Browsing Mathematics (Faculty of) by Title
Now showing items 1802-1821 of 2993
-
Notions of Complexity Within Computable Structure Theory
(University of Waterloo, 2023-08-28)This thesis covers multiple areas within computable structure theory, analyzing the complexities of certain aspects of computable structures with respect to different notions of definability. In chapter 2 we use a new ... -
Notions of Dependence with Applications in Insurance and Finance
(University of Waterloo, 2013-08-02)Many insurance and finance activities involve multiple risks. Dependence structures between different risks play an important role in both theoretical models and practical applications. However, stochastic and actuarial ... -
A Novel Class of Intensity-based Metrics for Image Functions which Accommodate a Generalized Weber's Model of Perception
(University of Waterloo, 2020-04-29)Even though the usual L2 image fidelity measurements, such as MSE and PSNR, characterize the mean error for each pixel of the images, these traditional measurements are not designed to predict human visual perception of ... -
A Novel Diffusion-based Empirical Mode Decomposition Algorithm for Signal and Image Analysis
(University of Waterloo, 2018-08-09)In the area of signal analysis and processing, the Fourier transform and wavelet transform are widely applied. Empirical Mode Decomposition(EMD) was proposed as an alternative frequency analysis tool. Although shown to ... -
Novel Directions for Multiagent Trust Modeling in Online Social Networks
(University of Waterloo, 2020-05-13)This thesis presents two works with the shared goal of improving the capacity of multiagent trust modeling to be applied to social networks. The first demonstrates how analyzing the responses to content on a discussion ... -
A Novel Mathematical Framework for the Analysis of Neural Networks
(University of Waterloo, 2017-08-22)Over the past decade, Deep Neural Networks (DNNs) have become very popular models for processing large amounts of data because of their successful application in a wide variety of fields. These models are layered, often ... -
Novel Methods for Natural Language Modeling and Pretraining
(University of Waterloo, 2023-02-21)This thesis is about modeling language sequences to achieve lower perplexity, better generation, and benefit downstream language tasks; specifically, this thesis addresses the importance of natural language features including ... -
Novel Paradigms in Physics-Based Animation: Pointwise Divergence-Free Fluid Advection and Mixed-Dimensional Elastic Object Simulation
(University of Waterloo, 2021-10-01)This thesis explores important but so far less studied aspects of physics-based animation: a simulation method for mixed-dimensional and/or non-manifold elastic objects, and a pointwise divergence-free velocity interpolation ... -
Novel Secret Sharing and Commitment Schemes for Cryptographic Applications
(University of Waterloo, 2012-08-15)In the second chapter, the notion of a social secret sharing (SSS) scheme is introduced in which shares are allocated based on a player's reputation and the way she interacts with other parties. In other words, this scheme ... -
Novel Value Ordering Heuristics Using Non-Linear Optimization In Boolean Satisfiability
(University of Waterloo, 2012-08-30)Boolean Satisfiability (SAT) is a fundamental NP-complete problem of determining whether there exists an assignment of variables which makes a Boolean formula evaluate to True. SAT is a convenient representation for many ... -
Novelty and Diversity in Retrieval Evaluation
(University of Waterloo, 2013-01-11)Queries submitted to search engines rarely provide a complete and precise description of a user's information need. Most queries are ambiguous to some extent, having multiple interpretations. For example, the seemingly ... -
Novelty Detection by Latent Semantic Indexing
(University of Waterloo, 2013-05-23)As a new topic in text mining, novelty detection is a natural extension of information retrieval systems, or search engines. Aiming at refining raw search results by filtering out old news and saving only the novel messages, ... -
Novice-Centric Visualizations for Machine Learning
(University of Waterloo, 2016-04-26)This thesis focuses on visualizations for machine learning tasks. More specifically, we create a taxonomy for existing machine learning visualizations, and design a system to help machine learning novices perform labelling ... -
An Npz Model With State-Dependent Delay Due To Size-Structure In Juvenile Zooplankton
(Society for Industrial and Applied Mathematics, 2016)The study of planktonic ecosystems is important as they make up the bottom trophic levels of aquatic food webs. We study a closed nutrient-phytoplankton-zooplankton (NPZ) model that includes size structure in the juvenile ... -
The Number Field Sieve for Barreto-Naehrig Curves: Smoothness of Norms
(University of Waterloo, 2015-05-20)The security of pairing-based cryptography can be reduced to the difficulty of the discrete logarithm problem (DLP) in finite fields of medium characteristic. The number field sieve is the best known algorithm for this ... -
The number of valid factorizations of Fibonacci prefixes
(Elsevier, 2019-07-05)We establish several recurrence relations and an explicit formula for V(n), the number of factorizations of the length-n prefix of the Fibonacci word into a (not necessarily strictly) decreasing sequence of standard Fibonacci ... -
The number of valid factorizations of Fibonacci prefixes
(Elsevier, 2019-07-05)We establish several recurrence relations and an explicit formula for , the number of factorizations of the length-n prefix of the Fibonacci word into a (not necessarily strictly) decreasing sequence of standard Fibonacci ... -
Numerical analysis of divergence-free discontinuous Galerkin methods for incompressible flow problems
(University of Waterloo, 2022-04-29)In the first major contribution of this thesis, we present analysis of two lowest-order hybridizable discontinuous Galerkin methods for the Stokes problem, while making only minimal regularity assumptions on the exact ... -
Numerical analysis of space-time hybridized discontinuous Galerkin methods for incompressible flows
(University of Waterloo, 2022-08-09)Many industrial problems require the solution of the incompressible Navier-Stokes equations on moving and deforming domains. Notable examples include the simulation of rotating wind turbines in strong air flow, wave impact ... -
Numerical Methods for Continuous Time Mean Variance Type Asset Allocation
(University of Waterloo, 2010-04-19)Many optimal stochastic control problems in finance can be formulated in the form of Hamilton-Jacobi-Bellman (HJB) partial differential equations (PDEs). In this thesis, a general framework for solutions of HJB PDEs in ...