics to include information reservoirs. Such information reservoirs, which can be modeled as a sequence of bits, modify the second law. For example, work extraction from a system in contact with a single…

Statistical Mechanics · Physics 2014-11-17 Andre C. Barato , Udo Seifert

In this work we study the recently developed parametrized partition function formulation and show how we can infer the thermodynamic properties of fermions based on numerical simulation of bosons and distinguishable particles at various…

Quantum Gases · Physics 2023-06-07 Yunuo Xiong , Hongwei Xiong
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