Dissertations and Theses  Mathematics, Statistics, and Computer Science
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The Frobenius Complexity of Hibi Rings
(20180816)We study the Frobenius complexity of Hibi rings over fields of characteristic p. In particular, for a certain class of Hibi rings (which we call anticanonical level), we compute the limit of the Frobenius complexity as p ... 
Parametric and Nonparametric Approaches for Estimating RiskNeutral Density
(20180605)In this dissertation, we propose one parametric method and one nonparametric method for estimating the riskneutral density, which is a fundamental concept in pricing financial derivatives, risk management, and assessing ... 
Extremal Problems on Directed Hypergraphs and the ErdösGyárfás Ramsey Problem Variant for Graphs
(20180530)Let a 2 to 1 directed hypergraph be a 3uniform hypergraph where every edge has two tail vertices and one head vertex. For any such directed hypergraph F let the nth extremal number of F be the maximum number of edges that ... 
Topological Equivalences of Einfinity Differential Graded Algebras
(20180618)Two DGAs are said to be topologically equivalent when the corresponding Eilenberg–Mac Lane ring spectra are weakly equivalent as ring spectra. Quasiisomorphic DGAs are topologically equivalent, but the converse is not ... 
Topological Ktheory and Invertibility
(20180501)In this dissertation, a theory of topological Ktheory of dgcategories relative to an arbitrary base scheme is developed. This is then used to study the topological Ktheory of Azumaya algebras and relate it to the ... 
ScoreMatching Representative Approach for Big Data Analysis with Generalized Linear Models
(20180710)We propose a fast and efficient strategy, called the representative approach, with linear models and generalized linear models for big data analysis, and in particular for distributed dataset. With a given partitioning of ... 
HARVEY: On Runtime Verifcation of CyberPhysical Spaces
(20180817)Cyberphysical spaces are complex environments with embedded computing and communi cation capabilities, where there’s no clear boundary between digital and physical world. Smart cities or smart buildings are common examples ... 
Shape Theory in Homotopy Theory and Algebraic Geometry
(20180615)This work defines the étale homotopy type in the context of nonarchimedean geometry, in both Berkovich’s and Huber’s formalisms. To do this we take the shape of a site’s associated hypercomplete 1topos. This naturally ... 
Effects of Audio Dilation and Listening Skill Ability for English as a Second Language
(20180615)This project examines the effects of an audio dilation technique to slow the speech rate of audio for English as a Second language individuals, using listening skill assessment tests from the Test of English as a Foreign ... 
Ensuring Privacy in Legacy Web Applications through Multiple Relations Views
(20180606)This thesis is focused on the protection of legacy Web Applications against information leakage as well as the defense against well known attacks such as some form of SQLInjection. Many legacy Web Applications are unsafe ... 
Examples of Isotrivial Elliptic Threefolds over P^2 and Their Discriminants
(20180531)We constructed two elliptic threefold over P^2. We studied their discriminant loci and singular fibers. 
Exploring Deep Learning Techniques for Realtime Graphics
(20180510)Simulating reallife light in a virtual world is computationally very expensive even in a limited capacity. The quality of images synthesized using computer graphics algorithms for offline rendering used in movies has ... 
Effective Divisors on Kontsevich Moduli Spaces
(20180511)We study the cone of effective divisors on Kontsevich's moduli space of genus 0 stable maps to projective space in the case where map is equipped with a marked point on the domain curve, extending previous work of Coskun, ... 
Broad Learning in Multiple Heterogeneous Domains
(20180417)Recent years have witnessed the flourishing of heterogeneous data from various types of domains. For example, online review sites (like Amazon and Yelp) have access to contextual information of shopping histories of users, ... 
Scales, Diamond and the Strong Tree Property
(20180820)In this thesis, I prove two consistency results in set theory. The first concerns GCH, very good and bad scales, and the failure of diamond at the successor of a singular. The second concerns the failure of SCH and arbitrary ... 
MYAIR Project: Study on Semantic Location and Activity Recognition Algorithms for iOS Systems
(20180810)SLAR (Semantic Location and Activity Recognition) algorithms studied on iOS systems. This thesis provides an algorithm for concurrent detection of semantic location and activity of the user, within a range of nine different ... 
Detection of Suspicious Users Posting Claims about Cancer on Twitter
(20180809)Due to the massive success of social media, online usergenerated content has increased exponentially in the last years. Twitter, as a microblogging platform, allows users to share information about their opinions or ... 
Limit FSignature Functions of Diagonal Hypersurfaces
(20180806)We study limit Fsignature functions for diagonal hypersurfaces. We show that these limits exist, that the limits of the derivatives exist, and that these facts recover a number of previously known results. Finally, we ... 
A Nonlinear Least Squares Framework for Periodic Grating Identification with a HOPS Implementation
(20180801)This thesis focuses upon the scattering of timeharmonic plane waves by a periodic interface. In particular, we consider an inverse problem which involves reconstruction of the interface when provided with measured scattered ... 
Reliability Issues among Android Components: Analysis, Testing and Solutions
(20180801)Reliability is one of the aspects at the core of every operating system for its impact on the user experience. We explore the current status of the reliability in the interactions among Android applications components, ...