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This paper addresses the problem of measurement errors in causal inference and highlights several algebraic and graphical methods for eliminating systematic bias induced by such errors. In particulars, the paper discusses the control of…

Methodology · Statistics 2012-03-19 Judea Pearl

A fundamental task in science is to determine the underlying causal relations because it is the knowledge of this functional structure what leads to the correct interpretation of an effect given the apparent associations in the observed…

Artificial Intelligence · Computer Science 2024-08-02 Alexandre Trilla , Nenad Mijatovic

Understanding the laws that govern a phenomenon is the core of scientific progress. This is especially true when the goal is to model the interplay between different aspects in a causal fashion. Indeed, causal inference itself is…

Artificial Intelligence · Computer Science 2025-08-27 Alessio Zanga , Elif Ozkirimli , Fabio Stella

Reasoning based on causality, instead of association has been considered as a key ingredient towards real machine intelligence. However, it is a challenging task to infer causal relationship/structure among variables. In recent years, an…

Machine Learning · Computer Science 2019-09-15 Zhitang Chen , Shengyu Zhu , Yue Liu , Tim Tse

Recovery of the causal structure of dynamic networks from noisy measurements has long been a problem of interest across many areas of science and engineering. Many algorithms have been proposed, but there is little work that compares the…

Information Theory · Computer Science 2025-06-10 Xiaohan Kang , Bruce Hajek

Nonignorable missingness and noncompliance can occur even in well-designed randomized experiments making the intervention effect that the experiment was designed to estimate nonidentifiable. Nonparametric causal bounds provide a way to…

Statistics Theory · Mathematics 2020-10-13 Erin E. Gabriel , Arvid Sjölander , Michael C. Sachs

Causal inference often hinges on strong assumptions - such as no unmeasured confounding or perfect compliance - that are rarely satisfied in practice. Partial identification offers a principled alternative: instead of relying on…

Machine Learning · Computer Science 2025-08-20 Tobias Maringgele

Inferring causal effects of a treatment, intervention or policy from observational data is central to many applications. However, state-of-the-art methods for causal inference seldom consider the possibility that covariates have missing…

Methodology · Statistics 2020-02-26 Imke Mayer , Julie Josse , Félix Raimundo , Jean-Philippe Vert

Probabilities of causation are fundamental to individual-level explanation and decision making, yet they are inherently counterfactual and not point-identifiable from data in general. Existing bounds either disregard available covariates,…

Artificial Intelligence · Computer Science 2026-02-17 Yuxuan Xie , Ang Li

The assumption of independence between observations (units) in a dataset is prevalent across various methodologies for learning causal graphical models. However, this assumption often finds itself in conflict with real-world data, posing…

Machine Learning · Computer Science 2024-12-31 Alex Chen , Qing Zhou

The paper addresses the problem of finding the causal direction between two associated variables. The proposed solution is to build an autoencoder of their joint distribution and to maximize its estimation capacity relative to both the…

Machine Learning · Statistics 2022-12-09 Matthias Feiler

The laws of quantum mechanics place fundamental limits on the accuracy of measurements and therefore on the estimation of unknown parameters of a quantum system. In this work, we prove lower bounds on the size of confidence regions reported…

Quantum Physics · Physics 2014-12-23 Michael Walter , Joseph M. Renes

Causal effect estimation from observational data is a crucial but challenging task. Currently, only a limited number of data-driven causal effect estimation methods are available. These methods either provide only a bound estimation of the…

Methodology · Statistics 2020-11-10 Debo Cheng , Jiuyong Li , Lin Liu , Kui Yu , Thuc Duy Lee , Jixue Liu

Missing data are ubiquitous in many domains including healthcare. When these data entries are not missing completely at random, the (conditional) independence relations in the observed data may be different from those in the complete data…

Machine Learning · Computer Science 2020-07-14 Ruibo Tu , Kun Zhang , Paul Ackermann , Bo Christer Bertilson , Clark Glymour , Hedvig Kjellström , Cheng Zhang

This paper introduces a kernel discrepancy-based framework for rerandomization to enhance the precision of causal inference in controlled experiments. We demonstrate that the kernel discrepancy is the key part of the variance upper bound…

Methodology · Statistics 2025-11-05 Yiou Li , Lulu Kang

Scientific practice typically involves repeatedly studying a system, each time trying to unravel a different perspective. In each study, the scientist may take measurements under different experimental conditions (interventions,…

Machine Learning · Statistics 2014-03-11 Sofia Triantafillou , Ioannis Tsamardinos

Many algorithms have been recently proposed for causal machine learning. Yet, there is little to no theory on their quality, especially considering finite samples. In this work, we propose a theory based on generalization bounds that…

Machine Learning · Statistics 2024-05-16 Daniel Csillag , Claudio José Struchiner , Guilherme Tegoni Goedert

In observational studies, the causal effect of a treatment may be confounded with variables that are related to both the treatment and the outcome of interest. In order to identify a causal effect, such studies often rely on the…

Methodology · Statistics 2017-10-17 Emma Persson , Jenny Häggström , Ingeborg Waernbaum , Xavier de Luna

Estimating causal effects from observational data is not always possible due to confounding. Identifying a set of appropriate covariates (adjustment set) and adjusting for their influence can remove confounding bias; however, such a set is…

Methodology · Statistics 2020-11-19 Sofia Triantafillou , Gregory Cooper

Going beyond correlations, the understanding and identification of causal relationships in observational time series, an important subfield of Causal Discovery, poses a major challenge. The lack of access to a well-defined ground truth for…

Machine Learning · Statistics 2021-04-19 Andrew R. Lawrence , Marcus Kaiser , Rui Sampaio , Maksim Sipos