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Grant support

This work was partially supported by the Spanish Ministry of Science and Innovation (MCINN) via a doctoral grant to the first author (FPU014/04818), the Spanish Ministry of Economy and Competitiveness (MINECO) through the Cajal Blue Brain (C080020-09; the Spanish partner of the Blue Brain initiative from EPFL) and TIN2013-41592-P projects, by the Regional Government of Madrid through the S2013/ICE-2845-CASI-CAM-CM project, and by the European Union's Seventh Framework Programme (FP7/2007-2013) under grant agreement no. 604102 (Human Brain Project).

Analysis of institutional authors

Rodriguez-Lujan, LuisCorresponding AuthorLarranaga, PedroAuthorBielza, ConchaAuthor

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Article

Frobenius Norm Regularization for the Multivariate Von Mises Distribution

Publicated to:International Journal Of Intelligent Systems. 32 (2): 153-176 - 2017-02-01 32(2), DOI: 10.1002/int.21834

Authors: Rodriguez-Lujan, L; Larrañaga, P; Bielza, C

Affiliations

Univ Politecn Madrid, Dept Inteligencia Artificial, Computat Intelligence Grp, Madrid, Spain - Author

Abstract

Penalizing the model complexity is necessary to avoid overfitting when the number of data samples is low with respect to the number of model parameters. In this paper, we introduce a penalization term that places an independent prior distribution for each parameter of the multivariate von Mises distribution. We also propose a circular distance that can be used to estimate the Kullback-Leibler divergence between any two circular distributions as goodness-of-fit measure. We compare the resulting regularized von Mises models on synthetic data and real neuroanatomical data to show that the distribution fitted using the penalized estimator generally achieves better results than nonpenalized multivariate von Mises estimator. (C) 2016 Wiley Periodicals, Inc.

Keywords

BioinformaticsCortexDirectional-dataModel

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal International Journal Of Intelligent Systems 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, 2017, it was in position 25/132, thus managing to position itself as a Q1 (Primer Cuartil), in the category Computer Science, Artificial Intelligence.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-06-17:

  • Google Scholar: 3
  • WoS: 4
  • Scopus: 3
  • OpenCitations: 3

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 2025-06-17:

  • 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: 7 (PlumX).

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 (RODRIGUEZ LUJAN, LUIS) and Last Author (BIELZA LOZOYA, MARIA CONCEPCION).

the author responsible for correspondence tasks has been RODRIGUEZ LUJAN, LUIS.