Block tensor train decomposition for missing data estimation (Q1757240)

scientific article; zbMATH DE number 6997283

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English	Block tensor train decomposition for missing data estimation	scientific article; zbMATH DE number 6997283

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instance of

scholarly article

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title

Block tensor train decomposition for missing data estimation (English)

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3 January 2019

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zbMATH Keywords

imputation

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multidimensional array

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singular value decomposition

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tensor network

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describes a project that uses

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full work available at URL

https://doi.org/10.1007/s00362-018-1043-8

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cites work

Computing Low-Rank Approximations of Large-Scale Matrices with the Tensor Network Randomized SVD

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Efficient Tensor Completion for Color Image and Video Recovery: Low-Rank Tensor Train

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Q4821526

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Exact matrix completion via convex optimization

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The Power of Convex Relaxation: Near-Optimal Matrix Completion

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Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young'' decomposition

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Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions

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Fast Solution of Parabolic Problems in the Tensor Train/Quantized Tensor Train Format with Initial Application to the Fokker--Planck Equation

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

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On minimal subspaces in tensor representations

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Tucker factorization with missing data with application to low-\(n\)-rank tensor completion

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Nuclear norm of higher-order tensors

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Lower Rank Approximation of Matrices by Least Squares with Any Choice of Weights

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Tensor completion and low-n-rank tensor recovery via convex optimization

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Low-Rank Matrix Approximation with Weights or Missing Data Is NP-Hard

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Hierarchical Singular Value Decomposition of Tensors

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A literature survey of low-rank tensor approximation techniques

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Variants of Alternating Least Squares Tensor Completion in the Tensor Train Format

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Tensor Spaces and Numerical Tensor Calculus

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A new scheme for the tensor representation

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The alternating linear scheme for tensor optimization in the tensor train format

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On manifolds of tensors of fixed TT-rank

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Principal component analysis.

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\(O(d \log N)\)-quantics approximation of \(N\)-\(d\) tensors in high-dimensional numerical modeling

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Weighted least squares fitting using ordinary least squares algorithms

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Tensor Decompositions and Applications

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Low-Rank Tensor Methods with Subspace Correction for Symmetric Eigenvalue Problems

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Low-rank tensor completion by Riemannian optimization

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Tensor conjugate-gradient-type method for Rayleigh quotient minimization in block QTT-format

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Estimating a Few Extreme Singular Values and Vectors for Large-Scale Matrices in Tensor Train Format

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Regularized computation of approximate pseudoinverse of large matrices using low-rank tensor train decompositions

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Fundamental tensor operations for large-scale data analysis using tensor network formats

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Spectral regularization algorithms for learning large incomplete matrices

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Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions

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Tensor-Train Decomposition

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Solution of Linear Systems and Matrix Inversion in the TT-Format

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Tensor Completion in Hierarchical Tensor Representations

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Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization

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Recommender Systems Handbook

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Numerical Methods for Large Eigenvalue Problems

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Riemannian optimization for high-dimensional tensor completion

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Flexible imputation of missing data.

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Smooth PARAFAC Decomposition for Tensor Completion

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On tensor completion via nuclear norm minimization

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Identifiers

zbMATH Open document ID

1409.65026

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Mathematics Subject Classification ID

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10.1007/S00362-018-1043-8

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Sitelinks

Mathematics(1 entry)

mardi Publication:1757240