TT ranks of approximate tensorizations of some smooth functions

DOI10.1134/S096554252105016XzbMath1469.30084MaRDI QIDQ2038486

L. I. Vysotsky

Publication date: 7 July 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

approximationtensorization of functions

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximations and expansions (41A99)

Related Items (1)

New applications of matrix methods

Cites Work

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• Tensor-Train Decomposition
• TT-cross approximation for multidimensional arrays
• \(O(d \log N)\)-quantics approximation of \(N\)-\(d\) tensors in high-dimensional numerical modeling
• Constructive representation of functions in low-rank tensor formats
• Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition
• On Tensor-Train Ranks of Tensorized Polynomials
• Tensor approximations of matrices generated by asymptotically smooth functions

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