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Exploring Edge Detection Methods for Improved Image Classification
Creator:
Spitaels, Juliette
Advisor:
Arnold, Andrea N.
Publisher:
Worcester Polytechnic Institute
Date Created:
2023-06-08
Resource Type:
Report
Degree:
MS
Unit (Department):
Mathematical Sciences
Combinatorics of Complex Maximal Determinant Matrices
Keyword:
maximal determinant matrices
,
hadamard matrices
,
combinatorial designs
,
finite geometries
,
association schemes
, and
quadratic and hermitian forms
Creator:
Nunez, Guillermo
Advisor:
Keane, Patrick Gerard
Publisher:
Worcester Polytechnic Institute
Date Created:
2023-08-09
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
Novel Statistical Methods for Aggregating Correlated and Missing Data with Applications to Chronic Disease Research
Keyword:
correlation-robustness
,
missing data
,
Fisher's method
,
global hypothesis test
, and
p-value combination
Creator:
Chen, Xiaohui
Advisor:
Wu, Zheyang
Publisher:
Worcester Polytechnic Institute
Date Created:
2023-08-10
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
Bayesian Predictive Inference for a Study Variable Without Specifying a Link to the Covariates
Keyword:
small area estimation
,
stick-breaking prior
,
Bayesian predictive inference
,
survey weights
,
multinomial-Dirichlet model
, and
spatial modeling
Creator:
Lockwood, Ashley
Advisor:
Nandram, Balgobin
Publisher:
Worcester Polytechnic Institute
Date Created:
2023-04-23
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
Analysis and Homogenization of Partial Differential Equations with Discontinuous Boundary Conditions
Keyword:
Reaction-diffusion-advection equations
,
Partial differential equations
,
Duality
,
Homogenization
,
Stokes equations
, and
Moving domains
Creator:
Sato, Riuji
Advisor:
Vernescu, Bogdan M.
Publisher:
Worcester Polytechnic Institute
Date Created:
2023-04-26
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
Predictive Power and Efficient Sample Size in Linear Regression Models
Creator:
Ma, Yifan
Advisor:
Wu, Zheyang
Publisher:
Worcester Polytechnic Institute
Date Created:
2023-04-27
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
The Calkin-Wilf Tree: Theme and Variations
Keyword:
continued fractions
,
Euclidean algorithm
, and
Calkin-Wilf
Creator:
Gobler, Benjamin
Advisor:
Servatius, Herman
and
Servatius, Brigitte
Publisher:
Worcester Polytechnic Institute
Date Created:
2023-04-30
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
Quasi-Static Griffith Fracture Evolution with Boundary Loads
Keyword:
Energy Drops
,
Boundary Loads
,
Free Discontinuity Problem
,
Quasi-Static Fracture Evolution
, and
Neumann Boundary Conditions
Creator:
Yousefi, Pooya
Advisor:
Larsen, Christopher J.
Publisher:
Worcester Polytechnic Institute
Date Created:
2023-05-01
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
On the Decay Rate of Singular Values of Integral Operators
Creator:
Levine, Matthew
Advisor:
Volkov, Darko
Publisher:
Worcester Polytechnic Institute
Date Created:
2023-05-03
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
Utilizing an Ensemble Kalman Filter and SEIRV Model to Estimate the Vaccination Rate of Measles
Creator:
Folino, Molly
Advisor:
Arnold, Andrea N.
Publisher:
Worcester Polytechnic Institute
Date Created:
2023-05-05
Resource Type:
Report
Degree:
MS
Unit (Department):
Mathematical Sciences
Price Impact in the VIX Futures Market and Mean-Field Games in two Order Books
Keyword:
S&P500
,
VIX
,
ETFs
,
Price impact
,
ETNs
, and
VIX futures
Creator:
Santawisook, Patchara
Advisor:
Sturm, Stephan
Publisher:
Worcester Polytechnic Institute
Date Created:
2022-12-07
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
On 3-cube-free constructions in the integers modulo 2^n
Keyword:
combinatorics
,
additive combinatorics
,
set theory
,
optimization
, and
extremal combinatorics
Creator:
Washock, Ethan
Advisor:
Wagner, Adam
Publisher:
Worcester Polytechnic Institute
Date Created:
2022-12-08
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
Mathematical Principles for Deconstructing Deep Learning: Theory and Application to Electromagnetic Signals
Keyword:
Signal Processing
,
Activation Function
,
Electromagnetics
,
Neural Networks
,
Deep Learning
, and
Polynomial Activation
Creator:
Witz, Evan
Advisor:
Paffenroth, Randy Clinton
Publisher:
Worcester Polytechnic Institute
Date Created:
2022-08-05
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
Weighing Matrices and Huang’s graph theoretic proof of the Sensitivity Conjecture
Creator:
Kalampalikis, Nikolaos
Advisor:
Keane, Patrick Gerard
Publisher:
Worcester Polytechnic Institute
Date Created:
2022-03-14
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
Robust Deep Learning Algorithms for System Identification
Keyword:
Ordinary Differential Equations
,
Deep Learning
,
Neural Network
,
Generalization Gap
,
System Identification
, and
Neural Network Regularization
Creator:
Negrini, Elisa
Advisor:
Capogna, Luca
and
Citti, Giovanna
Publisher:
Worcester Polytechnic Institute
Date Created:
2022-04-23
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
Stochastic Controls in Competitions and Mean Field Games
Keyword:
Mutual Funds
,
Mean Field Games
,
Game Theory
,
Nash Equilibrium
,
Tax
, and
Stochastic Controls
Creator:
Ye, Jiaxuan
Advisor:
Sturm, Stephan
and
Wang, Gu
Publisher:
Worcester Polytechnic Institute
Date Created:
2022-04-26
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
Constraint Bayesian Inference for Count Data from Small Areas
Keyword:
Small Area Estimation
,
Unimodal Order Restrictions
,
Bayesian Statistics
,
Constraint Inference
, and
Multinomial Data
Creator:
Chen, Xinyu
Advisor:
Nandram, Balgobin
Publisher:
Worcester Polytechnic Institute
Date Created:
2021-12-04
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
A New Class of Elliptically Contoured Random Fields and Its Stochastic Orderings
Creator:
Chen, Boming
Advisor:
Peiris, Buddika
Publisher:
Worcester Polytechnic Institute
Date Created:
2020-12-18
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
Optimal Ensembles for Deep Learning: Theory and Practice
Keyword:
Deep Learning
,
Theory
,
Diversity
,
Application
,
Ensemble Learning
, and
Training Algorithm
Creator:
Li, Wenjing
Advisor:
Paffenroth, Randy Clinton
Publisher:
Worcester Polytechnic Institute
Date Created:
2021-05-05
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
Transfer Theory and Homology
Creator:
Cheng, Yu
Advisor:
Keane, Patrick Gerard
Publisher:
Worcester Polytechnic Institute
Date Created:
2021-05-06
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
BAYESIAN PREDICTIVE INFERENCE WITH SURVEY WEIGHTS
Keyword:
Non-probability samples
,
Survey weights
,
Bayesian statistics
,
Normalized likelihood
, and
Selection bias
Creator:
Yang, Lingli
Advisor:
Nandram, Balgobin
Publisher:
Worcester Polytechnic Institute
Date Created:
2021-05-06
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
Application of Meta Analysis on ROC Curve
Creator:
Yang, Shuang
Advisor:
Peiris, Buddika
Publisher:
Worcester Polytechnic Institute
Date Created:
2021-05-06
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
Comparing ROC Curves on Multiclass Classification for Predicting Quality of Wine
Creator:
Zhang, Mengze
Advisor:
Peiris, Buddika
Publisher:
Worcester Polytechnic Institute
Date Created:
2021-05-06
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
Minimization Tools in MATLAB
Creator:
Robinson, Lynnette R.
Advisor:
Tilley, Burt S.
Publisher:
Worcester Polytechnic Institute
Date Created:
2020-05-18
Resource Type:
Report
Degree:
MS
Unit (Department):
Mathematical Sciences
Nonlinear Numerical Methods for Stochastic Differential Equations
Creator:
Dong, Yuchen
Advisor:
Zhang, Zhongqiang
Publisher:
Worcester Polytechnic Institute
Date Created:
2020-08-13
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
Bayesian Predictive Inference for a Non-probability Sample with Binary Responses from Small Areas
Keyword:
Selectivity
,
Dirichlet Process
,
Double logistic regression
,
Bayesian hierarchical model
,
Small area estimation
, and
Metropolis - Hastings sampler
Creator:
Xu, Zhiqing
Advisor:
Nandram, Balgobin
Publisher:
Worcester Polytechnic Institute
Date Created:
2020-09-09
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
Global Approximations of Agent-Based Model State Changes
Keyword:
Numerical Partial Differential Equations
,
Partial Differential Equations
,
Agent-Based Models
,
Upscaling
,
Mathematical Modeling
, and
Absorption Modeling
Creator:
Yereniuk, Michael A.
Advisor:
Olson, Sarah D
Publisher:
Worcester Polytechnic Institute
Date Created:
2020-04-21
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
High-order numerical methods for integral fractional Laplacian: algorithm and analysis
Keyword:
stability
,
regularity
,
convergence
,
fractional laplacian
,
spectral method
, and
finite difference method
Creator:
Hao, Zhaopeng
Advisor:
Zhang, Zhongqiang
Publisher:
Worcester Polytechnic Institute
Date Created:
2020-04-30
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
Convergence of a Numerical Method for Reconstructing Faults from Boundary Measurements
Keyword:
reconstruction method
Creator:
Jiang, Yulong
Advisor:
Volkov, Darko
Publisher:
Worcester Polytechnic Institute
Date Created:
2020-05-17
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
Bayesian Predictive Inference for Nonprobability Samples
Keyword:
Superpopulation
,
Bayesian inference
, and
Spatial correlation
Creator:
Cao, Hanqi
Advisor:
Nandram, Balgobin
Publisher:
Worcester Polytechnic Institute
Date Created:
2019-04-28
Resource Type:
Report
Degree:
MS
Unit (Department):
Mathematical Sciences
2-D Epithelial Tissues, Cell Mechanics, and Voronoi Tessellation
Keyword:
2-D Epithelial Tissues
,
Voronoi Tessellation
, and
Cell Mechanics
Creator:
Olaranont, Nonthakorn
Advisor:
Wu, Min
Publisher:
Worcester Polytechnic Institute
Date Created:
2019-04-25
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
Computational Characterization of Thermal Processes in an AlN:Mo Susceptor in a Millimeter Wave Heat Exchanger
Keyword:
electromagnetic heating
Creator:
Martin, Stephanie
Advisor:
Yakovlev, Vadim V.
Publisher:
Worcester Polytechnic Institute
Date Created:
2019-04-25
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
Bayesian Small Area Analyses of the Unrelated Question Design with Multiple Sensitive Questions
Keyword:
Markov chain Monte Carlo methods.
,
Data masking
,
Hierarchical Bayesian model
,
Latent variables
,
Elicitation
,
Integrated nested normal approximation
,
Blocked Gibbs sampler
, and
Logistic regression
Creator:
Yu, Yuan
Advisor:
Nandram, Balgobin
Publisher:
Worcester Polytechnic Institute
Date Created:
2019-04-24
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
In the Wake of the Financial Crisis - Regulators' and Investors' Perspectives
Keyword:
financial crisis
,
contagion
,
systemic risk
,
backward stochastic differential equations
,
value adjustments
,
interbank networks
,
Eisenberg–Noe clearing vector
,
option pricing
,
arbitrage pricing
, and
sensitivity analysis
Creator:
Pang, Weijie
Advisor:
Sturm, Stephan
Publisher:
Worcester Polytechnic Institute
Date Created:
2019-04-23
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
Cometric Association Schemes
Keyword:
Graph theory
,
Commutative algebra
, and
Association schemes
Creator:
Kodalen, Brian G.
Advisor:
Martin, William J.
Publisher:
Worcester Polytechnic Institute
Date Created:
2019-04-22
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
Modeling and Numerical Simulations of Active and Passive Forces Using Immersed Boundary Method
Creator:
Lai, Xin
Advisor:
Lui, Roger Y
Publisher:
Worcester Polytechnic Institute
Date Created:
2019-12-11
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
Data Mining for Car Insurance Claims Prediction
Keyword:
data mining; statistical methods; prediction; gini
Creator:
Huangfu, Dan
Advisor:
Petruccelli, Joseph D.
Publisher:
Worcester Polytechnic Institute
Date Created:
2015-04-27
Resource Type:
Report
Degree:
MS
Unit (Department):
Mathematical Sciences
Portfolio Construction Using Principle Component Analysis
Keyword:
Principle Component Analysis
Creator:
Chen, Huanting
Advisor:
Blais, Marcel Y.
Publisher:
Worcester Polytechnic Institute
Date Created:
2014-08-06
Resource Type:
Report
Degree:
MS
Unit (Department):
Mathematical Sciences
Dense Matrices for Biofluids Applications
Keyword:
biofluids; dense matrix;
Creator:
Chen, Liwei
Advisor:
Olson, Sarah D
Publisher:
Worcester Polytechnic Institute
Date Created:
2014-04-30
Resource Type:
Report
Degree:
MS
Unit (Department):
Mathematical Sciences
A Bayesian Test of Independence for Two-way Contingency Tables Under Cluster Sampling
Keyword:
Surrogate samples; Bayes factor; Hierarchical Baye
Creator:
Bhatta, Dilli
Advisor:
Nandram, Balgobin
Publisher:
Worcester Polytechnic Institute
Date Created:
2013-04-19
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
Modeling Volatility Derivatives
Keyword:
Modeling Volatility Derivatives
Creator:
Carr, Justin P
Advisor:
Blais, Marcel Y.
Publisher:
Worcester Polytechnic Institute
Date Created:
2011-12-16
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
Pricing Options with Monte Carlo and Binomial Tree Methods
Keyword:
The Monte Carlo Methods
Creator:
Sun, Xihao
Advisor:
Blais, Marcel Y.
Publisher:
Worcester Polytechnic Institute
Date Created:
2011-05-03
Resource Type:
Report
Degree:
MS
Unit (Department):
Mathematical Sciences
Option Pricing Using Monte Carlo Methods
Keyword:
GBM.Monte Carlo
Creator:
Wang, Junxiong
Advisor:
Blais, Marcel Y.
Publisher:
Worcester Polytechnic Institute
Date Created:
2011-04-26
Resource Type:
Report
Degree:
MS
Unit (Department):
Mathematical Sciences
Bayesian Data Analysis For The Sovenian Plebiscite
Keyword:
Bayesian Data Analysis
Creator:
Padhy, Budhinath
Advisor:
Nandram, Balgobin
Publisher:
Worcester Polytechnic Institute
Date Created:
2011-04-28
Resource Type:
Report
Degree:
MS
Unit (Department):
Mathematical Sciences
Computational Methods for Option Pricing
Keyword:
Monte Carlo GBM
Creator:
Fei, Bingxin
Advisor:
Blais, Marcel Y.
Publisher:
Worcester Polytechnic Institute
Date Created:
2011-04-27
Resource Type:
Report
Degree:
MS
Unit (Department):
Mathematical Sciences
Modeling Blood Cell Concentration in a Dialysis Cartridge
Keyword:
dialysis
Creator:
Haas, Kathleen
Advisor:
Tilley, Burt S.
Publisher:
Worcester Polytechnic Institute
Date Created:
2010-04-28
Resource Type:
Report
Degree:
MS
Unit (Department):
Mathematical Sciences
The SCF-Anderson method for a Non-linear Eigenvalue Problem in Electronic Structure Computations
Keyword:
eigenvalue
Creator:
Ni, Peng
Advisor:
Walker, Homer F.
Publisher:
Worcester Polytechnic Institute
Date Created:
2009-09-09
Resource Type:
Phd Report
Degree:
PhD
Unit (Department):
Mathematical Sciences
Using Applied Statistics to Study a Pharmaceutical Manufacturing Process
Keyword:
Statistics
Creator:
Tiani, John P
Advisor:
Petruccelli, Joseph D.
Publisher:
Worcester Polytechnic Institute
Date Created:
2004-04-30
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
Some Problems in the Mathematics of Fracture: Paths From Front Kinetics and a Level Set Method
Keyword:
variational fracture crack fronts level set
Creator:
Richardson, Casey Lyndale
Advisor:
Larsen, Christopher J.
Publisher:
Worcester Polytechnic Institute
Date Created:
2008-04-25
Resource Type:
Dissertation
Degree:
PhD
Unit (Department):
Mathematical Sciences
A Bayesian Analysis of BMI Data of Children from Small Domains: Adjustment for Nonresponse
Keyword:
BMI; Bayesian; nonignorable nonresponse; small dom
Creator:
Zhao, Hong
Advisor:
Nandram, Balgobin
Publisher:
Worcester Polytechnic Institute
Date Created:
2006-12-21
Resource Type:
Thesis
Degree:
MS
Unit (Department):
Mathematical Sciences
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