Tensor-on-Tensor Regression

DOI10.1080/10618600.2017.1401544OpenAlexW2569250433WikidataQ58580873 ScholiaQ58580873MaRDI QIDQ145048

Eric F. Lock, Eric F Lock

Publication date: 6 June 2018

Published in: Journal of Computational and Graphical Statistics (Search for Journal in Brave)

Full work available at URL: https://europepmc.org/articles/pmc6188709

zbMATH Keywords

ridge regressionreduced rank regressionmultiway dataPARAFAC/CANDECOMP

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (15)

A general framework for tensor screening through smoothing ⋮ Generalized Tensor Decomposition With Features on Multiple Modes ⋮ Multivariate Functional Regression Via Nested Reduced-Rank Regularization ⋮ Fast and Separable Estimation in High-Dimensional Tensor Gaussian Graphical Models ⋮ Tensor Stein-rules in a generalized tensor regression model ⋮ Statistical inference on the significance of rows and columns for matrix-valued data in an additive model ⋮ Tensor Response Quantile Regression with Neuroimaging Data ⋮ Multiway Sparse Distance Weighted Discrimination ⋮ Parsimonious Tensor Discriminant Analysis ⋮ Bayesian Dynamic Tensor Regression ⋮ Imputed quantile tensor regression for near-sited spatial-temporal data ⋮ Tensor envelope mixture model for simultaneous clustering and multiway dimension reduction ⋮ A Doubly Enhanced EM Algorithm for Model-Based Tensor Clustering ⋮ Covariate-Adjusted Tensor Classification in High-Dimensions ⋮ MultiwayRegression

Uses Software

• Algorithm 862
• MultiwayRegression
• SupCP
• LFW
• PubFig

Cites Work

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• Tensor Decompositions and Applications
• Multilinear tensor regression for longitudinal relational data
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• Supervised multiway factorization
• Separable covariance arrays via the Tucker product, with applications to multivariate relational data
• Array Variate Random Variables with Multiway Kro- necker Delta Covariance Matrix Structure
• Maximum Block Improvement and Polynomial Optimization
• Algorithm 862
• Nuclear norm of higher-order tensors
• Reduced rank ridge regression and its kernel extensions
• Tensor Regression with Applications in Neuroimaging Data Analysis
• Foundations for Envelope Models and Methods
• Tensor Learning for Regression
• Theoretical and Experimental Analyses of Tensor-Based Regression and Classification
• Ridge Regression: Biased Estimation for Nonorthogonal Problems
• The Deviance Information Criterion: 12 Years on
• Comment

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