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:

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Recent deposits

  • Well-Posedness of Boundary Control Systems 

    Cheng, Ada; Morris, Kirsten (Society for Industrial and Applied Mathematics, 2003-01-01)
    Continuity of the input/output map for boundary control systems is shown through the system transfer function. Our approach transforms the question of continuity of the input/output map of a boundary control system to ...
  • StyleCounsel: Seeing the (Random) Forest for the Trees in Adversarial Code Stylometry 

    McKnight, Christopher (University of Waterloo, 2018-01-12)
    Authorship attribution has piqued the interest of scholars for centuries, but had historically remained a matter of subjective opinion, based upon examination of handwriting and the physical document. Midway through the ...
  • Viscous Liquid Animation with Spatially Adaptive Grids 

    Yipeng, Wang (University of Waterloo, 2018-01-08)
    Viscous fluid behaviors are among the most complex yet familiar physical phenomena we encounter in everyday life. Much attention and investigation has been paid to the creation of visually realistic results, especially ...
  • Using Least Squares to Construct Improved Clough-Tocher Interpolant 

    Fang, Xiang (University of Waterloo, 2018-01-08)
    In this thesis, a quartic Clough-Tocher interpolation scheme is introduced, and additional modifications, to adjust the macro-boundary and the order of continuity across domain triangles, are provided to improve both the ...
  • Stability and Control of Caputo Fractional Order Systems 

    Wu, Cong (University of Waterloo, 2018-01-08)
    As pointed out by many researchers in the last few decades, differential equations with fractional (non-integer) order differential operators, in comparison with classical integer order ones, have apparent advantages in ...
  • Applications of claim investigation in insurance surplus and claims models 

    Huynh, Mirabelle (University of Waterloo, 2018-01-03)
    Claim investigation is a fundamental part of an insurer's business. Queues form as claims accumulate and claims are investigated according to some queueing mechanism. The natural existence of queues in this context prompts ...
  • 5-Choosability of Planar-plus-two-edge Graphs 

    Mahmoud, Amena (University of Waterloo, 2018-01-02)
    We prove that graphs that can be made planar by deleting two edges are 5-choosable. To arrive at this, first we prove an extension of a theorem of Thomassen. Second, we prove an extension of a theorem Postle and Thomas. ...
  • The use of machine learning algorithms in recommender systems: A systematic review 

    Portugal, Ivens; Alencar, Alencar; Cowan, Donald (Elsevier, 2018-05-01)
    Recommender systems use algorithms to provide users with product or service recommendations. Recently, these systems have been using machine learning algorithms from the field of artificial intelligence. However, choosing ...
  • Importance Sampling and Stratification Techniques for Multivariate Models with Low-Dimentional Structures 

    Taniguchi, Yoshihiro (University of Waterloo, 2017-12-22)
    Many problems in finance and risk management involve the computation of quantities related to rare-event analysis. As many financial problems are high-dimensional, the quan- tities of interest rarely have analytical forms ...
  • Extending Pappus' Theorem 

    Hoersch, Florian (University of Waterloo, 2017-12-22)
    Let $M_1$ and $M_2$ be matroids such that $M_2$ arises from $M_1$ by relaxing a circuit-hyperplane. We will prove that if $M_1$ and $M_2$ are both representable over some finite field $GF(q)$, then $M_1$ and $M_2$ have ...
  • High-dimensional discriminant analysis and covariance matrix estimation 

    Wu, Yilei (University of Waterloo, 2017-12-21)
    Statistical analysis in high-dimensional settings, where the data dimension p is close to or larger than the sample size n, has been an intriguing area of research. Applications include gene expression data analysis, ...
  • Gini-type measures of risk and variability: Gini shortfall, capital allocations, and heavy-tailed risks 

    Furman, Edward; Wang, Ruodo; Zitikis, Ricardas (Elsevier, 2017-10-01)
    We introduce and explore Gini-type measures of risk and variability, and develop the corresponding economic capital allocation rules. The new measures are coherent, additive for co-monotonic risks, convenient computationally, ...
  • Affective Sentiment and Emotional Analysis of Pull Request Comments on GitHub 

    Rishi, Deepak (University of Waterloo, 2017-12-15)
    Sentiment and emotional analysis on online collaborative software development forums can be very useful to gain important insights into the behaviors and personalities of the developers. Such information can later on be ...
  • Efficient Structure-aware OLAP Query Processing over Large Property Graphs 

    Zhang, Yan (University of Waterloo, 2017-12-14)
    Property graph model is a semantically rich model for real-world applications that represent their data as graphs, e.g., communication networks, social networks, financial transaction networks. On-Line Analytical Processing ...
  • Securing Cloud Computations with Oblivious Primitives from Intel SGX 

    Sasy, Sajin (University of Waterloo, 2017-12-12)
    We are witnessing a confluence between applied cryptography and secure hardware systems in enabling secure cloud computing. On one hand, work in applied cryptography has enabled efficient, oblivious data-structures and ...
  • A Positive-definite Cut-cell Method for Strong Two-way Coupling Between Fluids and Deformable Bodies 

    Zarifi, Omar; Batty, Christopher (Association for Computing Machinery, 2017-07-28)
    We present a new approach to simulation of two-way coupling between inviscid free surface fluids and deformable bodies that exhibits several notable advantages over previous techniques. By fully incorporating the dynamics ...
  • A Multi-scale Model for Simulating Liquid-hair Interactions 

    Fei, Yun (Raymond); Maia, Henrique Teles; Batty, Christopher; Zheng, Changxi; Grinspun, Eitan (Association for Computing Machinery, 2017-07-20)
    The diverse interactions between hair and liquid are complex and span multiple length scales, yet are central to the appearance of humans and animals in many situations. We therefore propose a novel multi-component simulation ...
  • Variational Stokes: A Unified Pressure-viscosity Solver for Accurate Viscous Liquids 

    Larionov, Egor; Batty, Christopher; Bridson, Robert (Association for Computing Machinery, 2017-07-20)
    We propose a novel unsteady Stokes solver for coupled viscous and pressure forces in grid-based liquid animation which yields greater accuracy and visual realism than previously achieved. Modern fluid simulators treat ...
  • Power Diagrams and Sparse Paged Grids for High Resolution Adaptive Liquids 

    Aanjaneya, Mridul; Gao, Ming; Liu, Haixiang; Batty, Christopher; Sifakis, Eftychios (Association for Computing Machinery, 2017-07-20)
    We present an efficient and scalable octree-inspired fluid simulation framework with the flexibility to leverage adaptivity in any part of the computational domain, even when resolution transitions reach the free surface. ...
  • The Limited Effectiveness of Neural Networks for Simple Question Answering on Knowledge Graphs 

    Mohammed, Salman (University of Waterloo, 2017-12-08)
    Simple factoid question answering (QA) is a task, where the questions can be answered by looking up a single fact in the knowledge base (KB). However, this QA task is difficult, since retrieving a single supporting fact ...

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