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Continuous treatments have posed a significant challenge for causal inference, both in the formulation and identification of scientifically meaningful effects and in their robust estimation. Traditionally, focus has been placed on…

Methodology · Statistics 2022-06-29 Nima S. Hejazi , David Benkeser , Iván Díaz , Mark J. van der Laan

Clinical researchers often select among and evaluate risk prediction models using standard machine learning metrics based on confusion matrices. However, if these models are used to allocate interventions to patients, standard metrics…

Machine Learning · Statistics 2020-06-03 Alejandro Schuler , Aashish Bhardwaj , Vincent Liu

Score-based diffusion models provide a powerful way to model images using the gradient of the data distribution. Leveraging the learned score function as a prior, here we introduce a way to sample data from a conditional distribution given…

Image and Video Processing · Electrical Eng. & Systems 2022-07-19 Hyungjin Chung , Jong Chul Ye

Inference for the parameters indexing generalised linear models is routinely based on the assumption that the model is correct and a priori specified. This is unsatisfactory because the chosen model is usually the result of a data-adaptive…

Methodology · Statistics 2020-06-16 Stijn Vansteelandt , Oliver Dukes

To answer questions of "causes of effects", the probability of necessity is introduced for assessing whether or not an observed outcome was caused by an earlier treatment. However, the statistical inference for probability of necessity is…

Methodology · Statistics 2025-04-14 Ping Zhang , Ruoyu Wang , Wang Miao

Principal stratification is a popular framework for causal inference in the presence of an intermediate outcome. While the principal average treatment effects are the standard target of inference, they may be insufficient when interest lies…

Methodology · Statistics 2025-12-29 Xinyuan Chen , Fan Li

The two-stage process of propensity score analysis (PSA) includes a design stage where propensity scores are estimated and implemented to approximate a randomized experiment and an analysis stage where treatment effects are estimated…

Methodology · Statistics 2019-07-16 Shirley Liao , Corwin Zigler

We study estimation and inference for heterogeneous principal causal effects with binary treatments and binary intermediate variables. Principal causal effects are subgroup effects within strata defined by potential values of an…

Methodology · Statistics 2026-03-11 Rui Zhang , Charles R. Doss , Jared D. Huling

This paper clarifies a fundamental difference between causal inference and traditional statistical inference by formalizing a mathematical distinction between their respective parameters. We connect two major approaches to causal inference,…

Methodology · Statistics 2025-08-29 Muye Liu , Jun Xie

In longitudinal studies where units are embedded in space or a social network, interference may arise, meaning that a unit's outcome can depend on treatment histories of others. The presence of interference poses significant challenges for…

Methodology · Statistics 2025-08-26 Ye Wang , Michael Jetsupphasuk

We characterise the unbiasedness of the score function, viewed as an inference function for a class of finite mixture models. The models studied represent the situation where there is a stratification of the observations in a finite number…

Statistics Theory · Mathematics 2023-05-16 Rodrigo Labouriau

In causal inference, properly selecting the propensity score (PS) model is an important topic and has been widely investigated in observational studies. There is also a large literature focusing on the missing data problem. However, there…

Methodology · Statistics 2024-12-16 Yuliang Shi , Yeying Zhu , Joel A. Dubin

This paper serves as a starting point for machine learning researchers, engineers and students who are interested in but not yet familiar with causal inference. We start by laying out an important set of assumptions that are collectively…

Machine Learning · Computer Science 2024-08-28 Daniel Jiwoong Im , Kyunghyun Cho

We present new results on average causal effects in settings with unmeasured exposure-outcome confounding. Our results are motivated by a class of estimands, e.g., frequently of interest in medicine and public health, that are currently not…

Methodology · Statistics 2023-12-25 Lan Wen , Aaron L. Sarvet , Mats J. Stensrud

The paper is concerned with inference for a parameter of interest in models that share a common interpretation for that parameter but that may differ appreciably in other respects. We study the general structure of models under which the…

Statistics Theory · Mathematics 2024-08-06 Heather Battey , Nancy Reid

This paper studies nonparametric series estimation and inference for the effect of a single variable of interest x on an outcome y in the presence of potentially high-dimensional conditioning variables z. The context is an additively…

Statistics Theory · Mathematics 2020-04-07 Damian Kozbur

A key challenge in causal inference from observational studies is the identification and estimation of causal effects in the presence of unmeasured confounding. In this paper, we introduce a novel approach for causal inference that…

Methodology · Statistics 2022-10-17 Ying Zhou , Dingke Tang , Dehan Kong , Linbo Wang

This paper deals with the problem of evaluating the causal effect using observational data in the presence of an unobserved exposure/ outcome variable, when cause-effect relationships between variables can be described as a directed acyclic…

Methodology · Statistics 2012-06-18 Manabu Kuroki , Zhihong Cai

Survival outcomes are common in comparative effectiveness studies and require unique handling because they are usually incompletely observed due to right-censoring. A ``once for all'' approach for causal inference with survival outcomes…

Methodology · Statistics 2021-12-21 Shuxi Zeng , Fan Li , Liangyuan Hu , Fan Li

This paper proposes new nonparametric diagnostic tools to assess the asymptotic validity of different treatment effects estimators that rely on the correct specification of the propensity score. We derive a particular restriction relating…

Methodology · Statistics 2019-02-11 Pedro H. C. Sant'Anna , Xiaojun Song