Browsing Mathematics (Faculty of) by Title
Now showing items 10281047 of 2802

A Fundamentally Topological Perspective on Graph Theory
(University of Waterloo, 2005)We adopt a novel topological approach for graphs, in which edges are modelled as points as opposed to arcs. The model of classical <i>topologized graphs</i> translates graph isomorphism into topological homeomorphism, ... 
Funding Liquidity and Limits to Arbitrage
(University of Waterloo, 20120614)Arbitrageurs play an important role in keeping market prices close to their fundamental values by providing market liquidity. Most arbitrageurs however use leverage. When funding conditions worsen they are forced to ... 
Future Sight: Dynamic Story Generation with Large Pretrained Language Models
(University of Waterloo, 20220823)Automated story generation has been an open problem in computing for many decades. Only with the recent wave of deep learning research have neural networks been applied to automated story generation tasks. Current deep ... 
A Fuzzylogic based Alert Prioritization Engine for IDSs: Architecture and Configuration
(University of Waterloo, 20080116)Intrusion Detection Systems (IDSs) are designed to monitor a networked environment and generate alerts whenever abnormal activities are detected. The number of these alerts can be very large making their evaluation by ... 
FX Spot Trading and Risk Management from A Market Maker’s Perspective
(University of Waterloo, 20110829)Due to the rapid development of computing technology and faster growth of financial industry, Foreign Exchange highfrequency trading has become substantially more prominent to today's market players, especially to bankers ... 
GainScheduled Control of a Quadcopter UAV
(University of Waterloo, 20150728)In this thesis we develop a gainscheduled control law for the quadcopter unmanned aerial vehicle (UAV). Techniques from linear control theory are introduced and used to construct adaptive proportional and proportionalintegral ... 
Gaining Information About a Quantum Channel Via Twirling
(University of Waterloo, 20080731)Finding correctable encoding that protects against a quantum process is in general a difficult task. Two main obstacles are that an exponential number of experiments are needed to gain complete information about the quantum ... 
Galerkin Finite Element Based Modeling of One Dimensional Packed Bed Reactor for Underground Coal Gasification (UCG) Process
(IEEE, 20201211)Mathematical models of a complex physicochemical underground coal gasification process involve multidimensional nonlinear partial differential equations (PDEs). Therefore, researchers always seek a suitable numerical ... 
General Geometry Computed Tomography Reconstruction
(University of Waterloo, 2006)The discovery of Carbon Nanotubes and their ability to produce Xrays can usher in a new era in Computed Tomography (CT) technology. These devices will be lightweight, flexible and portable. The proposed device, currently ... 
General Quadratic Risk Minimization: a Variational Approach
(University of Waterloo, 20160705)Meanvariance portfolio selection and meanvariance hedging are mainstream research topics in mathematical nance, which can be subsumed within the framework of a general problem of quadratic risk minimization. We study ... 
Generalisations of Roth's theorem on finite abelian groups
(University of Waterloo, 20121218)Roth's theorem, proved by Roth in 1953, states that when A is a subset of the integers [1,N] with A dense enough, A has a three term arithmetic progression (3AP). Since then the bound originally given by Roth has been ... 
A Generalization of M/G/1 Priority Models via Accumulating Priority
(University of Waterloo, 20160108)Priority queueing systems are oftentimes set up so that arriving customers are placed into one of $N$ distinct priority classes. Moreover, to determine the order of service, each customer (upon arriving to the system) is ... 
A Generalization of the Discounted Penalty Function in Ruin Theory
(University of Waterloo, 20080821)As ruin theory evolves in recent years, there has been a variety of quantities pertaining to an insurer's bankruptcy at the centre of focus in the literature. Despite the fact that these quantities are distinct from each ... 
Generalization on Textbased Games using Structured Belief Representations
(University of Waterloo, 20201223)Textbased games are complex, interactive simulations where a player is asked to process the text describing the underlying state of the world to issue textual commands for advancing in a game. Playing these games can be ... 
A Generalization to Signed Graphs of a Theorem of Sergey Norin and Robin Thomas
(University of Waterloo, 20191219)In this thesis we characterize the minimal nonplanar extensions of a signed graph. We consider the following question: Given a subdivision of a planar signed graph (G, Σ), what are the minimal structures that can be added ... 
Generalizations and Applications of the Stochastic Block Model to Basketball Games and Variable Selection Problems
(University of Waterloo, 20170124)Over the past decade, there has been an explosion of network data in a vast number of circumstances, such as the World Wide Web, social networks, gene interactions, economic networks, etc. Scientific analysis of networks ... 
Generalizations of AllorNothing Transforms and their Application in Secure Distributed Storage
(University of Waterloo, 20210126)An allornothing transform is an invertible function that maps s inputs to s outputs such that, in the calculation of the inverse, the absence of only one output makes it impossible for an adversary to obtain any information ... 
Generalizations of the Gap Principle and the ThueSiegel Principle, with Applications to Diophantine Equations
(University of Waterloo, 20190716)In this thesis we develop generalizations of two wellknown principles from the theory of Diophantine approximation, namely the gap principle and the ThueSiegel principle. Our results find their applications in the theory ... 
Generalizations to Corrections of Measurement Error Effects for Dynamic Treatment Regimes
(University of Waterloo, 20220819)Measurement error is a pervasive issue in questions of estimation and inference. Generally, any data which are measured with error will render the results of an analysis which ignores this error unreliable. This is a ... 
A Generalized Adversary Method for Quantum Query Complexity
(University of Waterloo, 20220520)Quantum query complexity measures the minimum number of queries a quantum algorithm needs to make to some input string to compute a function of that input. Query complexity models are widely used throughout quantum computing, ...