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In this paper we exploit concepts of information theory to address the fundamental problem of identifying and defining the most suitable tools to extract, in a automatic and agnostic way, information from a generic string of characters. We…

Statistical Mechanics · Physics 2009-11-10 Andrea Baronchelli , Emanuele Caglioti , Vittorio Loreto

This book presents a methodology and philosophy of empirical science based on large scale lossless data compression. In this view a theory is scientific if it can be used to build a data compression program, and it is valuable if it can…

Machine Learning · Computer Science 2011-04-29 Daniel Burfoot

The performance of deep learning in natural language processing has been spectacular, but the reasons for this success remain unclear because of the inherent complexity of deep learning. This paper provides empirical evidence of its…

Computation and Language · Computer Science 2018-02-07 Shuntaro Takahashi , Kumiko Tanaka-Ishii

Significant fraction (98.5% in humans) of most animal genomes is non- coding dark matter. Its largely unknown function (1-5) is related to programming (rather than to spontaneous mutations) of accurate adaptation to rapidly changing…

Genomics · Quantitative Biology 2007-08-02 Mark Ya. Azbel

The length of coding sequence series in microbial genomes were regarded as a fluctuating system and characterized by the methods of statistical physics. The distribution and the correlatin properties of 50 genomes including bacteria and…

Genomics · Quantitative Biology 2008-05-29 V. V. Morariu

Recent studies have investigated siamese network architectures for learning invariant speech representations using same-different side information at the word level. Here we investigate systematically an often ignored component of siamese…

Computation and Language · Computer Science 2018-08-24 Rachid Riad , Corentin Dancette , Julien Karadayi , Neil Zeghidour , Thomas Schatz , Emmanuel Dupoux

In essence, the two tagging methods (direct tagging and tagging with sentences compression) are to tag the information we need by using regular expression which basing on the inherent language patterns of the natural language. Though it has…

Computation and Language · Computer Science 2018-10-08 Peihui Chen

Zipf's law describes the empirical size distribution of the components of many systems in natural and social sciences and humanities. We show, by solving a statistical model, that Zipf's law co-occurs with the maximization of the diversity…

Statistical Mechanics · Physics 2021-10-05 Onofrio Mazzarisi , Amanda de Azevedo-Lopes , Jeferson J. Arenzon , Federico Corberi

Traditionally, data compression deals with the problem of concisely representing a data source, e.g. a sequence of letters, for the purpose of eventual reproduction (either exact or approximate). In this work we are interested in the case…

Information Theory · Computer Science 2013-12-10 Amir Ingber , Tsachy Weissman

The "Law of the Minimum" states that growth is controlled by the scarcest resource (limiting factor). This concept was originally applied to plant or crop growth (Justus von Liebig, 1840) and quantitatively supported by many experiments.…

Populations and Evolution · Quantitative Biology 2019-11-19 A. N. Gorban , L. I. Pokidysheva , E. V. Smirnova , T. A. Tyukina

The interaction of all mobile species with their environment hinges on their movement patterns: the places they visit and how frequently they go there. In human society, where the prevalent form of cohabitation is in cities, the highly…

Physics and Society · Physics 2020-02-17 Markus Schläpfer , Michael Szell , Hadrien Salat , Carlo Ratti , Geoffrey B. West

We consider the problem of the evolution of a code within a structured population of agents. The agents try to maximise their information about their environment by acquiring information from the outputs of other agents in the population. A…

Multiagent Systems · Computer Science 2015-05-18 Andres C. Burgos , Daniel Polani

A pervasive belief with regard to the differences between human language and animal vocal sequences (song) is that they belong to different classes of computational complexity, with animal song belonging to regular languages, whereas human…

Neurons and Cognition · Quantitative Biology 2020-11-03 Takashi Morita , Hiroki Koda

Background: Zipf's discovery that word frequency distributions obey a power law established parallels between biological and physical processes, and language, laying the groundwork for a complex systems perspective on human communication.…

Computation and Language · Computer Science 2009-11-11 Eduardo G. Altmann , Janet B. Pierrehumbert , Adilson E. Motter

Chain-of-thought prompting has emerged as a powerful technique for enabling large language models (LLMs) to solve complex reasoning tasks. However, these reasoning chains can be verbose, raising concerns about efficiency. In response,…

Computation and Language · Computer Science 2025-04-02 Ayeong Lee , Ethan Che , Tianyi Peng

The task of text segmentation may be undertaken at many levels in text analysis---paragraphs, sentences, words, or even letters. Here, we focus on a relatively fine scale of segmentation, hypothesizing it to be in accord with a stochastic…

For a language model (LM) to faithfully model human language, it must compress vast, potentially infinite information into relatively few dimensions. We propose analyzing compression in (pre-trained) LMs from two points of view: geometric…

Computation and Language · Computer Science 2023-11-10 Emily Cheng , Corentin Kervadec , Marco Baroni

The mammalian brain is a metabolically expensive device, and evolutionary pressures have presumably driven it to make productive use of its resources. For sensory areas, this concept has been expressed more formally as an optimality…

Neurons and Cognition · Quantitative Biology 2016-03-02 Deep Ganguli , Eero P. Simoncelli

We analyze the occurrence frequencies of over 15 million words recorded in millions of books published during the past two centuries in seven different languages. For all languages and chronological subsets of the data we confirm that two…

Physics and Society · Physics 2012-12-12 Alexander M. Petersen , Joel N. Tenenbaum , Shlomo Havlin , H. Eugene Stanley , Matjaz Perc

Synapses are information efficient in the sense that their natural conductance values convey as many bits per Joule as possible, but efficiency falls rapidly if the conductance is forced to deviate from its natural value (Harris et al,…

Neurons and Cognition · Quantitative Biology 2026-05-19 James V Stone