Search results | J. Murrey Atkins Library

Title: RANDOMIZED NUMERICAL LINEAR ALGEBRA FOR KERNEL MATRIX COMPRESSION
Author: Maniar, Saumya Kandarp
Date Created: 2020
Subjects--Topical: Mathematics
Description: Matrices are used significantly as a medium to store data in many applications likeData Science, Computer Science, Statistics, and Applied Mathematics. Matrix computationslike matrix multiplication, matrix inversion, eigenvalue decomposition, sing...

Title: Probabilistic Numerical Integration
Author: Smalenberger, Kelly
Date Created: 2020
Subjects--Topical: Mathematics
Description: In this dissertation, we consider the approximation of unknown or intractable integrals using quadrature, especially when the evaluation of these integrals is considered very costly. This is a central problem both within and without machine learni...

Title: QUANTUM RESISTANT REED-MULLER CODES ON McELIECE CRYPTOSYSTEM
Author: Elder, Jasmine
Date Created: 2020
Subjects--Topical: Mathematics, Information science
Description: Recently, Dr. Wang presented a new post quantum encryption scheme, Random Linear Code-Based Encryption scheme, RLCE, which is a variant to the McEliece encryption scheme. It is already well-known that the McEliece Encryption scheme based upon Reed...

Title: Diffusion Processes on Solvable Groups of Upper Triangular 3x3 matrices. Applications in Asian and Basket Options.
Author: Simonsen, Julia
Date Created: 2020
Subjects--Topical: Mathematics
Description: One of the questions in algebraic groups is about the asymptotic behavior of the probability of return of a random walk, which closely related on the growth rate of a group. Upper-triangular matrices form a group. Solvable groups have an exponenti...

Title: Computer Implementation of Symplectic Integrators and Their Applications to the N-Body Problem
Author: Casey, Rory
Date Created: 2020
Subjects--Topical: Mathematics, Astronomy
Description: This research has worked to develop a general computer implementation for symplectic algorithms applied to the N-body problem. A program was written to evolve an arbitrary N-body problem with an arbitrary symplectic integration algorithm so long a...

Title: Long Concavity of the Power Partition Function
Author: Benfield, Brennan
Date Created: 2020
Subjects--Topical: Mathematics
Description: The main result of this paper is to prove the log concavity of a particular restricted partition Pk(n) that enumerates the partitions of a positive integer into perfect kth powers. Further investigation utilizing MATHEMATICA software yields numeri...

Title: Analytics for Fault Detection and Energy Management in Large Retail Portfolios
Author: Raju, Suhas
Date Created: 2020
Subjects--Topical: Power resources, Mathematics, Artificial intelligence
Description: Energy managers responsible for large real-estate portfolios typically review Energy Star scores and Energy Use Intensity (EUI) to determine which facilities to target for retrofit or audit. In the case of a large portfolio of small retail facilit...

Title: THE SEMIPARAMETRIC MARK-SPECIFIC PROPORTIONAL HAZARDS MODEL FOR MULTIVARIATE MARKS VIA A SINGLE-INDEX
Author: Shao, Yuehan
Date Created: 2020
Subjects--Topical: Statistics, Mathematics
Description: Competing risk analysis is commonly applied to time-to-event data with finitely many causes of failure. It alters the probability of the occurrence of an event of interest broken down by a specific cause. Motivated by the HIV vaccine efficacy tria...