Nonnegative tensor train factorization with DMRG technique

DOI10.1134/S1995080219110283zbMath1434.65055OpenAlexW2990492839WikidataQ126657733 ScholiaQ126657733MaRDI QIDQ2304589

E. M. Shcherbakova

Publication date: 12 March 2020

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

Full work available at URL: https://doi.org/10.1134/s1995080219110283

zbMATH Keywords

multiplicative updatesnonnegative tensor train

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical computation of matrix norms, conditioning, scaling (65F35) Multilinear algebra, tensor calculus (15A69) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

Related Items (2)

Fast nonnegative tensor factorizations with tensor train model ⋮ Study of performance of low-rank nonnegative tensor factorization methods

Uses Software

• TT Toolbox
• GitHub
• TDALAB

Cites Work

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• Tensor-Train Decomposition
• TT-cross approximation for multidimensional arrays
• Nonnegative ranks, decompositions, and factorizations of nonnegative matrices
• A theory of pseudoskeleton approximations
• Incomplete cross approximation in the mosaic-skeleton method
• Methods for nonnegative matrix factorization based on low-rank cross approximations
• Nonnegative Tensor Train Factorizations and Some Applications
• On the Complexity of Nonnegative Matrix Factorization
• Fast Nonnegative Matrix/Tensor Factorization Based on Low-Rank Approximation
• Learning the parts of objects by non-negative matrix factorization

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