Special Issue "Advances in Symmetric Tensor Decomposition Methods"

A special issue of Symmetry (ISSN 2073-8994).

Deadline for manuscript submissions: 31 July 2020.

Special Issue Editor

Prof. Rafał Zdunek
E-Mail Website
Guest Editor
Wroclaw University of Technology, Wybrzeze Wyspianskiego 27, 50-370 Wroclaw, Poland

Special Issue Information

Dear Colleagues,

Multi-way arrays (tensors) that demonstrate symmetry in all or selected modes can be found in a wide range of engineering and industrial applications, especially in signal processing, mobile communication, data mining, biomedical engineering, psychometrics, and chemometrics. Various tensor decomposition models and optimization algorithms have been developed to process such tensors, pursing a variety of goals such as dimensionality reduction, and feature extraction.

The aim of this Special Issue of Symmetry is to present the latest advances and possible future directions in the subarea of tensor decompositions that are related to various symmetry aspects. Such a relationship could be interpreted in a wide sense, for example, as the symmetry imposed onto models, in particular symmetric, near-symmetric, skew-symmetric, and semi-symmetric tensor decompositions; symmetric structures and architectures of tensor networks; or numerical algorithms that are addressed for updating these factors in such models. Topics concerning related problems, such as rank estimation or initialization procedures for this class of methods, also fall into the scope of this Special Issue. Submissions addressing the challenges faced in the application of such methods are warmly welcomed.

Prof. Rafał Zdunek
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • symmetric, skew-symmetric, and semi-symmetric tensor decomposition models
  • symmetry in tensor networks
  • low-rank symmetric tensors
  • rank estimation methods
  • optimization methods for processing symmetric tensors
  • applications of symmetry-involving tensor decomposition methods

Published Papers (1 paper)

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Research

Open AccessFeature PaperArticle
Non-Degeneracy of 2-Forms and Pfaffian
Symmetry 2020, 12(2), 280; https://doi.org/10.3390/sym12020280 (registering DOI) - 13 Feb 2020
Abstract
In this article, we study the non-degeneracy of 2-forms (skew symmetric ( 0 , 2 ) -tensor) α along the Pfaffian of α . We consider a symplectic vector space V with a non-degenerate skew symmetric ( 0 , 2 ) -tensor ω [...] Read more.
In this article, we study the non-degeneracy of 2-forms (skew symmetric ( 0 , 2 ) -tensor) α along the Pfaffian of α . We consider a symplectic vector space V with a non-degenerate skew symmetric ( 0 , 2 ) -tensor ω , and derive various properties of the Pfaffian of α . As an application we show the non-degenerate skew symmetric ( 0 , 2 ) -tensor ω has a property of rigidity that it is determined by its exterior power. Full article
(This article belongs to the Special Issue Advances in Symmetric Tensor Decomposition Methods)
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