The Computation of Laplacian Smoothing Splines with Examples.

Abstract

Laplacian Smoothing Splines (LSS) are presented as generalizations of graduation, cubic and thin plate splines. The method of generalized cross validation (GCV) to choose the smoothing parameter is described. GCV is used in the algorithm for the computation of LSS'S. An outline of a computer program which implements this algorithm is presented along with a description of the use of the program. Examples in one, two and three dimensions demonstrate how to obtain estimates of function values with confidence intervals and estimates of first and second derivatives. Probability plots are used as a diagnostic tool to check for model inadequacy. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1981
Accession Number
ADA108746

Entities

People

  • James G. Wendelberger

Organizations

  • University of Wisconsin Madison Department of Statistics

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computations
  • Computer Programs
  • Computers
  • Data Analysis
  • Data Sets
  • Information Science
  • Intervals
  • Linear Systems
  • Probability
  • Random Variables
  • Regression Analysis
  • Statistical Algorithms
  • Statistical Analysis
  • Statistics
  • Validation

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Instructional Design and Training Evaluation.