Abstract
Abstract A new method for nonparametric multiple regression is presented. The procedure models the regression surface as a sum of general smooth functions of linear combinations of the predictor variables in an iterative manner. It is more general than standard stepwise and stagewise regression procedures, does not require the definition of a metric in the predictor space, and lends itself to graphical interpretation. Key Words: Nonparametric regressionSmoothingProjection pursuitSurface approximation
Keywords
Affiliated Institutions
Related Publications
Projection Pursuit Regression
Abstract A new method for nonparametric multiple regression is presented. The procedure models the regression surface as a sum of general smooth functions of linear combinations...
Projection Pursuit
Projection pursuit is concerned with "interesting" projections of high dimensional data sets, with finding such projections by machine, and with using them for nonparametric fit...
Multidimensional Additive Spline Approximation
We describe an adaptive procedure that approximates a function of many variables by a sum of (univariate) spline functions $s_m $ of selected linear combinations $a_m \cdot x$ o...
Generalized Additive Models
Likelihood-based regression models such as the normal linear regression model and the linear logistic model, assume a linear (or some other parametric) form for the covariates $...
Exploratory Projection Pursuit
Abstract A new projection pursuit algorithm for exploring multivariate data is presented that has both statistical and computational advantages over previous methods. A number o...
Publication Info
- Year
- 1981
- Type
- article
- Volume
- 76
- Issue
- 376
- Pages
- 817-817
- Citations
- 473
- Access
- Closed
External Links
Social Impact
Social media, news, blog, policy document mentions
Citation Metrics
Cite This
Identifiers
- DOI
- 10.2307/2287576