Dissertations and Theses  Mathematics, Statistics, and Computer Science
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Broad Learning for Healthcare
(20180327)A broad spectrum of data from different modalities are generated in the healthcare domain every day, including scalar data (e.g., clinical measures collected at hospitals), tensor data (e.g., neuroimages analyzed by research ... 
Rigid MultiMotion Optical Flow Estimation
(20180112)Optical flow is a fundamental problem in computer vision. Given a pair of image frames from a video source, the objective is to estimate the movement, or translation of pixels in the second image with respect to the first ... 
An Iterative Spectral Approach to Recovering Planted Partitions
(20180406)In the planted partition problem, the n vertices of a random graph are partitioned into k "clusters," and edges between vertices in the same cluster and different clusters are included with constant probability p and q, ... 
Towards High Performance Determinism for Multithreaded Programs
(20180419)The emergence of multicore commodity processors, and more recently accelerators, has brought about a resurgence of interest in parallel programming. With that renewed interest comes a concern amongst practitioners and ... 
Algorithms and Implementations in Computational Algebraic Geometry
(20180327)In this thesis, we explore several areas of computational algebraic geometry, and develop new algorithms and software in each. We are generally interested in solving polynomial systems and applications that require solving ... 
New Models and Algorithms for Data Analysis
(20180411)In this thesis, we introduce and analyze new models and new algorithms for problems in data analysis. Many new challenges and constraints for data analysis have arisen as data analysis has become increasingly important. ... 
Computing Series Expansions of Algebraic Space Curves
(20180402)We work towards a seriesbased computational approach for polynomial systems having positivedimensional solution sets. The tropical variety gives information on the exponents of the leading terms of the series; we provide ... 
Improving Web Privacy And Security with a CostBenefit Analysis of the Web API
(20180417)Over the last two decades, the web has grown from a system for delivering static documents, to the world’s most popular application platform. As the web has become more popular and successful, browser vendors have added ... 
Supporting Navigation with a Torso Wearable Tactile Display
(20180410)An estimated 253 million people in the world are blind and visually impaired. Visual impairments can significantly lower one's quality of life as they hamper the ability to perform otherwise simple tasks, like cooking a ... 
Visual Analysis Techniques for Dynamic Biological Networks
(20180409)Due to the complexity of biological data that can be collected, modeled and analyzed thanks to technological and algorithmic advancements, the difficulty in studying biological networks has increased over the last decades. ... 
Optimal Design for Nonlinear Model with Random Eﬀect and InformationBased Subdata Selection for LASSO
(20171220)Optimal designs for nonlinear model with random block eﬀects are systematically studied. For a large class of nonlinear models, we prove that any optimal design can be based on some simple structures. We further derive the ... 
DecisionTheoretic Monitoring of CyberPhysical Systems
(20180413)Cyberphysical systems (CPS) represent "engineered systems that are built from, and depend upon, the seamless integration of computational algorithms and physical components". They can be found in such areas as aerospace, ... 
Hellinger Information and Optimal Design for Nonregular Models
(20180316)Classically, the Fisher information is the relevant object for defining optimal experimental designs. However, for models that lack certain regularity, the Fisher information does not exist and, hence, no notion of design ... 
Advancing Open Information Extraction Methods to Enrich Knowledge Bases
(20170905)Discovering knowledge from textual sources and subsequently expanding the coverage of knowledge bases like DBpedia or Google’s Knowledge Graph currently requires either extensive manual work or carefully designed open ... 
Gibbs Posterior Distributions: New Theory and Applications
(20171122)Bayesian inference is, by far, the most wellknown statistical method for updating beliefs about a population feature of interest in light of new data. Current beliefs, characterized by a probability distribution called a ... 
Advanced Techniques for Mobile Localization and Tracking
(20170919)There is an exponential growth of smartphone usage and computational capability in the past several years. The widespread usage of smartphones provides a unique opportunity for largescale monitoring of urban and suburban ... 
Data Analysis on Locationbased Social Networks
(20171205)As locationbased applications rapidly gain popularity, a large volume of online contents with geotagged information are created daily. Checkins, as a direct channel connecting the online and offline worlds, aid the ... 
Clustering DNA Sequences Using Fourier Power Spectrum and Chaos Game Representation
(20170830)With the exponential growth of databases of DNA sequences in the past decades, it has become ineffective to analyze biological data through only the traditional experimental methods. As a result, computational methods that ... 
Analysis of Privacy Measures for MultiAgent and Networked Systems
(20170503)Privacy Preserving Computation is an important area of research. Quantifying privacy (or loss of) is a crucial part of such research. In this thesis we have provided various techniques for quantifying loss of privacy in ... 
Vaught's TwoCardinal Theorem and Notions of Minimality in Continuous Logic
(20170727)Much of the work in this thesis was motivated by an effort to prove a continuous analogue of the BaldwinLachlan characterization of uncountable categoricity: a theory T in a countable language is uncountably categorical ...