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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Design and Analysis of Experiments on Networks
(University of Waterloo, 2024-04-17)In the design and analysis of experiments, it is often assumed that experimental units are independent, in the sense that the treatment assigned to one unit will not affect the potential outcome of another unit. However, ... -
Using AI-Supported Onboarding Systems in Video Games to Improve Player Experience
(University of Waterloo, 2024-04-15)Video games face the challenge of providing onboarding that motivates new players to engage with a game beyond their initial experience. Interactive media inherently influences players’ cognitive load during the learning ... -
Measurement System Assessment Studies for Multivariate and Functional Data
(University of Waterloo, 2024-04-15)A measurement system analysis involves understanding and quantifying the variability in measurement data attributed to the measurement system. A primary goal of such analyses is to assess the measurement system's impact ... -
ProofFrog: A Tool For Verifying Game-Hopping Proofs
(University of Waterloo, 2024-04-15)Cryptographic proofs allow researchers to provide theoretical guarantees on the security that their constructions provide. A proof of security can completely eliminate a class of attacks by potential adversaries. Human ... -
Analytic Methods and Combinatorial Plants
(University of Waterloo, 2024-04-08)Combinatorial structures have broad applications in computer science, from error-correcting codes to matrix multiplication. Many analytic tools have been developed for studying these structures. In this thesis, we examine ... -
Emotions and Context in Decision-making for a Socially Intelligent Agent
(University of Waterloo, 2024-04-03)Artificial intelligence (AI) research has largely focused on rational thinking, decision making, goal achievement, and reward maximization. Emotions have been considered nonessential, or even detrimental, when designing ... -
Optimizing Differential Computation for Large-Scale Graph Processing
(University of Waterloo, 2024-04-01)Diverse applications spanning areas such as fraud detection, risk assessment, recommendations, and telecommunications process datasets characterized by entities and their relationships. Graphs naturally emerge as the most ... -
Mitigating the Uncertainty and Imprecision of Log-Based Code Coverage Without Requiring Additional Logging Statements
(University of Waterloo, 2024-04-01)Understanding code coverage is an important precursor to software maintenance activities (e.g., better testing). Although modern code coverage tools provide key insights, they typically rely on code instrumentation, resulting ... -
Cardinality Estimation in Streaming Graph Data Management Systems
(University of Waterloo, 2024-02-23)Graph processing has become an increasingly popular paradigm for data management systems. Concurrently, there is a pronounced demand for specialized systems dedicated to streaming processing that are essential to address ... -
MS/MS Spectrum Prediction for MHC-Associated Peptides with a Fine-Tuned Model
(University of Waterloo, 2024-02-23)To improve the quality of spectral library search, several MS/MS spectrum predictors have been developed in the last decades. After success in various fields, deep learning techniques are adopted by MS/MS spectrum predictors ... -
Analyzing Threats of Large-Scale Machine Learning Systems
(University of Waterloo, 2024-02-22)Large-scale machine learning systems such as ChatGPT rapidly transform how we interact with and trust digital media. However, the emergence of such a powerful technology faces a dual-use dilemma. While it can have many ... -
Safety-Critical Control for Dynamical Systems under Uncertainties
(University of Waterloo, 2024-02-15)Control barrier functions (CBFs) and higher-order control barrier functions (HOCBFs) have shown great success in addressing control problems with safety guarantees. These methods usually find the next safe control input ... -
Traffic Rule Checking and Validation
(University of Waterloo, 2024-02-15)This thesis presents a comprehensive exploration of traffic rule verification systems for diverse junction types, addressing key challenges in formalizing rules, determining violation thresholds, and covering a wide spectrum ... -
Graph-Theoretic Techniques for Optimizing NISQ Algorithms
(University of Waterloo, 2024-02-15)Entering the NISQ era, the search for useful yet simple quantum algorithms is perhaps of more importance now than it may ever be in the future. In place of quantum walks, the quantum Fourier transform, and asymptotic results ... -
A Fault Injection Tool for Testing Distributed System with Network Faults
(University of Waterloo, 2024-01-30)Modern systems are complex, they include hundreds of components that implement complex protocols such as scheduling, replication, membership, resource management, client access, and security. These systems are expected to ... -
Spatial and Temporal Discounting in a Social-Climate Model
(University of Waterloo, 2024-01-25)This thesis analyzes how individuals' devaluation of distant impacts of climate change affects mitigation behaviours and projected climate conditions. To approach this question, spatial and temporal discounting is applied ... -
Advancing Antibody Design: Integrating Protein Language Models for Enhanced Computational Strategies
(University of Waterloo, 2024-01-25)Antibodies, or immunoglobulins, are integral to the immune response, playing a crucial role in recognizing and neutralizing external threats such as pathogens. The design of these molecules, however, is complex due to the ... -
Website Fingerprinting on LEO Satellite Internet
(University of Waterloo, 2024-01-24)Although encrypted channels, like those provided by anonymity networks such as Tor, have been put into effect, network adversaries have proven their capability to undermine users' browsing privacy through website fingerprinting ... -
Disk-based Indexing for NIR-Trees using Polygon Overlays
(University of Waterloo, 2024-01-23)This thesis presents the NIR+-Tree, a disk-resident R-Tree variant that eliminates overlap among its minimum bounding rectangles (MBRs). The NIR+-Tree is an extension of the main-memory NIR-Tree, adopting techniques for ... -
Formalizing the Excluded Minor Characterization of Binary Matroids in the Lean Theorem Prover
(University of Waterloo, 2024-01-23)A matroid is a mathematical object that generalizes the notion of linear independence of a set of vectors to an abstract independence of sets, with applications to optimization, linear algebra, graph theory, and algebraic ...
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