Mathematics (Faculty of)
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 .
Collections in this community
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Android Access Control Recommendation as a Deep Learning Task
(University of Waterloo, 2023-09-25)Android enforces access control checks to protect sensitive framework APIs. If not properly protected, framework APIs can open the door for malicious apps to access sensitive resources without having the necessary privileges. ... -
Sampling-based Predictive Database Buffer Management
(University of Waterloo, 2023-09-25)This thesis presents a database buffer caching policy that uses information about long- running scans to estimate future accesses. These estimates are used to approximate the optimal caching policy, which requires knowledge ... -
High Level Concurrency in C∀
(University of Waterloo, 2023-09-25)Concurrent programs are notoriously hard to write and even harder to debug. Furthermore concurrent programs must be performant, as the introduction of concurrency into a program is often done to achieve some form of speedup. ... -
The Pair Cache Problem
(University of Waterloo, 2023-09-25)This thesis investigates the pair cache problem, a unique variation of the classic cache replacement problem where each element is stored in two pages, and the cache only needs one of these pages to respond to a query. The ... -
Mindless Scroll: An Infinite Scroll Abstract Colouring App for Mindfulness
(University of Waterloo, 2023-09-25)We design and evaluate Mindless Scroll, a mobile application for mindfulness that encourages a slow and deliberate approach to colouring. The app renders an infinite scroll of generated geometric tilings that reveal ... -
LOW-RESOLUTION CUSTOMIZABLE UBIQUITOUS DISPLAYS
(University of Waterloo, 2023-09-22)In a conventional display, pixels are constrained within the rectangular or circular boundaries of the device. This thesis explores moving pixels from a screen into the surrounding environment to form ubiquitous displays. ... -
Uniform Generation of Graphical Realizations of Joint Degree Matrices
(University of Waterloo, 2023-09-21)In this thesis, we introduce JDM_GEN, an algorithm designed to uniformly generate graphical realizations of a given joint degree matrix. Amanatidis and Kleer previously employed an MCMC-based method to address this ... -
Fire Detection using RF Signals
(University of Waterloo, 2023-09-20)Structural fires can be a major threat to life and property. Contemporary smoke alarms suffer from drawbacks such as long response times, lack of penetration through walls, and nuisance (false-positive) alarms. In this ... -
Rigidity of near-optimal superdense coding protocols
(University of Waterloo, 2023-09-19)Rigidity in quantum information theory refers to the stringent constraints underlying optimal or near-optimal performance in certain quantum tasks. This property plays a crucial role in verifying untrusted quantum devices ... -
Optimal Decumulation for Retirees using Tontines: a Dynamic Neural Network Based Approach
(University of Waterloo, 2023-09-19)We introduce a new approach for optimizing neural networks (NN) using data to solve a stochastic control problem with stochastic constraints. We utilize customized activation functions for the output layers of the NN, ... -
A Robust Neural Network Approach to Optimal Decumulation and Factor Investing in Defined Contribution Pension Plans
(University of Waterloo, 2023-09-18)In this thesis, we propose a novel data-driven neural network (NN) optimization framework for solving an optimal stochastic control problem under stochastic constraints. The NN utilizes customized output layer activation ... -
Dynamic Treatment Regimes and Interference in Dyadic Networks: A Joint Optimization Approach
(University of Waterloo, 2023-09-18)Identifying interventions that are optimally tailored to each individual is of significant interest in various fields, in particular precision medicine. Dynamic treatment regimes (DTRs) employ sequences of decision rules ... -
Distance-Biregular Graphs and Orthogonal Polynomials
(University of Waterloo, 2023-09-15)This thesis is about distance-biregular graphs– when they exist, what algebraic and structural properties they have, and how they arise in extremal problems. We develop a set of necessary conditions for a distance-biregular ... -
Effective Math-Aware Ad-Hoc Retrieval based on Structure Search and Semantic Similarities
(University of Waterloo, 2023-09-15)Despite the prevalence of digital scientific and educational contents on the Internet, only a few search engines are capable to retrieve them efficiently and effectively. The main challenge in freely searching scientific ... -
Differentially-private Multiparty Clustering
(University of Waterloo, 2023-09-13)In an era marked by the widespread application of Machine Learning (ML) across diverse domains, the necessity of privacy-preserving techniques has become paramount. The Euclidean k-Means problem, a fundamental component ... -
Formation Control of Multi-agent Systems via Impulsive Strategy
(University of Waterloo, 2023-09-08)Multi-agent systems (MASs) involving cooperative control problems such as consensus tracking of distributed networks, flocking control with obstacle avoidance, and attitude alignment have received a considerable amount of ... -
Theory and Mitigation of Crosstalk on Quantum Information Processors
(University of Waterloo, 2023-09-08)Successfully implementing large-scale quantum computation has proven to be an exceptionally arduous task. Decoherence and imperfect control limit the coherent manipulation of large ensembles of particles. While quantum ... -
Transforming the Reading Experience of Scientific Documents with Polymorphism
(University of Waterloo, 2023-09-07)Despite the opportunities created by digital reading, documents remain mostly static and mimic paper. Any improvement in the shape or form of documents has to come from authors who contend with current digital formats, ... -
Risk Measures of Stop-loss and Limited Loss Random Variables under Model Uncertainty with Applications in Insurance
(University of Waterloo, 2023-09-07)In this thesis, our focus is on the optimization of reinsurance design, accounting for the influence of model uncertainty. The following chapters outline our approach: In Chapter 2, we identify the worst-case distributions ... -
Methods in Functional Data Analysis: Forecast Evaluation, Robust Serial Dependence Measures, and a Spatial Factor Copula Model
(University of Waterloo, 2023-09-05)With advancements in technology, new types of data have become available, including functional data, which observations in the form of functions or curves rather than scalar or vector-valued quantities. This emerging area ...
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