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Most people agree that human activities are consistent with physical laws. One may naturally think that sensible economic theories can be derived from physical laws and evolutionary principles. This is indeed the case. In this paper, we…

Physics and Society · Physics 2009-01-21 Jing Chen , James K. Galbraith

We propose an information-theoretic framework to measure narratives, providing a formalism to understand pivotal moments, cliffhangers, and plot twists. This approach offers creatives and AI researchers tools to analyse and benchmark human-…

Multimedia · Computer Science 2024-11-21 Lion Schulz , Miguel Patrício , Daan Odijk

The general theory of the branching processes is used for establishing the relation between the parameters $k$ and $\bar n$ of the negative binomial distribution. This relation gives the possibility to describe the overall data on…

High Energy Physics - Phenomenology · Physics 2009-10-22 S. G. Matinyan , E. B. Prokhorenko

Information theory is an outstanding framework to measure uncertainty, dependence and relevance in data and systems. It has several desirable properties for real world applications: it naturally deals with multivariate data, it can handle…

Machine Learning · Statistics 2024-10-30 Valero Laparra , J. Emmanuel Johnson , Gustau Camps-Valls , Raul Santos-Rodríguez , Jesus Malo

Even today, the concept of entropy is perceived by many as quite obscure. The main difficulty is analyzed as being fundamentally due to the subjectivity and anthropocentrism of the concept that prevent us to have a sufficient distance to…

General Physics · Physics 2022-10-21 Didier Lairez

One of the greatest research challenges of this century is to understand the neural basis for how behavior emerges in brain-body-environment systems. To this end, research has flourished along several directions but have predominantly…

Neurons and Cognition · Quantitative Biology 2021-06-10 Madhavun Candadai

At the 2023 Les Houches Summer School on Theoretical Biological Physics, several students asked for some background on information theory, and so we added a tutorial to the scheduled lectures. This is largely a transcript of that tutorial,…

Biological Physics · Physics 2024-09-25 Tarek Tohme , William Bialek

The possibilities of unlike particle correlations for a study of the space-time asymmetries in particle production, including the sequence of particle emission, are demonstrated.

Nuclear Theory · Physics 2007-05-23 R. Lednicky

This work proposes an algebraic model for classical information theory. We first give an algebraic model of probability theory. Information theoretic constructs are based on this model. In addition to theoretical insights provided by our…

Information Theory · Computer Science 2010-06-03 Manas K Patra , Samuel L Braunstein

An algebraic formalism for the study of interacting particle systems is developed. Particle processes are described in terms of the category theory. The problem for the unique description of these processes is discussed. Categories relevant…

Quantum Algebra · Mathematics 2007-05-23 Wladyslaw Marcinek

The study of the singularities and zeros of the generating functions of multiplicity distributions is advocated. Some hints from well known probability distributions and experimental data are given. The statistical mechanics analogies…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. M. Dremin

Simulations offer opportunities in the examination of manufacturing processes. They represent various aspects of the production process and the associated production systems. However, often a single simulation does not suffice to provide a…

Software Engineering · Computer Science 2024-11-26 Jonathan Reif , Tom Jeleniewski , Aljosha Köcher , Tim Frerich , Felix Gehlhoff , Alexander Fay

This paper presents an information theoretic approach to the concept of intelligence in the computational sense. We introduce a probabilistic framework from which computational intelligence is shown to be an entropy minimizing process at…

Artificial Intelligence · Computer Science 2014-12-30 Daniel Kovach

Many complex systems can be represented as networks composed by distinct layers, interacting and depending on each others. For example, in biology, a good description of the full protein-protein interactome requires, for some organisms, up…

Physics and Society · Physics 2015-04-24 M. De Domenico , V. Nicosia , A. Arenas , V. Latora

A rewiew of the development of formalism to describe correlations and fluctuations in multiparticle production is presented. The milestones of history of this development and some obvious sources of correlations in experimental data are…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Fialkowski

This is the draft version of a textbook, which aims to introduce the quantum information science viewpoints on condensed matter physics to graduate students in physics (or interested researchers). We keep the writing in a self-consistent…

Strongly Correlated Electrons · Physics 2018-02-27 Bei Zeng , Xie Chen , Duan-Lu Zhou , Xiao-Gang Wen

Ensuring the usefulness of electronic data sources while providing necessary privacy guarantees is an important unsolved problem. This problem drives the need for an overarching analytical framework that can quantify the safety of…

Information Theory · Computer Science 2010-10-04 Lalitha Sankar , S. Raj Rajagopalan , H. Vincent Poor

In this paper, we will expound upon the concepts proffered in [1], where we proposed an information theoretic approach to intelligence in the computational sense. We will examine data and meme aggregation, and study the effect of limited…

Artificial Intelligence · Computer Science 2015-03-27 Daniel Kovach

Integrated Information Theory (IIT) has emerged as one of the leading research lines in computational neuroscience to provide a mechanistic and mathematically well-defined description of the neural correlates of consciousness. Integrated…

Quantum Physics · Physics 2018-12-11 Paolo Zanardi , Michael Tomka , Lorenzo Campos Venuti

Shannon based his information theory on the notion of probability measures as it we developed by Kolmogorov. In this paper we study some fundamental problems in information theory based on expectation measures. In the theory of expectation…

Information Theory · Computer Science 2025-01-30 Peter Harremoës