Ivan Oseledets
TitleCited byYear
Tensor-Train Decomposition
IV Oseledets
SIAM Journal on Scientific Computing 33, 2295-2317, 2011
7032011
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
3232009
TT-cross approximation for multidimensional arrays
I Oseledets, E Tyrtyshnikov
Linear Algebra and its Applications 432 (1), 70-88, 2010
2922010
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
2152014
Approximation of Matrices Using Tensor Decomposition
IV Oseledets
SIAM Journal on Matrix Analysis and Applications 31, 2130-2145, 2010
1712010
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
1432008
How to find a good submatrix
SA Goreinov, IV Oseledets, DV Savostyanov, EE Tyrtyshnikov, ...
Matrix Methods: Theory, Algorithms and Applications: Dedicated to the Memory …, 2010
1212010
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
1192012
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
992016
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
83*2012
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
74*2016
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 …, 2010
692010
Fast adaptive interpolation of multi-dimensional arrays in tensor train format
D Savostyanov, I Oseledets
Multidimensional (nD) Systems (nDs), 2011 7th International Workshop on, 1-8, 2011
672011
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
612014
A new tensor decomposition
IV Oseledets
Doklady Mathematics 80 (1), 495-496, 2009
59*2009
Tensor properties of multilevel Toeplitz and related matrices
V Olshevsky, I Oseledets, E Tyrtyshnikov
Linear algebra and its applications 412 (1), 1-21, 2006
562006
Linear algebra for tensor problems
IV Oseledets, DV Savostyanov, EE Tyrtyshnikov
Computing 85 (3), 169-188, 2009
552009
Constructive representation of functions in low-rank tensor formats
IV Oseledets
Constructive Approximation 37 (1), 1-18, 2013
542013
DMRG approach to fast linear algebra in the TT-format
I Oseledets
Computational Methods in Applied Mathematics Comput. Methods Appl. Math. 11 …, 2011
542011
A projector-splitting integrator for dynamical low-rank approximation
C Lubich, IV Oseledets
BIT Numerical Mathematics 54 (1), 171-188, 2014
512014
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Articles 1–20