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Exclusion and shape restrictions play a central role in defining causal effects and interpreting estimates in potential outcomes models. To date, the testable implications of such restrictions have been studied on a case-by-case basis in a…

Econometrics · Economics 2025-12-25 Hiroaki Kaido , Kirill Ponomarev

Causal graphs may inform covariate adjustment for estimating causal effects and improve estimation efficiency by exploiting the graphical structure. In many applications, however, the target causal parameter may not be point-identified due…

This paper focuses on the Bayesian Network Propensity Score (BNPS), a novel approach for estimating treatment effects in observational studies characterized by unknown (and likely unbalanced) designs and complex dependency structures among…

Pearl's causal hierarchy has garnered sustained attention as a foundational lens for formulating and understanding causal questions, and has been extensively discussed within the framework of structural causal models. In this paper, we…

Other Statistics · Statistics 2026-01-29 Peng Wu , Linbo Wang

Fairness-aware classification models have gained increasing attention in recent years as concerns grow on discrimination against some demographic groups. Most existing models require full knowledge of the sensitive features, which can be…

Machine Learning · Computer Science 2025-05-02 Kaiqi Jiang , Wenzhe Fan , Mao Li , Xinhua Zhang

Fair machine learning (ML) methods help identify and mitigate the risk that algorithms encode or automate social injustices. Algorithmic approaches alone cannot resolve structural inequalities, but they can support socio-technical decision…

Machine Learning · Computer Science 2026-04-24 Michelle Seng Ah Lee , Kirtan Padh , David Watson , Niki Kilbertus , Jatinder Singh

Missing data is a common challenge in studying treatment effects. In the context of mediation analysis, this paper addresses missingness in the mediator and outcome, focusing on identification. We first consider self-separated missingness…

Methodology · Statistics 2026-04-07 Trang Quynh Nguyen , Razieh Nabi , Fan Yang , Grace V. Ringlein , Elizabeth A. Stuart

In variable selection, most existing screening methods focus on marginal effects and ignore dependence between covariates. To improve the performance of selection, we incorporate pairwise effects in covariates for screening and…

Methodology · Statistics 2019-02-12 Siliang Gong , Kai Zhang , Yufeng Liu

External information, such as prior information or expert opinions, can play an important role in the design, analysis and interpretation of clinical trials. However, little attention has been devoted thus far to incorporating external…

Applications · Statistics 2013-04-24 Minge Xie , Regina Y. Liu , C. V. Damaraju , William H. Olson

This paper develops a class of potential outcomes models characterized by three main features: (i) Unobserved heterogeneity can be represented by a vector of potential outcomes and a type describing the manner in which an instrument…

Econometrics · Economics 2023-10-10 Manu Navjeevan , Rodrigo Pinto , Andres Santos

We propose a method that performs anomaly detection and localisation within heterogeneous data using a pairwise undirected mixed graphical model. The data are a mixture of categorical and quantitative variables, and the model is learned…

Machine Learning · Statistics 2016-07-21 Romain Laby , François Roueff , Alexandre Gramfort

We consider an empirical likelihood inference for parameters defined by general estimating equations when some components of the random observations are subject to missingness. As the nature of the estimating equations is wide-ranging, we…

Statistics Theory · Mathematics 2009-03-05 Dong Wang , Song Xi Chen

We describe a framework and an algorithm for solving hybrid influence diagrams with discrete, continuous, and deterministic chance variables, and discrete and continuous decision variables. A continuous chance variable in an influence…

Artificial Intelligence · Computer Science 2012-03-19 Yijing Li , Prakash P. Shenoy

A weakly-supervised learning framework named as complementary-label learning has been proposed recently, where each sample is equipped with a single complementary label that denotes one of the classes the sample does not belong to. However,…

Machine Learning · Statistics 2020-07-24 Yuzhou Cao , Shuqi Liu , Yitian Xu

Observational studies provide invaluable opportunities to draw causal inference, but they may suffer from biases due to pretreatment difference between treated and control units. Matching is a popular approach to reduce observed covariate…

Methodology · Statistics 2025-09-17 Xinran Li

Most existing methods that address out-of-distribution (OOD) generalization for node classification on graphs primarily focus on a specific type of data biases, such as label selection bias or structural bias. However, anticipating the type…

Machine Learning · Computer Science 2023-11-07 Guoxin Chen , Yongqing Wang , Fangda Guo , Qinglang Guo , Jiangli Shao , Huawei Shen , Xueqi Cheng

Causal inference from observational data is crucial for many disciplines such as medicine and economics. However, sharp bounds for causal effects under relaxations of the unconfoundedness assumption (causal sensitivity analysis) are subject…

Machine Learning · Computer Science 2023-10-17 Dennis Frauen , Valentyn Melnychuk , Stefan Feuerriegel

We introduce OpportunityFinder, a code-less framework for performing a variety of causal inference studies with panel data for non-expert users. In its current state, OpportunityFinder only requires users to provide raw observational data…

Machine Learning · Computer Science 2023-09-26 Huy Nguyen , Prince Grover , Devashish Khatwani

Psychiatric and social epidemiology often involves assessing the effects of environmental exposure on outcomes that are difficult to measure directly. To address this problem, it is common to measure outcomes using a comprehensive battery…

Analyzing the geometry of correlation sets constrained by general causal structures is of paramount importance for foundational and quantum technology research. Addressing this task is generally challenging, prompting the development of…

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