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Inference for low-rank tensors -- no need to debias (Q2131273)

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Language	Label	Description	Also known as
English	Inference for low-rank tensors -- no need to debias	scientific article

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scholarly article

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Inference for low-rank tensors -- no need to debias (English)

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The Annals of Statistics

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publication date

25 April 2022

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full work available at URL

https://arxiv.org/abs/2012.14844

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zbMATH Keywords

asymptotic distribution

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confidence region

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statistical inference

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tensor principal component analysis

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tensor regression

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Tensor decompositions for learning latent variable models

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High-Dimensional Covariance Decomposition into Sparse Markov and Independence Models

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Singular vector and singular subspace distribution for the matrix denoising model

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Eigenvectors of Orthogonally Decomposable Functions

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The Landscape of the Spiked Tensor Model

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Multilayer tensor factorization with applications to recommender systems

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Geometric inference for general high-dimensional linear inverse problems

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Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-Rank Matrices

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PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming

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Uncertainty quantification for matrix compressed sensing and quantum tomography problems

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On the Tensor SVD and the Optimal Low Rank Orthogonal Approximation of Tensors

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Phase transition in the spiked random tensor with Rademacher prior

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Inference and uncertainty quantification for noisy matrix completion

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On the Best Rank-1 and Rank-(<i>R</i><sub>1</sub> ,<i>R</i><sub>2</sub> ,. . .,<i>R<sub>N</sub></i>) Approximation of Higher-Order Tensors

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

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Generalized high-dimensional trace regression via nuclear norm regularization

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Weighted Matrix Completion From Non-Random, Non-Uniform Sampling Patterns

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An optimal statistical and computational framework for generalized tensor estimation

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Sparse and Low-Rank Tensor Estimation via Cubic Sketchings

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Most Tensor Problems Are NP-Hard

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Confidence Intervals and Hypothesis Testing for High-Dimensional Regression

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Community detection on mixture multilayer networks via regularized tensor decomposition

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Orthogonal Tensor Decompositions

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Tensor Decompositions and Applications

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Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion

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Rapid, robust, and reliable blind deconvolution via nonconvex optimization

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Tensor clustering with planted structures: statistical optimality and computational limits

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Tensor product analysis of partial difference equations

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Spectral Algorithms for Tensor Completion

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Statistical limits of spiked tensor models

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Convex regularization for high-dimensional multiresponse tensor regression

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Low rank tensor recovery via iterative hard thresholding

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Dynamic Tensor Clustering

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Provable Sparse Tensor Decomposition

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A New Truncation Strategy for the Higher-Order Singular Value Decomposition

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On asymptotically optimal confidence regions and tests for high-dimensional models

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Confidence Region of Singular Subspaces for Low-Rank Matrix Regression

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Normal approximation and confidence region of singular subspaces

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On polynomial time methods for exact low-rank tensor completion

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Statistical Inferences of Linear Forms for Noisy Matrix Completion

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On tensor completion via nuclear norm minimization

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Cross: efficient low-rank tensor completion

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Optimal Sparse Singular Value Decomposition for High-Dimensional High-Order Data

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Tensor SVD: Statistical and Computational Limits

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ISLET: Fast and Optimal Low-Rank Tensor Regression via Importance Sketching

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The sparsity and bias of the LASSO selection in high-dimensional linear regression

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Confidence Intervals for Low Dimensional Parameters in High Dimensional Linear Models

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Rank-One Approximation to High Order Tensors

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Tensor Regression with Applications in Neuroimaging Data Analysis

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Identifiers

zbMATH Open document ID

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10.1214/21-AOS2146

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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:2131273

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