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Ivan Oseledets
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Tensor-Train Decomposition
IV Oseledets
SIAM Journal on Scientific Computing 33, 2295-2317, 2011
31412011
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
11292014
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
7942016
TT-cross approximation for multidimensional arrays
I Oseledets, E Tyrtyshnikov
Linear Algebra and its Applications 432 (1), 70-88, 2010
7642010
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
660*2016
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
6422009
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
3522020
Neural networks for topology optimization
I Sosnovik, I Oseledets
Russian Journal of Numerical Analysis and Mathematical Modelling 34 (4), 215-223, 2019
3382019
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
3112017
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
3112010
Approximation of Matrices Using Tensor Decomposition
IV Oseledets
SIAM Journal on Matrix Analysis and Applications 31, 2130-2145, 2010
3002010
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
2402012
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
2372008
Time integration of tensor trains
C Lubich, IV Oseledets, B Vandereycken
SIAM Journal on Numerical Analysis 53 (2), 917-941, 2015
2212015
A projector-splitting integrator for dynamical low-rank approximation
C Lubich, IV Oseledets
BIT Numerical Mathematics 54 (1), 171-188, 2014
2212014
Stable low-rank tensor decomposition for compression of convolutional neural network
AH Phan, K Sobolev, K Sozykin, D Ermilov, J Gusak, P Tichavský, ...
Computer Vision–ECCV 2020: 16th European Conference, Glasgow, UK, August 23 …, 2020
1832020
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
1682011
Exponential machines
A Novikov, M Trofimov, I Oseledets
arXiv preprint arXiv:1605.03795, 2016
1672016
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
167*2012
Tensor methods and recommender systems
E Frolov, I Oseledets
Wiley Interdisciplinary Reviews: Data Mining and Knowledge Discovery 7 (3 …, 2017
1652017
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