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Measuring treatment effects in observational studies is challenging because of confounding bias. Confounding occurs when a variable affects both the treatment and the outcome. Traditional methods such as propensity score matching estimate…

Methodology · Statistics 2021-12-23 Bevan I. Smith , Charles Chimedza

We study causal effect estimation from a mixture of observational and interventional data in a confounded linear regression model with multivariate treatments. We show that the statistical efficiency in terms of expected squared error can…

Stepped-wedge designs are increasingly used in randomized experiments to accommodate logistical and ethical constraints by staggering treatment roll-out over time. Despite their popularity, existing analytical methods largely rely on…

Methodology · Statistics 2026-02-12 Liangbo Lyu , Bingkai Wang

While machine learning (ML) methods have received a lot of attention in recent years, these methods are primarily for prediction. Empirical researchers conducting policy evaluations are, on the other hand, pre-occupied with causal problems,…

Machine Learning · Statistics 2019-03-04 Noemi Kreif , Karla DiazOrdaz

Difference-in-differences is based on a parallel trends assumption, which states that changes over time in average potential outcomes are independent of treatment assignment, possibly conditional on covariates. With time-varying treatments,…

Methodology · Statistics 2024-06-25 Nicholas Illenberger , Iván Díaz , Audrey Renson

Demand response aims to stimulate electricity consumers to modify their loads at critical time periods. In this paper, we consider signals in demand response programs as a binary treatment to the customers and estimate the average treatment…

Optimization and Control · Mathematics 2017-07-04 Pan Li , Baosen Zhang

Causal inference methods have been applied in various fields where researchers want to estimate treatment effects. In traditional causal inference settings, one assumes that the outcome of a unit does not depend on treatments of other…

Methodology · Statistics 2022-09-05 Kelly Kung , Daniel L. Sussman

This work proposes a machine-learning framework for constructing statistical models of errors incurred by approximate solutions to parameterized systems of nonlinear equations. These approximate solutions may arise from early termination of…

Numerical Analysis · Computer Science 2019-02-18 Brian A. Freno , Kevin T. Carlberg

We consider estimation and inference of the effects of a policy in the absence of an untreated or control group. We obtain unbiased estimators of individual (heterogeneous) treatment effects and a consistent and asymptotically normal…

Econometrics · Economics 2026-01-13 Irene Botosaru , Raffaella Giacomini , Martin Weidner

This paper provides estimation and inference methods for an identified set's boundary (i.e., support function) where the selection among a very large number of covariates is based on modern regularized tools. I characterize the boundary…

Machine Learning · Statistics 2022-12-14 Vira Semenova

We establish a general statistical optimality theory for estimation problems where the target parameter is a linear functional of an unknown nuisance component that must be estimated from data. This formulation covers many causal and…

Machine Learning · Statistics 2026-01-06 Jikai Jin , Vasilis Syrgkanis

The ultimate goal of regression analysis is to obtain information about the conditional distribution of a response given a set of explanatory variables. This goal is, however, seldom achieved because most established regression models only…

Methodology · Statistics 2017-12-13 Torsten Hothorn , Thomas Kneib , Peter Bühlmann

The most widely discussed methods for estimating the Average Causal Effect/Average Treatment Effect are those for intervention in discrete binary variables whose value represents intervention/non-intervention groups. On the other hand,…

Machine Learning · Statistics 2022-03-21 Yoshiaki Kitazawa

Confounding bias is a key challenge in causal effect estimation from observational data. Double Machine Learning (DML) addresses this issue by estimating treatment and outcome nuisance functions, constructing treatment and outcome…

Machine Learning · Computer Science 2026-05-26 Guodu Xiang , Kui Yu , Yujie Wang , Richang Hong , Fuyuan Cao , Jiye Liang

Many open problems in machine learning are intrinsically related to causality, however, the use of causal analysis in machine learning is still in its early stage. Within a general reinforcement learning setting, we consider the problem of…

Machine Learning · Computer Science 2022-05-18 Tue Herlau , Rasmus Larsen

We introduce a new method for estimating the mean of an outcome variable within groups when researchers only observe the average of the outcome and group indicators across a set of aggregation units, such as geographical areas. Existing…

Methodology · Statistics 2026-05-01 Cory McCartan , Shiro Kuriwaki

Inference tasks in signal processing are often characterized by the availability of reliable statistical modeling with some missing instance-specific parameters. One conventional approach uses data to estimate these missing parameters and…

Signal Processing · Electrical Eng. & Systems 2023-04-25 Nir Shlezinger , Tirza Routtenberg

We introduce inferential methods for prediction based on functional random effects in generalized functional mixed effects models. This is similar to the inference for random effects in generalized linear mixed effects models (GLMMs), but…

Methodology · Statistics 2025-01-15 Xinkai Zhou , Erjia Cui , Joseph Sartini , Ciprian Crainiceanu

The transition to prescriptive maintenance (PsM) in manufacturing is critically constrained by a dependence on predictive models. Such purely predictive models tend to capture statistical associations in the data without identifying the…

Artificial Intelligence · Computer Science 2026-03-10 Felix Saretzky , Lucas Andersen , Thomas Engel , Fazel Ansari

One major drawback of state-of-the-art artificial intelligence is its lack of explainability. One approach to solve the problem is taking causality into account. Causal mechanisms can be described by structural causal models. In this work,…

Machine Learning · Statistics 2021-09-07 Nico Reick , Felix Wiewel , Alexander Bartler , Bin Yang