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Tensor Completion in Hierarchical Tensor Representations (Q3460842)

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Language	Label	Description	Also known as
English	Tensor Completion in Hierarchical Tensor Representations	scientific article

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scholarly article

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Tensor Completion in Hierarchical Tensor Representations (English)

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Reinhold Schneider

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Željka Stojanac

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Compressed Sensing and its Applications

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publication date

8 January 2016

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full work available at URL

https://arxiv.org/abs/1404.3905

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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On the approximation of high-dimensional differential equations in the hierarchical Tucker format

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Algorithms for Numerical Analysis in High Dimensions

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Multivariate Regression and Machine Learning with Sums of Separable Functions

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Iterative thresholding for sparse approximations

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Iterative hard thresholding for compressed sensing

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Exact matrix completion via convex optimization

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Tight Oracle Inequalities for Low-Rank Matrix Recovery From a Minimal Number of Noisy Random Measurements

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The Power of Convex Relaxation: Near-Optimal Matrix Completion

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Ranks derived from multilinear maps

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Optimization on the hierarchical Tucker manifold - applications to tensor completion

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A Multilinear Singular Value Decomposition

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On minimal subspaces in tensor representations

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Tree-based tensor formats

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A mathematical introduction to compressive sensing

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

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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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Recovering Low-Rank Matrices From Few Coefficients in Any Basis

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Tensorisation of vectors and their efficient convolution

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Tensor Spaces and Numerical Tensor Calculus

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Numerical tensor calculus

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A new scheme for the tensor representation

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Extraction of quantifiable information from complex systems

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Tensor rank is NP-complete

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Most Tensor Problems Are NP-Hard

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On manifolds of tensors of fixed TT-rank

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The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format

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Tensor Decompositions and Applications

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Low-rank tensor completion by Riemannian optimization

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Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem

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From quantum to classical molecular dynamics: Reduced models and numerical analysis.

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Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors

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A new tensor decomposition

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Tensor-Train Decomposition

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

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Algebraic Wavelet Transform via Quantics Tensor Train Decomposition

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Low rank tensor recovery via iterative hard thresholding

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

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A Simpler Approach to Matrix Completion

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On Local Convergence of Alternating Schemes for Optimization of Convex Problems in the Tensor Train Format

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Approximation rates for the hierarchical tensor format in periodic Sobolev spaces

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Convergence Results for Projected Line-Search Methods on Varieties of Low-Rank Matrices Via Łojasiewicz Inequality

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The density-matrix renormalization group in the age of matrix product states

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Normalized Iterative Hard Thresholding for Matrix Completion

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Well-posedness of convex maximization problems on Stiefel manifolds and orthogonal tensor product approximations

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The geometry of algorithms using hierarchical tensors

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Low-Rank Matrix Completion by Riemannian Optimization

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Solving a low-rank factorization model for matrix completion by a nonlinear successive over-relaxation algorithm

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A Block Coordinate Descent Method for Regularized Multiconvex Optimization with Applications to Nonnegative Tensor Factorization and Completion

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-16042-9_14

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3460842

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