4.5 Article

Randomized algorithms for the approximations of Tucker and the tensor train decompositions

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Computer Science, Artificial Intelligence

Fast nonnegative tensor factorization based on accelerated proximal gradient and low-rank approximation

Yu Zhang et al.

NEUROCOMPUTING (2016)

Article Mathematics, Applied

HOID: HIGHER ORDER INTERPOLATORY DECOMPOSITION FOR TENSORS BASED ON TUCKER REPRESENTATION

Arvind K. Saibaba

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2016)

Article Mathematics, Applied

RANDOMIZED ALTERNATING LEAST SQUARES FOR CANONICAL TENSOR DECOMPOSITIONS: APPLICATION TO A PDE WITH RANDOM DATA

Matthew J. Reynolds et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2016)

Article Computer Science, Artificial Intelligence

Efficient Nonnegative Tucker Decompositions: Algorithms and Uniqueness

Guoxu Zhou et al.

IEEE TRANSACTIONS ON IMAGE PROCESSING (2015)

Article Mathematics, Applied

ESTIMATING A FEW EXTREME SINGULAR VALUES AND VECTORS FOR LARGE-SCALE MATRICES IN TENSOR TRAIN FORMAT

Namgil Lee et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2015)

Article Mathematics, Applied

Tensor sparsification via a bound on the spectral norm of random tensors

Nam H. Nguyen et al.

INFORMATION AND INFERENCE-A JOURNAL OF THE IMA (2015)

Article Computer Science, Interdisciplinary Applications

Computation of extreme eigenvalues in higher dimensions using block tensor train format

S. V. Dolgov et al.

COMPUTER PHYSICS COMMUNICATIONS (2014)

Article Engineering, Electrical & Electronic

Breaking the Curse of Dimensionality Using Decompositions of Incomplete Tensors

Nico Vervliet et al.

IEEE SIGNAL PROCESSING MAGAZINE (2014)

Article Mathematics, Applied

Quasioptimality of maximum-volume cross interpolation of tensors

Dmitry V. Savostyanov

LINEAR ALGEBRA AND ITS APPLICATIONS (2014)

Article Mathematics, Applied

SEMIDEFINITE RELAXATIONS FOR BEST RANK-1 TENSOR APPROXIMATIONS

Jiawang Nie et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2014)

Article Mathematics, Applied

LOW-RANK TENSOR METHODS WITH SUBSPACE CORRECTION FOR SYMMETRIC EIGENVALUE PROBLEMS

Daniel Kressner et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2014)

Article Mathematics, Applied

Black box approximation of tensors in hierarchical Tucker format

Jonas Ballani et al.

LINEAR ALGEBRA AND ITS APPLICATIONS (2013)

Article Mathematics, Applied

Krylov-type methods for tensor computations I

Berkant Savas et al.

LINEAR ALGEBRA AND ITS APPLICATIONS (2013)

Article Engineering, Electrical & Electronic

Fast Nonnegative Matrix/Tensor Factorization Based on Low-Rank Approximation

Guoxu Zhou et al.

IEEE TRANSACTIONS ON SIGNAL PROCESSING (2012)

Article Mathematics, Applied

On manifolds of tensors of fixed TT-rank

Sebastian Holtz et al.

NUMERISCHE MATHEMATIK (2012)

Article Mathematics, Applied

WEDDERBURN RANK REDUCTION AND KRYLOV SUBSPACE METHOD FOR TENSOR APPROXIMATION. PART 1: TUCKER CASE

S. A. Goreinov et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2012)

Article Mathematics, Applied

THE ALTERNATING LINEAR SCHEME FOR TENSOR OPTIMIZATION IN THE TENSOR TRAIN FORMAT

Sebastian Holtz et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2012)

Article Mathematics, Applied

SOLUTION OF LINEAR SYSTEMS AND MATRIX INVERSION IN THE TT-FORMAT

I. V. Oseledets et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2012)

Article Mathematics, Applied

A NEW TRUNCATION STRATEGY FOR THE HIGHER-ORDER SINGULAR VALUE DECOMPOSITION

Nick Vannieuwenhoven et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2012)

Article Mathematics, Applied

BEST LOW MULTILINEAR RANK APPROXIMATION OF HIGHER-ORDER TENSORS, BASED ON THE RIEMANNIAN TRUST-REGION SCHEME

Mariya Ishteva et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2011)

Article Mathematics, Applied

TENSOR-TRAIN DECOMPOSITION

I. V. Oseledets

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2011)

Article Mathematics, Applied

TT-cross approximation for multidimensional arrays

Ivan Oseledets et al.

LINEAR ALGEBRA AND ITS APPLICATIONS (2010)

Article Mathematics, Applied

Generalizing the column-row matrix decomposition to multi-way arrays

Cesar F. Caiafa et al.

LINEAR ALGEBRA AND ITS APPLICATIONS (2010)

Article Mathematics, Applied

Cross approximation in tensor electron density computations

I. V. Oseledets et al.

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS (2010)

Article Mathematics, Applied

HIERARCHICAL SINGULAR VALUE DECOMPOSITION OF TENSORS

Lars Grasedyck

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2010)

Article Mathematics, Applied

QUASI-NEWTON METHODS ON GRASSMANNIANS AND MULTILINEAR APPROXIMATIONS OF TENSORS

Berkant Savas et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2010)

Article Mathematics, Applied

A New Scheme for the Tensor Representation

W. Hackbusch et al.

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS (2009)

Article Mathematics, Applied

A NEWTON-GRASSMANN METHOD FOR COMPUTING THE BEST MULTILINEAR RANK-(r(1), r(2), r(3)) APPROXIMATION OF A TENSOR

Lars Elden et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2009)

Article Mathematics, Applied

BREAKING THE CURSE OF DIMENSIONALITY, OR HOW TO USE SVD IN MANY DIMENSIONS

I. V. Oseledets et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2009)

Review Mathematics, Applied

Tensor Decompositions and Applications

Tamara G. Kolda et al.

SIAM REVIEW (2009)

Article Computer Science, Software Engineering

Computing non-negative tensor factorizations

Michael P. Friedlander et al.

OPTIMIZATION METHODS & SOFTWARE (2008)

Article Mathematics, Applied

TENSOR-CUR DECOMPOSITIONS FOR TENSOR-BASED DATA

Michael W. Mahoney et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2008)

Article Mathematics, Applied

TUCKER DIMENSIONALITY REDUCTION OF THREE-DIMENSIONAL ARRAYS IN LINEAR TIME

I. V. Oseledets et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2008)

Article Mathematics, Applied

Regularization tools version 4.0 for matlab 7.3

Per Christian Hansen

NUMERICAL ALGORITHMS (2007)

Article Mathematics, Applied

A randomized algorithm for a tensor-based generalization of the singular value decomposition

Petros Drineas et al.

LINEAR ALGEBRA AND ITS APPLICATIONS (2007)

Article Mathematics, Applied

Algorithms for numerical analysis in high dimensions

G Beylkin et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2005)

Article Mathematics, Applied

A multilinear singular value decomposition

L De Lathauwer et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2000)

Article Mathematics, Applied

On the best rank-1 and rank-(R1,R2,...,RN) approximation of higher-order tensors

L De Lathauwer et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2000)