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Related papers: Energy, Entropy, Information, and Intelligence

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There is no agreed definition of intelligence, so it is problematic to simply ask whether brains, swarms, computers, or other systems are intelligent or not. To compare the potential intelligence exhibited by different cognitive systems, I…

Artificial Intelligence · Computer Science 2021-08-12 Carlos Gershenson

This paper briefly discusses some questions with analytical and topological aspects, with hopefully some useful references on both sides.

Classical Analysis and ODEs · Mathematics 2007-05-23 Stephen Semmes

Given the constant rise in quantity and quality of data obtained from neural systems on many scales ranging from molecular to systems', information-theoretic analyses became increasingly necessary during the past few decades in the…

Information Theory · Computer Science 2013-10-08 Felix Effenberger

We present a brief introduction to analytic capacity, with an emphasis on its numerical computation. We also discuss several related open problems.

Complex Variables · Mathematics 2017-05-09 Malik Younsi

The importance of low power consumption is widely acknowledged due to the increasing use of portable devices, which require minimizing the consumption of energy. The energy in a computational system depends heavily on the software being…

Adaptation and Self-Organizing Systems · Physics 2024-04-15 Kostas Zotos , Andreas Litke , Alexander Chatzigeorgiou , Spyros Nikolaidis , George Stephanides

This article serves as a brief introduction to the Shannon information theory. Concepts of information, Shannon entropy and channel capacity are mainly covered. All these concepts are developed in a totally combinatorial flavor. Some issues…

Information Theory · Computer Science 2021-04-26 Ricky X. F. Chen

A unified combinatorial definition of the information content and entropy of different types of patterns, compatible with the traditional concepts of information and entropy, going beyond the limitations of Shannon information interpretable…

Information Theory · Computer Science 2025-01-22 Zsolt Pocze

We address the problems of estimating the computer efficiency and the computer capacity. We define the computer efficiency and capacity and suggest a method for their estimation, based on the analysis of processor instructions and kinds of…

Information Theory · Computer Science 2010-03-19 Boris Ryabko

Despite the wide usage of information as a concept in science, we have yet to develop a clear & concise scientific definition. This paper is aimed at laying the foundations for a new theory concerning the mechanics of information alongside…

General Physics · Physics 2017-07-13 Kiyam Lin , SongLing Lin

People employ their knowledge to recognize things. This paper is concerned with how to measure people's knowledge for recognition and how it changes. The discussion is based on three assumptions. Firstly, we construct two evolution process…

Theoretical Economics · Economics 2018-11-16 Fujun Hou

The paper serves as the first contribution towards the development of the theory of efficiency: a unifying framework for the currently disjoint theories of information, complexity, communication and computation. Realizing the defining…

Computational Complexity · Computer Science 2016-10-26 Roman V. Yampolskiy

This paper proposes a specific conceptualization of intelligence as computation. This conceptualization is intended to provide a unified view for all disciplines of intelligence research. Already, it unifies several conceptualizations…

Artificial Intelligence · Computer Science 2024-05-28 Oliver Brock

Intelligence is a difficult concept to define, despite many attempts at doing so. Rather than trying to settle on a single definition, this article introduces a broad perspective on what intelligence is, by laying out a cascade of…

Artificial Intelligence · Computer Science 2023-06-21 Paul S. Rosenbloom

Multiscale thermodynamics is a theory of relations among levels of description. Energy and entropy are its two main ingredients. Their roles in the time evolution describing approach of a level (starting level) to another level involving…

Statistical Mechanics · Physics 2024-02-26 Miroslav Grmela

In this paper, we investigate how to measure the intelligence of systems under specific structures. Two indicators are adopted to characterize the intelligence of a given structure, namely the function diversity of the structure, and the…

Adaptation and Self-Organizing Systems · Physics 2022-08-23 Wei Su

The concept of entropy in nonequilibrium macroscopic systems is investigated in the light of an extended equation of motion for the density matrix obtained in a previous study. It is found that a time-dependent information entropy can be…

Statistical Mechanics · Physics 2009-11-10 W. T. Grandy

We consider in this paper the problem of computing the entropy of a braid. We recall its definition and construct, for each braid, a sequence of real numbers, whose limit is its entropy. We state one conjecture about the convergence speed,…

Dynamical Systems · Mathematics 2009-09-29 Jacques-Olivier Moussafir

This paper is organized into four chapters. The first chapter observes how decoupling labor from ownership of the output produced by that labor is equivalent to building an engine that is incentivized to generate the maximum energy output,…

Physics and Society · Physics 2023-01-18 Stephen Casey

A definition of entropy via the Kolmogorov algorithmic complexity is discussed. As examples, we show how the meanfield theory for the Ising model, and the entropy of a perfect gas can be recovered. The connection with computations are…

Statistical Mechanics · Physics 2007-05-23 Somendra M. Bhattacharjee

This paper provides a perspective on applying the concepts of information thermodynamics, developed recently in non-equilibrium statistical physics, to problems in theoretical neuroscience. Historically, information and energy in…

Neurons and Cognition · Quantitative Biology 2024-09-27 Jan Karbowski