Tensor Decompositions and Tensor Networks: New Methods and Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".

Deadline for manuscript submissions: closed (7 February 2024) | Viewed by 671

Special Issue Editors


E-Mail Website
Guest Editor
Skolkovo Institute of Science and Technology, 121205 Moscow, Russia
Interests: tensor decomposition; randomized algorithms; cross approximations

E-Mail Website
Guest Editor
Skolkovo Institute of Science and Technology, 121205 Moscow, Russia
Interests: multilinear algebra; tensor computation; tensor networks; nonlinear system; blind source separation; brain–computer interface.

E-Mail Website
Guest Editor
Skolkovo Institute of Science and Technology, 121205 Moscow, Russia
Interests: nonegative matrix/tensor factorization; sparse tensor factorization; optimization; machine learning

Special Issue Information

Dear Colleagues,

Tensor decompositions and tensor networks are effective methods for processing multidimensional data. They are particularly useful for compressing and reducing data tensors while preserving their natural multidimensional structure. Tensor decompositions and tensor networks have been effectively used in numerous applications including signal processing, machine learning, blind source separation, chemometrics, feature extraction/selection and deep learning.

In this Special Issue of Mathematics, we are looking for high-quality research or review papers on these topics. The primary focus is on, but not limited to, recent advances in tensor computations and fast algorithms for the computation of different types of tensor decompositions or their constrained forms. We are also interested in novel applications of tensor methods in data science and machine learning, but we welcome any other tensor decomposition-related, mathematically fascinating developments.

Dr. Salman Ahmadi-Asl
Prof. Dr. Anh-Huy Phan
Dr. Valentin Leplat
Guest Editors

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Keywords

  • tensor decomposition
  • tensor networks
  • non-negative tensor decomposition
  • cross tensor approximation
  • fast randomized algorithms for tensor decomposition
  • tensor decompositions for machine learning and data science applications
  • tensor completion
  • data compression via tensor methods
  • tensor-based classification and clustering methods
  • iterative methods for multilinear systems of equations
  • tensor methods for deep learning and computer vision

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Published Papers

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