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Welcome to the Faculty of Mathematics community.

This community and it’s collections are organized using the University of Waterloo's Faculties and Academics structure. In this structure:

• Communities are Faculties or Affiliated Institutions
• Collections are Departments or Research Centres

Research outputs are organized by type (eg. Master Thesis, Article, Conference Paper).

New collections following this structure will be created UPON REQUEST .

### Recent deposits

• #### Building a Framework for High-performance In-memory Message-Oriented Middleware ﻿

(University of Waterloo, 2019-11-28)
Message-Oriented Middleware (MOM) is a popular class of software used in many distributed applications, ranging from business systems and social networks to gaming and streaming media services. As workloads continue to ...
• #### Health Misinformation in Search and Social Media ﻿

(University of Waterloo, 2019-11-28)
People increasingly rely on the Internet in order to search for and share health-related information. Indeed, searching for and sharing information about medical treatments are among the most frequent uses of online data. ...
• #### Compressible Matrix Algebras and the Distance from Projections to Nilpotents ﻿

(University of Waterloo, 2019-11-15)
In this thesis we address two problems from the fields of operator algebras and operator theory. In our first problem, we seek to obtain a description of the unital subalgebras $\mathcal{A}$ of $\mathbb{M}_n(\mathbb{C})$ ...
• #### Optimal Controller and Actuator Design for Nonlinear Parabolic Systems ﻿

(2019-10-08)
Many physical systems are modeled by nonlinear parabolic differential equations, such as the Kuramoto-Sivashinsky (KS) equation. In this paper, the existence of a concurrent optimal controller and actuator design is ...
• #### 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 ...
• #### Switching GAN-based Image Filters to Improve Perception for Autonomous Driving ﻿

(University of Waterloo, 2019-10-24)
Autonomous driving holds the potential to increase human productivity, reduce accidents caused by human errors, allow better utilization of roads, reduce traffic accidents and congestion, free up parking space and provide ...
• #### Virtual Network Embedding with Path-based Latency Guarantees in Elastic Optical Networks ﻿

(University of Waterloo, 2019-10-21)
Elastic Optical Network (EON) virtualization has recently emerged as an enabling technology for 5G network slicing. A fundamental problem in EON slicing (known as Virtual Network Embedding (VNE)) is how to efficiently map ...
• #### Application of the LANS-alpha Model to Gravity Currents ﻿

(University of Waterloo, 2019-10-21)
This thesis aims to investigate how HERCULES performs when running a lock-exchange gravity current case. The LANS-alpha model with stratification is also tested as a subgrid model in HERCULES using the same gravity current ...
• #### The Computational Advantages of Intrinsic Plasticity in Neural Networks ﻿

(University of Waterloo, 2019-10-17)
In this work, I study the relationship between a local, intrinsic update mechanism and a synaptic, error-based learning mechanism in ANNs. I present a local intrinsic rule that I developed, dubbed IP, that was inspired by ...
• #### Algebraic Approaches to State Complexity of Regular Operations ﻿

(University of Waterloo, 2019-10-15)
The state complexity of operations on regular languages is an active area of research in theoretical computer science. Through connections with algebra, particularly the theory of semigroups and monoids, many problems ...
• #### 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 ...
• #### Physical Modelling and the Associated Acoustic Behaviour of Trumpets and Trombones ﻿

(University of Waterloo, 2019-09-30)
Accurately modelling the production of realistic musical notes in brass instruments is no easy task. Compared to woodwind instruments, brass instruments are considerably longer and constructed with bends, valves or coils, ...
• #### Valuation of Carbon Emission Allowances and Sustainable Investment ﻿

(University of Waterloo, 2019-09-25)
Rising awareness of the impacts of climate change is leading to a rapid development of emission trading schemes (ETS) globally as a market-based means of emission control. Under a typical ETS, emission allowances are issued ...
• #### Quantitative Analysis of Extreme Risks and Extremal Dependence in Insurance and Finance ﻿

(University of Waterloo, 2019-09-25)
In this thesis, we aim at a quantitative understanding of extreme risks and extremal depen- dence in insurance and finance. We use regularly varying distribution functions in extreme value theory (EVT) to model extreme ...
• #### Parameter and Structure Learning Techniques for Sum Product Networks ﻿

(University of Waterloo, 2019-09-25)
Probabilistic graphical models (PGMs) provide a general and flexible framework for reasoning about complex dependencies in noisy domains with many variables. Among the various types of PGMs, sum-product networks (SPNs) ...
• #### Optimal Actuator Design for Nonlinear Systems ﻿

(University of Waterloo, 2019-09-24)
For systems modeled by partial differential equations (PDE's), the location and shape of the actuators can be regarded as a design variable and included as part of the controller synthesis procedure. Optimal actuator ...
• #### Source Code Stylometry and Authorship Attribution for Open Source ﻿

(University of Waterloo, 2019-09-23)
Public software repositories such as GitHub make transparent the development history of an open source software system. Source code commits, discussions about new features and bugs, and code reviews are stored and carefully ...
• #### Parallel Paths Analysis Using Function Call Graphs ﻿

(University of Waterloo, 2019-09-23)
Call graphs have been used widely in different software engineering areas. Since call graphs provide us with detailed information about the structure of software elements and components and how they are connected with each ...
• #### SFour: A Protocol for Cryptographically Secure Record Linkage at Scale ﻿

(University of Waterloo, 2019-09-23)
The prevalence of various (and increasingly large) datasets presents the challenging problem of discovering common entities dispersed across disparate datasets. Solutions to the private record linkage problem (PRL) aim to ...
• #### Modelling, Design, and Control of Energy Systems: A Data-Driven Approach ﻿

(University of Waterloo, 2019-09-23)
In 2018, nearly two-thirds of newly installed global power generation has come from renewable energy sources. Distributed installations of solar photovoltaic (PV) panels have been at the forefront of this global energy ...

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