Welcome to the Faculty of Mathematics community.

This community, its sub-communities, and collections are organized using the University of Waterloo's Faculties and Academics structure. In this structure:

  • Communities are Faculties or Affiliated Institutions
  • Sub-communities are Departments or Research Centres
  • Collections are the arrangement of research types produced by a Department or Research Centre

New sub-communities and collections following this structure will be created UPON REQUEST .

Sub-communities within this community

Recent Submissions

  • Tracking Events in Social Media 

    Tan, Luchen (University of Waterloo, 2017-01-20)
    Tracking topical events in social media streams, such as Twitter, provides a means for users to keep up-to-date on topics of interest to them. This tracking may last a period of days, or even weeks. These events and topics ...
  • Efficient Composition of Discrete Time Quantum Walks 

    Lou, Xingliang (University of Waterloo, 2017-01-20)
    It is well known that certain search problems are efficiently solved by quantum walk algorithms. Of particular interest are those problems whose efficient solutions involve nesting of search algorithms. The nesting of ...
  • Bias in the Estimate of a Mean Reversion Parameter for a Fractional Ornstein-Uhlenbeck Process 

    Ng, Wai Man (University of Waterloo, 2017-01-19)
    In this thesis we studied the estimation bias of the least squares estimate of the mean reversion parameter, when the underlying dynamics is governed by fractional Brownian motions. Fractional Brownian motion is a ...
  • Empirical Likelihood and Bootstrap Inference with Constraints 

    Wang, Chunlin (University of Waterloo, 2017-01-18)
    Empirical likelihood and the bootstrap play influential roles in contemporary statistics. This thesis studies two distinct statistical inference problems, referred to as Part I and Part II, related to the empirical ...
  • Query Similarity for Community Question Answering System Based on Recurrent Encoder Decoder 

    Ye, Borui (University of Waterloo, 2017-01-18)
    The measurement of sentence similarity is a fundamental task in natural language processing. Traditionally, it is measured either from word-level or sentence-level (such as paraphrasing), which requires many lexical and ...
  • Direct Numerical Simulation of Salt Fingering Gravity Currents and Double-Diffusive Rayleigh-Taylor Instabilities 

    Penney, Jared (University of Waterloo, 2017-01-18)
    Double-diffusion refers to a class of instabilities that develops when the density of a fluid depends on two components with different diffusivities. For example, when warm, salty water is layered over cool, fresh water, ...
  • On Some Stochastic Optimal Control Problems in Actuarial Mathematics 

    Li, Dongchen (University of Waterloo, 2017-01-17)
    The event of ruin (bankruptcy) has long been a core concept of risk management interest in the literature of actuarial science. There are two major research lines. The first one focuses on distributional studies of some ...
  • Sparse Models in High-Dimensional Dependence Modelling and Index Tracking 

    Han, Dezhao (University of Waterloo, 2017-01-17)
    This thesis is divided into two parts. The first part proposes parsimonious models to the vine copula. The second part is devoted to the index tracking problem. Vine copulas provide a flexible tool to capture asymmetry ...
  • Modeling and Reasoning with Multisets and Multirelations in Alloy 

    Sun, Peiyuan (University of Waterloo, 2017-01-17)
    Multisets and multirelations arise naturally in modeling; however, most modeling languages either have limited or completely lack support for multisets and multirelations. Alloy, for instance, is a lightweight relational ...
  • Structured Reverse Mode Automatic Differentiation in Nested Monte Carlo Simulations 

    Zhou, An (University of Waterloo, 2017-01-17)
    In many practical large scale computational problems, the calculation of partial derivatives of the object function f with respect to input parameters are entailed and the dimension of inputs n is much larger the one of ...
  • Estimating Risk-adjusted Process Performance with a Bias/Variance Trade-off 

    Cooper Barfoot, Patricia L (University of Waterloo, 2017-01-12)
    Decision makers responsible for managing the performance of a process commonly base their decisions on an estimate of present performance, a comparison of estimates across multiple streams, and the trend in performance ...
  • Static Transformation of Power Consumption for Program Tracing and Software Attestation 

    Kauffman, Sean (University of Waterloo, 2017-01-12)
    This thesis presents methods to statically modify programs at compile-time to improve the effectiveness of power consumption based program analyses. Two related applications are considered, and algorithms are introduced ...
  • Appearance Changes due to Light Exposure 

    Kimmel, Bradley William (University of Waterloo, 2017-01-12)
    The fading of materials due to light exposure over time is a major contributor to the overall aged appearance of man-made objects. Although much attention has been devoted to the modeling of aging and weathering phenomena ...
  • Fractional Imputation for Ordinal and Mixed-type Responses with Missing Observations 

    She, Xichen (University of Waterloo, 2017-01-12)
    This thesis addresses two essential aspects of large scale public-use data files involving ordinal and mixed-type responses with missing observations: (i) the creation of single complete data sets with imputation for missing ...
  • Probing Quantum Fields: Measurements and Quantum Energy Teleportation 

    Verdon-Akzam, Guillaume (University of Waterloo, 2017-01-10)
    Quantum Energy Teleportation provides a testbed for modern ideas involving the inter­play between quantum correlations and energy in the quantum thermodynamical regime. In this work, we provide a new class of Quantum Energy ...
  • Tagger: Enhance Database Search Tools with De Novo Sequencing Tags 

    Tang, Qi (University of Waterloo, 2017-01-06)
    Tandem mass spectrometry (MS/MS) is widely used in proteomics nowadays to identify peptides and proteins from a sequence database. In a classic procedure of MS/MS protein identification, proteins are digested into short ...
  • On The Density of Binary Matroids Without a Given Minor 

    Walsh, Zachary (University of Waterloo, 2016-12-21)
    This thesis is motivated by the following question: how many elements can a simple binary matroid with no $\PG(t,2)$-minor have? This is a natural analogue of questions asked about the density of graphs in minor-closed ...
  • The Prevalence and Impact of Persistent Ambiguity in Software Requirements Specification Documents 

    Ribeiro, Cristina (University of Waterloo, 2016-12-21)
    Despite a large amount of research in methods and tools for avoiding and detecting requirements ambiguity, recent studies have indicated that requirements ambiguity seems to be resolved through multiple inspections and ...
  • Conditional Scenario Generation with a GVAR Model 

    Wang, Xinghao (University of Waterloo, 2016-12-15)
    The stress-testing method formed an integral part of the practice of risk management. However, the underlying models for scenarios generation have not been much studied so far. In past practice, the users typically did ...
  • Structure in Stable Matching Problems 

    Toth, William Justin (University of Waterloo, 2016-12-14)
    In this thesis we provide two contributions to the study of structure in stable matching problems. The first contribution is a short new proof for the integrality of Rothblum’s linear description of the convex hull of ...

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