Ivan Oseledets
TitleCited byYear
Tensor-Train Decomposition
IV Oseledets
SIAM Journal on Scientific Computing 33, 2295-2317, 2011
8982011
Breaking the curse of dimensionality, or how to use SVD in many dimensions
IV Oseledets, EE Tyrtyshnikov
SIAM Journal on Scientific Computing 31 (5), 3744-3759, 2009
3662009
TT-cross approximation for multidimensional arrays
I Oseledets, E Tyrtyshnikov
Linear Algebra and its Applications 432 (1), 70-88, 2010
3382010
Speeding-up convolutional neural networks using fine-tuned cp-decomposition
V Lebedev, Y Ganin, M Rakhuba, I Oseledets, V Lempitsky
arXiv preprint arXiv:1412.6553, 2014
2812014
Approximation of Matrices Using Tensor Decomposition
IV Oseledets
SIAM Journal on Matrix Analysis and Applications 31, 2130-2145, 2010
1802010
Tucker dimensionality reduction of three-dimensional arrays in linear time
IV Oseledets, DV Savostianov, EE Tyrtyshnikov
SIAM Journal on Matrix Analysis and Applications 30 (3), 939-956, 2008
1582008
Unifying time evolution and optimization with matrix product states
J Haegeman, C Lubich, I Oseledets, B Vandereycken, F Verstraete
Physical Review B 94 (16), 165116, 2016
1442016
How to find a good submatrix
SA Goreinov, IV Oseledets, DV Savostyanov, EE Tyrtyshnikov, ...
Matrix Methods: Theory, Algorithms And Applications: Dedicated to the Memory c, 2010
1362010
Solution of linear systems and matrix inversion in the TT-format
IV Oseledets, SV Dolgov
SIAM Journal on Scientific Computing 34 (5), A2718-A2739, 2012
1352012
Tensor networks for dimensionality reduction and large-scale optimization: Part 1 low-rank tensor decompositions
A Cichocki, N Lee, I Oseledets, AH Phan, Q Zhao, DP Mandic
Foundations and Trends® in Machine Learning 9 (4-5), 249-429, 2016
121*2016
Fast solution of multi-dimensional parabolic problems in the tensor train/quantized tensor train-format with initial application to the Fokker-Planck equation.
SV Dolgov, BN Khoromskij, IV Oseledets
SIAM Journal on Scientific Computing 34 (6), A3016–A3038, 2012
88*2012
Fast adaptive interpolation of multi-dimensional arrays in tensor train format
D Savostyanov, I Oseledets
The 2011 International Workshop on Multidimensional (nD) Systems, 1-8, 2011
742011
Computation of extreme eigenvalues in higher dimensions using block tensor train format
SV Dolgov, BN Khoromskij, IV Oseledets, DV Savostyanov
Computer Physics Communications 185 (4), 1207-1216, 2014
732014
Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs
BN Khoromskij, I Oseledets
Computational Methods in Applied Mathematics Comput. Methods Appl. Math. 10 c, 2010
732010
Constructive representation of functions in low-rank tensor formats
IV Oseledets
Constructive Approximation 37 (1), 1-18, 2013
652013
Time integration of tensor trains
C Lubich, IV Oseledets, B Vandereycken
SIAM Journal on Numerical Analysis 53 (2), 917-941, 2015
622015
A projector-splitting integrator for dynamical low-rank approximation
C Lubich, IV Oseledets
BIT Numerical Mathematics 54 (1), 171-188, 2014
612014
Tensor networks for dimensionality reduction and large-scale optimization: Part 2 applications and future perspectives
A Cichocki, AH Phan, Q Zhao, N Lee, I Oseledets, M Sugiyama, ...
Foundations and Trends® in Machine Learning 9 (6), 431-673, 2017
592017
Enabling high-dimensional hierarchical uncertainty quantification by ANOVA and tensor-train decomposition
Z Zhang, X Yang, IV Oseledets, GE Karniadakis, L Daniel
IEEE Transactions on Computer-Aided Design of Integrated Circuits and c, 2014
592014
DMRG approach to fast linear algebra in the TT-format
I Oseledets
Computational Methods in Applied Mathematics Comput. Methods Appl. Math. 11 c, 2011
592011
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Articles 1–20