A new method for reconstruction of cross-sections using Tucker decomposition

DOI10.1016/j.jcp.2017.05.019zbMath1378.65043OpenAlexW2597164298MaRDI QIDQ1692010

Pierre Guérin, Matthieu Guillo, Yvon Maday, Thi Hieu Luu

Publication date: 26 January 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.05.019

zbMATH Keywords

reconstructionKarhunen-Loève decompositionfunction approximationTucker decompositionneutronicslow-rank tensor approximationcross sections

Mathematics Subject Classification ID

Numerical interpolation (65D05) Nuclear reactor theory; neutron transport (82D75)

Related Items (3)

Active Learning of Tree Tensor Networks using Optimal Least Squares ⋮ Higher-order principal component analysis for the approximation of tensors in tree-based low-rank formats ⋮ Functional Tucker Approximation Using Chebyshev Interpolation

Cites Work

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• Tensor-Train Decomposition
• A method for numerical integration on an automatic computer
• The best \(L^ 2\)-approximation by finite sums of functions with separable variables
• A general multipurpose interpolation procedure: The magic points
• Tensor Spaces and Numerical Tensor Calculus
• The Numerical Solution of Integral Equations of the Second Kind
• A Multilinear Singular Value Decomposition
• Is Gauss Quadrature Better than Clenshaw–Curtis?

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