Abstract
We make use of local methods to estimate a function from experimental measures; we study the approximation error. For what deals the width of the local support, for a specific application, we formalize a criterium already found experimentally.
Keywords
Affiliated Institutions
Related Publications
Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting
Abstract Locally weighted regression, or loess, is a way of estimating a regression surface through a multivariate smoothing procedure, fitting a function of the independent var...
From Stein's Unbiased Risk Estimates to the Method of Generalized Cross Validation
This paper concerns the method of generalized cross validation (GCV), a promising way of choosing between linear estimates. Based on Stein estimates and the associated unbiased ...
Some Asymptotic Results on Generalized Penalized Spline Smoothing
Summary The paper discusses asymptotic properties of penalized spline smoothing if the spline basis increases with the sample size. The proof is provided in a generalized smooth...
Fitting Surfaces to Scattered Data
A variety of numerical methods for fitting a function to data given at a set of points scattered throughout a domain in the plane are surveyed. Four classes of methods are discu...
Scattered Data Approximation
Many practical applications require the reconstruction of a multivariate function from discrete, unstructured data. This book gives a self-contained, complete introduction into ...
Publication Info
- Year
- 1985
- Type
- book-chapter
- Pages
- 51-60
- Citations
- 2
- Access
- Closed
External Links
Social Impact
Social media, news, blog, policy document mentions
Citation Metrics
Cite This
Identifiers
- DOI
- 10.1007/978-3-0348-9321-3_7
- PMID
- 41321684
- PMCID
- PMC12657676