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Functional Integrative Bayesian Analysis of High-Dimensional Multiplatform Clinicogenomic Data

高维多平台临床基因组数据的功能整合贝叶斯分析

Rapid advancements in collection and dissemination of multi-platform molecular and genomics data has resulted in enormous opportunities to aggregate such data in order to understand, prevent, and treat human diseases. While significant improvements have been made in multi-omic data integration methods to discover biological markers and mechanisms underlying both prognosis and treatment, the precise cellular functions governing these complex mechanisms still need detailed and…

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Bayesian Edge Regression in Undirected Graphical Models to Characterize Interpatient Heterogeneity in Cancer

无向图模型中的贝叶斯边回归:刻画癌症患者间异质性

It is well-established that interpatient heterogeneity in cancer may significantly affect genomic data analyses and in particular, network topologies. Most existing graphical model methods estimate a single population-level graph for genomic or proteomic network. In many investigations, these networks depend on patient-specific indicators that characterize the heterogeneity of individual networks across subjects with respect to subject-level covariates. Examples include…

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Bayesian Structure Learning in Multilayered Genomic Networks

多层基因组网络中的贝叶斯结构学习

Integrative network modeling of data arising from multiple genomic platforms provides insight into the holistic picture of the interactive system, as well as the flow of information across many disease domains including cancer. The basic data structure consists of a sequence of hierarchically ordered datasets for each individual subject, which facilitates integration of diverse inputs, such as genomic, transcriptomic, and proteomic data. A primary analytical task in such…

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Quantile Function on Scalar Regression Analysis for Distributional Data

分布型数据的分位数函数对标量回归分析

Radiomics involves the study of tumor images to identify quantitative markers explaining cancer heterogeneity. The predominant approach is to extract hundreds to thousands of image features, including histogram features comprised of summaries of the marginal distribution of pixel intensities, which leads to multiple testing problems and can miss out on insights not contained in the selected features. In this paper, we present methods to model the entire marginal distribution…

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Bayesian Semiparametric Functional Mixed Models for Serially Correlated Functional Data, With Application to Glaucoma Data

序列相关函数数据的贝叶斯半参数函数混合模型:青光眼数据应用

Glaucoma, a leading cause of blindness, is characterized by optic nerve damage related to intraocular pressure (IOP), but its full etiology is unknown. Researchers at UAB have devised a custom device to measure scleral strain continuously around the eye under fixed levels of IOP, which here is used to assess how strain varies around the posterior pole, with IOP, and across glaucoma risk factors such as age. The hypothesis is that scleral strain decreases with age, which…

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Bayesian Hierarchical Varying-Sparsity Regression Models with Application to Cancer Proteogenomics

贝叶斯层级变稀疏回归及癌症蛋白基因组学应用

Identifying patient-specific prognostic biomarkers is of critical importance in developing personalized treatment for clinically and molecularly heterogeneous diseases such as cancer. In this article, we propose a novel regression framework, Bayesian hierarchical varying-sparsity regression (BEHAVIOR) models to select clinically relevant disease markers by integrating proteogenomic (proteomic+genomic) and clinical data. Our methods allow flexible modeling of protein–gene…

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Bayesian Graphical Regression

贝叶斯图回归

We consider the problem of modeling conditional independence structures in heterogeneous data in the presence of additional subject-level covariates - termed Graphical Regression. We propose a novel specification of a conditional (in)dependence function of covariates - which allows the structure of a directed graph to vary flexibly with the covariates; imposes sparsity in both edge and covariate selection; produces both subject-specific and predictive graphs; and is…

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Statistical Tests for Large Tree-Structured Data

大型树结构数据的统计检验

We develop a general statistical framework for the analysis and inference of large tree-structured data, with a focus on developing asymptotic goodness-of-fit tests. We first propose a consistent statistical model for binary trees, from which we develop a class of invariant tests. Using the model for binary trees, we then construct tests for general trees by using the distributional properties of the continuum random tree, which arises as the invariant limit for a broad…

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Sparse Multi-Dimensional Graphical Models: A Unified Bayesian Framework

稀疏多维图模型的统一贝叶斯框架

Yang Niab, Francesco C. Stingoac* & Veerabhadran Baladandayuthapaniaa Department of Biostatistics, The University of Texas MD Anderson Cancer Center, Houston, TXb Department of Statistics and Data Sciences, The University of Texas at Austin, Austin, TXc Dipartimento di Statistica, Informatica, Applicazioni “G.Parenti,” University of Florence, Florence, ItalyCONTACT Francesco C. Stingo fstingo@mdanderson.org Dipartimento di Statistica, Informatica, Applicazioni “G.Parenti,”…

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Functional CAR Models for Large Spatially Correlated Functional Datasets

大型空间相关函数型数据的函数型条件自回归模型

We develop a functional conditional autoregressive (CAR) model for spatially correlated data for which functions are collected on areal units of a lattice. Our model performs functional response regression while accounting for spatial correlations with potentially nonseparable and nonstationary covariance structure, in both the space and functional domains. We show theoretically that our construction leads to a CAR model at each functional location, with spatial covariance…

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A Two-Sample Test for Equality of Means in High Dimension

高维均值相等的两样本检验

We develop a test statistic for testing the equality of two population mean vectors in the “large-p-small-n” setting. Such a test must surmount the rank-deficiency of the sample covariance matrix, which breaks down the classic Hotelling T2 test. The proposed procedure, called the generalized component test, avoids full estimation of the covariance matrix by assuming that the p components admit a logical ordering such that the dependence between components is related to their…

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Bayesian Random Segmentation Models to Identify Shared Copy Number Aberrations for Array CGH Data

识别阵列 CGH 数据共享拷贝数异常的贝叶斯随机分段模型

Array-based comparative genomic hybridization (aCGH) is a high-resolution high-throughput technique for studying the genetic basis of cancer. The resulting data consists of log fluorescence ratios as a function of the genomic DNA location and provides a cytogenetic representation of the relative DNA copy number variation. Analysis of such data typically involves estimation of the underlying copy number state at each location and segmenting regions of DNA with similar copy…

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Reduced Rank Mixed Effects Models for Spatially Correlated Hierarchical Functional Data

空间相关层级函数数据的降秩混合效应模型

Hierarchical functional data are widely seen in complex studies where sub-units are nested within units, which in turn are nested within treatment groups. We propose a general framework of functional mixed effects model for such data: within unit and within sub-unit variations are modeled through two separate sets of principal components; the sub-unit level functions are allowed to be correlated. Penalized splines are used to model both the mean functions and the principal…

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