Fast nonnegative tensor factorizations with tensor train model

DOI10.1134/S1995080222070228zbMath1502.65023OpenAlexW4290000456WikidataQ114074820 ScholiaQ114074820MaRDI QIDQ2674997

E. M. Shcherbakova, Evgenij E. Tyrtyshnikov

Publication date: 20 September 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222070228

zbMATH Keywords

canonical decompositionTucker decompositionnonnegative tensor factorizationtensor train

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Numerical linear algebra (65F99)

Related Items (1)

Study of performance of low-rank nonnegative tensor factorization methods

Uses Software

• TensorToolbox
• TT Toolbox
• GitHub

Cites Work

• Tensor-Train Decomposition
• TT-cross approximation for multidimensional arrays
• Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics
• Methods for nonnegative matrix factorization based on low-rank cross approximations
• Nonnegative tensor train factorization with DMRG technique
• Alternating proximal gradient method for sparse nonnegative Tucker decomposition
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• Tensor conjugate-gradient-type method for Rayleigh quotient minimization in block QTT-format
• Algorithm 862
• Efficient Nonnegative Tucker Decompositions: Algorithms and Uniqueness
• Error Preserving Correction: A Method for CP Decomposition at a Target Error Bound

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