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Skip to Search Results- 1Comeau, Phil (Department of Renewable Resources)
- 1Gannon, Terry (Mathematical and Statistical Sciences)
- 1Heo, Giseon (Dentistry)
- 1Hillen, Thomas (Mathematical and Statistical Sciences)
- 1Kouritzin, Michael (Mathematical and Statistical Sciences)
- 1Lewis, Mark (Department of Mathematical and Statistical Sciences)
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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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Fall 2013
Spotting in the context of wildland fire refers to the creation of new fires, downwind from an existing fire front, where the new fires result due to the launch, and subsequent fuel bed ignition upon landing, of burning plant ma- terial released from the main front. We will present a new...
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Fall 2017
This thesis focuses on formulating and analyzing non linear models for microbial dynamics vis-a-vis human and environmental health. Firstly, we develop and investigate a stoichiometric organic matter decomposition model in a chemostat culture that incorporates the dynamics of grazers. This...
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Fall 2013
The Earth’s forests are of great economic, ecological, and social importance, and sustaining them is paramount for mitigating climate change. To successfully sus- tain forests we must understand their internal demographic dynamics and their relationship to climate. In this thesis, I developed...
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Fall 2015
Movement ecology thrives from a successful synergy of data and models. In a field where experiments are difficult or impossible, linking field data with mathematical and statistical models allows us to test hypotheses and increase our quantitative understanding of movement processes. Owing to...
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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...