Truncation of tensors in the hierarchical format

DOI10.1007/s40324-018-00184-5zbMath1479.15027OpenAlexW2797985097WikidataQ114219220 ScholiaQ114219220MaRDI QIDQ2059131

Wolfgang Hackbusch

Publication date: 13 December 2021

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-018-00184-5

zbMATH Keywords

hierarchical tensor representationHOSVD truncation

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Numerical linear algebra (65F99) Numerical methods in Fourier analysis (65T99)

Related Items (1)

Tree-based tensor formats

Cites Work

• Tensor-Train Decomposition
• TT-cross approximation for multidimensional arrays
• \(L^{\infty}\) estimation of tensor truncations
• On the interconnection between the higher-order singular values of real tensors
• Regularity of tensor product approximations to square integrable functions
• Multilinear algebra. 2nd ed
• On the Dirac-Frenkel variational principle on tensor Banach spaces
• On minimal subspaces in tensor representations
• A new scheme for the tensor representation
• Tensor Spaces and Numerical Tensor Calculus
• Tensor rank is NP-complete
• A Multilinear Singular Value Decomposition

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