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作者:Boege, Tobias; Kubjas, Kaie; Misra, Pratik; Solus, Liam
作者单位:UiT The Arctic University of Tromso; Aalto University; State University of New York (SUNY) System; Binghamton University, SUNY; Royal Institute of Technology
摘要:We study submodels of Gaussian directed acyclic graph (DAG) models defined by partial homogeneity constraints imposed on the model error variances and structural coefficients. We represent these models with coloured DAGs and investigate their properties for use in statistical and causal inference. Local and global Markov properties are provided and shown to characterize the coloured DAG model. Additional properties relevant to causal discovery are studied, including the existence and nonexiste...
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作者:Jin, Ying; Ren, Zhimei
作者单位:Harvard University; University of Pennsylvania
摘要:Conformal prediction builds marginally valid prediction intervals that cover the unknown outcome of a randomly drawn test point with a prescribed probability. However, in practice, data-driven methods are often used to identify specific test unit(s) of interest, requiring uncertainty quantification tailored to these focal units. In such cases, marginally valid conformal prediction intervals may fail to provide valid coverage for the focal unit(s) due to selection bias. This article presents a ...
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作者:Zhang, Chenlin; Zhou, Ling; Guo, Bin; Lin, Huazhen
作者单位:Southwestern University of Finance & Economics - China; Southwestern University of Finance & Economics - China
摘要:We develop a Spatial Effect Detection Regression (SEDR) model to capture the nonlinear and irregular effects of high-dimensional spatio-temporal predictors on a scalar outcome. Specifically, we assume that both the component and the coefficient functions in the SEDR are unknown smooth functions of location and time. This allows us to leverage spatially and temporally correlated information, transforming the curse of dimensionality into a blessing, as confirmed by our theoretical and numerical ...
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作者:Shin, Ha-Young; Oh, Hee-Seok
作者单位:Soongsil University; Soongsil University; Seoul National University (SNU)
摘要:We propose a notion of geometric quantiles on Hadamard spaces, or global non-positive curvature spaces. After providing some definitions and basic properties, including scaled isometry equivariance and a necessary condition on the gradient of the quantile loss function, we investigate asymptotic properties, such as strong consistency and joint asymptotic normality. We provide a detailed description of how to compute quantiles using a gradient descent algorithm in hyperbolic space. We detail se...
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作者:Wang, Bingkai; Li, Fan
作者单位:University of Michigan System; University of Michigan; Yale University; Yale University
摘要:Rerandomization is an effective treatment allocation procedure to control for baseline covariate imbalance. For estimating the average treatment effect, rerandomization has been previously shown to improve the precision of the unadjusted and the linearly adjusted estimators over simple randomization without compromising consistency. However, it remains unclear whether such results apply more generally to the class of M-estimators, including the g-computation formula with generalized linear reg...
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作者:Su, Wen; Wu, Qiang; Liu, Kin-Yat; Yin, Guosheng; Huang, Jian; Zhao, Xingqiu
作者单位:City University of Hong Kong; Hong Kong Polytechnic University; Chinese University of Hong Kong; University of Hong Kong
摘要:We propose a novel deep learning approach to nonparametric statistical inference for the conditional hazard function of survival time with right-censored data. We use a deep neural network (DNN) to approximate the logarithm of a conditional hazard function given covariates and obtain a DNN likelihood-based estimator of the conditional hazard function. Such an estimation approach enhances model flexibility and hence relaxes structural and functional assumptions on conditional hazard or survival...
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作者:Maullin-Sapey, Thomas
作者单位:University of Bristol
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作者:Behdin, Kayhan; Loewinger, Gabriel; Kishida, Kenneth T.; Parmigiani, Giovanni; Mazumder, Rahul
作者单位:Massachusetts Institute of Technology (MIT); National Institutes of Health (NIH) - USA; NIH National Institute of Mental Health (NIMH); Wake Forest University; Harvard University; Harvard University Medical Affiliates; Dana-Farber Cancer Institute; Harvard University; Harvard T.H. Chan School of Public Health; Massachusetts Institute of Technology (MIT)
摘要:We consider a problem in multi-task learning (MTL) where multiple linear models are jointly trained on a collection of datasets ('tasks'). A key novelty of our framework is that it allows the sparsity pattern of regression coefficients and the values of non-zero coefficients to differ across tasks while still leveraging partially shared structure. Our methods encourage models to share information across tasks through separately encouraging (1) coefficient supports, and/or (2) nonzero coefficie...
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作者:Lee, Jongmin; Jung, Sungkyu
作者单位:Pusan National University; Seoul National University (SNU); Seoul National University (SNU)
摘要:This article introduces Huber means on Riemannian manifolds, providing a robust alternative to the Fr & eacute;chet mean by integrating elements of both L2 and L1 loss functions. The Huber means are designed to be highly resistant to outliers while maintaining efficiency, making it a valuable generalization of Huber's M-estimator for manifold-valued data. We comprehensively investigate the statistical and computational aspects of Huber means, demonstrating their utility in manifold-valued data...
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作者:Beraha, Mario; Argiento, Raffaele; Camerlenghi, Federico; Guglielmi, Alessandra
作者单位:University of Milano-Bicocca; University of Bergamo; Polytechnic University of Milan
摘要:The study of almost surely discrete random probability measures is an active line of research in Bayesian non-parametrics. The idea of assuming interaction across the atoms of the random probability measure has recently spurred significant interest in the context of Bayesian mixture models. This allows the definition of priors that encourage well-separated and interpretable clusters. In this work, we provide a unified framework for the construction and the Bayesian analysis of random probabili...