Browsing Mathematics (Faculty of) by Title
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Implementation of Kalman Filtering for DifferentialAlgebraic Equations
(University of Waterloo, 20200928)This thesis describes two Kalman filters which are usable on semiexplicit index1 differentialalgebraic equations, prior to which a discussion of linear and nonlinear Kalman filters is presented. Performance between ... 
An Implementation of the Discontinuous Galerkin Method on Graphics Processing Units
(University of Waterloo, 20130507)Computing highlyaccurate approximate solutions to partial differential equations (PDEs) requires both a robust numerical method and a powerful machine. We present a parallel implementation of the discontinuous Galerkin ... 
Implementation of the Metal Privileged Architecture
(University of Waterloo, 20200831)The privileged architecture of modern computer architectures is expanded through new architectural features that are implemented in hardware or through instruction set extensions. These extensions are tied to particular ... 
Implementations of iterative algorithms in Hadoop and Spark
(University of Waterloo, 20140729)Facing the challenges of large amounts of data generated by various companies (such as Facebook, Amazon, and Twitter), cloud computing frameworks such as Hadoop are used to store and process the Big Data. Hadoop, an open ... 
Implementing a Functional Language for Flix
(University of Waterloo, 20160915)Static program analysis is a powerful technique for maintaining software, with applications such as compiler optimizations, code refactoring, and bug finding. Static analyzers are typically implemented in generalpurpose ... 
Implementing Overloading and Polymorphism in Cforall
(University of Waterloo, 2003)The programming language Cforall extends the C language with, among other things, overloading, parametric polymorphism, and functions that can return multiple values from a single call. This thesis presents an outline ... 
Implementing the SchoofElkiesAtkin Algorithm with NTL
(University of Waterloo, 20130430)In elliptic curve cryptography, cryptosystems are based on an additive subgroup of an elliptic curve defined over a finite field, and the hardness of the Elliptic Curve Discrete Logarithm Problem is dependent on the order ... 
Implied Volatility Modelling
(University of Waterloo, 20140108)We propose extensions on calibrating the volatility surface through multifactor regression models. The proposed models are backtested against the historical S&P 500 prices during both the volatile and nonvolatile periods ... 
Importance Sampling and Stratification for Copula Models
(Springer, 2018)An importance sampling approach for sampling from copula models is introduced. The proposed algorithm improves Monte Carlo estimators when the functional of interest depends mainly on the behaviour of the underlying random ... 
Importance Sampling and Stratification Techniques for Multivariate Models with LowDimentional Structures
(University of Waterloo, 20171222)Many problems in finance and risk management involve the computation of quantities related to rareevent analysis. As many financial problems are highdimensional, the quan tities of interest rarely have analytical forms ... 
The Impress Context Store: A Coordination Framework for ContextAware Systems
(University of Waterloo, 2006)The dream of weaving technology into our everyday fabric of life is recently being made possible by advances in ubiquitous computing and sensor technologies. Countless sensors of various sizes have made their way into ... 
An Improved Algorithm for Tor Circuit Scheduling
(University of Waterloo, 20100708)Tor is a popular anonymitypreserving network, consisting of routers run by volunteers all around the world. It protects Internet users’ privacy by relaying their network traffic through a series of routers, thus concealing ... 
Improved approximation guarantees for lowerbounded facility location problem
(University of Waterloo, 20100928)We consider the lowerbounded facility location (LBFL) problem (, also known as loadbalanced facility location), which is a generalization of uncapacitated facility location (UFL) problem where each open facility is ... 
Improved Model Poisoning Attacks and Defenses in Federated Learning with Clustering
(University of Waterloo, 20220512)Federated Learning (FL) allows multiple participants to collaboratively train a deep learning model without sharing their private training data. However, due to its distributive nature, FL is vulnerable to various poisoning ... 
Improved Particle Filter Based Localization and Mapping Techniques
(University of Waterloo, 20080428)One of the most fundamental problems in mobile robotics is localization. The solution to most problems requires that the robot first determine its location in the environment. Even if the absolute position is not necessary, ... 
Improvements in the Accuracy of Pairwise Genomic Alignment
(University of Waterloo, 20100416)Pairwise sequence alignment is a fundamental problem in bioinformatics with wide applicability. This thesis presents three new algorithms for this wellstudied problem. First, we present a new algorithm, RDA, which aligns ... 
Improvements to TransitiveClosurebased Model Checking in Alloy
(University of Waterloo, 20180119)Model checking, which refers to the verification of temporal properties of a transition system, is a common formal method for verifying models. Transitiveclosurebased model checking (TCMC), developed by Vakili et al., ... 
Improving Artificial Neural Network Models for Predicting Hourly Water Consumption
(University of Waterloo, 20180926)Smart water meter devices are now widely installed in single family residences, allowing water consumption data to be collected at a high resolution from both the temporal and spatial perspectives. Such data allows improved ... 
Improving Coarsening and Interpolation for Algebraic Multigrid
(University of Waterloo, 2006)Algebraic multigrid (AMG) is one of the most efficient algorithms for solving large sparse linear systems on unstructured grids. Classical coarsening schemes such as the standard RugeStüben method [14] can lead ... 
Improving Convergence Rates in Multiagent Learning Through Experts and Adaptive Consultation
(University of Waterloo, 20070507)Multiagent learning (MAL) is the study of agents learning while in the presence of other agents who are also learning. As a field, MAL is built upon work done in both artificial intelligence and game theory. Game theory ...