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Convergent Cross-Mapping (CCM) is a technique for computing specific kinds of correlations between sets of times series. It was introduced by Sugihara et al. and is reported to be "a necessary condition for causation" capable of…

Data Analysis, Statistics and Probability · Physics 2014-12-02 James M. McCracken , Robert S. Weigel

We study the estimation of causal estimand involving the joint distribution of treatment and control outcomes for a single unit. In typical causal inference settings, it is impossible to observe both outcomes simultaneously, which places…

Methodology · Statistics 2026-02-16 Sirui Lin , Zijun Gao , Jose Blanchet , Peter Glynn

Principal stratification is a general framework for studying causal mechanisms involving post-treatment variables. When estimating principal causal effects, the principal ignorability assumption is commonly invoked, which we study in detail…

Methodology · Statistics 2026-04-21 Minxuan Wu , Joseph Antonelli

Causal discovery is to learn cause-effect relationships among variables given observational data and is important for many applications. Existing causal discovery methods assume data sufficiency, which may not be the case in many real world…

Machine Learning · Computer Science 2022-06-20 Zijun Cui , Naiyu Yin , Yuru Wang , Qiang Ji

In some causal inference scenarios, the treatment variable is measured inaccurately, for instance in epidemiology or econometrics. Failure to correct for the effect of this measurement error can lead to biased causal effect estimates.…

Machine Learning · Computer Science 2024-09-13 Antti Pöllänen , Pekka Marttinen

Participant noncompliance, in which participants do not follow their assigned treatment protocol, often obscures the causal relationship between treatment and treatment effect in randomized trials. In the longitudinal setting, the…

Methodology · Statistics 2023-02-09 Ross L Peterson , David M Vock , Joseph S Koopmeiners

Without loss of generality, existing machine learning techniques may learn spurious correlation dependent on the domain, which exacerbates the generalization of models in out-of-distribution (OOD) scenarios. To address this issue, recent…

Machine Learning · Computer Science 2024-06-18 Bin Qin , Jiangmeng Li , Yi Li , Xuesong Wu , Yupeng Wang , Wenwen Qiang , Jianwen Cao

Understanding and quantifying cause and effect is an important problem in many domains. The generally-agreed solution to this problem is to perform a randomised controlled trial. However, even when randomised controlled trials can be…

Machine Learning · Statistics 2023-02-22 Graham Van Goffrier , Lucas Maystre , Ciarán Gilligan-Lee

Representational similarity analysis (RSA) is a multivariate technique to investigate cortical representations of objects or constructs. While avoiding ill-posed matrix inversions that plague multivariate approaches in the presence of many…

Methodology · Statistics 2021-12-03 Roberto Viviani

We propose a formal model for counterfactual estimation with unobserved confounding in "data-rich" settings, i.e., where there are a large number of units and a large number of measurements per unit. Our model provides a bridge between the…

Econometrics · Economics 2025-04-03 Alberto Abadie , Anish Agarwal , Devavrat Shah

In this paper, we focus on estimating the causal effect of an intervention over time on a dynamical system. To that end, we formally define causal interventions and their effects over time on discrete-time stochastic processes (DSPs). Then,…

Artificial Intelligence · Computer Science 2025-05-28 Martina Cinquini , Isacco Beretta , Salvatore Ruggieri , Isabel Valera

Accurate conditional prediction in the regression setting plays an important role in many real-world problems. Typically, a point prediction often falls short since no attempt is made to quantify the prediction accuracy. Classically, under…

Methodology · Statistics 2025-09-04 Kejin Wu , Dimitris N. Politis

This paper introduces a simple framework of counterfactual estimation for causal inference with time-series cross-sectional data, in which we estimate the average treatment effect on the treated by directly imputing counterfactual outcomes…

Methodology · Statistics 2022-08-16 Licheng Liu , Ye Wang , Yiqing Xu

The estimation of causal treatment effects from observational data is a fundamental problem in causal inference. To avoid bias, the effect estimator must control for all confounders. Hence practitioners often collect data for as many…

Machine Learning · Statistics 2020-11-05 Kristjan Greenewald , Dmitriy Katz-Rogozhnikov , Karthik Shanmugam

We focus on the problem of generalizing a causal effect estimated on a randomized controlled trial (RCT) to a target population described by a set of covariates from observational data. Available methods such as inverse propensity sampling…

Methodology · Statistics 2023-02-27 Imke Mayer , Julie Josse , Traumabase Group

Latent confounders---unobserved variables that influence both treatment and outcome---can bias estimates of causal effects. In some cases, these confounders are shared across observations, e.g. all students taking a course are influenced by…

Methodology · Statistics 2020-07-15 Sam Witty , Kenta Takatsu , David Jensen , Vikash Mansinghka

This paper characterizes the impact of covariate serial dependence on the non-asymptotic estimation error bound of penalized regressions (PRs). Focusing on the direct relationship between the degree of cross-correlation between covariates…

Statistics Theory · Mathematics 2023-02-14 Simone Tonini , Francesca Chiaromonte , Alessandro Giovannelli

Randomized clinical trials (RCTs) are ideal for estimating causal effects, because the distributions of background covariates are similar in expectation across treatment groups. When estimating causal effects using observational data,…

Methodology · Statistics 2019-02-27 Anthony D. Scotina , Roee Gutman

Regressions are commonly used in environmental science and economics to identify causal or associative relationships between variables. In these settings, remote sensing-derived map products increasingly serve as sources of variables,…

Applications · Statistics 2025-07-04 Kerri Lu , Dan M. Kluger , Stephen Bates , Sherrie Wang

Difference-in-differences (DiD) is a cornerstone of causal inference, yet extending it to functional outcomes is not a routine scalar generalization; rather, it entails three fundamental challenges in identification, inference, and…

Methodology · Statistics 2026-05-29 Junzhu Nie , Chengxiu Ling , Mengfei Ran