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Two major bottlenecks to the solution of large-scale Bayesian inverse problems are the scaling of posterior sampling algorithms to high-dimensional parameter spaces and the computational cost of forward model evaluations. Yet incomplete or…

统计计算 · 统计学 2016-05-03 Tiangang Cui , Youssef M. Marzouk , Karen E. Willcox

Random-effects meta-analyses of observational studies can produce biased estimates if the synthesized studies are subject to unmeasured confounding. We propose sensitivity analyses quantifying the extent to which unmeasured confounding of…

统计方法学 · 统计学 2017-10-10 Maya B. Mathur , Tyler J. VanderWeele

In modern drug development, the broader availability of high-dimensional observational data provides opportunities for scientist to explore subgroup heterogeneity, especially when randomized clinical trials are unavailable due to cost and…

统计方法学 · 统计学 2021-02-24 Xinzhou Guo , Linqing Wei , Chong Wu , Jingshen Wang

Estimating effects of spatially structured exposures is complicated by unmeasured spatial confounders, which undermine identifiability in spatial linear regression models unless structural assumptions are imposed. We develop a general…

统计方法学 · 统计学 2025-12-30 Anik Burman , Elizabeth L. Ogburn , Abhirup Datta

In observational causal inference, domain knowledge often leaves multiple covariate adjustments plausible, yet which sets satisfy ignorability is untestable. Different adjustment sets can yield conflicting estimates of the average treatment…

统计方法学 · 统计学 2026-03-23 Aditya Ghosh , Dominik Rothenhäusler

This paper develops a sparsity-inducing version of Bayesian Causal Forests, a recently proposed nonparametric causal regression model that employs Bayesian Additive Regression Trees and is specifically designed to estimate heterogeneous…

统计方法学 · 统计学 2021-11-17 Alberto Caron , Gianluca Baio , Ioanna Manolopoulou

This paper develops robust confidence intervals in high-dimensional and left-censored regression. Type-I censored regression models are extremely common in practice, where a competing event makes the variable of interest unobservable.…

统计理论 · 数学 2017-08-16 Jelena Bradic , Jiaqi Guo

This paper develops a new approach to post-selection inference for screening high-dimensional predictors of survival outcomes. Post-selection inference for right-censored outcome data has been investigated in the literature, but much…

统计方法学 · 统计学 2021-12-22 Tzu-Jung Huang , Alex Luedtke , Ian W. McKeague

Recently, interest has grown in the use of proxy variables of unobserved confounding for inferring the causal effect in the presence of unmeasured confounders from observational data. One difficulty inhibiting the practical use is finding…

机器学习 · 计算机科学 2024-05-28 Feng Xie , Zhengming Chen , Shanshan Luo , Wang Miao , Ruichu Cai , Zhi Geng

Causal mediation analysis has been extended to estimate path-specific effects with multiple intermediate variables, isolating treatment effects through a mediator of interest while excluding pathways through its ancestors. Such analyses…

统计方法学 · 统计学 2026-05-12 Yang Bai , Sihan Wu , Baoluo Sun , Yifan Cui

Unmeasured confounding is a key challenge for causal inference. In this paper, we establish a framework for unmeasured confounding adjustment with negative control variables. A negative control outcome is associated with the confounder but…

统计方法学 · 统计学 2024-09-09 Wang Miao , Xu Shi , Yilin Li , Eric Tchetgen Tchetgen

Many statistical $M$-estimators are based on convex optimization problems formed by the combination of a data-dependent loss function with a norm-based regularizer. We analyze the convergence rates of projected gradient and composite…

机器学习 · 统计学 2012-07-26 Alekh Agarwal , Sahand N. Negahban , Martin J. Wainwright

Proxy variables are commonly used in causal inference when unmeasured confounding exists. While most existing proximal methods assume a unidirectional causal relationship between two primary variables, many social and biological systems…

统计方法学 · 统计学 2025-07-21 Jiaqi Min , Xueyue Zhang , Shanshan Luo

Covariance regression offers an effective way to model the large covariance matrix with the auxiliary similarity matrices. In this work, we propose a sparse covariance regression (SCR) approach to handle the potentially high-dimensional…

统计方法学 · 统计学 2024-10-17 Yuan Gao , Zhiyuan Zhang , Zhanrui Cai , Xuening Zhu , Tao Zou , Hansheng Wang

In this work, we propose an approach for assessing sensitivity to unobserved confounding in studies with multiple outcomes. We demonstrate how prior knowledge unique to the multi-outcome setting can be leveraged to strengthen causal…

统计方法学 · 统计学 2023-01-26 Jiajing Zheng , Jiaxi Wu , Alexander D'Amour , Alexander Franks

Detecting and measuring confounding effects from data is a key challenge in causal inference. Existing methods frequently assume causal sufficiency, disregarding the presence of unobserved confounding variables. Causal sufficiency is both…

人工智能 · 计算机科学 2024-09-27 Abbavaram Gowtham Reddy , Vineeth N Balasubramanian

High-dimensional regression and regression with a left-censored response are each well-studied topics. In spite of this, few methods have been proposed which deal with both of these complications simultaneously. The Tobit model -- long the…

统计方法学 · 统计学 2023-03-20 Tate Jacobson , Hui Zou

We study regression discontinuity designs in which many predetermined covariates, possibly much more than the number of observations, can be used to increase the precision of treatment effect estimates. We consider a two-step estimator…

计量经济学 · 经济学 2022-05-06 Alexander Kreiß , Christoph Rothe

Consider the problem of estimating average treatment effects when a large number of covariates are used to adjust for possible confounding through outcome regression and propensity score models. The conventional approach of model building…

统计理论 · 数学 2018-01-31 Zhiqiang Tan

Completely randomized experiment is the gold standard for causal inference. When the covariate information for each experimental candidate is available, one typical way is to include them in covariate adjustments for more accurate treatment…

统计方法学 · 统计学 2025-06-10 Xin Lu , Fan Yang , Yuhao Wang