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Grammar compression is a general compression framework in which a string $T$ of length $N$ is represented as a context-free grammar of size $n$ whose language contains only $T$. In this paper, we focus on studying the limitations of…

Data Structures and Algorithms · Computer Science 2024-09-24 Rajat De , Dominik Kempa

Weber's law is one of the basic laws in psychophysics, but the link between this psychophysical behavior and the neuronal response has not yet been established. In this paper, we carried out an analysis on the spike train statistics when…

Neurons and Cognition · Quantitative Biology 2012-03-06 Jing Kang , Jianhua Wu , Anteo Smerieri , Jianfeng Feng

One of the fundamental problems in biology concerns the method by which a cluster of organisms can regulate the proportion of individuals that perform various roles or modes as if each individual knows a whole situation without a leader. A…

Adaptation and Self-Organizing Systems · Physics 2015-12-21 Mayuko Iwamoto , Daishin Ueyama

Although most theories posit that natural behavior can be explained as maximizing some form of extrinsic reward, often called utility, some behaviors appear to be reward independent. For instance, spontaneous motor babbling in human…

Neurons and Cognition · Quantitative Biology 2026-01-16 Rubén Moreno-Bote , Ralf Haefner , Jordi Galiano-Landeira , Tianming Yang , Pedro Maldonado

Quantifying regularities in behavioral dynamics is of crucial interest for understanding collective social events such as panics or political revolutions. With the widespread use of digital communication media it has become possible to…

Physics and Society · Physics 2014-02-28 Michael Szell , Sebastian Grauwin , Carlo Ratti

Linguistic laws constitute one of the quantitative cornerstones of modern cognitive sciences and have been routinely investigated in written corpora, or in the equivalent transcription of oral corpora. This means that inferences of…

Physics and Society · Physics 2016-10-11 Ivan Gonzalez Torre , Bartolo Luque , Lucas Lacasa , Jordi Luque , Antoni Hernandez-Fernandez

Biological and living systems process information across spatiotemporal scales, exhibiting the hallmark ability to constantly modulate their behavior to ever-changing and complex environments. In the presence of repeated stimuli, a…

Statistical Mechanics · Physics 2025-02-04 Giorgio Nicoletti , Matteo Bruzzone , Samir Suweis , Marco Dal Maschio , Daniel Maria Busiello

Coding, which targets compressing and reconstructing data, and intelligence, often regarded at an abstract computational level as being centered around model learning and prediction, interweave recently to give birth to a series of…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Wenhan Yang , Zixuan Hu , Lilang Lin , Jiaying Liu , Ling-Yu Duan

Demographic data and recent experiments verify earlier predictions that mortality has short (few percent of the life span) memory of the previous life history, may be significantly decreased, reset to its value at a much younger age, and…

Quantitative Methods · Quantitative Biology 2007-05-23 Mark Ya. Azbel'

The Principle of Least Action has evolved and established itself as the most basic law of physics. This allows us to see how this fundamental law of nature determines the development of the system towards states with less action, i.e.,…

Adaptation and Self-Organizing Systems · Physics 2012-10-08 Atanu Bikash Chatterjee

Given a sequence composed of a limit number of characters, we try to "read" it as a "text". This involves to segment the sequence into "words". The difficulty is to distinguish good segmentation from enormous number of random ones.Aiming at…

Biological Physics · Physics 2009-11-06 Bin Wang

In recent studies [1][13][12] Recurrent Neural Networks were used for generative processes and their surprising performance can be explained by their ability to create good predictions. In addition, data compression is also based on…

Computation and Language · Computer Science 2017-05-03 Juan Andrés Laura , Gabriel Masi , Luis Argerich

The frequency distributions of DNA k-mers are shaped by fundamental biological processes and offer a window into genome structure and evolution. Inspired by analogies to natural language, prior studies have attempted to model genomic k-mer…

Learning is a distinctive feature of intelligent behaviour. High-throughput experimental data and Big Data promise to open new windows on complex systems such as cells, the brain or our societies. Yet, the puzzling success of Artificial…

Machine Learning · Computer Science 2022-05-04 Matteo Marsili , Yasser Roudi

Well protected human and laboratory animal populations with abundant resources are evolutionary unprecedented, and their survival far beyond reproductive age may be a byproduct rather than tool of evolution. Physical approach, which takes…

Populations and Evolution · Quantitative Biology 2015-06-26 Mark Ya. Azbel'

The ability to flexibly compose previously acquired skills to execute intelligent behaviors is a hallmark of natural intelligence. Such compositional flexibility is often attributed to context-dependent gating mechanisms that determine how…

Optimization and Control · Mathematics 2026-05-18 Francesca Rossi , Veronica Centorrino , Francesco Bullo , Giovanni Russo

By determining which were the most common English words and phrases since the beginning of the 16th century, we obtain a unique large-scale view of the evolution of written text. We find that the most common words and phrases in any given…

Physics and Society · Physics 2012-12-10 Matjaz Perc

It is traditionally assumed that Zipf's law implies the power-law growth of the number of different elements with the total number of elements in a system - the so-called Heaps' law. We show that a careful definition of Zipf's law leads to…

Physics and Society · Physics 2015-06-17 Francesc Font-Clos , Alvaro Corral

This paper addresses the challenge of modeling human reasoning, within a new framework called Cognitive Argumentation. This framework rests on the assumption that human logical reasoning is inherently a process of dialectic argumentation…

Artificial Intelligence · Computer Science 2020-02-25 Emmanuelle-Anna Dietz Saldanha , Antonis Kakas

We inspect the deductive connection between the neural scaling law and Zipf's law -- two statements discussed in machine learning and quantitative linguistics. The neural scaling law describes how the cross entropy rate of a foundation…

Information Theory · Computer Science 2025-12-23 Łukasz Dębowski
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