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Discovering causal relations from observational time series without making the stationary assumption is a significant challenge. In practice, this challenge is common in many areas, such as retail sales, transportation systems, and medical…

Machine Learning · Computer Science 2024-07-11 Shanyun Gao , Raghavendra Addanki , Tong Yu , Ryan A. Rossi , Murat Kocaoglu

At the heart of causal structure learning from observational data lies a deceivingly simple question: given two statistically dependent random variables, which one has a causal effect on the other? This is impossible to answer using…

Machine Learning · Computer Science 2020-10-13 Nikolaos Nikolaou , Konstantinos Sechidis

We consider the task of counterfactual estimation from observational imaging data given a known causal structure. In particular, quantifying the causal effect of interventions for high-dimensional data with neural networks remains an open…

Machine Learning · Computer Science 2022-02-22 Pedro Sanchez , Sotirios A. Tsaftaris

We prove the main rules of causal calculus (also called do-calculus) for i/o structural causal models (ioSCMs), a generalization of a recently proposed general class of non-/linear structural causal models that allow for cycles, latent…

Machine Learning · Statistics 2022-08-31 Patrick Forré , Joris M. Mooij

In biomedical research, repeated measurements within each subject are often processed to remove artifacts and unwanted sources of variation. The resulting data are used to construct derived outcomes that act as proxies for scientific…

Methodology · Statistics 2026-02-03 Zihang Wang , Razieh Nabi , Benjamin B. Risk

Three distinct phenomena complicate statistical causal analysis: latent common causes, causal cycles, and latent selection. Foundational works on Structural Causal Models (SCMs), e.g., Bongers et al. (2021, Ann. Stat., 49(5): 2885-2915),…

Methodology · Statistics 2025-11-23 Leihao Chen , Onno Zoeter , Joris M. Mooij

A predictive model makes outcome predictions based on some given features, i.e., it estimates the conditional probability of the outcome given a feature vector. In general, a predictive model cannot estimate the causal effect of a feature…

Machine Learning · Computer Science 2023-04-11 Jiuyong Li , Lin Liu , Ziqi Xu , Ha Xuan Tran , Thuc Duy Le , Jixue Liu

Prediction models are used amongst others to inform medical decisions on interventions. Typically, individuals with high risks of adverse outcomes are advised to undergo an intervention while those at low risk are advised to refrain from…

One of the central elements of any causal inference is an object called structural causal model (SCM), which represents a collection of mechanisms and exogenous sources of random variation of the system under investigation (Pearl, 2000). An…

Machine Learning · Computer Science 2022-10-05 Kevin Xia , Kai-Zhan Lee , Yoshua Bengio , Elias Bareinboim

Many real-world systems can be usefully represented as sets of interacting components. Examples include computational systems, such as query processors and compilers, natural systems, such as cells and ecosystems, and social systems, such…

Artificial Intelligence · Computer Science 2025-03-18 Purva Pruthi , David Jensen

Causal inference from observational data is a subject of active research and development in statistics and computer science. Many toolkits have been developed for this purpose that depends on statistical software. However, these toolkits do…

Databases · Computer Science 2016-09-14 Babak Salimi , Dan Suciu

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

Generating synthetic datasets that accurately reflect real-world observational data is critical for evaluating causal estimators, but it remains a challenging task. Existing generative methods offer a solution by producing synthetic…

Machine Learning · Computer Science 2026-04-07 Pracheta Amaranath , Vinitra Muralikrishnan , Amit Sharma , David Jensen

Explanatory studies, such as randomized controlled trials, are targeted to extract the true causal effect of interventions on outcomes and are by design adjusted for covariates through randomization. On the contrary, observational studies…

Methodology · Statistics 2022-05-02 Riddhiman Adib , Sheikh Iqbal Ahamed , Mohammad Adibuzzaman

Learning-based signal processing systems increasingly support high-stakes medical decisions using heterogeneous biomedical signals, including medical images, physiological time series, and clinical records. Despite strong predictive…

Signal Processing · Electrical Eng. & Systems 2026-03-02 Surajit Das , Maxine Tan

The Causal Roadmap outlines a systematic approach to asking and answering questions of cause-and-effect: define the quantity of interest, evaluate needed assumptions, conduct statistical estimation, and carefully interpret results. To…

Methodology · Statistics 2024-05-30 Nerissa Nance , Maya L. Petersen , Mark van der Laan , Laura B. Balzer

Estimating causal effects from observational data informs us about which factors are important in an autonomous system, and enables us to take better decisions. This is important because it has applications in selecting a treatment in…

Machine Learning · Computer Science 2021-10-29 Plabon Shaha , Talha Islam Zadid , Ismat Rahman , Md. Mosaddek Khan

Inferring the causal direction and causal effect between two discrete random variables X and Y from a finite sample is often a crucial problem and a challenging task. However, if we have access to observational and interventional data, it…

Machine Learning · Statistics 2020-10-16 Peter Gmeiner

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

The purpose of many health studies is to estimate the effect of an exposure on an outcome. It is not always ethical to assign an exposure to individuals in randomised controlled trials, instead observational data and appropriate study…