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Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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  • 18 2019

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Items (1-18) out of 18 results

A Computational Commutative Algebra Approach to Tilings

Description:
In 1990, Thurston proved that for any two-dimensional simply connected region, the space of tilings is flip-connected. Later, Yamzon reproved this result using a commutative …
Year:
2019
Contributor:
Chin, Tracy (creator)
Klivans, Caroline (thesis advisor)
Valiant, Paul (reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Tiling (Mathematics)
Tiling spaces
Commutative algebra
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

A Discriminative Approach to Bayesian Filtering with Applications to Human Neural Decoding

Description:
Given a stationary state-space model that relates a sequence of hidden states and corresponding measurements or observations, Bayesian filtering provides a principled statistical framework for …
Year:
2019
Contributor:
Burkhart, Michael C. (creator)
Harrison, Matthew (Advisor)
Gidas, Basilis (Reader)
Darbon, Jerome (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Machine Learning
Brain-computer interfaces
Gaussian processes
Bayesian filtering
Supervised learning (Machine learning)
Neural decoding
Hidden Markov models
State-space models
Neural networks (Computer science)
Computational neuroscience
Discriminative probabilistic modeling
Nonparametric statistics
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

A Framework for Understanding Automation Propensities in the Job Market

Description:
With the phrases “artificial intelligence” and “Deep Learning” surfacing in the news alongside projections of rampant automation, this paper aims to explore Deep Learning in …
Year:
2019
Contributor:
Song, Carson (creator)
Sandstede, Bjorn (thesis advisor)
Pavlick, Ellie (reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Automation
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

A Stochastic Simulation for Evolution in a Changing Environment: Understanding Pyrimethamine Resistance in Plasmodium falciparum.

Description:
As a malaria patient takes and metabolizes weekly doses of an anti-malarial pyrimethamine, there is a periodic change in drug concentration. The growth rate, or …
Year:
2019
Contributor:
Bronson, Ryan (creator)
Weinreich, Daniel (thesis advisor)
Lawrence, Charles (reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Plasmodium falciparum
Malaria
Drug resistance
Population genetics--Mathematical models
Evolution (Biology)
Stochastic processes--Computer simulation
Heterozygosity
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Energy-aware optimization of scalable load balancing strategies

Description:
Queuing systems are one of the most prominent technological evolution in today's digital world. Data centers and cloud networks operated by large companies like Microsoft, …
Year:
2019
Contributor:
Chandak, Rajita (creator)
Ramanan, Kavita (thesis advisor)
Harrison, Matthew (reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Queuing theory
Queuing theory--Simulation methods
Martingales (Mathematics)
Limit theorems (Probability theory)
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

High Order Numerical Methods: Entropy Stability and Deterministic Solvers of Stochastic PDEs

Description:
This thesis consists of two diverse topics on high order numerical methods for time-dependent partial differential equations (PDEs). In the first part, we develop a …
Year:
2019
Contributor:
Chen, Tianheng (creator)
Shu, Chi-Wang (Advisor)
Rozovsky, Boris (Reader)
Guzmán, Johnny (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Discontinuous Galerkin Methods
Conservation laws (Mathematics)--Numerical solutions
Polynomial chaos
Stochastic calculus
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Identifying Diabetic Kidney Disease Risk Factors in the U.S. Population with Type 2 Diabetes Mellitus

Description:
Diabetes is the leading cause of chronic kidney disease and kidney failure worldwide, causing 44 percent of new cases of kidney failure each year. Although …
Year:
2019
Contributor:
Webb, Katherine (creator)
Aubert, Ronald (thesis advisor)
Sandstede, Bjorn (reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Applied mathematics
Biology
Diabetes
Diabetic nephropathies
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Available to Brown-affiliated users only
Full Record

Kinetics and the Folding of RNA and Other Polymers

Description:
In this thesis, we study kinetics and the folding of RNAs and other polymers. In the first part, we study the problem from a statistical …
Year:
2019
Contributor:
Zhou, Guangyao (creator)
Geman, Stuart (Advisor)
Lawrence, Charles (Reader)
Menon, Govind (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
RNA
Protein folding
Molecular dynamics
entropic barriers
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Large Deviations Principles on Jackson Network and Importance Sampling for a Jump-Diffusion Process

Description:
Large deviations are classical topics of study that enjoy great practical application under probability theory. In essence, it studies the properties lie in the tail …
Year:
2019
Contributor:
Sun, Weifeng (creator)
Wang, Hui (Advisor)
Dong, Hongjie (Reader)
Pirjol, Dan (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Monte Carlo method
Large deviations
Probability
Options (Finance)--Prices--Mathematical models
Queuing theory--Mathematical models
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Musical Source Separation: A Review of Techniques and the Proposal of Cepstromarg Filtering

Description:
In this thesis, we give a review of modern blind, semi-blind, and informed source separation techniques. Specifically, the details of independent component analysis are derived, …
Year:
2019
Contributor:
Charous, Aaron (creator)
Sandstede, Björn (thesis advisor)
Rose, Christopher (reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Information storage and retrieval systems--Music
Music information retrieval
Blind source separation
Independent component analysis
Non-negative matrices
Auditory scene analysis
Signal processing--Digital techniques--Mathematics
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Network characteristics associated with rapid HIV transmission among people who inject drugs in a rural county in the United States: a modelling study

Description:
Background: People who inject drugs (PWID) are at high-risk for acquiring HIV in the rural United States. In 2015, Scott County, Indiana experienced the largest …
Year:
2019
Contributor:
Singleton, Alyson (creator)
Harrison, Matthew (thesis advisor)
Marhall, Brandon (reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Modeling
HIV infections
Intravenous drug abusers
Epidemics
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Optimal Temperature Selection for Infinite Swapping in the Low Temperature Limit

Description:
Monte Carlo methods are arguably among the most general purpose numerical tools currently available. There is a relatively long history of the use of large …
Year:
2019
Contributor:
Wu, Guo-Jhen (creator)
Dupuis, Paul (Advisor)
Harrison, Matthew (Reader)
Budhiraja, Amarjit (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Large deviations
Markov chain Monte Carlo
Freidlin-Wentzell theory
Parallel tempering
Infinite swapping
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Simultaneous confidence bands in nonparametric binary regression and density estimation

Description:
This thesis concerns itself with the study of nonparametric simultaneous confidence bands for binary regression and density functions, which can be viewed as a multiple …
Year:
2019
Contributor:
Petrovic, Ivana (creator)
Harrison, Matthew (Advisor)
Bienenstock, Lucien (Reader)
Amarasingham, Asohan (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Nonparametric statistics
confidence bands
binary regression
Clopper-Pearson
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Splitting Techniques for Rare Event Simulation in Chemical Reaction Networks

Description:
Rare events are ones which occur infrequently, sometimes with extremely small probability, but they may nevertheless affect pertinent properties of a system. Such rare events …
Year:
2019
Contributor:
Snarski, Michael (creator)
Dupuis, Paul (Advisor)
Darbon, Jerome (Reader)
Matzavinos, Anastasios (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Limit theorems (Probability theory)
Large deviations
Probabilities
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Stability of Parallel-Server Systems with Service Elasticity

Description:
Large-scale cloud networks and data centers operate in distributed parallel queue systems, rather than maintaining a centralized queue. Since demand patterns vary depending on time …
Year:
2019
Contributor:
Sohan, Misha Wei (creator)
Ramanan, Kavita (thesis advisor)
Harrison, Matthew (reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Queuing theory
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Stationarity and Ergodicity of Local Dynamics of Interacting Markov Chains on Large Sparse Graphs

Description:
Finite-state interacting Markov chains are a well-studied class of stochastic processes on networks that have been used to model diverse phenomena, such as gas particles …
Year:
2019
Contributor:
Sudijono, Timothy (creator)
Ramanan, Kavita (thesis advisor)
Wang, Hui (reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Stochastic processes--Computer simulation
Conditional expectations (Mathematics)
Graphical modeling (Statistics)
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Stochastic Modeling of Data-driven Complex Systems Using Machine Learning Tools

Description:
This dissertation is composed around the subject of modeling data-driven stochastic complex systems, where there are two challenges: information fusion and uncertainty quantification. In this …
Year:
2019
Contributor:
Zhang, Dongkun (creator)
Karniadakis, George (Advisor)
Wang, Hui (Reader)
Sapsis, Themistoklis (Reader)
Babaee, Hessam (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Machine Learning
Data-Driven Scientific Computing
Uncertainty Quantification
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Wave propagation in spatially extended systems

Description:
Systems of oscillatory and excitable media frequently express regular spiral and traveling wave patterns, but bifurcations to complex structures are also common. Spiral wave patterns …
Year:
2019
Contributor:
Dodson, Stephanie (creator)
Sandstede, Bjorn (Advisor)
Mallet-Paret, John (Reader)
Beck, Margaret (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Biology--Mathematical models
Applied mathematics
Stability of spiral waves
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Items (1-18) out of 18 results