Mathematics Theses and Dissertations
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Locally Recoverable Codes From Algebraic Curves
(2018)Locally recoverable (LRC) codes have the property that erased coordinates can be recovered by retrieving a small amount of the information contained in the entire codeword. An LRC code achieves this by making each coordinate ... 
UNDERSTANDING EXTREME WAVES USING WAVELETS: ANALYSIS, ALGORITHMS, AND NUMERICAL STUDIES
(2018)A method for studying extreme wave solutions of the 1+1D nonlinear Schr\"{o}dinger equation (NLSE) with periodic boundary conditions is presented in this work. The existing methods for solving NLSE in the periodic case ... 
Data Fusion based on the Density Ratio Model
(2018)A vast amount of the statistical literature deals with a single sample coming from a distribution where the problem is to make inferences about the distribution by estimation and testing procedures. Data fusion is a process ... 
ESSAYS IN STATISTICAL ANALYSIS: ISOTONIC REGRESSION AND FILTERING
(2018)In many realworld applications in optimal information collection and stochastic approximation, statistical estimators are often constructed to learn the true parameter value of some utility functions or underlying ... 
Motivic Cohomology of Groups of Order p^3
(2018)In this thesis we compute the motivic cohomology ring (also known as Bloch's higher Chow groups) with finite coefficients for the two nonabelian groups of order $27$, thought of as affine algebraic groups over $\mathbb{C}$. ...