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作者:Wu, Hulin; Lu, Tao; Xue, Hongqi; Liang, Hua
作者单位:University of Rochester; State University of New York (SUNY) System; University at Albany, SUNY; George Washington University
摘要:The gene regulation network (GRN) is a high-dimensional complex system, which can be represented by various mathematical or statistical models. The ordinary differential equation (ODE) model is one of the popular dynamic GRN models. High-dimensional linear ODE models have been proposed to identify GRNs, but with a limitation of the linear regulation effect assumption. In this article, we propose a sparse additive ODE (SA-ODE) model, coupled with ODE estimation methods and adaptive group least ...
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作者:Huang, Alan
作者单位:University of Technology Sydney
摘要:This article introduces a semiparametric extension of generalized linear models that is based on a full probability model, but does not require specification of an error distribution or variance function for the data. The approach involves treating the error distribution as an infinite-dimensional parameter, which is then estimated simultaneously with the mean-model parameters using a maximum empirical likelihood approach. The resulting estimators are shown to be consistent and jointly asympto...
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作者:Wang, Fangpo; Gelfand, Alan E.
作者单位:Adobe Systems Inc.; Duke University
摘要:Directional data naturally arise in many scientific fields, such as oceanography (wave direction), meteorology (wind direction), and biology (animal movement direction). Our contribution is to develop a fully model-based approach to capture structured spatial dependence for modeling directional data at different spatial locations. We build a projected Gaussian spatial process, induced from an inline bivariate Gaussian spatial process. We discuss the properties of the projected Gaussian process...
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作者:Shao, Xiaofeng; Zhang, Jingsi
作者单位:University of Illinois System; University of Illinois Urbana-Champaign; Northwestern University
摘要:In this article, we propose a new metric, the so-called martingale difference correlation, to measure the departure of conditional mean independence between a scalar response variable V and a vector predictor variable U. Our metric is a natural extension of distance correlation proposed by Szekely, Rizzo, and Bahirov, which is used to measure the dependence between V and U. The martingale difference correlation and its empirical counterpart inherit a number of desirable features of distance co...
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作者:Cook, R. Dennis; Zhang, Xin
作者单位:University of Minnesota System; University of Minnesota Twin Cities
摘要:When studying the regression of a univariate variable Y on a vector x of predictors, most existing sufficient dimension-reduction (SDR) methods require the construction of slices of Y to estimate moments of the conditional distribution of X given Y. But there is no widely accepted method for choosing the number of slices, while a poorly chosen slicing scheme may produce miserable results. We propose a novel and easily implemented fusing method that can mitigate the problem of choosing a slicin...
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作者:Dunson, David B.
作者单位:Duke University
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作者:Fronczyk, Kassandra; Kottas, Athanasios
作者单位:University of Texas System; UTMD Anderson Cancer Center; University of California System; University of California Santa Cruz
摘要:We develop a Bayesian nonparametric mixture modeling framework for replicated count responses in dose-response settings. We explore this methodology for modeling and risk assessment in developmental toxicity studies, where the primary objective is to determine the relationship between the level of exposure to a toxic chemical and the probability of a physiological or biochemical response, or death. Data from these experiments typically involve features that cannot be captured by standard param...
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作者:Gelman, Andrew; Vehtari, Aki
作者单位:Columbia University; Aalto University
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作者:Hao, Ning; Zhang, Hao Helen
作者单位:University of Arizona
摘要:In ultrahigh-dimensional data analysis, it is extremely challenging to identify important interaction effects, and a top concern in practice is computational feasibility. For a dataset with n observations and p predictors, the augmented design matrix including all linear and order-2 terms is of size n x (p(2) + 3p)/2. When p is large, say more than tens of hundreds, the number of interactions is enormous and beyond the capacity of standard machines and software tools for storage and analysis. ...
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作者:Hansen, Ben B.; Rosenbaum, Paul R.; Small, Dylan S.
作者单位:University of Michigan System; University of Michigan; University of Pennsylvania
摘要:Clustered treatment assignment occurs when individuals are grouped into clusters prior to treatment and whole clusters, not individuals, are assigned to treatment or control. In randomized trials, clustered assignments may be required because the treatment must be applied to all children in a classroom, or to all patients at a clinic, or to all radio listeners in the same media market. The most common cluster randomized design pairs 2S clusters into S pairs based on similar pretreatment covari...