Ivan Oseledets
タイトル引用先
Tensor-Train Decomposition
IV Oseledets
SIAM Journal on Scientific Computing 33, 2295-2317, 2011
8012011
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
3452009
TT-cross approximation for multidimensional arrays
I Oseledets, E Tyrtyshnikov
Linear Algebra and its Applications 432 (1), 70-88, 2010
3142010
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
2512014
Approximation of Matrices Using Tensor Decomposition
IV Oseledets
SIAM Journal on Matrix Analysis and Applications 31, 2130-2145, 2010
1742010
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
1542008
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
1292012
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
1282010
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
1182016
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
93*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
86*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
722011
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
722010
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
662014
Constructive representation of functions in low-rank tensor formats
IV Oseledets
Constructive Approximation 37 (1), 1-18, 2013
592013
Linear algebra for tensor problems
IV Oseledets, DV Savostyanov, EE Tyrtyshnikov
Computing 85 (3), 169-188, 2009
582009
DMRG approach to fast linear algebra in the TT-format
I Oseledets
Computational Methods in Applied Mathematics Comput. Methods Appl. Math. 11 …, 2011
572011
A new tensor decomposition
IV Oseledets
Doklady Mathematics 80 (1), 495-496, 2009
56*2009
Time integration of tensor trains
C Lubich, IV Oseledets, B Vandereycken
SIAM Journal on Numerical Analysis 53 (2), 917-941, 2015
552015
A projector-splitting integrator for dynamical low-rank approximation
C Lubich, IV Oseledets
BIT Numerical Mathematics 54 (1), 171-188, 2014
552014
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