Browsing Mathematics (Faculty of) by Title
Now showing items 1092-1111 of 2993
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The Frobenius Problem in a Free Monoid
(University of Waterloo, 2009-08-21)Given positive integers c1,c2,...,ck with gcd(c1,c2,...,ck) = 1, the Frobenius problem (FP) is to compute the largest integer g(c1,c2,...,ck) that cannot be written as a non-negative integer linear combination of c1,c2,...,ck. ... -
From Astrophysics of Galaxies to Binary Black Hole Mergers: Theoretical Modelling of the Gravitational-Wave Bias Parameter
(University of Waterloo, 2023-01-04)In the past few decades, the field of cosmology has become a fascinating field of study in physics. The computational advances and precision observational measurements such as Cosmic Microwave Background (CMB) measurements ... -
From Atoms to the Solar System: Generating Lexical Analogies from Text
(University of Waterloo, 2006)A <em>lexical analogy</em> is two pairs of words (<em>w</em><sub>1</sub>, <em>w</em><sub>2</sub>) and (<em>w</em><sub>3</sub>, <em>w</em><sub>4</sub>) such that the relation between <em>w</em><sub>1</sub> and <em>w</em>< ... -
From Fundamentals to Spectroscopic Applications of Density Functional Theory
(University of Waterloo, 2020-05-29)Density functional theory (DFT) and its time-dependent counterpart (TDDFT) are crucial tools in material discovery, drug design, biochemistry, catalysis, and nanoscience. However, despite its exact theoretical basis, ... -
From Gravity to Hopf Algebra Lattice Models
(University of Waterloo, 2019-10-02)This thesis addresses three different problems related to quantum gravity. In the first problem we will discuss the two natural ways to encode gravity through geometric structures. One is the much acclaimed Einstein's ... -
Fully Automated Translation of BoxTalk to Promela
(University of Waterloo, 2011-08-26)Telecommunication systems are structured to enable incremental growth, so that new telecommunication features can be added to the set of existing features. With the addition of more features, certain existing features may ... -
Function-valued Mappings and SSIM-based Optimization in Imaging
(University of Waterloo, 2015-08-27)In a few words, this thesis is concerned with two alternative approaches to imag- ing, namely, Function-valued Mappings (FVMs) and Structural Similarity Index Measure (SSIM)-based Optimization. Briefly, a FVM is a mathematical ... -
Functional Finite Mixture Modelling and Estimation
(University of Waterloo, 2023-09-01)Functional data analysis is a branch of statistics that studies models for information represented by functions. Meanwhile, finite mixture models serve as a conerstone in the field of cluster analysis, offering a flexible ... -
Fundamental Limitations of Semi-Supervised Learning
(University of Waterloo, 2009-05-05)The emergence of a new paradigm in machine learning known as semi-supervised learning (SSL) has seen benefits to many applications where labeled data is expensive to obtain. However, unlike supervised learning (SL), which ... -
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, 2012-06-14)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, 2022-08-23)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 Fuzzy-logic based Alert Prioritization Engine for IDSs: Architecture and Configuration
(University of Waterloo, 2008-01-16)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, 2011-08-29)Due to the rapid development of computing technology and faster growth of financial industry, Foreign Exchange high-frequency trading has become substantially more prominent to today's market players, especially to bankers ... -
Gain-Scheduled Control of a Quadcopter UAV
(University of Waterloo, 2015-07-28)In this thesis we develop a gain-scheduled control law for the quadcopter unmanned aerial vehicle (UAV). Techniques from linear control theory are introduced and used to construct adaptive proportional and proportional-integral ... -
Gaining Information About a Quantum Channel Via Twirling
(University of Waterloo, 2008-07-31)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, 2020-12-11)Mathematical models of a complex physicochemical underground coal gasification process involve multidimensional non-linear 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 X-rays can usher in a new era in Computed Tomography (CT) technology. These devices will be lightweight, flexible and portable. The proposed device, currently ... -
A General Neural Network Methodology for Multi-period Portfolio Optimization
(University of Waterloo, 2024-01-22)In this thesis, we propose a neural network methodology for solving the multi-period portfolio optimization problem. Our approach formulates the problem as a stochastic optimal control problem and uses a single neural ... -
General Quadratic Risk Minimization: a Variational Approach
(University of Waterloo, 2016-07-05)Mean-variance portfolio selection and mean-variance 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 ...