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Items (81-100) out of 187 results

Improving Information Propagation in Phylogenetic Workflows

Description:
Despite the enormous amount of biological variation and technical uncertainty in sequence data, most phylogenetic workflows propagate a single point estimate throughout the numerous analysis …
Year:
2018
Contributor:
Guang, August (creator)
Lawrence, Charles (Advisor)
Dunn, Casey (Reader)
Lewis, Paul (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
HIV/AIDS
Probability
Computational biology
Phylogeny
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Improving Portfolio Construction through Side Information and Quantified Uncertainty

Description:
Motivated largely by the problems of estimation error in investment portfolio optimization, this dissertation develops techniques to improve covariance forecasting and portfolio construction. Covariance forecasting …
Year:
2023
Contributor:
Shah, Anish Rasiklal (creator)
Harrison, Matthew (Advisor)
Upfal, Eli (Reader)
Kolm, Petter (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Risk
Uncertainty--Mathematical models
Uncertainty Quantification
Forecasting
Covariance
Portfolio management--Mathematical models
Robust optimization
Risk Parity
Side Information
Uncertainty
Portfolio optimization
Hedging (Finance)
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Infectious Disease Spread on Context-Specific Interaction Networks: Influenza and COVID-19

Description:
The spread of infectious disease is strongly influenced by human interaction. In order to understand this connection and develop effective strategies against future outbreaks, it …
Year:
2021
Contributor:
Mallory, Kristina (creator)
Sandstede, Bjorn (Advisor)
Maxey, Martin (Reader)
Harrison, Matthew (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Epidemiology
Biology--Mathematical models
Applied mathematics
Infection
Influenza
Communicable diseases
COVID-19
Coronavirus infections
Contact tracing (Epidemiology)
Social distancing (Public health)
Influenza--Prevention
SARS-CoV-2
Emerging infectious diseases
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Inference in Discrete High Dimensional Space: An Exploration of the Earth's Ice Sheets through Change Point and Variable Selection Techniques

Description:
Glaciers have been melting and reforming on the Earth for millions of years. Over the last several decades, Geologists have created δ18O proxy records that …
Year:
2010
Contributor:
Ruggieri, Eric R (creator)
Lawrence, Charles (Director)
Thompson, William (Reader)
Clemens, Steven (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Change Point
Variable Selection
Geological Time Series
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Infinite-Dimensional Scaling Limits of Stochastic Networks

Description:
Large-scale stochastic networks arise in a variety of real world applications such as telecommunications, service systems, computer networks, health care, and biological systems. Such networks …
Year:
2016
Contributor:
Aghajani, Mohammadreza (creator)
Ramanan, Kavita (Director)
Kaspi, Haya (Reader)
Robert, Philippe (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Stochastic Networks
Scaling Limits
Queueing Theory
Many-Server Queues
Load-Balancing
Stationary distribution
Ergodicity
Asymptotic coupling
GI/GI/N queue
Halfin-Whitt regime
diffusion approximations
Queuing theory
Stochastic partial differential equations
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Interpretable Probabilistic Methods for Genetic Association Mapping and Shape Generation

Description:
As data structures become larger and more complex, methods of data analysis must evolve to harness the most accurate insights. Inspired by the challenges presented …
Year:
2024
Contributor:
Winn-Nunez, Emily Taylor (creator)
Crawford, Lorin (Advisor)
Sandstede, Bjorn (Reader)
Wong, Ian (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Machine Learning
Applied mathematics
Shape
Computational biology
nonlinear model fitting
topological data analysis
Quantitative genetics
Bayesian Statistics
Computational modeling
Generative Models
Shapes
Ranking and selection (Statistics)
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Kinetic Limits of Piecewise Deterministic Markov Processes and Grain Boundary Coarsening

Description:
The subject of this thesis is the development of a stochastic process that can be interpreted as a model of grain coarsening, a central problem …
Year:
2014
Contributor:
Klobusicky, Joe J (creator)
Menon, Govind (Director)
Ramanan, Kavita (Reader)
Pego, Robert (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
grain coarsening
kinetic equations
Markov processes
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
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

Lagrangian Data Assimilation and its Applications to Geophysical Fluid Flows

Description:
Lagrangian data assimilation is the process of estimating a velocity flow field, given observations of the locations of passive drifters whose trajectories are determined by …
Year:
2014
Contributor:
Slivinski, Laura C (creator)
Sandstede, Bjorn (Director)
Maxey, Martin (Reader)
Spiller, Elaine (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
data assimilation
ensemble methods
nonlinearity
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Large deviation based design of an interacting particle method to compute moment generating functions

Description:
This thesis introduces a novel interacting particle scheme that combines large deviation analysis with the standard splitting method and rare event analysis to compute the …
Year:
2025
Contributor:
Liu, Mengjie (creator)
Dupuis, Paul (Advisor)
Nguyen, Oanh (Reader)
Harrison, Matthew (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Large deviations
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Large Deviations and Importance Sampling for Queuing Systems with Discontinuous Service Policies

Description:
The first two thirds of this thesis are concerned with the properties of a single server using the weighted-serve-the-longest queue policy (WSLQ). It addresses three …
Year:
2008
Contributor:
Leder, Kevin Z. (creator)
Wang, Hui (director)
Dupuis, Paul (reader)
Hult, Henrik (reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Importance Sampling
Sample Path Large Deviations
Queueing Theory
Queuing theory
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Large deviations and quasipotential for finite state mean field interacting particle systems

Description:
We study a general class of mean field interacting particle systems with a finite state space. Particles evolve as exchangeable jump Markov processes, where finite …
Year:
2014
Contributor:
Wu, Wei (creator)
Dupuis, Paul (Director)
Ramanan, Kavita (Director)
Fleming, Wendell (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
interacting particle systems
mean field limits
quasipotential
Large deviations
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Large Deviations for a Feed-forward Network & Importance Sampling for a Single Server Priority Queue

Description:
This thesis considers a feed-forward network with a single server station serving jobs with multiple levels of priority. The service discipline is preemptive in that …
Year:
2012
Contributor:
Setayeshgar, Leila (creator)
Wang, Hui (Director)
Blanchet, Jose (Reader)
Holmer, Justin (Reader)
Ramanan, Kavita (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Weak Convergence
Discontinuous Dynamics
Large deviations
Language:
English
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

Large Deviations Rate Functions for the Empirical Measure: Explicit Formulas and an Application to Monte Carlo

Description:
In this thesis, we use the large deviations principle to characterize the rate of convergence of the empirical measures of Markov processes. An explicit formula …
Year:
2013
Contributor:
Liu, Yufei (creator)
Dupuis, Paul (Director)
Doll, Jimmie (Reader)
Ramanan, Kavita (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
empirical measure
Markov jump process
Markov chain Monte Carlo
Large deviations
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Localized Structures in the Multi-dimensional Swift-Hohenberg Equation

Description:
This goal of this thesis is to understand patterns in the Swift{Hohenberg equation. Thepatterns studied are localized, stationary and radially symmetric in dimensions one throughthree. …
Year:
2011
Contributor:
McCalla, Scott G (creator)
Sandstede, Bjorn (Director)
Mallet-Paret, John (Reader)
Scheel, Arnd (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Pattern Formation
PDEs
Differential equations, Partial
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

A longitudinal analysis of self-rated health among women in Cebu, Philippines

Description:
We analyze the self-rated health (SRH) of women in Cebu, Philippines. In three surveys conducted between 2002 and 2007, each woman in the study cohort …
Year:
2017
Contributor:
Mendoza, Monica-Ann (author)
Sullivan, Adam (advisor)
Trillos, Nicolas Garcia (reader)
Brown University (sponsor)
Genre:
theses
Subject:
Health
Philippines
Biostatistics
Machine learning
Collection:
Biology and Medicine
Theses and Dissertations
Applied Mathematics
Theses and Dissertations
Full Record

Mesoscale Eddies as a Mechanism for Fluxes in the Southern Ocean

Description:
The Southern Ocean plays a major role in global ocean dynamics, including the regulation of heat and salt in the climate system that supports life …
Year:
2025
Contributor:
Choudhury, Ayushman (creator)
Freilich, Mara (thesis advisor)
Dove, Lily (thesis advisor)
Bergen, Karianne (reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Eddies--Mathematical models
Antarctic Ocean
Oceanography--Research
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Message Passing Dynamics of Belief Propagation Algorithms

Description:
Our work is motivated by the classical belief propagation algorithms which are well-known for obtaining state of the art results in certain settings, but often …
Year:
2022
Contributor:
Grim, Anna (creator)
Felzenszwalb, Pedro (Advisor)
Harrison, Matt (Reader)
Guzman, Johnny (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Inference
Approximation Algorithms
Graphical modeling (Statistics)
Belief Propagation
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Model Drift in Brain-Computer Interfaces and Space-Based Remote Sensing

Description:
As predictive machine learning algorithms become increasingly prevalent, addressing performance degradation due to model drift throughout a system's life cycle has become critical. This thesis …
Year:
2024
Contributor:
Khoshnevis, Mona (creator)
Sandstede, Bjorn (Reader)
Simeral, John (Reader)
Kellner, James (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Brain-computer interfaces
GEDI
Drift--Mathematical models
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Items (81-100) out of 187 results