Browsing Mathematics (Faculty of) by Title
Now showing items 258-277 of 2994
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Bayesian Inference Methods Applied to Cancer Research
(University of Waterloo, 2009-12-11)The purpose of this Thesis is to present a Bayesian analysis of oncological data sets with particular focus on cervical carcinomas and ovarian cancers. Bayesian methods of data analysis have a very long history, and ... -
Bayesian Sample Size Determination for Single-Particle Tracking of Pathogens in Biological Fluids
(University of Waterloo, 2018-01-17)Single-particle tracking (SPT) experiments measure 2-dimensional particle position with a high-resolution digital camera, capturing microsecond motion. SPT has allowed novel investigation of membrane dynamics, enzymology, ... -
Bayesian Unsupervised Labeling of Web Document Clusters
(University of Waterloo, 2011-08-30)Information technologies have recently led to a surge of electronic documents in the form of emails, webpages, blogs, news articles, etc. To help users decide which documents may be interesting to read, it is common practice ... -
Beam Me 'Round, Scotty! II: Reflections on Transforming Research Goals into Gameplay Mechanics
(ACM, 2018-10-23)We reflect on the design, implementation, and testing of the experimental testbed game Beam Me 'Round, Scotty! II and the numerous design lessons learned in transitioning theoretical research questions about social presence ... -
Behrooz File System (BFS)
(University of Waterloo, 2015-08-25)In this thesis, the Behrooz File System (BFS) is presented, which provides an in-memory distributed file system. BFS is a simple design which combines the best of in-memory and remote file systems. BFS stores data in the ... -
The Best of Both Worlds: Combining Information-Theoretic and Computational Private Information Retrieval for Communication Efficiency
(University of Waterloo, 2014-08-15)The goal of Private Information Retrieval (PIR) is the ability to query a database successfully without the operator of the database server discovering which record(s) of the database the querier is interested in. There ... -
Best response dynamics improve sustainability and equity outcomes in common-pool resources problems, compared to imitation dynamics
(Journal of Theoretical Biology, 2021-01-21)Shared resource extraction among profit-seeking individuals involves a tension between individual benefit and the collective well-being represented by the persistence of the resource. Many game theoretic models explore ... -
Bi-objective short-term scheduling in a rolling horizon framework: a priori approaches with alternative operational objectives
(Elsevier, 2019-11)This study addresses short-term scheduling problems with throughput and make-span as conflicting objectives, focusing on a priori multi-objective methods. Two contributions are presented. The first contribution is to propose ... -
Bias in the Estimate of a Mean Reversion Parameter for a Fractional Ornstein-Uhlenbeck Process
(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 ... -
A Bias-Variance-Privacy Trilemma for Statistical Estimation
(University of Waterloo, 2023-08-28)The canonical algorithm for differentially private mean estimation is to first clip the samples to a bounded range and then add noise to their empirical mean. Clipping controls the sensitivity and, hence, the variance of ... -
Bidirectional Learning in Recurrent Neural Networks Using Equilibrium Propagation
(University of Waterloo, 2018-09-26)Neurobiologically-plausible learning algorithms for recurrent neural networks that can perform supervised learning are a neglected area of study. Equilibrium propagation is a recent synthesis of several ideas in biological ... -
Bidirectional TopK Sparsification for Distributed Learning
(University of Waterloo, 2022-05-27)Training large neural networks requires a large amount of time. To speed up the process, distributed training is often used. One of the largest bottlenecks in distributed training is communicating gradients across different ... -
Bifurcation analysis and application for impulsive systems with delayed impulses
(World Scientific, 2017-11)In this article, we present a systematic approach to bifurcation analysis of impulsive systems with autonomous or periodic right-hand sides that may exhibit delayed impulse terms. Methods include Lyapunov–Schmidt reduction ... -
Bifurcation analysis of a system of Morris-Lecar neurons with time delayed gap junctional coupling
(University of Waterloo, 2008-08-27)We consider a system of two identical Morris-Lecar neurons coupled via electrical coupling. We focus our study on the effects that the coupling strength, γ , and the coupling time delay, τ , cause on the dynamics of the ... -
Bifurcation Analysis of Large Networks of Neurons
(University of Waterloo, 2015-12-23)The human brain contains on the order of a hundred billion neurons, each with several thousand synaptic connections. Computational neuroscience has successfully modeled both the individual neurons as various types of ... -
Bifurcation and Robust Control of Instabilities in the Presence of Uncertainties
(University of Waterloo, 2022-10-06)In real-world applications, nominal mathematical models that are used to describe the state behaviors of dynamical systems are usually less robust to deal with environmental disruptions. Uncertainties, such as imprecision ... -
Bifurcation of Bounded Solutions of Impulsive Differential Equations
(World Scientific Publishing, 2016-12-30)In this article, we examine nonautonomous bifurcation patterns in nonlinear systems of impulsive differential equations. The approach is based on Lyapunov–Schmidt reduction applied to the linearization of a particular ... -
Binary Adder Circuits of Asymptotically Minimum Depth, Linear Size, and Fan-Out Two
(Association for Computing Machinery, 2018-01)We consider the problem of constructing fast and small binary adder circuits. Among widely used adders, the Kogge-Stone adder is often considered the fastest, because it computes the carry bits for two n-bit numbers (where ... -
Biological Plausibility in Modern Hopfield Networks
(University of Waterloo, 2022-12-19)Modern Hopfield Networks (HNs) have the ability to store a large number of target memories (e.g. binary patterns) and then recall a memory in its entirety when prompted by a sub-set or perturbed version of it; in this ... -
Biologically Inspired Adaptive Control of Quadcopter Flight
(University of Waterloo, 2015-08-20)This thesis explores the application of a biologically inspired adaptive controller to quadcopter flight control. This begins with an introduction to modelling the dynamics of a quadcopter, followed by an overview of control ...