A note on structural adaptive dimension reduction

DOI10.1080/00949650801959699zbMath1186.62084OpenAlexW2080703194MaRDI QIDQ3638592

Jörg Polzehl, Stefan Sperlich

Publication date: 27 October 2009

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949650801959699

zbMATH Keywords

Rmulti-index modeldimension-reductionstructural adaptationgeneralized PCAindex space

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Estimation in multivariate analysis (62H12)

Related Items (4)

Adaptive-modal Bayesian nonparametric regression ⋮ The EFM approach for single-index models ⋮ Nonparametric estimation of varying-coefficient single-index models ⋮ Computational approximation of the likelihood ratio for testing the existence of change-points in a heteroscedastic series

Uses Software

• R

Cites Work

• A constructive approach to the estimation of dimension reduction directions
• Computational aspects of nonparametric smoothing with illustrations from the \texttt{sm} library
• Hedonic housing prices and the demand for clean air
• Contour regression: a general approach to dimension reduction
• Fourier Methods for Estimating the Central Subspace and the Central Mean Subspace in Regression
• Principal Hessian Directions Revisited
• Sliced Inverse Regression for Dimension Reduction
• On Principal Hessian Directions for Data Visualization and Dimension Reduction: Another Application of Stein's Lemma
• On Single-Index Coefficient Regression Models
• An Adaptive Estimation of Dimension Reduction Space
• Sufficient Dimension Reduction via Inverse Regression

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