Tensor trains approximation estimates in the Chebyshev norm

DOI10.1134/S096554251902012XzbMath1429.65092OpenAlexW2945150561MaRDI QIDQ2313430

A. I. Osinsky

Publication date: 19 July 2019

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

Full work available at URL: https://doi.org/10.1134/s096554251902012x

zbMATH Keywords

multidimensional arraysnonlinear approximationsmaximum volume principle

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

Related Items (2)

Global optimization based on TT-decomposition ⋮ Parallel cross interpolation for high-precision calculation of high-dimensional integrals

Cites Work

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• Tensor-Train Decomposition
• TT-cross approximation for multidimensional arrays
• Quasioptimality of skeleton approximation of a matrix in the Chebyshev norm
• On cross approximation of multi-index arrays
• Pseudo-skeleton approximations with better accuracy estimates
• Quasioptimality of maximum-volume cross interpolation of tensors
• Optimal CUR Matrix Decompositions
• Tucker Dimensionality Reduction of Three-Dimensional Arrays in Linear Time

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