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Entropy: From Thermodynamics to Information Processing
Article

On Conditional Tsallis Entropy

by 1,2,3, 4,5,6,* and 7
1
CINTESIS—Centre for Health Technology and Services Research, Faculty of Medicine, University of Porto, 4200-450 Porto, Portugal
2
MEDCIDS—Department of Community Medicine, Information and Decision in Health, Faculty of Medicine, University of Porto, 4200-450 Porto, Portugal
3
ADiT-LAB, Instituto Politécnico de Viana do Castelo, Rua Escola Industrial e Comercial Nun’Álvares, 4900-347 Viana do Castelo, Portugal
4
LASIGE, Faculdade de Ciências da Universidade de Lisboa, Campo Grande, 1749-016 Lisboa, Portugal
5
Departamento de Informática, Faculdade de Ciências da Universidade de Lisboa, Campo Grande, 1749-016 Lisboa, Portugal
6
Instituto de Telecomunicações, Av. Rovisco Pais, n 1, 1049-001 Lisboa, Portugal
7
Computer Science Department, Faculty of Sciences, University of Porto, Rua do Campo Alegre, 4169-007 Porto, Portugal
*
Author to whom correspondence should be addressed.
Academic Editor: Philip Broadbridge
Entropy 2021, 23(11), 1427; https://doi.org/10.3390/e23111427
Received: 14 September 2021 / Revised: 21 October 2021 / Accepted: 27 October 2021 / Published: 29 October 2021
(This article belongs to the Special Issue Entropy: The Scientific Tool of the 21st Century)
There is no generally accepted definition for conditional Tsallis entropy. The standard definition of (unconditional) Tsallis entropy depends on a parameter α that converges to the Shannon entropy as α approaches 1. In this paper, we describe three proposed definitions of conditional Tsallis entropy suggested in the literature—their properties are studied and their values, as a function of α, are compared. We also consider another natural proposal for conditional Tsallis entropy and compare it with the existing ones. Lastly, we present an online tool to compute the four conditional Tsallis entropies, given the probability distributions and the value of the parameter α. View Full-Text
Keywords: Tsallis entropy; conditional Tsallis entropies; Generalizations of Shannon entropy Tsallis entropy; conditional Tsallis entropies; Generalizations of Shannon entropy
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MDPI and ACS Style

Teixeira, A.; Souto, A.; Antunes, L. On Conditional Tsallis Entropy. Entropy 2021, 23, 1427. https://doi.org/10.3390/e23111427

AMA Style

Teixeira A, Souto A, Antunes L. On Conditional Tsallis Entropy. Entropy. 2021; 23(11):1427. https://doi.org/10.3390/e23111427

Chicago/Turabian Style

Teixeira, Andreia, André Souto, and Luís Antunes. 2021. "On Conditional Tsallis Entropy" Entropy 23, no. 11: 1427. https://doi.org/10.3390/e23111427

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