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The Connection between Logical and Thermodynamic Irreversibility [PDF]

open access: yes, 2006
There has recently been a good deal of controversy about Landauer's Principle, which is often stated as follows: The erasure of one bit of information in a computational device is necessarily accompanied by a generation of kTln2 heat.
Ladyman, JAC   +11 more
core   +1 more source

Entropy-Based Logic Explanations of Neural Networks

open access: yesProceedings of the AAAI Conference on Artificial Intelligence, 2022
Explainable artificial intelligence has rapidly emerged since lawmakers have started requiring interpretable models for safety-critical domains. Concept-based neural networks have arisen as explainable-by-design methods as they leverage human-understandable symbols (i.e. concepts) to predict class memberships. However, most of these approaches focus on
Barbiero, Pietro   +5 more
openaire   +9 more sources

Entropy of pure states: not all wave functions are born equal

open access: yes4 open, 2022
Many-body Hilbert space has the algebraic structure of a finitely generated free module. All N-body wave functions in d dimensions can be generated by a finite number of N!d − 1 of generators called shapes, with symmetric-function coefficients ...
Sunko Denis K.
doaj   +1 more source

Logical Entropy for Quantum States

open access: yesCoRR, 2014
6 pages, v.2 contains some minor corrections and additional ...
Boaz Tamir, Eliahu Cohen
openaire   +3 more sources

Logical entropy of dynamical systems in product MV-algebras and general scheme

open access: yesAdvances in Difference Equations, 2019
The present paper is aimed at studying the entropy of dynamical systems in product MV-algebras. First, by using the concept of logical entropy of a partition in a product MV-algebra introduced and studied by Markechová et al.
Dagmar Markechová, Beloslav Riečan
doaj   +1 more source

AN INTRODUCTION TO LOGICAL ENTROPY AND ITS RELATION TO SHANNON ENTROPY [PDF]

open access: yesInternational Journal of Semantic Computing, 2013
The logical basis for information theory is the newly developed logic of partitions that is dual to the usual Boolean logic of subsets. The key concept is a "distinction" of a partition, an ordered pair of elements in distinct blocks of the partition. The logical concept of entropy based on partition logic is the normalized counting measure of the set
openaire   +2 more sources

Social Entropy and Normative Network

open access: yesEntropy, 2020
The paper introduces a new concept of social entropy and a new concept of social order, both based on the normative framework of society. From these two concepts, typologies (logical and historical) of societies are inferred and examined in their basic ...
Emil Dinga   +2 more
doaj   +1 more source

Evaluating Ontology Modules Using an Entropy Inspired Metric

open access: yes, 2008
The focus of ontology modularization to date has largely been on the creation of techniques to carry out ontology modularization. This creates a problem in evaluating the results of the different techniques.
Iannone, Luigi   +4 more
core   +2 more sources

A New Insight into Entropy Based on the Fuzzy Operators, Applied to Useful Information Extraction from Noisy Time-Frequency Distributions

open access: yesMathematics, 2023
In this paper, we study the connections between generalized mean operators and entropies, where the mean value operators are related to the strictly monotone logical operators of fuzzy theory. Here, we propose a new entropy measure based on the family of
József Dombi   +2 more
doaj   +1 more source

Introduction to Quantum Logical Information Theory: Talk

open access: yesEPJ Web of Conferences, 2018
Logical information theory is the quantitative version of the logic of partitions just as logical probability theory is the quantitative version of the dual Boolean logic of subsets. The resulting notion of information is about distinctions, differences,
Ellerman David
doaj   +1 more source

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