Browsing Mathematics (Faculty of) by Title
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Vacuum Energy in Expanding Spacetime and Superoscillation  Induced Resonance
(University of Waterloo, 20080520)This thesis is divided into two parts. The first part is a study of the general problem of vacuum energy or socalled `zero point fluctuations' of a quantum field on expanding spacetimes and the interplay between the ... 
The Valuation and Risk Management of a DB Underpin Pension Plan
(University of Waterloo, 20070802)Hybrid pension plans offer employees the best features of both defined benefit and defined contribution plans. In this work, we consider the hybrid design offering a defined contribution benefit with a defined benefit ... 
Valuation and Risk Management of Hedge Fund Investments under Alternative Fee Structures
(University of Waterloo, 20200921)Hedge funds have specialized fee structures, often including performance fees designed to align the incentives of investors and fund managers. However, hedge funds have faced intense scrutiny since the financial crisis, ... 
Valuation of Carbon Emission Allowances and Sustainable Investment
(University of Waterloo, 20190925)Rising awareness of the impacts of climate change is leading to a rapid development of emission trading schemes (ETS) globally as a marketbased means of emission control. Under a typical ETS, emission allowances are issued ... 
Valuing Hedge Fund Fees
(University of Waterloo, 2006)This thesis applies a Partial Integral Differential Equation model, along with a Monte Carlo approach to quantitatively analyze the no arbitrage value of hedge fund performance fees. From a noarbitrage point of view, ... 
Variability Anomalies in Software Product Lines
(University of Waterloo, 20140807)Software Product Lines (SPLs) allow variants of a software system to be generated based on the configuration selected by the user. In this thesis, we focus on C based software systems with buildtime variability using a ... 
A VariabilityAware Design Approach to the Data Analysis Modeling Process
(University of Waterloo, 20181025)The massive amount of current data has led to many different forms of data analysis processes that aim to explore this data to uncover valuable insights such as trends, anomalies and patterns. These processes support ... 
VariabilityAware Performance Prediction: A Case Study
(University of Waterloo, 20141028)Configurable software systems allow users to form configurations by selecting and deselecting features. The process of configuration creation may directly affect performance of the system in a nonlinear way because of ... 
VariabilityModelling Practices in Industrial Software Product Lines: A Qualitative Study
(University of Waterloo, 20130522)Many organizations have transitioned from singlesystems development to productline development with the goal of increasing productivity and facilitating mass customization. Variability modelling is a key activity in ... 
Variable Ranking by Solutionpath Algorithms
(University of Waterloo, 20120120)Variable Selection has always been a very important problem in statistics. We often meet situations where a huge data set is given and we want to find out the relationship between the response and the corresponding variables. ... 
Variable selection and prediction in biased samples with censored outcomes
(Springer, 20180101)With the increasing availability of large prospective disease registries, scientists studying the course of chronic conditions often have access to multiple data sources, with each source generated based on its own entry ... 
Variational Bayesian Learning and its Applications
(University of Waterloo, 20140103)This dissertation is devoted to studying a fast and analytic approximation method, called the variational Bayesian (VB) method, and aims to give insight into its general applicability and usefulness, and explore its ... 
Variational Inference for Text Generation: Improving the Posterior
(University of Waterloo, 20200810)Learning useful representations of data is a crucial task in machine learning with wide ranging applications. In this thesis we explore improving representations of models based on variational inference by improving the ... 
Variational Spectral Analysis
(University of Waterloo, 2000)We present results on smooth and nonsmooth variational properties of {it symmetric} functions of the eigenvalues of a real symmetric matrix argument, as well as {it absolutely symmetric} functions of the singular values ... 
Variational Stokes with Polynomial Reduced Fluid Model
(University of Waterloo, 20210121)Standard fluid simulators often apply operator splitting to independently solve for pressure and viscous stresses. This decoupling, however, induces incorrect free surface boundary conditions. Such methods are unable to ... 
Variational Stokes: A Unified Pressureviscosity Solver for Accurate Viscous Liquids
(Association for Computing Machinery, 20170720)We propose a novel unsteady Stokes solver for coupled viscous and pressure forces in gridbased liquid animation which yields greater accuracy and visual realism than previously achieved. Modern fluid simulators treat ... 
Variations on a Theme: Graph Homomorphisms
(University of Waterloo, 20130830)This thesis investigates three areas of the theory of graph homomorphisms: cores of graphs, the homomorphism order, and quantum homomorphisms. A core of a graph X is a vertex minimal subgraph to which X admits a ... 
Variations on the Erdos Discrepancy Problem
(University of Waterloo, 20120104)The Erdős discrepancy problem asks, "Does there exist a sequence t = {t_i}_{1≤i<∞} with each t_i ∈ {1,1} and a constant c such that ∑_{1≤i≤n} t_{id} ≤ c for all n,c ∈ ℕ = {1,2,3,...}?" The discrepancy of t equals ... 
Variations on the Theme of Caching
(University of Waterloo, 2005)This thesis is concerned with caching algorithms. We investigate three variations of the caching problem: web caching in the Torng framework, relative competitiveness and caching with request reordering. <br /><br /> ... 
Vector Graphics for Realtime 3D Rendering
(University of Waterloo, 20090127)Algorithms are presented that enable the use of vector graphics representations of images in texture maps for 3D real time rendering. Vector graphics images are resolution independent and can be zoomed arbitrarily ...