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A fundamental question in causal inference is whether it is possible to reliably infer manipulation effects from observational data. There are a variety of senses of asymptotic reliability in the statistical literature, among which the most…

Artificial Intelligence · Computer Science 2012-12-12 Jiji Zhang , Peter L. Spirtes

In this thesis, I present several results on quantum statistical inference in the following two directions. Firstly, I demonstrate that quantum algorithms can be applied to enhance the computing and training of Gaussian processes (GPs), a…

Quantum Physics · Physics 2018-12-13 Zhikuan Zhao

Simulation methods are among the most ubiquitous methodological tools in statistical science. In particular, statisticians often is simulation to explore properties of statistical functionals in models for which developed statistical theory…

Methodology · Statistics 2023-08-22 Tyrel Stokes , Ian Shrier , Russell Steele

To draw scientifically meaningful conclusions and build reliable models of quantitative phenomena, cause and effect must be taken into consideration (either implicitly or explicitly). This is particularly challenging when the measurements…

Machine Learning · Computer Science 2020-12-11 Max A. Little , Reham Badawy

Proximal causal inference was recently proposed as a framework to identify causal effects from observational data in the presence of hidden confounders for which proxies are available. In this paper, we extend the proximal causal inference…

Statistics Theory · Mathematics 2023-01-27 AmirEmad Ghassami , Alan Yang , Ilya Shpitser , Eric Tchetgen Tchetgen

The identifiability problem for interventions aims at assessing whether the total effect of some given interventions can be written with a do-free formula, and thus be computed from observational data only. We study this problem,…

Statistics Theory · Mathematics 2025-06-19 Clément Yvernes , Charles K. Assaad , Emilie Devijver , Eric Gaussier

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

Causal effect identification typically requires a fully specified causal graph, which can be difficult to obtain in practice. We provide a sufficient criterion for identifying causal effects from a candidate set of Markov equivalence…

Methodology · Statistics 2025-06-19 Kai Z. Teh , Kayvan Sadeghi , Terry Soo

There is growing interest in the study of causal methods in the Earth sciences. However, most applications have focused on causal discovery, i.e. inferring the causal relationships and causal structure from data. This paper instead examines…

Atmospheric and Oceanic Physics · Physics 2021-05-04 Adam Massmann , Pierre Gentine , Jakob Runge

In this paper we review important aspects of semiparametric theory and empirical processes that arise in causal inference problems. We begin with a brief introduction to the general problem of causal inference, and go on to discuss…

Statistics Theory · Mathematics 2016-07-25 Edward H. Kennedy

Many research questions concern treatment effects on outcomes that can recur several times in the same individual. For example, medical researchers are interested in treatment effects on hospitalizations in heart failure patients and sports…

Methodology · Statistics 2024-12-31 Matias Janvin , Jessica G. Young , Pål C. Ryalen , Mats J. Stensrud

Causal inference is fundamental to empirical scientific discoveries in natural and social sciences; however, in the process of conducting causal inference, data management problems can lead to false discoveries. Two such problems are (i)…

Databases · Computer Science 2023-05-16 Brit Youngmann , Michael Cafarella , Babak Salimi , Anna Zeng

Semiparametric inference on average causal effects from observational data is based on assumptions yielding identification of the effects. In practice, several distinct identifying assumptions may be plausible; an analyst has to make a…

Methodology · Statistics 2025-10-07 Tetiana Gorbach , Xavier de Luna , Juha Karvanen , Ingeborg Waernbaum

Causal inference can be formalized as Bayesian inference that combines a prior distribution over causal models and likelihoods that account for both observations and interventions. We show that it is possible to implement this approach…

Artificial Intelligence · Computer Science 2019-11-01 Sam Witty , Alexander Lew , David Jensen , Vikash Mansinghka

We consider basic conceptual questions concerning the relationship between statistical estimation and causal inference. Firstly, we show how to translate causal inference problems into an abstract statistical formalism without requiring any…

Statistics Theory · Mathematics 2020-07-22 Oliver J. Maclaren , Ruanui Nicholson

In classic cases, Reichenbach's principle implies that discriminating between common causes and causality is unprincipled since the discriminative results essentially depend on the selection of possible conditional variables. For some…

Quantum Physics · Physics 2018-08-01 Mingdi Hu , Yuexian Hou

Causality is a subject of philosophical debate and a central scientific issue with a long history. In the statistical domain, the study of cause and effect based on the notion of `fairness' in comparisons dates back several hundred years,…

Other Statistics · Statistics 2022-04-06 Erica EM Moodie , David A Stephens

Causal inference is a statistical paradigm for quantifying causal effects using observational data. It is a complex process, requiring multiple steps, iterations, and collaborations with domain experts. Analysts often rely on visualizations…

Human-Computer Interaction · Computer Science 2023-03-02 Grace Guo , Ehud Karavani , Alex Endert , Bum Chul Kwon

Recent developments in the formalisation of quantum causal structures have made it possible to test and compare hypotheses about causal structure empirically, rather than being a-priori assumptions. Such differences in causal structure may…

Quantum Physics · Physics 2026-05-28 Declan Maguire , Fabio Costa

The fundamental challenge of drawing causal inference is that counterfactual outcomes are not fully observed for any unit. Furthermore, in observational studies, treatment assignment is likely to be confounded. Many statistical methods have…

Methodology · Statistics 2022-08-01 Harsh Parikh , Carlos Varjao , Louise Xu , Eric Tchetgen Tchetgen
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