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 .
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Information Retrieval Evaluation Measures Based on Preference Graphs
(University of Waterloo, 2021-07-30)Offline evaluation for web search has used mostly graded judgments to evaluate the performance of information retrieval systems. While graded judgments suffer several known problems, preference judgments simply judge one ... -
Failure Time Analysis with Discrete Marker Processes under Intermittent Observation
(University of Waterloo, 2021-07-28)Regression analysis for failure time data is often directed at studying the relationship between a time-dependent biomarker and failure. The Cox regression model and the associated partial likelihood on which inference ... -
Topics in Study Design and Analysis Involving Incomplete Data
(University of Waterloo, 2021-07-27)Incomplete data is a common occurrence in statistics with various types and mechanisms such that each can have a significant effect on statistical analysis and inference. This thesis tackles several statistical issues in ... -
Understanding Minimax Optimization in Modern Machine Learning
(University of Waterloo, 2021-07-21)Recent years has seen a surge of interest in building learning machines through adversarial training. One type of adversarial training is through a discriminator or an auxiliary classifier, such as Generative Adversarial ... -
Induced Binary Submatroids
(University of Waterloo, 2021-07-21)The notion of induced subgraphs is extensively studied in graph theory. An example is the famous Gy\'{a}rf\'{a}s-Sumner conjecture, which asserts that given a tree $T$ and a clique $K$, there exists a constant $c$ such ... -
Identifying regions of trusted prediction
(University of Waterloo, 2021-07-20)Quantifying the probability of a label prediction being correct on a given test point or a given sub-population enables users to better decide how to use and when to trust machine learning derived predictors. In this work, ... -
Merlynne: Motivating Peer-to-Peer Cognitive Behavioral Therapy with a Serious Game
(ACM, 2021-09)Human-Computer Interaction researchers have explored how online communities can be leveraged for peer support, but general disinterest and a lack of engagement have emerged as substantial barriers to their use in practice. ... -
Nature vs. Stress: Investigating the Use of Biophilia in Non-Violent Exploration Games to Reduce Stress
(ACM, 2021)Games hold the potential to help many address health-related issues such as chronic stress. We investigated the use of biophilia, an affective response to nature grounded in the psychology literature, as indirect physiological ... -
Method of Moments in Approximate Bayesian Inference: From Theory to Practice
(University of Waterloo, 2021-07-12)With recent advances in approximate inference, Bayesian methods have proven successful in larger datasets and more complex models. The central problem in Bayesian inference is how to approximate intractable posteriors ... -
Fractional refinements of integral theorems
(University of Waterloo, 2021-07-09)The focus of this thesis is to take theorems which deal with ``integral" objects in graph theory and consider fractional refinements of them to gain additional structure. A classic theorem of Hakimi says that for an ... -
Harnessing the Power of Generative Models for Mobile Continuous and Implicit Authentication
(University of Waterloo, 2021-06-30)Authenticating a user's identity lies at the heart of securing any information system. A trade off exists currently between user experience and the level of security the system abides by. Using Continuous and Implicit ... -
Signorini conditions for inviscid fluids
(University of Waterloo, 2021-06-28)In this thesis, we present a new type of boundary condition for the simulation of inviscid fluids – the Signorini boundary condition. The new condition models the non-sticky contact of a fluid with other fluids or solids. ... -
Selected Topics in Variable Annuities
(University of Waterloo, 2021-06-22)Variable annuities are long-term insurance products. They have become one of the most popular savings/investment vehicles over the past two decades due to their flexible investment options, stable long-term guarantees, and ... -
Learning From Almost No Data
(University of Waterloo, 2021-06-15)The tremendous recent growth in the fields of artificial intelligence and machine learning has largely been tied to the availability of big data and massive amounts of compute. The increasingly popular approach of training ... -
Comparing Distributions with the Probability of Agreement
(University of Waterloo, 2021-06-03)In this thesis we adapt the probability of agreement (PoA) methodology for the comparison of distributions. Most of the commonly used methods for comparing distributions are rooted in hypothesis testing where decisions are ... -
A Floating Ball and Two Asymptotic Problems in Capillarity
(University of Waterloo, 2021-06-02)The study of capillary phenomena can be traced back to the age of Aristotle. In this thesis, a floating ball and two asymptotic problems in capillarity are considered, all of which include surface tension and gravity. The ... -
Efficient Nested Simulation of Tail Risk Measures for Variable Annuities
(University of Waterloo, 2021-06-02)Estimating tail risk measures for portfolios of complex Variable Annuities (VA) is an important enterprise risk management task which usually requires nested simulation. In the nested simulation, the outer simulation stage ... -
Continuous Spatial and Temporal Representations in Machine Vision
(University of Waterloo, 2021-06-02)This thesis explores continuous spatial and temporal representations in machine vision. For spatial representations, we explore the Spatial Semantic Pointer as a biologically plausible representation of continuous space ... -
Fast and Scalable Solvers for the Fluid Pressure Equations with Separating Solid Boundary Conditions
(University of Waterloo, 2021-06-01)We propose and evaluate fast, scalable approaches for solving the linear complementarity problems (LCP) arising from the fluid pressure equations with separating solid boundary conditions. Specifically, we present a policy ... -
Mobile Phone Depth Sensors for Forest Carbon Measurement
(University of Waterloo, 2021-05-28)The monitoring, reporting, and verification (MRV) of forest plots, especially their tree-trunk diameters, is critical to achieving both forest protection and reforestation goals. Today’s MRV processes are mostly manual, ...
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