Browsing Mathematics (Faculty of) by Title
Now showing items 2538-2557 of 2994
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Some results on binary forms and counting rational points on algebraic varieties
(University of Waterloo, 2016-08-17)In this thesis we study several problems related to the representation of integers by binary forms and counting rational points on algebraic varieties. In particular, we establish an asymptotic formula for $R_F(Z)$, the ... -
Some Results on Multivariate Dependence Modeling
(University of Waterloo, 2015-01-14)The goal of this thesis is to solve some problems in dependence modeling. Under special assumptions, we use Tankov [2011]’s result to give sharp bounds on variance of the sum of two random variables with partial information ... -
Some Stochastic Optimization Problems in Reinsurance and Insurance
(University of Waterloo, 2021-01-12)Insurance, which hedges against the risk of a contingent loss, is an indispensable risk management tool for both institutions and individuals. Reinsurance, namely, a form of insurance accessible to insurers, helps limit ... -
Some Theory and Applications of Probability in Quantum Mechanics
(University of Waterloo, 2012-07-19)This thesis investigates three distinct facets of the theory of quantum information. The first two, quantum state estimation and quantum process estimation, are closely related and deal with the question of how to estimate ... -
Some Upper and Lower Bounds regarding Query Complexity
(University of Waterloo, 2017-08-29)Query complexity is one of the several notions of complexity de ned to measure the cost of algorithms. It plays an important role in demonstrating the quantum advantage, that quantum computing is faster than classical ... -
Soteria: An Approach for Detecting Multi-Institution Attacks
(University of Waterloo, 2023-01-02)We present Soteria, a data processing pipeline for detecting multi-institution attacks. Multi-institution attacks contact large number of potential targets looking for vulnerabilities that span multiple institutions. Soteria ... -
Source Code Stylometry and Authorship Attribution for Open Source
(University of Waterloo, 2019-09-23)Public software repositories such as GitHub make transparent the development history of an open source software system. Source code commits, discussions about new features and bugs, and code reviews are stored and carefully ... -
Sovereign Credit Risk Analysis for Selected Asian and European Countries
(University of Waterloo, 2013-05-21)We analyze the nature of sovereign credit risk for selected Asian and European countries through a set of sovereign CDS data for an eighty-year period that includes the episode of the 2008-2009 financial crisis. Our ... -
Space Efficient Data Structures and Algorithms in the Word-RAM Model
(University of Waterloo, 2018-04-30)In modern computation the volume of data-sets has increased dramatically. Since the majority of these data-sets are stored in internal memory, reducing their storage requirement is an important research topic. One way ... -
Space-Efficient Data Structures for Information Retrieval
(University of Waterloo, 2013-04-30)The amount of data that people and companies store has grown exponentially over the last few years. Storing this information alone is not enough, because in order to make it useful we need to be able to efficiently search ... -
Space-Efficient Data Structures in the Word-RAM and Bitprobe Models
(University of Waterloo, 2013-08-28)This thesis studies data structures in the word-RAM and bitprobe models, with an emphasis on space efficiency. In the word-RAM model of computation the space cost of a data structure is measured in terms of the number of ... -
Space-time hybridizable discontinuous Galerkin methods for free-surface wave problems
(University of Waterloo, 2020-08-28)Free-surface problems arise in many real-world applications such as in the design of ships and offshore structures, modeling of tsunamis, and dam breaking. Mathematically, free-surface wave problems are described by a set ... -
Spam Filter Improvement Through Measurement
(University of Waterloo, 2009-04-27)This work supports the thesis that sound quantitative evaluation for spam filters leads to substantial improvement in the classification of email. To this end, new laboratory testing methods and datasets are introduced, ... -
Sparse Automatic Sets
(University of Waterloo, 2020-11-26)The theory of automatic sets and sequences arises naturally in many different areas of mathematics, notably in the study of algebraic power series in positive characteristic, due to work of Christol, and in Derksen's ... -
Sparse Identification of Epidemiological Models from Empirical Data
(University of Waterloo, 2018-09-20)Current modelling practices in mathematical epidemiology are predicated on mechanisms stemming from theoretical assumptions, such as mass action incidence. Deterministic disease models can describe many patterns observed ... -
Sparse Models in High-Dimensional Dependence Modelling and Index Tracking
(University of Waterloo, 2017-01-17)This thesis is divided into two parts. The first part proposes parsimonious models to the vine copula. The second part is devoted to the index tracking problem. Vine copulas provide a flexible tool to capture asymmetry ... -
Sparse Polynomial Interpolation and Testing
(University of Waterloo, 2016-03-03)Interpolation is the process of learning an unknown polynomial f from some set of its evaluations. We consider the interpolation of a sparse polynomial, i.e., where f is comprised of a small, bounded number of terms. Sparse ... -
A Sparse Random Feature Model for Signal Decomposition
(University of Waterloo, 2022-05-11)Signal decomposition and multiscale signal analysis provide useful tools for time-frequency analysis. In this thesis, an overview of the signal decomposition problem is given and popular methods are discussed. A novel ... -
Sparsity in Critical Graphs with Small Clique Number
(University of Waterloo, 2020-08-27)In 1998, Reed conjectured that for every graph $G$, $\chi(G) \leq \lceil \frac{1}{2}(\Delta(G)+1+\omega(G)) \rceil$, and proved that there exists $\varepsilon > 0$ such that $\chi(G) \leq \lceil (1 - \varepsilon)(\Delta(G)+1) ... -
Spatial and Temporal Discounting in a Social-Climate Model
(University of Waterloo, 2024-01-25)This thesis analyzes how individuals' devaluation of distant impacts of climate change affects mitigation behaviours and projected climate conditions. To approach this question, spatial and temporal discounting is applied ...