Fundamental tensor operations for large-scale data analysis using tensor network formats
出版年份 2017 全文链接
标题
Fundamental tensor operations for large-scale data analysis using tensor network formats
作者
关键词
Tensor networks, Tensor train, Matrix product state, Matrix product operator, Generalized Tucker model, Strong Kronecker product, Contracted product, Multilinear operator, Tensor calculus, Big data, 15A63, 15A69, 65F25
出版物
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING
Volume 29, Issue 3, Pages 921-960
出版商
Springer Nature
发表日期
2017-03-09
DOI
10.1007/s11045-017-0481-0
参考文献
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注意：仅列出部分参考文献，下载原文获取全部文献信息。- Regularized Computation of Approximate Pseudoinverse of Large Matrices Using Low-Rank Tensor Train Decompositions
- (2016) Namgil Lee et al. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
- Estimating a Few Extreme Singular Values and Vectors for Large-Scale Matrices in Tensor Train Format
- (2015) Namgil Lee et al. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
- Computation of extreme eigenvalues in higher dimensions using block tensor train format
- (2014) S.V. Dolgov et al. COMPUTER PHYSICS COMMUNICATIONS
- Breaking the Curse of Dimensionality Using Decompositions of Incomplete Tensors: Tensor-based scientific computing in big data analysis
- (2014) Nico Vervliet et al. IEEE SIGNAL PROCESSING MAGAZINE
- Low-Rank Tensor Methods with Subspace Correction for Symmetric Eigenvalue Problems
- (2014) Daniel Kressner et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions
- (2014) Sergey V. Dolgov et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity
- (2013) Vladimir A. Kazeev et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- On Minimal Subspaces in Tensor Representations
- (2012) Antonio Falcó et al. FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
- Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse
- (2012) Vladimir A. Kazeev et al. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
- The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format
- (2012) Sebastian Holtz et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Solution of Linear Systems and Matrix Inversion in the TT-Format
- (2012) I. V. Oseledets et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Tensors-structured numerical methods in scientific computing: Survey on recent advances
- (2011) Boris N. Khoromskij CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS
- O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling
- (2011) Boris N. Khoromskij CONSTRUCTIVE APPROXIMATION
- On manifolds of tensors of fixed TT-rank
- (2011) Sebastian Holtz et al. NUMERISCHE MATHEMATIK
- Tensor-Train Decomposition
- (2011) I. V. Oseledets SIAM JOURNAL ON SCIENTIFIC COMPUTING
- The density-matrix renormalization group in the age of matrix product states
- (2010) Ulrich Schollwöck ANNALS OF PHYSICS
- Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition
- (2010) I. V. Oseledets SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
- Hierarchical Singular Value Decomposition of Tensors
- (2010) Lars Grasedyck SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
- A New Scheme for the Tensor Representation
- (2009) W. Hackbusch et al. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
- Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions
- (2009) I. V. Oseledets et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Tensor Decompositions and Applications
- (2009) Tamara G. Kolda et al. SIAM REVIEW
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