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作者:Janson, Lucas
作者单位:Harvard University
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作者:Claeskens, Gerda; Jansen, Maarten; Zhou, Jing
作者单位:KU Leuven; Universite Libre de Bruxelles; Universite Libre de Bruxelles; University of East Anglia; KU Leuven
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作者:Li, Runze; Xu, Kai; Zhou, Yeqing; Zhu, Liping
作者单位:Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park; Anhui Normal University; Tongji University; Renmin University of China; Renmin University of China
摘要:In this article, we test for the effects of high-dimensional covariates on the response. In many applications, different components of covariates usually exhibit various levels of variation, which is ubiquitous in high-dimensional data. To simultaneously accommodate such heteroscedasticity and high dimensionality, we propose a novel test based on an aggregation of the marginal cumulative covariances, requiring no prior information on the specific form of regression models. Our proposed test st...
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作者:Castelletti, Federico; Peluso, Stefano
作者单位:Catholic University of the Sacred Heart; University of Milano-Bicocca
摘要:Gaussian Directed Acyclic Graphs (DAGs) represent a powerful tool for learning the network of dependencies among variables, a task which is of primary interest in many fields and specifically in biology. Different DAGs may encode equivalent conditional independence structures, implying limited ability, with observational data, to identify causal relations. In many contexts however, measurements are collected under heterogeneous settings where variables are subject to exogenous interventions. I...
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作者:Wang, Tianhao; Ratcliffe, Sarah J.; Guo, Wensheng
作者单位:Rush University; University of Virginia; University of Pennsylvania
摘要:In observational studies, the time origin of interest for time-to-event analysis is often unknown, such as the time of disease onset. Existing approaches to estimating the time origins are commonly built on extrapolating a parametric longitudinal model, which rely on rigid assumptions that can lead to biased inferences. In this paper, we introduce a flexible semiparametric curve registration model. It assumes the longitudinal trajectories follow a flexible common shape function with person-spe...
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作者:Wu, Ruijia; Zhang, Linjun; Cai, T. Tony
作者单位:University of Pennsylvania; Rutgers University System; Rutgers University New Brunswick
摘要:Sparse topic modeling under the probabilistic latent semantic indexing (pLSI) model is studied. Novel and computationally fast algorithms for estimation and inference of both the word-topic matrix and the topic-document matrix are proposed and their theoretical properties are investigated. Both minimax upper and lower bounds are established and the results show that the proposed algorithms are rate-optimal, up to a logarithmic factor. Moreover, a refitting algorithm is proposed to establish as...
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作者:Duan, Leo L.
作者单位:State University System of Florida; University of Florida
摘要:In Bayesian applications, there is a huge interest in rapid and accurate estimation of the posterior distribution, particularly for high dimensional or hierarchical models. In this article, we propose to use optimization to solve for a joint distribution (random transport plan) between two random variables, theta from the posterior distribution and beta from the simple multivariate uniform. Specifically, we obtain an approximate estimate of the conditional distribution Pi(beta vertical bar the...
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作者:Zhou, Xingyu; Jiao, Yuling; Liu, Jin; Huang, Jian
作者单位:University of Iowa; Wuhan University; National University of Singapore
摘要:We propose a deep generative approach to sampling from a conditional distribution based on a unified formulation of conditional distribution and generalized nonparametric regression function using the noise-outsourcing lemma. The proposed approach aims at learning a conditional generator, so that a random sample from the target conditional distribution can be obtained by transforming a sample drawn from a reference distribution. The conditional generator is estimated nonparametrically with neu...