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Theses/Dissertations from 2023

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A generalized Kodaira vanishing theorem for Lie algebroids and a Riemann–Roch theorem for singular foliation, Tengzhou Hu

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A generalized Kodaira vanishing theorem for Lie algebroids and a Riemann–Roch theorem for singular foliation, Tengzhou Hu

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A Review of Recent Gene Expression-Based and DNA Methylation-Based Mathematical Cell Type Deconvolution Methods, Chenxiao Tian

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Effects of Functional Network Model Definition on Biomarker Outcome Prediction, Xinyang Feng

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Essays on Statistical Inference, Nonconvex Optimization and Machine Learning, Yanjie Zhong

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Haar Multipliers in the Context of Weighted Spaces and Bilinear Operators, Weiyan Huang

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Haar Multipliers in the Context of Weighted Spaces and Bilinear Operators, Weiyan Huang

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Market Making in Limit Order Books with Latency and Running Inventory Control, Chang Liu

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Market Making in Limit Order Books with Latency and Running Inventory Control, Chang Liu

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Subgroup Identification via Interaction Tree and Mixed Model for Repeated Measures with Application to Alzheimer’s Disease, Zhichen Xu

Theses/Dissertations from 2022

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A Nonconforming Finite Element Method for the 2D Vector Laplacian, Mary Barker

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Classical and Quantum Markov Chains Derived from Billiard-like Systems, Joshua Covey

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Contribution to Data Science: Time Series, Uncertainty Quantification and Applications, Dhrubajyoti Ghosh

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Contribution to Data Science: Time Series, Uncertainty Quantification and Applications, Dhrubajyoti Ghosh

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Dealing with Dimensionality: Problems and Techniques in High-Dimensional Statistics, Cezareo Rodriguez

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Geometry and Dynamics of Rolling Systems, Bowei Zhao

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Hodge Theoretic Compactification of Period Maps, Haohua Deng

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Kernel Estimation of Spot Volatility and Its Application in Volatility Functional Estimation, Bei Wu

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Properties of Cyclic Functions, Jeet Sampat

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Quantum Curves and Asymptotic Hodge Theory, Soumya Sinha Babu

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Some Problems in Reproducing Kernel Spaces, Christopher Felder

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Truncated Realized Variations of Lévy Models: Optimality, Debiasing, and Implementation Approaches, Yuchen Han

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Weighted Estimates for the Bergman and Szegö Projections, Nathan Andrew Wagner

Theses/Dissertations from 2021

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A Continuous Wavelet Representation for Single and Bi-Parameter Calder\'on-Zygmund Operators, Tyler Williams

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Adaptive Optimal Market Making Strategies with Inventory Liquidation Cost, YI ZHANG

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Identifying armed group presence using Hidden Markov Models, MAURICIO VELA BARON

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Interpolating Matrices, Alberto Dayan

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Market Making in a Limit Order Book: Classical Optimal Control and Reinforcement Learning Approaches, Chuyi Yu

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Measuring the Political Ideology of Social Media Posts, Ryden Butler

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Smooth ICA Under Time Pattern Assumptions, Jiayi Fu

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Weighted Inequalities on Spaces of Homogeneous Type, Naga Manasa Vempati

Theses/Dissertations from 2020

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A Different Approach to Endpoint Weak-type Estimates for Calder̟n-Zygmund Operators, Cody B. Stockdale

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American Option Pricing: From PDE Numerical Solutions to Simulation-Based Methods and Reinforcement Learning., Chenshan Hu

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A Study on Lexicographic Shellable Posets, Tiansi Li

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Bayesian Posterior Inference and LAN for L̩vy Models Under High-frequency Data, Qi Wang

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Bayesian Variable Selection and Post-Selection Inference, Qiyiwen Zhang

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Computation of Knudsen diffusivity in domains with boundary micro-structure, Luis Alberto Garcia German

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Dynamic Portfolio Optimization with a Noisy Observation of the Hidden Economic Regime, Siqi Peng

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Examining the Impact of Police Shooting on Non-Political Civic Engagement over Time, Min Hee Seo

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Operator Noncommutative Function Theory and Partial Matrix and Operator Convexity, Mark E. Mancuso

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Wavelet Coherence Analysis with an Application of Brain Images, Yiqian Fang

Theses/Dissertations from 2019

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A Q-analogue and a Symmetric Function Analogue of a Result by Carlitz, Scoville and Vaughan, Yifei Li

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Commutators and Weak Factorization, Marie Jose Saad Kuffner

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Estimating Controlled Direct Effects through Marginal Structural Models, Silvia Michelle Torres Pacheco

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Index Theory for Toeplitz Operators on Algebraic Spaces, Mohammad Jabbari

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Limits and Singularities of Normal Functions., Tokio Sasaki

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Three Essays on Complex Dependent Data, Wei Wang

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Topics in Complex and Large-scale Data Analysis, Guanshengrui Hao

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Variational Inference for Quantile Rgression, Bufei Guo

Theses/Dissertations from 2018

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Algorithmic Trading with Prior Information, Xinyi Cai

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A Simulation Study of Bipower and Thresholded Realized Variations for High-Frequency Data, Zheng Xu

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Bayesian Classification Methods for Bat Call Identification, Zhongmao Liu

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Carlson's Theorem for Different Measures, Meredith Sargent

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Deep learning analysis of limit order book, xin xu

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Density Estimation Using Nonparametric Bayesian Methods, Yanyi Wang

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Different Estimation Methods for the Basic Independent Component Analysis Model, Zhenyi An

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Distributed Quantile Regression Analysis and a Group Variable Selection Method, Liqun Yu

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Generalized Non-Inferential Approach to Modeling Restricted Discrete Choice for the Case of The Spatial Random Utility, Elena Labzina

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Index Theory for Invariant Elliptic Operators on Manifolds with Proper Cocompact Group Actions, Gong Cheng

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Joint Model for Phase and Amplitude Variation in Functional Data, Tian Wang

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Large-scale Multiple Hypothesis Testing with Complex Data Structure, Xiaoyu Dai

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Nonparametric Estimation of Time Series Volatility Model Estimation, Teng Tu

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Regulators on Higher Chow Groups, Muxi Li

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Statistical Analysis of Short-time Option Prices Based on a Levy Model, Weiliang Wang

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Variable selection via Lasso with high-dimensional proteomic data, Hongxuan Zhai

Theses/Dissertations from 2017

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A Study on Factors Affecting Sleep during Pregnancy in Clinical Trials, Zihan Yan

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Connectivity Bounds and S-Partitions for Triangulated Manifolds, Alexandru Ilarian Papiu

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Market Risk Management for Financial Institutions Based on GARCH Family Models, Qiandi Chen

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Mortgage Transition Model Based on LoanPerformance Data, Shuyao Yang

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On a Portfolio Optimization Problem under GARCH Type Models and Solvency Constraints, Jiachen Wang

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On Post-selection Confidence Intervals in Linear Regression, Xinwei Zhang

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Statistical Analysis of Markovian Queueing Models of Limit Order Books, Yiyao Luo

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Statistical Analysis of the Price Jumps of Financial Assets Based on LOB Data, Ying Zhuang

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Statistical Learning Methods for Facial Recognition, Mengyi Jia

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Statistical Models to Predict Popularity of News Articles on Social Networks, Ziyi Liu

Theses/Dissertations from 2016

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Classification Trees and Rule-Based Modeling Using the C5.0 Algorithm for Self-Image Across Sex and Race in St. Louis, Rohan Shirali

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Examining Cost Functionality and Optimization: A Case Study on Testing the Reasonableness of New Aircraft using Historical Aircraft Data, Katherine Jozefiak

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Explicit bases of motives over number fields with application to Feynman integrals, Yu Yang

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Lead Poisoning in United States Children, Zeren Zhou

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Noncommutative Borsuk-Ulam Theorems, Benjamin Passer

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No-slip Billiards, Christopher Lee Cox

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On the Limiting Behavior of Variations of Hodge Structures, Genival Francisco Fernandes Da Silva Jr.

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Some Results in Higher Weight Hodge Theory, Ryan Keast

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Spot Volatility Estimation of Ito Semimartingales Using Delta Sequences, Weixuan Gao

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Survival Analysis in A Clinical Setting, Yunzhao Liu

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Three Problems in Operator Theory and Complex Analysis, Cheng Chu

Theses/Dissertations from 2015

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Application of Machine Learning to Mapping and Simulating Gene Regulatory Networks, Hien-haw Liow

Diffusion Processes, Metric Graphs and Boundary Value Problems for Reaction Diffusion Systems, Matt Wallace

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Graphs with Eigenvalues of High Multiplicity, Casey Boyett

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Incompatibility of Diophantine Equations Arising from the Strong Factorial Conjecture, Brady Jacob Rocks

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Nonparametric Bayesian Quantile Regression via Dirichlet Process Mixture Models, Chao Chang

Projected Composition Operators on the Dirichlet Space, Patrick Lopatto

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Regularity of the Bergman Projection on Variants of the Hartogs Triangle, Liwei Chen

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Several Complex Variables, Complex Geometry and Their Applications, Bingyuan Liu

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Wavelet Factorization and Related Polynomials, David Meyer

Theses/Dissertations from 2014

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Applications of Nonlinear Optimization, Yao Xie

Cross-sectional MRI Data Analysis Based on Shearlet Transformation, Hao Zhao

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Estimating the Risk of Getting Alzheimer’s Disease by A Two-Stage Model, Tian Wang

Nonlinear Mixed Effect Model for Wavelet-transformed Longitudinal MRI Data in Non-demented and Demented Older Adults, Tianhui Gu

Study of the Mini-Mental State Examinations: Checking Validity, Relationships to Demographical Variables and Alcohol-Related Variables, Chong Bian