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Causal learning is the key to obtaining stable predictions and answering \textit{what if} problems in decision-makings. In causal learning, it is central to seek methods to estimate the average treatment effect (ATE) from observational…

机器学习 · 统计学 2022-12-07 Yiyan Huang , Cheuk Hang Leung , Qi Wu , Xing Yan

In pharmacoepidemiology, safety and effectiveness are frequently evaluated using readily available administrative and electronic health records data. In these settings, detailed confounder data are often not available in all data sources…

In this paper, we consider recent progress in estimating the average treatment effect when extreme inverse probability weights are present and focus on methods that account for a possible violation of the positivity assumption. These…

统计方法学 · 统计学 2022-10-26 Roland A. Matsouaka , Yunji Zhou

Estimating population-level effects of a vaccine is challenging because there may be interference, i.e., the outcome of one individual may depend on the vaccination status of another individual. Partial interference occurs when individuals…

Missing data is unavoidable in longitudinal clinical trials, and outcomes are not always normally distributed. In the presence of outliers or heavy-tailed distributions, the conventional multiple imputation with the mixed model with…

统计方法学 · 统计学 2022-03-22 Siyi Liu , Yilong Zhang , Gregory T Golm , Guanghan , Liu , Shu Yang

Doubly robust estimators with cross-fitting have gained popularity in causal inference due to their favorable structure-agnostic error guarantees. However, when additional structure, such as H\"{o}lder smoothness, is available then more…

统计理论 · 数学 2025-05-08 Alec McClean , Sivaraman Balakrishnan , Edward H. Kennedy , Larry Wasserman

Motivated by recent data analytics applications, we study the adversarial robustness of robust estimators. Instead of assuming that only a fraction of the data points are outliers as considered in the classic robust estimation setup, in…

统计理论 · 数学 2020-04-01 Lifeng Lai , Erhan Bayraktar

The Wasserstein distance, rooted in optimal transport (OT) theory, is a popular discrepancy measure between probability distributions with various applications to statistics and machine learning. Despite their rich structure and…

机器学习 · 统计学 2023-03-02 Sloan Nietert , Rachel Cummings , Ziv Goldfeld

Randomized Controlled Trials (RCTs) may suffer from limited scope. In particular, samples may be unrepresentative: some RCTs over- or under- sample individuals with certain characteristics compared to the target population, for which one…

统计方法学 · 统计学 2024-03-15 Bénédicte Colnet , Julie Josse , Gaël Varoquaux , Erwan Scornet

Randomized controlled trials (RCTs) are widely regarded as the gold standard for causal inference in biomedical research. For instance, when estimating the average treatment effect on the treated (ATT), a doubly robust estimation procedure…

统计方法学 · 统计学 2025-09-26 Chi-Shian Dai , Chao Ying , Yang Ning , Jiwei Zhao

Nonparametric estimators, such as the augmented inverse probability weighted (AIPW) estimator, have become increasingly popular in causal inference. Numerous nonparametric estimators have been proposed, but they are all asymptotically…

统计理论 · 数学 2026-02-17 Hongxiang Qiu

Handling outliers is a fundamental challenge in multivariate data analysis because outliers may distort the structures of correlation or conditional independence. Although robust Bayesian inference has been extensively studied in univariate…

统计方法学 · 统计学 2025-10-27 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

Convex and penalized robust regression methods often suffer from a persistent bias induced by large outliers, limiting their effectiveness in adversarial or heavy-tailed settings. In this work, we study a smooth redescending non-convex…

统计理论 · 数学 2025-12-01 Ilyes Hammouda , Mohamed Ndaoud , Abd-Krim Seghouane

Robust statistics traditionally focuses on outliers, or perturbations in total variation distance. However, a dataset could be corrupted in many other ways, such as systematic measurement errors and missing covariates. We generalize the…

统计理论 · 数学 2020-12-15 Banghua Zhu , Jiantao Jiao , Jacob Steinhardt

Outlier-robust estimation is a fundamental problem and has been extensively investigated by statisticians and practitioners. The last few years have seen a convergence across research fields towards "algorithmic robust statistics", which…

机器学习 · 统计学 2022-12-19 Luca Carlone

The Classical Tukey-Huber Contamination Model (CCM) is a usual framework to describe the mechanism of outliers generation in robust statistics. In a data set with $n$ observations and $p$ variables, under the CCM, an outlier is a unit, even…

统计理论 · 数学 2014-07-15 Claudio Agostinelli , Victor J. Yohai

The growing demand for personalized decision-making has led to a surge of interest in estimating the Conditional Average Treatment Effect (CATE). Various types of CATE estimators have been developed with advancements in machine learning and…

机器学习 · 计算机科学 2024-11-04 Yiyan Huang , Cheuk Hang Leung , Siyi Wang , Yijun Li , Qi Wu

Nonlinear estimation in robotics and vision is typically plagued with outliers due to wrong data association, or to incorrect detections from signal processing and machine learning methods. This paper introduces two unifying formulations…

计算机视觉与模式识别 · 计算机科学 2021-07-05 Pasquale Antonante , Vasileios Tzoumas , Heng Yang , Luca Carlone

A popular approach for comparing gene expression levels between (replicated) conditions of RNA sequencing data relies on counting reads that map to features of interest. Within such count-based methods, many flexible and advanced…

定量方法 · 定量生物学 2014-03-17 Xiaobei Zhou , Helen Lindsay , Mark D. Robinson

Ordinal response model is a popular and commonly used regression for ordered categorical data in a wide range of fields such as medicine and social sciences. However, it is empirically known that the existence of ``outliers'', combinations…

统计方法学 · 统计学 2023-05-15 Tomotaka Momozaki , Tomoyuki Nakagawa