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Conditional independence (CI) testing is frequently used in data analysis and machine learning for various scientific fields and it forms the basis of constraint-based causal discovery. Oftentimes, CI testing relies on strong, rather…

统计方法学 · 统计学 2023-06-21 Wiebke Günther , Urmi Ninad , jonas Wahl , Jakob Runge

Conformal field theory (CFT) is an extremely powerful tool for explicitly computing critical exponents and correlation functions of statistical mechanics systems at a second order phase transition, or of condensed matter systems at a…

数学物理 · 物理学 2021-02-23 Alessandro Giuliani

Detecting conditional independencies plays a key role in several statistical and machine learning tasks, especially in causal discovery algorithms. In this study, we introduce LCIT (Latent representation based Conditional Independence…

机器学习 · 计算机科学 2022-09-07 Bao Duong , Thin Nguyen

The rapid finding of effective therapeutics requires the efficient use of available resources in clinical trials. The use of covariate adjustment can yield statistical estimates with improved precision, resulting in a reduction in the…

统计方法学 · 统计学 2021-09-10 Nicholas Williams , Michael Rosenblum , Iván Díaz

This study demonstrates the existence of a testable condition for the identification of the causal effect of a treatment on an outcome in observational data, which relies on two sets of variables: observed covariates to be controlled for…

计量经济学 · 经济学 2026-05-20 Martin Huber , Jannis Kueck

Measurements of systems taken along a continuous functional dimension, such as time or space, are ubiquitous in many fields, from the physical and biological sciences to economics and engineering.Such measurements can be viewed as…

In this paper we introduce a new measure of conditional dependence between two random vectors ${\boldsymbol X}$ and ${\boldsymbol Y}$ given another random vector $\boldsymbol Z$ using the ball divergence. Our measure characterizes…

统计理论 · 数学 2024-08-01 Bilol Banerjee , Bhaswar B. Bhattacharya , Anil K. Ghosh

Cluster randomized trials (CRTs) frequently recruit a small number of clusters, therefore necessitating the application of small-sample corrections for valid inference. A recent systematic review indicated that CRTs reporting…

统计方法学 · 统计学 2022-09-07 Xueqi Wang , Elizabeth L. Turner , Fan Li

Randomized controlled trials (RCTs) are the gold standard for evaluating causal effects but are often costly and difficult to scale; consequently, they are frequently augmented with auxiliary external controls in many applications. Prior…

统计方法学 · 统计学 2026-05-28 Jiawei Shan , Yiteng Tu , Guanbo Wang , Chao Ying , Jiwei Zhao

Permutation tests are widely recognized as robust alternatives to tests based on normal theory. Random permutation tests have been frequently employed to assess the significance of variables in linear models. Despite their widespread use,…

统计方法学 · 统计学 2023-12-29 Leying Guan

Independence screening is a powerful method for variable selection for `Big Data' when the number of variables is massive. Commonly used independence screening methods are based on marginal correlations or variations of it. In many…

统计理论 · 数学 2012-11-02 Emre Barut , Jianqing Fan , Anneleen Verhasselt

The micro-randomized trial (MRT) is a sequential randomized experimental design to empirically evaluate the effectiveness of mobile health (mHealth) intervention components that may be delivered at hundreds or thousands of decision points.…

统计方法学 · 统计学 2021-12-14 Jieru Shi , Zhenke Wu , Walter Dempsey

Two key tasks in high-dimensional regularized regression are tuning the regularization strength for accurate predictions and estimating the out-of-sample risk. It is known that the standard approach -- $k$-fold cross-validation -- is…

统计理论 · 数学 2025-10-24 Kevin Luo , Yufan Li , Pragya Sur

Covariate-adaptive randomization (CAR) procedures are frequently used in comparative studies to increase the covariate balance across treatment groups. However, because randomization inevitably uses the covariate information when forming…

统计理论 · 数学 2022-07-08 Wei Ma , Yichen Qin , Yang Li , Feifang Hu

Estimating heterogeneous treatment effects is important to tailor treatments to those individuals who would most likely benefit. However, conditional average treatment effect predictors may often be trained on one population but possibly…

机器学习 · 计算机科学 2024-10-18 Christoph Kern , Michael Kim , Angela Zhou

Many epidemiological and clinical studies aim at analyzing a time-to-event endpoint. A common complication is right censoring. In some cases, it arises because subjects are still surviving after the study terminates or move out of the study…

统计方法学 · 统计学 2024-01-10 Andrew Ying

In cluster-randomized trials (CRTs), there is emerging interest in exploring the causal mechanism in which a cluster-level treatment affects the outcome through an intermediate outcome. The majority of existing causal mediation methods are…

统计方法学 · 统计学 2026-01-12 Chao Cheng , Fan Li

In comparative studies, such as in causal inference and clinical trials, balancing important covariates is often one of the most important concerns for both efficient and credible comparison. However, chance imbalance still exists in many…

统计方法学 · 统计学 2018-07-30 Yichen Qin , Yang Li , Wei Ma , Feifang Hu

Non-proportional hazards data are routinely encountered in randomized clinical trials. In such cases, classic Cox proportional hazards model can suffer from severe power loss, with difficulty in interpretation of the estimated hazard ratio…

统计方法学 · 统计学 2023-12-29 Hong Zhang , Qing Li , Devan V. Mehrotra , Judong Shen

A standard assumption for causal inference about the joint effects of time-varying treatment is that one has measured sufficient covariates to ensure that within covariate strata, subjects are exchangeable across observed treatment values,…

统计方法学 · 统计学 2022-08-04 Andrew Ying , Wang Miao , Xu Shi , Eric J. Tchetgen Tchetgen