#### Theses/Dissertations from 2020

Investigations on models and algorithms in variational approaches for image restoration, Yingying Fang

Solving convex programming with simple convex constraints, Liangshao Hou

Statistical methods for blood pressure prediction, Zijian Huang

Regularized neural networks for semantic image segmentation, Fan Jia

On the construction of uniform designs and the uniformity property of fractional factorial designs, Xiao Ke

Preconditioning techniques for all-at-once linear systems arising from advection diffusion equations, Xuelei Lin

Estimation of individual treatment effect via Gaussian mixture model, Juan Wang

Estimation of the reciprocal of a binomial proportion, Jiajin Wei

On the classification and selection of orthogonal designs, Lin Chen Weng

Deep networks for sign language video caption, Mingjie Zhou

#### Theses/Dissertations from 2019

Nonlinear optimized Schwarz preconditioning for heterogeneous elliptic problems, Yaguang Gu

Statistical methods for Mendelian randomization using GWAS summary data, Xianghong Hu

Mathematical study on plasmon materials and their applications, Hongjie Li

Model checking for general parametric regression models, Lingzhu Li

Some new developments in data transformation and meta-analysis with small number of studies, Enxuan Lin

Numerical algorithms for data clustering, Ye Liu

Determination of random schrödinger operators, Shiqi Ma

Convergence analysis and applications of two optimization algorithms, Yaonan Ma

Stochastic gradient descent for pairwise learning : stability and optimization error, Wei Shen

Order determination for large matrices with spiked structure, Yicheng Zeng

#### Theses/Dissertations from 2018

BIVAS: a scalable Bayesian method for bi-level variable selection, Mingxuan Cai

Intrinsic meshless methods for PDEs on manifolds and applications, Meng Chen

New developments in multiple testing and multivariate testing for high-dimensional data, Zongliang Hu

Kernel-based least-squares approximations: theories and applications, Siqing Li

Statistical methods for integrative analysis of genomic data, Jingsi Ming

Numerical algorithms for data analysis with imaging and financial applications, Ka Wai Siu

Theoretical advances on scattering theory, fractional operators and their inverse problems, Jingni Xiao

Numerical methods for data assimilation in weather forecasting, Hanjun Yan

Spectral collocation methods for the fractional PDEs in unbounded domain, Huifang Yuan

#### Theses/Dissertations from 2017

Bayesian surrogates for functional response modeling and metamaterial rapid design, Xiao Guo

Statistical learning of median in meta-analysis, Dehui Luo

Continuous methods for convex programming and convex semidefinite programming, Xun Qian

Projected adaptive-to-model tests for regression models, Falong Tan

Preconditioners for linear parabolic optimal control problems, Siu Chung Tsang

Model checking for regressions when variables are measured with errors, Chuanlong Xie

Algorithm-tailored error bound conditions and the linear convergence rae of ADMM, Shangzhi Zeng

Application of partial consistency for the semi-parametric models, Jingxin Zhao

The estimation and inference of complex models, Min Zhou

Stochastic control and approximation for Boltzmann equation, Yulong Zhou

Computational methods in air quality data, Zhaochen Zhu

#### Theses/Dissertations from 2016

Numerical algorithms for data processing and analysis, Chuan Chen

Meshless algorithm for partial differential equations on open and singular surfaces, Ka Chun Cheung

Topics in image recovery and image quality assessment /Cui Lei., Lei Cui

Spectral radius and signless Laplacian spectral radius of k-connected graphs /Huang Peng., Peng Huang

Variational image segmentation, inpainting and denoising, Zhi Li

Solving optimization problems with generalized orthogonality constraints, Hong Zhu

#### Theses/Dissertations from 2015

Variational approaches in image recovery and segmentation, Liyuan Chen

High-dimensional covariance matrix estimation with application to Hotelling's tests, Kai Dong

Fractional differential equations for modelling financial processes with jumps, Xu Guo

Regularized models and algorithms for machine learning, Chenyang Shen

Is the precision of computed solutions more closely related with componentwise condition number than normwise condition number?, Don Bing Dong Tan

Numerical study on some inverse problems and optimal control problems, Wenyi Tian

Model-free tests for isotropy, equal distribution and random superposition in spatial point pattern analysis, Ka Yiu Wong

Model-adaptive tests for regressions, Xuehu Zhu

#### Theses/Dissertations from 2014

Different-based methods in nonparametric regression models, Wenlin Dai

Checking the adequacy of regression models with complex data structure, Xu Guo

Some operator splitting methods for convex optimization, Xinxin Li

Optimization based methods for image segmentation and image tone mapping, Motong Qiao

Numerical analysis and simulations for phase-field equations, Jiang Yang

First-order affine scaling continuous method for convex quadratic programming, Hongwei Yue

Local absorbing boundary conditions for Korteweg-de-Vries-type equations, Wei Zhang

#### Theses/Dissertations from 2013

Variable selection in high dimensional semi-varying coefficient models, Chi Chen

Numerical methods for classification and image restoration, Wai Lam Fong

Variable selection and dimension reduction in high-dimensional regression, Tao Wang

Reliable techniques for survey with sensitive question, Qin Wu

Distance two labeling of some products of graphs, Qiong Wu

Distance-two constrained labeling and list-labeling of some graphs, Haiying Zhou

#### Theses/Dissertations from 2012

Estimation and selection in additive and generalized linear models, Zhenghui Feng

Local absorbing boundary conditions for wave propagations, Hongwei Li

Adaptive time-stepping methods for solving the phase field models, Yuan Ma

L1-norm local preserving projection and its application, Chenyang Shen

Interior point based continuous methods for linear programming, Liming Sun

Alternating direction methods for image recovery, Fan Wang

#### Theses/Dissertations from 2011

Topics in Banach space theory, March Tian Boedihardjo

Adaptive moving grid method to two-phase flow problesm, Hao Dong

Data mining methods for single nucleotide polymorphisms analysis in computational biology, Yang Liu

Isotropy test and variance estimation for high order statistics of spatial point process, Tingting Ma

#### Theses/Dissertations from 2010

Numerical methods for solving Markov chain driven Black-Scholes model, Chi Yan Au

Variable selection for high dimensional transformation model, Wai Hong Lee

Computational methods for bioinformatics and image restoration, Haiyong Liao

New econometrics models with applications, Heng Li

The Laplacian eigenvalues of graphs, Jianxi Li

Signal and image deconvolution : algorithms and applications, Chi Pan Tam

Full friendly index sets of Cartesian products of cycles and paths, Fook Sun Wong

#### Theses/Dissertations from 2009

On single-index model and its related topics, Ziqing Chang

Numerical simulations of the steady Euler equations on unstructured grids, Guanghui Hu

Adaptive meshless methods for solving partial differential equations, Ting On Kwok

Super-resolution image reconstruction based on wavelet-estimation : development and theoretical framework, King Tai Leung

Statistical inference for correlated binary data from bilateral studies, Yanbo Pei

Dimension reduction in the regressions through weighted variance estimation, Yani Yang

Local absorbing boundary conditions for some nonlinear PDEs on unbounded domains, Jiwei Zhang

Moving mesh methods for viscoelastic flows with free boundaries, Yubo Zhang

#### Theses/Dissertations from 2008

Statistical histogram characterization and modeling : theory and applications, Siu Kai Choy

Numerical methods for image restoration, Yumei Huang