Browsing Mathematics (Faculty of) by Title
Now showing items 1709-1728 of 2998
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Multi-Resolution Approximate Inverses
(University of Waterloo, 1999)This thesis presents a new preconditioner for elliptic PDE problems on unstructured meshes. Using ideas from second generation wavelets, a multi-resolution basis is constructed to effectively compress the inverse of the ... -
Multi-scale entropy analysis and Hurst exponent
(Elsevier, 2019-08-15)Several methods exist for measuring the complexity in a system through analysis of its associated time series. Multi-scale entropy appears as a successful method on this matter. It has been applied in many disciplines with ... -
A multi-scale model for coupling strands with shear-dependent liquid
(ACM, 2019-11)We propose a framework for simulating the complex dynamics of strands interacting with compressible, shear-dependent liquids, such as oil paint, mud, cream, melted chocolate, and pasta sauce. Our framework contains three ... -
A multi-scale model for simulating liquid-fabric interactions
(ACM, 2018-07)We propose a method for simulating the complex dynamics of partially and fully saturated woven and knit fabrics interacting with liquid, including the effects of buoyancy, nonlinear drag, pore (capillary) pressure, dripping, ... -
A Multi-scale Model for Simulating Liquid-hair Interactions
(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 ... -
Multi-scale Models of Tumor Growth and Invasion
(University of Waterloo, 2012-10-04)Cancer is a complex, multi-scale disease marked by unchecked cellular growth and proliferation. As a tumor grows, it is known to lose its capacity to maintain a compact structure. This stage of development, known as invasion, ... -
Multi-User File System Search
(University of Waterloo, 2007-08-03)Information retrieval research usually deals with globally visible, static document collections. Practical applications, in contrast, like file system search and enterprise search, have to cope with highly dynamic text ... -
Multigraphs with High Chromatic Index
(University of Waterloo, 2009-07-22)In this thesis we take a specialized approach to edge-colouring by focusing exclusively on multigraphs with high chromatic index. The bulk of our results can be classified into three categories. First, we prove results ... -
Multigrid Methods for Hamilton-Jacobi-Bellman and Hamilton-Jacobi-Bellman-Isaacs Equations
(University of Waterloo, 2011-06-28)We propose multigrid methods for solving Hamilton-Jacobi-Bellman (HJB) and Hamilton-Jacobi-Bellman-Isaacs (HJBI) equations. The methods are based on the full approximation scheme. We propose a damped-relaxation method as ... -
A Multilevel Method for Image Segmentation
(University of Waterloo, 2010-01-18)Image segmentation is a branch of computer vision that has received a considerable amount of interest in recent years. Segmentation describes a process that divides or partitions the pixels of a digital image into groups ... -
Multilingual Grammatical Error Detection And Its Applications to Prompt-Based Correction
(University of Waterloo, 2024-01-05)Grammatical Error Correction (GEC) and Grammatical Error Correction (GED) are two important tasks in the study of writing assistant technologies. Given an input sentence, the former aims to output a corrected version of ... -
Multimaterial Mesh-Based Surface Tracking
(Association for Computing Machinery, 2014-07-01)We present a triangle mesh-based technique for tracking the evolution of three-dimensional multimaterial interfaces undergoing complex deformations. It is the first non-manifold triangle mesh tracking method to simultaneously ... -
Multimodal spoofing and adversarial examples countermeasure for speaker verification
(University of Waterloo, 2022-07-26)Authentication mechanisms have always been prevalent in our society — even as far back as Ancient Mesopotamia in the form of seals. Since the advent of the digital age, the need for a good digital authentication technique ... -
Multiple Continuous Subgraph Query Optimization Using Delta Subgraph Queries
(University of Waterloo, 2018-10-23)This thesis studies the problem of optimizing and evaluating multiple directed structural subgraph queries, i.e., those without highly selective predicates on the edges or vertices, continuously in a changing graph. Existing ... -
Multiple imputation for the analysis of incomplete compound variables
(Wiley, 2015-06)In many settings interest lies in modelling a compound variable defined as a function of two or more component variables. When one or more of the components are missing, the compound variable is not observed and a strategy ... -
Multiple Object Tracking with Occlusion Handling
(University of Waterloo, 2010-02-17)Object tracking is an important problem with wide ranging applications. The purpose is to detect object contours and track their motion in a video. Issues of concern are to be able to map objects correctly between two ... -
Multiple testing using the posterior probability of half-space: application to gene expression data.
(University of Waterloo, 2005)We consider the problem of testing the equality of two sample means, when the number of tests performed is large. Applying this problem to the context of gene expression data, our goal is to detect a set of genes ... -
Multiplicities of Linear Recurrence Sequences
(University of Waterloo, 2006)In this report we give an overview of some of the major results concerning the multiplicities of linear recurrence sequences. We first investigate binary recurrence sequences where we exhibit a result due to Beukers and ... -
Multiply Robust Empirical Likelihood Inference for Missing Data and Causal Inference Problems
(University of Waterloo, 2019-06-06)Missing data are ubiquitous in many social and medical studies. A naive complete-case (CC) analysis by simply ignoring the missing data commonly leads to invalid inferential results. This thesis aims to develop statistical ... -
Multiscale GARCH Modeling and Inference
(University of Waterloo, 2018-10-11)The motivation behind this thesis is the shortage of formal statistical inference methods in the literature for testing whether a time series model is consistent with a sample at multiple sampling frequencies simultaneously. ...