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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A Generalized Blending Scheme for Arbitrary Order of Continuity
(University of Waterloo, 2023-03-20)In this thesis, new templates and formulas of blending functions, schemes, and algorithms are derived for solving the scattered data interpolation problem. The resulting data fitting scheme interpolates the positions and ... -
Systems and Algorithms for Dynamic Graph Processing
(University of Waterloo, 2023-03-10)Data generated from human and systems interactions could be naturally represented as graph data. Several emerging applications rely on graph data, such as the semantic web, social networks, bioinformatics, finance, and ... -
Implicit Loss of Surjectivity and Facial Reduction: Theory and Applications
(University of Waterloo, 2023-03-09)Facial reduction, pioneered by Borwein and Wolkowicz, is a preprocessing method that is commonly used to obtain strict feasibility in the reformulated, reduced constraint system. The importance of strict feasibility is ... -
Individual insurance choice: A stochastic control approach
(University of Waterloo, 2023-02-28)This thesis applies the stochastic control approach to study the optimal insurance strategy for three problems. The first problem studies the optimal non-life insurance for an individual exhibiting internal habit formation ... -
Algorithms for Geometric Facility Location: Centers in a Polygon and Dispersion on a Line
(University of Waterloo, 2023-02-24)We study three geometric facility location problems in this thesis. First, we consider the dispersion problem in one dimension. We are given an ordered list of (possibly overlapping) intervals on a line. We wish to choose ... -
Novel Methods for Natural Language Modeling and Pretraining
(University of Waterloo, 2023-02-21)This thesis is about modeling language sequences to achieve lower perplexity, better generation, and benefit downstream language tasks; specifically, this thesis addresses the importance of natural language features including ... -
Squash: low latency multi-path video streaming using multi-bitrate encoding
(University of Waterloo, 2023-02-10)The demand for low latency video streaming has dramatically increased as live video streaming applications, such as Twitch and Youtube Live, are becoming more popular. According to the 2021 Bitmovin video developer report, ... -
A Preference Judgment Interface for Authoritative Assessment
(University of Waterloo, 2023-02-06)For offline evaluation of information retrieval systems, preference judgments have been demonstrated to be a superior alternative to graded or binary relevance judgments. In contrast to graded judgments, where each ... -
Designing Intelligent Systems to Support Workspace Collaboration
(University of Waterloo, 2023-02-06)Complex problems and interprofessional work require more resources to be involved, which has been possible through collaboration. Collaborative work is evolving from physical collaboration to more virtual forms through ... -
Efficient and Differentially Private Statistical Estimation via a Sum-of-Squares Exponential Mechanism
(University of Waterloo, 2023-01-30)As machine learning is applied to more privacy-sensitive data, it is becoming increasingly crucial to develop algorithms that maintain privacy. However, even the most basic high-dimensional statistical estimation tasks ... -
A Stabilizer Formalism for Infinitely Many Qubits
(University of Waterloo, 2023-01-27)The study of infinite dimensional quantum systems has been an active area of discussion in quantum information theory, particularly in settings where certain properties are shown to be not attainable by any finite dimensional ... -
Data-Driven Methods for System Identification and Lyapunov Stability
(University of Waterloo, 2023-01-27)This thesis focuses on data-driven methods applied to system identification and stability analysis of dynamical systems. In the first major contribution of the theorem we propose a learning framework to simultaneously ... -
A Study of the Capabilities of Message-Oriented Middleware Systems
(University of Waterloo, 2023-01-27)We present a comprehensive characterization study of open-source Message-Oriented Middleware (MOM) systems. We devised a rigorous methodology to select and study 10 popular and diverse MOM systems. For each system, we ... -
MECBench: A Framework for Benchmarking Multi-Edge Computing Systems
(University of Waterloo, 2023-01-27)I present MECBench, an extensible benchmarking framework for multi-access edge computing. MECBench is configurable and can emulate networks with different capabilities and conditions, can scale the generated workloads to ... -
Facilitating Information Access for Heterogeneous Data Across Many Languages
(University of Waterloo, 2023-01-25)Information access, which enables people to identify, retrieve, and use information freely and effectively, has attracted interest from academia and industry. Systems for document retrieval and question answering have ... -
Efficient Inference of Transformers in Natural Language Processing: Early Exiting and Beyond
(University of Waterloo, 2023-01-24)Large-scale pre-trained transformer models such as BERT have become ubiquitous in Natural Language Processing (NLP) research and applications. They bring significant improvements to both academia benchmarking tasks and ... -
Causal Inference and Matrix Completion with Correlated Incomplete Data
(University of Waterloo, 2023-01-19)Missing data problems are frequently encountered in biomedical research, social sciences, and environmental studies. When data are missing completely at random, a complete-case analysis may be the easiest approach. However, ... -
A mathematical foundation for the use of cliques in the exploration of data with navigation graphs
(University of Waterloo, 2023-01-19)Navigation graphs were introduced by Hurley and Oldford (2011) as a graph-theoretic framework for exploring data sets, particularly those with many variables. They allow the user to visualize one small subset of the variables ... -
5G RAN/MEC Slicing and Admission Control using Deep Reinforcement Learning
(University of Waterloo, 2023-01-19)The 5G RAN functions can be virtualized and distributed across the radio unit (RU), distributed unit (DU), and centralized unit (CU) to facilitate flexible resource management. Complemented by multi-access edge computing ... -
Road Surface Estimation Using Machine Learning
(University of Waterloo, 2023-01-19)Vehicle motion control systems are present on commercial vehicles to improve safety and driving comfort. Many of these control systems could be further improved given accurate online information about the road condition ...
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