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Educational systems have traditionally been evaluated using cross-sectional studies, namely, examining a pretest, posttest, and single intervention. Although this is a popular approach, it does not model valuable information such as…

Applications · Statistics 2021-08-03 Manie Tadayon , Greg Pottie

One core assumption typically adopted for valid causal inference is that of no interference between experimental units, i.e., the outcome of an experimental unit is unaffected by the treatments assigned to other experimental units. This…

Methodology · Statistics 2025-06-25 Yuki Ohnishi , Bikram Karmakar , Arman Sabbaghi

Estimation and inference in dynamic discrete choice models often relies on approximation to lower the computational burden of dynamic programming. Unfortunately, the use of approximation can impart substantial bias in estimation and results…

Econometrics · Economics 2020-10-23 Ben Deaner

By interpreting the forward dynamics of the latent representation of neural networks as an ordinary differential equation, Neural Ordinary Differential Equation (Neural ODE) emerged as an effective framework for modeling a system dynamics…

Machine Learning · Computer Science 2020-10-19 Daehoon Gwak , Gyuhyeon Sim , Michael Poli , Stefano Massaroli , Jaegul Choo , Edward Choi

Consider the case that one observes a single time-series, where at each time t one observes a data record O(t) involving treatment nodes A(t), possible covariates L(t) and an outcome node Y(t). The data record at time t carries information…

Statistics Theory · Mathematics 2021-02-04 Mark J. van der Laan , Ivana Malenica

Many scientific questions in biomedical, environmental, and psychological research involve understanding the effects of multiple factors on outcomes. While factorial experiments are ideal for this purpose, randomized controlled treatment…

Methodology · Statistics 2025-12-03 Ruoqi Yu , Peng Ding

In settings where interference between units is possible, we define the prevalence of indirect effects to be the number of units who are affected by the treatment of others. This quantity does not fully identify an indirect effect, but may…

Methodology · Statistics 2024-01-18 David Choi

Causal inference is central to many areas of artificial intelligence, including complex reasoning, planning, knowledge-base construction, robotics, explanation, and fairness. An active community of researchers develops and enhances…

Artificial Intelligence · Computer Science 2019-11-05 Amanda Gentzel , Dan Garant , David Jensen

We systematically investigate issues due to mis-specification that arise in estimating causal effects when (treatment) interference is informed by a network available pre-intervention, i.e., in situations where the outcome of a unit may…

Methodology · Statistics 2018-10-22 Vishesh Karwa , Edoardo M. Airoldi

This paper considers how to classify the effects of interventions in causal models for outcomes and exposures observed over time. First, we demonstrate the limitations of the most common uses of potential outcomes and causal directed…

Methodology · Statistics 2026-05-29 Russell Steele , Naftali Weinberger , Tess Baker , Ian Shrier

Linear mixed models with large imbalanced crossed random effects structures pose severe computational problems for maximum likelihood estimation and for Bayesian analysis. The costs can grow as fast as $N^{3/2}$ when there are N…

Methodology · Statistics 2017-05-30 K. Gao , A. B. Owen

Modern medical research demands specialized causal inference methods evaluating complex continuous-time dynamic treatment regimens using observational data. For instance, obtaining the causal effects of intravenous administration, a…

Methodology · Statistics 2026-04-02 Haiyan Zhu , Yingchun Zhou

Methods for inferring average causal effects have traditionally relied on two key assumptions: (i) the intervention received by one unit cannot causally influence the outcome of another; and (ii) units can be organized into non-overlapping…

Methodology · Statistics 2019-08-23 Eric J. Tchetgen Tchetgen , Isabel Fulcher , Ilya Shpitser

A challenging problem when studying a dynamical system is to find the interdependencies among its individual components. Several algorithms have been proposed to detect directed dynamical influences between time series. Two of the most used…

Data Analysis, Statistics and Probability · Physics 2015-09-09 Alessandro Montalto , Sebastiano Stramaglia , Luca Faes , Giovanni Tessitore , Roberto Prevete , Daniele Marinazzo

In medical research, a scenario often entertained is randomized controlled $2^2$ factorial design with a binary outcome. By utilizing the concept of potential outcomes, Dasgupta et al. (2015) proposed a randomization-based causal inference…

Methodology · Statistics 2017-11-15 Jiannan Lu

Estimating the treatment effect within network structures is a key focus in online controlled experiments, particularly for social media platforms. We investigate a scenario where the unit-level outcome of interest comprises a series of…

Methodology · Statistics 2025-05-28 Yilin Li , Lu Deng , Yong Wang , Wang Miao

We consider causal models with two observed variables and one latent variables, each variable being discrete, with the goal of characterizing the possible distributions on outcomes that can result from controlling one of the observed…

Information Theory · Computer Science 2021-03-05 Kevin Shu

What is the difference of a prediction that is made with a causal model and a non-causal model? Suppose we intervene on the predictor variables or change the whole environment. The predictions from a causal model will in general work as…

Methodology · Statistics 2024-04-27 Jonas Peters , Peter Bühlmann , Nicolai Meinshausen

Regulators and academics are increasingly interested in the causal effect that algorithmic actions of a digital platform have on consumption. We introduce a general causal inference problem we call the steerability of consumption that…

Machine Learning · Computer Science 2023-02-13 Gary Cheng , Moritz Hardt , Celestine Mendler-Dünner

Causal inference from observational data is an ambitious but highly relevant task, with diverse applications ranging from natural to social sciences. Within the scope of nonparametric time series, causal inference defined through…

Methodology · Statistics 2016-12-22 Shu Li , Jan Ernest , Peter Bühlmann