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Ivan Oseledets
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Tensor-Train Decomposition
IV Oseledets
SIAM Journal on Scientific Computing 33, 2295-2317, 2011
21582011
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
8542014
TT-cross approximation for multidimensional arrays
I Oseledets, E Tyrtyshnikov
Linear Algebra and its Applications 432 (1), 70-88, 2010
5702010
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
5572009
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
4772016
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
441*2016
Approximation of Matrices Using Tensor Decomposition
IV Oseledets
SIAM Journal on Matrix Analysis and Applications 31, 2130-2145, 2010
2512010
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
2342010
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
2172008
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
2162017
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
1972012
Neural networks for topology optimization
I Sosnovik, I Oseledets
Russian Journal of Numerical Analysis and Mathematical Modelling 34 (4), 215-223, 2019
1842019
Time integration of tensor trains
C Lubich, IV Oseledets, B Vandereycken
SIAM Journal on Numerical Analysis 53 (2), 917-941, 2015
1462015
Hyperbolic image embeddings
V Khrulkov, L Mirvakhabova, E Ustinova, I Oseledets, V Lempitsky
Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern …, 2020
1302020
A projector-splitting integrator for dynamical low-rank approximation
C Lubich, IV Oseledets
BIT Numerical Mathematics 54 (1), 171-188, 2014
1272014
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
126*2012
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 …, 2014
1222014
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
1192011
Tensor methods and recommender systems
E Frolov, I Oseledets
Wiley Interdisciplinary Reviews: Data Mining and Knowledge Discovery 7 (3 …, 2017
1162017
Exponential machines
A Novikov, M Trofimov, I Oseledets
Bulletin of the Polish Academy of Sciences: Technical Sciences, 789-797-789-797, 2018
1132018
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