Exact minimax wavelet designs for discrimination

Liu, Yi, 1978- (2004) Exact minimax wavelet designs for discrimination. Masters thesis, Memorial University of Newfoundland.

[img] [English] PDF - Accepted Version
Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission.

Download (2169Kb)

Abstract

In this thesis, we consider the problem of constructing designs in order to determine the number of wavelet terms that should be included in the wavelet representation of unknown nonparametric response curves. Our approach is to choose designs that will maximize, in some sense, the difference between the better model and the other competing wavelet models. Simulated annealing algorithm is developed to carry out exact, rather than approximate, minimax designs for discrimination between competing wavelet regression models. Sequential and nonsequential designs are discussed along with some examples based on the multiwavelet system and Daubechies wavelet system.

Item Type: Thesis (Masters)
URI: http://research.library.mun.ca/id/eprint/10910
Item ID: 10910
Additional Information: Bibliography: leaves 75-83.
Department(s): Science, Faculty of > Mathematics and Statistics
Date: 2004
Date Type: Submission
Library of Congress Subject Heading: Chebyshev approximation; Wavelets (Mathematics)

Actions (login required)

View Item View Item

Downloads

Downloads per month over the past year

View more statistics