Remarks on projection pursuit regression and density estimation

DOI10.1080/07362999208809264zbMath0763.62034OpenAlexW1980165899MaRDI QIDQ4005831

Gilbert G. Walter, Lídia Rejtő

Publication date: 27 September 1992

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362999208809264

zbMATH Keywords

strong convergenceSobolev spacesHilbert spacedensity approximationalmost greedy algorithmgeneralization of the projection pursuit regression algorithm

Mathematics Subject Classification ID

Multivariate analysis (62H99) Density estimation (62G07) Linear inference, regression (62J99)

Related Items (9)

Nonlinear function approximation: computing smooth solutions with an adaptive greedy algorithm ⋮ Comparison of the convergence rate of pure greedy and orthogonal greedy algorithms ⋮ Convergence of the weak dual greedy algorithm in \(L_{p}\)-spaces. ⋮ Vector greedy algorithms ⋮ The weak Chebyshev X-greedy algorithm in the unweighted Bergman space ⋮ A counter-example to the general convergence of partially greedy algorithms ⋮ Simultaneous approximation by greedy algorithms ⋮ Local greedy approximation for nonlinear regression and neural network training. ⋮ Generalized approximate weak greedy algorithms

Cites Work

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• Projection pursuit
• On a conjecture of Huber concerning the convergence of projection pursuit regression
• Estimation of a multivariate density function using delta sequences
• Multivariate empirical characteristic functions

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