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This research was funded by the Spanish Government-MinECo projects TEC2014-53390-P and TEC2017-84395-P.

Analysis of institutional authors

Valverde-Albacete, Francisco JAuthor

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Article

The Case for Shifting the Renyi Entropy

Publicated to:Entropy. 21 (1): E46- - 2019-01-01 21(1), DOI: 10.3390/e21010046

Authors: Valverde-Albacete, Francisco J; Pelaez-Moreno, Carmen

Affiliations

Univ Carlos III Madrid, Dept Signal Theory & Commun, Leganes 28911, Spain - Author

Abstract

We introduce a variant of the Renyi entropy definition that aligns it with the well-known Holder mean: in the new formulation, the r-th order Renyi Entropy is the logarithm of the inverse of the r-th order Holder mean. This brings about new insights into the relationship of the Renyi entropy to quantities close to it, like the information potential and the partition function of statistical mechanics. We also provide expressions that allow us to calculate the Renyi entropies from the Shannon cross-entropy and the escort probabilities. Finally, we discuss why shifting the Renyi entropy is fruitful in some applications.

Keywords

DiversityEscort distributionsGeneralized weighted meansHolder meansShannon-type relationsShifted renyi entropy

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Entropy due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2019, it was in position 33/85, thus managing to position itself as a Q2 (Segundo Cuartil), in the category Physics, Multidisciplinary. Notably, the journal is positioned en el Cuartil Q2 para la agencia Scopus (SJR) en la categoría Electrical and Electronic Engineering.

From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 4.76, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Jun 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-06-18, the following number of citations:

  • WoS: 11
  • Scopus: 13
  • Europe PMC: 3
  • OpenCitations: 14

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-06-18:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 9.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 9 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 4.25.
  • The number of mentions on the social network X (formerly Twitter): 3 (Altmetric).
  • The number of mentions on Wikipedia: 1 (Altmetric).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (Valverde Albacete, Francisco José) .