Date Available
4-26-2019
Year of Publication
2019
Degree Name
Master of Science (MS)
Document Type
Master's Thesis
College
Engineering
Department/School/Program
Computer Science
First Advisor
Dr. G. W. Wasilkowski
Abstract
This thesis is a representation of my contribution to the paper of the same name I co-author with Dr. Wasilkowski. It deals with linear problems defined on γ-weighted normed spaces of functions with infinitely many variables. In particular, I describe methods and discuss results for ε-truncation and ε-superposition methods. I show through these results that the ε-truncation and ε-superposition dimensions are small under modest error demand ε. These positive results are derived for product weights and the so-called anchored decomposition.
Digital Object Identifier (DOI)
https://doi.org/10.13023/etd.2019.218
Recommended Citation
Dingess, Jonathan M., "ε-SUPERPOSITION AND TRUNCATION DIMENSIONS IN AVERAGE AND PROBABILISTIC SETTINGS FOR ∞-VARIATE LINEAR PROBLEMS" (2019). Theses and Dissertations--Computer Science. 81.
https://uknowledge.uky.edu/cs_etds/81
