Regularity of tensor product approximations to square integrable functions

DOI10.1007/s00365-010-9125-4zbMath1237.41010OpenAlexW2084087478MaRDI QIDQ662815

André Uschmajew

Publication date: 13 February 2012

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-010-9125-4

zbMATH Keywords

Sobolev spacestensor productslow-rank approximationoptimal subspace approximation

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Multilinear algebra, tensor calculus (15A69) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (7)

On the spectral problem for trivariate functions ⋮ \(L^{\infty}\) estimation of tensor truncations ⋮ Musings on multilinear fitting ⋮ Adaptive near-optimal rank tensor approximation for high-dimensional operator equations ⋮ Approximation rates for the hierarchical tensor format in periodic Sobolev spaces ⋮ Truncation of tensors in the hierarchical format ⋮ A literature survey of low-rank tensor approximation techniques

Cites Work

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• Tensor Decompositions and Applications
• Well-posedness of convex maximization problems on Stiefel manifolds and orthogonal tensor product approximations
• Regularity and approximability of electronic wave functions
• Solutions of the multiconfiguration equations in quantum chemistry
• A general approach for multiconfiguration methods in quantum molecular chemistry
• Approximating a wavefunction as an unconstrained sum of Slater determinants
• Preservation of Linear Constraints in Approximation of Tensors
• Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
• Multilinear Algebra
• Measure and integration theory. Transl. from the German by Robert B. Burckel

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