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Suppose that a sequence of treatments are assigned to influence an outcome of interest that occurs after the last treatment. Between treatments there exist time-dependent covariates that may be posttreatment variables of the earlier…

Methodology · Statistics 2015-05-28 Li Yin , Xiaoqin Wang

This paper presents a probabilistic model for reasoning about the state of a system as it changes over time, both due to exogenous and endogenous influences. Our target domain is a class of medical prediction problems that are neither so…

Artificial Intelligence · Computer Science 2013-02-21 Steve Hanks , David Madigan , Jonathan Gavrin

Despite the major advances taken in causal modeling, causality is still an unfamiliar topic for many statisticians. In this paper, it is demonstrated from the beginning to the end how causal effects can be estimated from observational data…

Methodology · Statistics 2014-07-03 Juha Karvanen

Causal inference is capable of estimating the treatment effect (i.e., the causal effect of treatment on the outcome) to benefit the decision making in various domains. One fundamental challenge in this research is that the treatment…

Machine Learning · Computer Science 2021-12-28 Qian Li , Zhichao Wang , Shaowu Liu , Gang Li , Guandong Xu

We extend the definition of the marginal causal effect to the continuous treatment setting and develop a novel characterization of causal bias in the framework of structural causal models. We prove that our derived bias expression is zero…

Methodology · Statistics 2022-02-01 Gianluca Detommaso , Michael Brückner , Philip Schulz , Victor Chernozhukov

Many interventions are both beneficial to initiate and harmful to stop. Traditionally, to determine whether to deploy that intervention in a time-limited way depends on if, on average, the increase in the benefits of starting it outweigh…

Causal analyses of longitudinal data generally assume that the qualitative causal structure relating variables remains invariant over time. In structured systems that transition between qualitatively different states in discrete time steps,…

Methodology · Statistics 2020-11-11 Ranjani Srinivasan , Jaron Lee , Rohit Bhattacharya , Narges Ahmidi , Ilya Shpitser

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

Understanding how the causal effect of a treatment evolves over time, including the potential for waning, is important for informed decisions on treatment discontinuation or repetition. For example, waning vaccine protection influences…

Methodology · Statistics 2025-11-25 Eni Musta , Joris Mooij

Classical causal and statistical inference methods typically assume the observed data consists of independent realizations. However, in many applications this assumption is inappropriate due to a network of dependences between units in the…

Machine Learning · Computer Science 2019-07-02 Rohit Bhattacharya , Daniel Malinsky , Ilya Shpitser

We study the identification and estimation of long-term treatment effects when both experimental and observational data are available. Since the long-term outcome is observed only after a long delay, it is not measured in the experimental…

Methodology · Statistics 2024-09-04 Guido Imbens , Nathan Kallus , Xiaojie Mao , Yuhao Wang

Existing causal methods for time-varying exposure and time-varying confounding focus on estimating the average causal effect of a time-varying binary treatment on an end-of-study outcome, offering limited tools for characterizing marginal…

Methodology · Statistics 2026-01-21 Yu Luo , Kuan Liu , Ramandeep Singh , Daniel J. Graham

Estimating the effect of a treatment on a given outcome, conditioned on a vector of covariates, is central in many applications. However, learning the impact of a treatment on a continuous temporal response, when the covariates suffer…

Machine Learning · Computer Science 2019-06-11 Guangyi Zhang , Reza Ashrafi , Anne Juuti , Kirsi Pietiläinen , Pekka Marttinen

We consider causal inference in dynamic settings where treatment is assigned by thresholding a state variable that can change over time. There is a large literature on regression-discontinuity methods building on the fact that, in the…

Methodology · Statistics 2026-05-25 Aditya Ghosh , Stefan Wager

There has recently been a growing interest in the development of statistical methods to compare medical costs between treatment groups. When cumulative cost is the outcome of interest, right-censoring poses the challenge of informative…

Methodology · Statistics 2017-05-25 Andrew J. Spieker , Arman Oganisian , Emily M. Ko , Jason A. Roy , Nandita Mitra

Uncertainty quantification of causal effects is crucial for safety-critical applications such as personalized medicine. A powerful approach for this is conformal prediction, which has several practical benefits due to model-agnostic…

Machine Learning · Computer Science 2026-02-04 Maresa Schröder , Dennis Frauen , Jonas Schweisthal , Konstantin Heß , Valentyn Melnychuk , Stefan Feuerriegel

Doubly robust estimators of causal effects are a popular means of estimating causal effects. Such estimators combine an estimate of the conditional mean of the outcome given treatment and confounders (the so-called outcome regression) with…

Methodology · Statistics 2019-01-17 David Benkeser , Weixin Cai , Mark J van der Laan

This article investigates the model-robustness of fixed-effects models for analyzing a broad class of longitudinal cluster trials (CTs) such as stepped-wedge, parallel-with-baseline and crossover designs, encompassing both randomized (CRTs)…

Methodology · Statistics 2026-04-10 Kenneth M. Lee , Fan Li

We propose a novel method for estimating heterogeneous treatment effects based on the fused lasso. By first ordering samples based on the propensity or prognostic score, we match units from the treatment and control groups. We then run the…

Inferring causal effects from an observational study is challenging because participants are not randomized to treatment. Observational studies in infectious disease research present the additional challenge that one participant's treatment…

Methodology · Statistics 2020-12-25 Brian G. Barkley , Michael G. Hudgens , John D. Clemens , Mohammad Ali , Michael E. Emch
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