Browsing Mathematics (Faculty of) by Title
Now showing items 1727-1746 of 3013
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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. ... -
Multiscale Methods in Image Modelling and Image Processing
(University of Waterloo, 2005)The field of modelling and processing of 'images' has fairly recently become important, even crucial, to areas of science, medicine, and engineering. The inevitable explosion of imaging modalities and approaches ... -
Multiscale models of kidney function and diseases
(Elsevier, 2019-09)The kidney is a complex system whose function is the result of synergistic operations among a number of biological processes. The spatial and functional scales of those processes span a wide range. To interrogate kidney ... -
Multistate analysis from cross-sectional and auxiliary samples
(Wiley, 2020-02-20)Epidemiological studies routinely involve cross‐sectional sampling of a population comprised of individuals progressing through life history processes. We consider features of a cross‐sectional sample in terms of the ... -
A Multistate Model for Bivariate Interval-Censored Failure Time Data
(Wiley, 2008-12)Interval-censored life-history data arise when the events of interest are only detectable at periodic assessments. When interest lies in the occurrence of two such events, bivariate-interval censored event time data are ... -
Multistate Models for Biomarker Processes
(University of Waterloo, 2014-08-25)Multistate models are widely used for describing life history processes. In studies where individuals are observed continuously, the transition times between states are known exactly. However, when individuals are observed ... -
Multivariate First-Passage Models in Credit Risk
(University of Waterloo, 2008-10-17)This thesis deals with credit risk modeling and related mathematical issues. In particular we study first-passage models for credit risk, where obligors default upon first passage of a ``credit quality" process to ... -
Multivariate Longitudinal Data Analysis with Mixed Effects Hidden Markov Models
(University of Waterloo, 2013-01-24)Longitudinal studies, where data on study subjects are collected over time, is increasingly involving multivariate longitudinal responses. Frequently, the heterogeneity observed in a multivariate longitudinal response can ... -
Multivariate Multiscale Analysis of Neural Spike Trains
(University of Waterloo, 2013-12-17)This dissertation introduces new methodologies for the analysis of neural spike trains. Biological properties of the nervous system, and how they are reflected in neural data, can motivate specific analytic tools. Some of ...