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Using Dirichlet Process Priors For Bayesian Mixture Clustering, Xiao Huang
Using Dirichlet Process Priors For Bayesian Mixture Clustering, Xiao Huang
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We describe a non-parametric Bayesian model using genotype data to classify individuals among populations where the total number of populations is unknown. The model assumes that a population is characterized by a set of allele frequencies that follow multinomial distributions. The Dirichlet Process is applied as the prior distribution. The method estimates the number of populations together with the allele frequencies and the ancestry coefficients of each individual. Distance matrices and bootstrap support numbers based on MCMC runs are generated to create a phylogeny of the ancestral populations.
Computable Performance Analysis Of Recovering Signals With Low-Dimensional Structures, Gongguo Tang
Computable Performance Analysis Of Recovering Signals With Low-Dimensional Structures, Gongguo Tang
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The last decade witnessed the burgeoning development in the reconstruction of signals by exploiting their low-dimensional structures, particularly, the sparsity, the block-sparsity, the low-rankness, and the low-dimensional manifold structures of general nonlinear data sets. The reconstruction performance of these signals relies heavily on the structure of the sensing matrix/operator. In many applications, there is a flexibility to select the optimal sensing matrix among a class of them. A prerequisite for optimal sensing matrix design is the computability of the performance for different recovery algorithms. I present a computational framework for analyzing the recovery performance of signals with low-dimensional structures. I …
Identification Of Genetic And Epigenetic Risk Factors For Psoriasis And Psoratic Arthritis, Ying Liu
Identification Of Genetic And Epigenetic Risk Factors For Psoriasis And Psoratic Arthritis, Ying Liu
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Psoriasis: PS) is a common incurable inflammatory skin disease affecting 2-3% of the European population. ~10-30% of patients develop psoriatic arthritis: PsA). Genetic variation in the major histocompatibility complex: MHC) increases risk of developing PS. However, only ~10% of individuals with this risk factor develop PS, indicating that other genetic effects and environmental triggers are important. In order to identify novel susceptibility genes of PS and PsA, I performed the first large scale genome wide association scan for psoriasis susceptibility loci using 233 cases and 519 controls. It revealed that genes of the immune system and of the barrier are …
Predictive Alternatives In Bayesian Model Selection, Andrew Womack
Predictive Alternatives In Bayesian Model Selection, Andrew Womack
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Model comparison and hypothesis testing is an integral part of all data analyses. In this thesis, I present two new families of information criteria that can be used to perform model comparison. In Chapter 1, I review the necessary background to motivate the thesis. Of particular interest is the role of priors for estimation and model comparison as well as the role that information theory can play in the latter. As we will see, many existing forms of model comparison can be viewed in an information theoretic manner, which motivates defining new families of criteria. In Chapter 2, I present …
Examining The Effectiveness Of Multiple Imputation: A Case Study On Hiv Risk Behaviors In Women Receiving Treatment For Substance Use Disorders, Raphiel Murden
Examining The Effectiveness Of Multiple Imputation: A Case Study On Hiv Risk Behaviors In Women Receiving Treatment For Substance Use Disorders, Raphiel Murden
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Women in the United States are becoming infected with HIV more quickly now than ever before; many of whom are at higher risk because of their substance use habits or that of their partners.: CDC, 2010) This study analyzes cross sectional data regarding the risk behaviors and addiction severity of a sample of women receiving treatment for substance use disorders: SUDs). The data was gathered between 2006 and 2010 at a women's substance use treatment center in St. Louis, Missouri: MO), the name of which cannot be disclosed. We develop a scale, the HIV Risk Scale: HRS), to quantify a …