{rfName}

Indexed in

License and Use

Icono OpenAccess

Altmetrics

Impact on the Sustainable Development Goals (SDGs)

Analysis of institutional authors

Coin Castro, AntonioAuthorBerrendero, José R.AuthorCuevas, AntonioAuthor

Share

September 8, 2025
Publications
>
Article
Diamond

A Bayesian Approach to Functional Regression: Theory and Computation

Publicated to: Bayesian Analysis. -1 (-1): 1-31 - 2025-09-05 -1(-1), DOI: 10.1214/25-ba1549

Authors:

José R. Berrendero; Antonio Coín; Antonio Cuevas
[+]

Affiliations

Departamento de Matematicas, Universidad Autonoma de Madrid - Author

Abstract

We propose a novel Bayesian methodology for inference in functional linear and logistic regression models based on the theory of reproducing kernel Hilbert spaces (RKHS’s). We introduce general models that build upon the RKHS generated by the covariance function of the underlying stochastic process, and whose formulation includes as particular cases all finite-dimensional models based on linear combinations of marginals of the process, which can collectively be seen as a dense subspace made of simple approximations. By imposing a suitable prior distribution on this dense functional space we can perform data-driven inference via standard Bayes methodology, estimating the posterior distribution through reversible jump Markov chain Monte Carlo (RJMCMC). In this context, our contribution is two-fold. First, we derive theoretical results that guarantee strong posterior consistency and contraction at an optimal rate under mild conditions. Second, we show that several prediction strategies stemming from our Bayesian procedure are competitive against other usual alternatives in both simulations and real data sets, including a Bayesian-motivated variable selection method.
[+]

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Bayesian Analysis 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, 2025, it was in position 21/169, thus managing to position itself as a Q1 (Primer Cuartil), in the category Statistics & Probability.

[+]

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 2026-04-02:

  • 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: 3.
  • 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: 3 (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: 2.
  • The number of mentions on the social network X (formerly Twitter): 3 (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.
  • Additionally, the work has been submitted to a journal classified as Diamond in relation to this type of editorial policy.
Continuing with the social impact of the work, it is important to emphasize that, due to its content, it can be assigned to the area of interest of ODS 10 - Reduce inequality within and among countries, with a probability of 50% according to the mBERT algorithm developed by Aurora University.
[+]

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 (BERRENDERO DIAZ, JOSE RAMON) and Last Author (CUEVAS GONZALEZ, ANTONIO).

[+]

Contextual narrative


[+]