On Tensor-Train Ranks of Tensorized Polynomials

DOI10.1007/978-3-030-41032-2_21OpenAlexW3006671539MaRDI QIDQ3297707

L. I. Vysotsky

Publication date: 20 July 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-41032-2_21

zbMATH Keywords

discretizationtensor train formattensorizationTT-decompositionTT-ranks

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Related Items (1)

TT ranks of approximate tensorizations of some smooth functions

Cites Work

• Tensor-Train Decomposition
• \(O(d \log N)\)-quantics approximation of \(N\)-\(d\) tensors in high-dimensional numerical modeling
• Constructive representation of functions in low-rank tensor formats
• An introduction to hierarchical (\(\mathcal H\)-) rank and TT-rank of tensors with examples
• Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition
• Tensor approximations of matrices generated by asymptotically smooth functions

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