Shi, Tianyi; Townsend, Alex On the compressibility of tensors. (English) Zbl 07331674 SIAM J. Matrix Anal. Appl. 42, No. 1, 275-298 (2021). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{T. Shi} and \textit{A. Townsend}, SIAM J. Matrix Anal. Appl. 42, No. 1, 275--298 (2021; Zbl 07331674) Full Text: DOI arXiv
Wu, Bijiao; Wang, Dingheng; Zhao, Guangshe; Deng, Lei; Li, Guoqi Hybrid tensor decomposition in neural network compression. (English) Zbl 1475.68325 Neural Netw. 132, 309-320 (2020). MSC: 68T07 15A23 15A69 PDFBibTeX XMLCite \textit{B. Wu} et al., Neural Netw. 132, 309--320 (2020; Zbl 1475.68325) Full Text: DOI arXiv
Rakhuba, M. V.; Oseledets, I. V. Jacobi-Davidson method on low-rank matrix manifolds. (English) Zbl 1386.65113 SIAM J. Sci. Comput. 40, No. 2, A1149-A1170 (2018). MSC: 65F15 15A18 15A69 53B21 PDFBibTeX XMLCite \textit{M. V. Rakhuba} and \textit{I. V. Oseledets}, SIAM J. Sci. Comput. 40, No. 2, A1149--A1170 (2018; Zbl 1386.65113) Full Text: DOI arXiv
Kazeev, Vladimir; Schwab, Christoph Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions. (English) Zbl 1382.65409 Numer. Math. 138, No. 1, 133-190 (2018). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 15A69 35J25 65N12 PDFBibTeX XMLCite \textit{V. Kazeev} and \textit{C. Schwab}, Numer. Math. 138, No. 1, 133--190 (2018; Zbl 1382.65409) Full Text: DOI Link
Etter, Simon Parallel ALS algorithm for solving linear systems in the hierarchical Tucker representation. (English) Zbl 1347.65072 SIAM J. Sci. Comput. 38, No. 4, A2585-A2609 (2016). MSC: 65F20 15A69 65Y05 PDFBibTeX XMLCite \textit{S. Etter}, SIAM J. Sci. Comput. 38, No. 4, A2585--A2609 (2016; Zbl 1347.65072) Full Text: DOI
Kressner, Daniel; Steinlechner, Michael; Vandereycken, Bart Preconditioned low-rank Riemannian optimization for linear systems with tensor product structure. (English) Zbl 1382.65089 SIAM J. Sci. Comput. 38, No. 4, A2018-A2044 (2016). MSC: 65F10 65K05 15A69 58C05 65F08 PDFBibTeX XMLCite \textit{D. Kressner} et al., SIAM J. Sci. Comput. 38, No. 4, A2018--A2044 (2016; Zbl 1382.65089) Full Text: DOI
Kressner, Daniel; Uschmajew, André On low-rank approximability of solutions to high-dimensional operator equations and eigenvalue problems. (English) Zbl 1336.65093 Linear Algebra Appl. 493, 556-572 (2016). MSC: 65J10 15A69 41A25 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{A. Uschmajew}, Linear Algebra Appl. 493, 556--572 (2016; Zbl 1336.65093) Full Text: DOI arXiv
Dolgov, Sergey; Khoromskij, Boris N.; Litvinenko, Alexander; Matthies, Hermann G. Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format. (English) Zbl 1329.65271 SIAM/ASA J. Uncertain. Quantif. 3, 1109-1135 (2015). MSC: 65N30 15A69 60H15 60H35 65N75 76M10 76S05 PDFBibTeX XMLCite \textit{S. Dolgov} et al., SIAM/ASA J. Uncertain. Quantif. 3, 1109--1135 (2015; Zbl 1329.65271) Full Text: DOI arXiv
Kazeev, Vladimir; Schwab, Christoph Tensor approximation of stationary distributions of chemical reaction networks. (English) Zbl 1322.60155 SIAM J. Matrix Anal. Appl. 36, No. 3, 1221-1247 (2015). MSC: 60J28 15A69 60J27 92C42 PDFBibTeX XMLCite \textit{V. Kazeev} and \textit{C. Schwab}, SIAM J. Matrix Anal. Appl. 36, No. 3, 1221--1247 (2015; Zbl 1322.60155) Full Text: DOI Link
Hackbusch, Wolfgang Numerical tensor calculus. (English) Zbl 1396.65091 Acta Numerica 23, 651-742 (2014). MSC: 65F30 15A69 65-02 PDFBibTeX XMLCite \textit{W. Hackbusch}, Acta Numerica 23, 651--742 (2014; Zbl 1396.65091) Full Text: DOI
Savostyanov, Dmitry V. Quasioptimality of maximum-volume cross interpolation of tensors. (English) Zbl 1294.65017 Linear Algebra Appl. 458, 217-244 (2014). MSC: 65D05 15A69 41A05 PDFBibTeX XMLCite \textit{D. V. Savostyanov}, Linear Algebra Appl. 458, 217--244 (2014; Zbl 1294.65017) Full Text: DOI arXiv
Beckermann, Bernhard; Kressner, Daniel; Tobler, Christine An error analysis of Galerkin projection methods for linear systems with tensor product structure. (English) Zbl 1287.65032 SIAM J. Numer. Anal. 51, No. 6, 3307-3326 (2013). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F30 15A24 65F10 15A69 PDFBibTeX XMLCite \textit{B. Beckermann} et al., SIAM J. Numer. Anal. 51, No. 6, 3307--3326 (2013; Zbl 1287.65032) Full Text: DOI Link
Kazeev, Vladimir; Reichmann, Oleg; Schwab, Christoph Low-rank tensor structure of linear diffusion operators in the TT and QTT formats. (English) Zbl 1281.15024 Linear Algebra Appl. 438, No. 11, 4204-4221 (2013). MSC: 15A69 65F99 65M06 PDFBibTeX XMLCite \textit{V. Kazeev} et al., Linear Algebra Appl. 438, No. 11, 4204--4221 (2013; Zbl 1281.15024) Full Text: DOI
Uschmajew, André; Vandereycken, Bart The geometry of algorithms using hierarchical tensors. (English) Zbl 1281.65062 Linear Algebra Appl. 439, No. 1, 133-166 (2013). MSC: 65F15 15A69 65F20 PDFBibTeX XMLCite \textit{A. Uschmajew} and \textit{B. Vandereycken}, Linear Algebra Appl. 439, No. 1, 133--166 (2013; Zbl 1281.65062) Full Text: DOI
Grasedyck, Lars; Kressner, Daniel; Tobler, Christine A literature survey of low-rank tensor approximation techniques. (English) Zbl 1279.65045 GAMM-Mitt. 36, No. 1, 53-78 (2013). MSC: 65F30 15A69 65F10 65F15 65-02 PDFBibTeX XMLCite \textit{L. Grasedyck} et al., GAMM-Mitt. 36, No. 1, 53--78 (2013; Zbl 1279.65045) Full Text: DOI arXiv
Lubich, Christian; Rohwedder, Thorsten; Schneider, Reinhold; Vandereycken, Bart Dynamical approximation by hierarchical Tucker and tensor-train tensors. (English) Zbl 1391.15087 SIAM J. Matrix Anal. Appl. 34, No. 2, 470-494 (2013). MSC: 15A69 90C06 65F99 65L05 PDFBibTeX XMLCite \textit{C. Lubich} et al., SIAM J. Matrix Anal. Appl. 34, No. 2, 470--494 (2013; Zbl 1391.15087) Full Text: DOI Link
Kazeev, Vladimir A.; Khoromskij, Boris N. Low-rank explicit QTT representation of the Laplace operator and its inverse. (English) Zbl 1268.15025 SIAM J. Matrix Anal. Appl. 33, No. 3, 742-758 (2012). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 15A69 65F30 15A03 PDFBibTeX XMLCite \textit{V. A. Kazeev} and \textit{B. N. Khoromskij}, SIAM J. Matrix Anal. Appl. 33, No. 3, 742--758 (2012; Zbl 1268.15025) Full Text: DOI
Kressner, Daniel; Tobler, Christine Preconditioned low-rank methods for high-dimensional elliptic PDE eigenvalue problems. (English) Zbl 1283.65025 Comput. Methods Appl. Math. 11, No. 3, 363-381 (2011). MSC: 65F15 15A18 15A69 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{C. Tobler}, Comput. Methods Appl. Math. 11, No. 3, 363--381 (2011; Zbl 1283.65025) Full Text: DOI Link