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A Universal Approximation Theorem for Tychonoff Spaces with Application to Spaces of Probability and Finite Measures
DownloadFall 2022
Universal approximation refers to the property of a collection of functions to approximate continuous functions. Past literature has demonstrated that neural networks are dense in continuous functions on compact subsets of finite-dimensional spaces, and this document extends those findings to...
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Functional and Topological Analysis of Acyl-CoA:Diacylglycerol Acyltransferase 2 From Saccharomyces cerevisiae
DownloadSpring 2011
Acyl-CoA:diacylglycerol acyltransferase (EC 2.3.1.20, DGAT or DAGAT) is a membrane protein found mainly in the endoplasmic reticulum (ER). It catalyzes the final step in the biosynthesis of triacylglyerol (TAG or TG), which is the principal repository of fatty acids for energy utilization and...
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Fall 2012
The main goal of this thesis is to explore various applications of persistent homology in statistical analysis of point-cloud data. In the introduction, after a brief historical overview, we provide some of the underlying concepts of persistence. Starting from Chapter 2 the focus is on analysis...
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Fall 2021
Multilevel converters (MLCs) have been widely accepted for decades in various applications, e.g. high-voltage transmission systems, medium-voltage drive systems, distributed generation integrations, low voltage power supply, etc. During the evolution of power electronics equip-ment, a large...