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Kernel-based testing has revolutionized the field of non-parametric tests through the embedding of distributions in an RKHS. This strategy has proven to be powerful and flexible, yet its applicability has been limited to the standard…

统计方法学 · 统计学 2024-11-28 Anthony Ozier-Lafontaine , Polina Arsenteva , Franck Picard , Bertrand Michel

We propose a kernel-based nonparametric estimator for the causal effect when the cause is corrupted by error. We do so by generalizing estimation in the instrumental variable setting. Despite significant work on regression with measurement…

机器学习 · 计算机科学 2022-06-22 Yuchen Zhu , Limor Gultchin , Arthur Gretton , Matt Kusner , Ricardo Silva

When a new treatment is considered for use, whether a pharmaceutical drug or a search engine ranking algorithm, a typical question that arises is, will its performance exceed that of the current treatment? The conventional way to answer…

机器学习 · 计算机科学 2016-10-27 Nir Rosenfeld , Yishay Mansour , Elad Yom-Tov

Testing the equality of two conditional distributions is crucial in various modern applications, including transfer learning and causal inference. Despite its importance, this fundamental problem has received surprisingly little attention…

统计方法学 · 统计学 2025-09-04 Jian Yan , Zhuoxi Li , Xianyang Zhang

We propose a nonparametric two-sample test procedure based on Maximum Mean Discrepancy (MMD) for testing the hypothesis that two samples of functions have the same underlying distribution, using kernels defined on function spaces. This…

统计理论 · 数学 2020-10-20 George Wynne , Andrew B. Duncan

A kernel based procedure for correcting experimental data for distortions due to the finite resolution and limited detector acceptance is presented. The unfolding problem is known to be an ill-posed problem that can not be solved without…

数据分析、统计与概率 · 物理学 2012-09-19 N. D. Gagunashvili , M. Schmelling

In the last decade, machine learning techniques have gained popularity for estimating causal effects. One machine learning approach that can be used for estimating an average treatment effect is Double/debiased machine learning (DML)…

计量经济学 · 经济学 2025-01-17 Daniele Ballinari , Nora Bearth

The primary outcome of Randomized clinical Trials (RCTs) are typically dichotomous, continuous, multivariate continuous, or time-to-event. However, what if this outcome is unstructured, e.g., a list of variables of mixed types, longitudinal…

Recent work has focused on nonparametric estimation of conditional treatment effects, but inference has remained relatively unexplored. We propose a class of nonparametric tests for both quantitative and qualitative treatment effect…

统计方法学 · 统计学 2026-04-07 Oliver Dukes , Mats J. Stensrud , Riccardo Brioschi , Aaron Hudson

We propose a framework to construct practical kernel-based two-sample tests from the family of $f$-divergences. The test statistic is computed from the witness function of a regularized variational representation of the divergence, which we…

机器学习 · 统计学 2026-01-28 Mónica Ribero , Antonin Schrab , Arthur Gretton

Evaluating treatment effect heterogeneity widely informs treatment decision making. At the moment, much emphasis is placed on the estimation of the conditional average treatment effect via flexible machine learning algorithms. While these…

统计方法学 · 统计学 2021-05-07 Lihua Lei , Emmanuel J. Candès

In a comprehensive cohort study of two competing treatments (say, A and B), clinically eligible individuals are first asked to enroll in a randomized trial and, if they refuse, are then asked to enroll in a parallel observational study in…

统计方法学 · 统计学 2019-10-09 Yi Lu , Daniel O. Scharfstein , Maria M. Brooks , Kevin Quach , Edward H. Kennedy

Leveraging external controls -- relevant individual patient data under control from external trials or real-world data -- has the potential to reduce the cost of randomized controlled trials (RCTs) while increasing the proportion of trial…

统计方法学 · 统计学 2022-07-13 Yanyao Yi , Ying Zhang , Yu Du , Ting Ye

In recent years, transfer learning has garnered significant attention. Its ability to leverage knowledge from related studies to improve generalization performance in a target study has made it highly appealing. This paper focuses on…

机器学习 · 统计学 2025-10-30 Chao Wang , Caixing Wang , Xin He , Xingdong Feng

Kernel-based tests provide a simple yet effective framework that use the theory of reproducing kernel Hilbert spaces to design non-parametric testing procedures. In this paper we propose new theoretical tools that can be used to study the…

统计理论 · 数学 2022-09-02 Tamara Fernández , Nicolás Rivera

I introduce a general, Fisher-style randomization testing framework to conduct nearly exact inference about the lack of effect of a binary treatment in the presence of very few, large clusters when the treatment effect is identified across…

统计方法学 · 统计学 2019-04-26 Andreas Hagemann

This paper develops methods for uncertainty quantification in causal inference settings with random network interference. We study the large-sample distributional properties of the classical difference-in-means Hajek treatment effect…

统计方法学 · 统计学 2025-11-11 Matias D. Cattaneo , Yihan He , Ruiqi Rae Yu

Concerns have been expressed over the validity of statistical inference under covariate-adaptive randomization despite the extensive use in clinical trials. In the literature, the inferential properties under covariate-adaptive…

统计方法学 · 统计学 2022-07-05 Li Yang , Wei Ma , Yichen Qin , Feifang Hu

In this paper we propose a Multiple kernel testing procedure to infer survival data when several factors (e.g. different treatment groups, gender, medical history) and their interaction are of interest simultaneously. Our method is able to…

统计方法学 · 统计学 2022-06-16 Marc Ditzhaus , Tamara Fernández , Nicolás Rivera

Bayesian approaches have become increasingly popular in causal inference problems due to their conceptual simplicity, excellent performance and in-built uncertainty quantification ('posterior credible sets'). We investigate Bayesian…

机器学习 · 统计学 2019-09-27 Kolyan Ray , Botond Szabo