Now showing items 1-20 of 1965

• Correlation and Communication via a Quantum Field ﻿

(University of Waterloo, 2019-07-15)
We study the ability of qubit detectors to i) extract correlations from, and ii) transmit quantum information through, a quantum field. We start by perturbatively studying the harvesting of correlations from thermal and ...
• Computability Theory and Some Applications ﻿

(University of Waterloo, 2019-07-15)
We explore various areas of computability theory, ranging from applications in computable structure theory primarily focused on problems about computing isomorphisms, to a number of new results regarding the degree-theoretic ...
• Applications of Stochastic Gradient Descent to Nonnegative Matrix Factorization ﻿

(University of Waterloo, 2019-07-15)
We consider the application of stochastic gradient descent (SGD) to the nonnegative matrix factorization (NMF) problem and the unconstrained low-rank matrix factorization problem. While the literature on the SGD algorithm ...
• Unitary Correlation Sets and their Applications ﻿

(University of Waterloo, 2019-07-04)
We relate Connes' embedding problem in operator algebras to the Brown algebra Unc(n), which is defined as the universal unital C*-algebra generated by the entries of an n x n unitary matrix. In particular, we show that the ...
• A Statistical Response to Challenges in Vast Portfolio Selection ﻿

(University of Waterloo, 2019-07-04)
The thesis is written in response to emerging issues brought about by an increasing number of assets allocated in a portfolio and seeks answers to puzzling empirical findings in the portfolio management area. Over the ...
• Invariant manifold theory for impulsive functional differential equations with applications ﻿

(University of Waterloo, 2019-07-03)
The primary contribution of this thesis is a development of invariant manifold theory for impulsive functional differential equations. We begin with an in-depth analysis of linear systems, immersed in a nonautonomous ...
• Optimization for Image Segmentation ﻿

(University of Waterloo, 2019-06-26)
Image segmentation, i.e., assigning each pixel a discrete label, is an essential task in computer vision with lots of applications. Major techniques for segmentation include for example Markov Random Field (MRF), Kernel ...
• Risk Management with Non-Convex and Non-Monotone Preferences ﻿

(University of Waterloo, 2019-06-24)
This thesis studies two types of problems, the theory of risk functionals and the risk sharing problem. We put a special focus on a class of non-monotone law-invariant risk functionals, called the signed Choquet integrals. The ...
• Model-Based Bayesian Sparse Sampling for Data Efficient Control ﻿

(University of Waterloo, 2019-06-24)
In this work, we propose a novel Bayesian-inspired model-based policy search algorithm for data efficient control. In contrast to other model-based approaches, our algorithm makes use of approximate Gaussian processes in ...

(University of Waterloo, 2019-06-19)
Privacy policies have been known to be hard to read and understand by internet users and yet users are obliged to accept these one-sided terms of usage of their data before they can effectively use websites. Although ...
• Approximation Constants for Closed Subschemes of Projective Varieties ﻿

(University of Waterloo, 2019-06-19)
Diophantine approximation is a branch of number theory with a long history, going back at least to the work of Dirichlet and Liouville in the 1840s. The innocent-looking question of how well an arbitrary real algebraic ...
• Fast Multi-Level Co-Clustering ﻿

(2013)
We present a new multilevel method for hierarchical co-clustering. The fast multilevel co-clustering method (FMCC) implements a bi-coarsening process on the bipartite graph induced by the feature matrix. It does so in a ...
• Degrees of Categoricity and the Isomorphism Problem ﻿

(University of Waterloo, 2019-06-12)
In this thesis, we study notions of complexity related to computable structures. We first study degrees of categoricity for computable tree structures. We show that, for any computable ordinal $\alpha$, there exists a ...
• Entity Matching and Disambiguation Across Multiple Knowledge Graphs ﻿

(University of Waterloo, 2019-06-10)
Knowledge graphs are considered an important representation that lie between free text on one hand and fully-structured relational data on the other. Knowledge graphs are a back-bone of many applications on the Web. With ...
• Theoretical foundations for efficient clustering ﻿

(University of Waterloo, 2019-06-07)
Clustering aims to group together data instances which are similar while simultaneously separating the dissimilar instances. The task of clustering is challenging due to many factors. The most well-studied is the high ...
• Sidon and Kronecker-like sets in compact abelian groups ﻿

(University of Waterloo, 2019-06-07)
Let $G$ be a compact abelian group and $\Ga$ be its discrete dual group. In this thesis we study various types of interpolation sets. A subset $E \subset \Ga$ is Sidon if every bounded function on $E$ can be interpolated ...
• Algebraic and combinatorial aspects of incidence groups and linear system non-local games arising from graphs ﻿

(University of Waterloo, 2019-06-06)
To every linear binary-constraint system (LinBCS) non-local game, there is an associated algebraic object called the solution group. Cleve, Liu, and Slofstra showed that a LinBCS game has a perfect quantum strategy if 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 ...
• Kalman Filter Based Sensor Placement For Burgers Equation ﻿

(University of Waterloo, 2019-06-03)
The algorithm used for determining sensor placement in this thesis will be based on the Kalman filter. This filter is very famous and its application are numerous - some examples include aircraft navigation, finance and ...
• Numerical Simulations of Internal Solitary and Solitary-Like Waves: Wave Interactions and Instabilities ﻿

(University of Waterloo, 2019-05-31)
Internal solitary and solitary-like waves (ISWs) are commonly observed in stably stratified fluids such as the Earth's atmosphere and oceans. As these waves interact with other physical processes and/or move through a ...

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