André Uschmajew
André Uschmajew
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Local convergence of the alternating least squares algorithm for canonical tensor approximation
A Uschmajew
SIAM Journal on Matrix Analysis and Applications 33 (2), 639-652, 2012
On local convergence of alternating schemes for optimization of convex problems in the tensor train format
T Rohwedder, A Uschmajew
SIAM Journal on Numerical Analysis 51 (2), 1134-1162, 2013
Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations
M Bachmayr, R Schneider, A Uschmajew
Foundations of Computational Mathematics 16 (6), 1423-1472, 2016
The geometry of algorithms using hierarchical tensors
A Uschmajew, B Vandereycken
Linear Algebra and its Applications 439 (1), 133-166, 2013
Convergence results for projected line-search methods on varieties of low-rank matrices via Łojasiewicz inequality
R Schneider, A Uschmajew
SIAM Journal on Optimization 25 (1), 622-646, 2015
Parallel algorithms for tensor completion in the CP format
L Karlsson, D Kressner, A Uschmajew
Parallel Computing 57, 222-234, 2016
Low-rank tensor methods with subspace correction for symmetric eigenvalue problems
D Kressner, M Steinlechner, A Uschmajew
SIAM Journal on Scientific Computing 36 (5), A2346-A2368, 2014
Approximation rates for the hierarchical tensor format in periodic Sobolev spaces
R Schneider, A Uschmajew
Journal of Complexity 30 (2), 56-71, 2014
A Riemannian gradient sampling algorithm for nonsmooth optimization on manifolds
S Hosseini, A Uschmajew
SIAM Journal on Optimization 27 (1), 173-189, 2017
On convergence of the maximum block improvement method
Z Li, A Uschmajew, S Zhang
SIAM Journal on Optimization 25 (1), 210-233, 2015
A new convergence proof for the higher-order power method and generalizations
A Uschmajew
Pacific Journal of Optimization 11 (2), 309-321, 2015
Tensor networks for latent variable analysis: Novel algorithms for tensor train approximation
AH Phan, A Cichocki, A Uschmajew, P Tichavský, G Luta, DP Mandic
IEEE transactions on neural networks and learning systems 31 (11), 4622-4636, 2020
On low-rank approximability of solutions to high-dimensional operator equations and eigenvalue problems
D Kressner, A Uschmajew
Linear Algebra and its Applications 493, 556-572, 2016
On orthogonal tensors and best rank-one approximation ratio
Z Li, Y Nakatsukasa, T Soma, A Uschmajew
SIAM Journal on Matrix Analysis and Applications 39 (1), 400-425, 2018
Well-posedness of convex maximization problems on Stiefel manifolds and orthogonal tensor product approximations
A Uschmajew
Numerische Mathematik 115 (2), 309-331, 2010
Greedy rank updates combined with Riemannian descent methods for low-rank optimization
A Uschmajew, B Vandereycken
2015 International Conference on Sampling Theory and Applications (SampTA …, 2015
Finding a low-rank basis in a matrix subspace
Y Nakatsukasa, T Soma, A Uschmajew
Mathematical Programming 162 (1), 325-361, 2017
Geometric methods on low-rank matrix and tensor manifolds
A Uschmajew, B Vandereycken
Handbook of variational methods for nonlinear geometric data, 261-313, 2020
Line-search methods and rank increase on low-rank matrix varieties
A Uschmajew, B Vandereycken
Proceedings of the 2014 International Symposium on Nonlinear Theory and its …, 2014
On the interconnection between the higher-order singular values of real tensors
W Hackbusch, A Uschmajew
Numerische Mathematik 135 (3), 875-894, 2017
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