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Methods to identify cause-effect relationships currently mostly assume the variables to be scalar random variables. However, in many fields the objects of interest are vectors or groups of scalar variables. We present a new constraint-based…

Methodology · Statistics 2022-12-02 Jonas Wahl , Urmi Ninad , Jakob Runge

We study the problem of efficiently estimating the effect of an intervention on a single variable (atomic interventions) using observational samples in a causal Bayesian network. Our goal is to give algorithms that are efficient in both…

Machine Learning · Computer Science 2020-08-07 Arnab Bhattacharyya , Sutanu Gayen , Saravanan Kandasamy , Ashwin Maran , N. V. Vinodchandran

Construction of just-in-time adaptive interventions, such as prompts delivered by mobile apps to promote and maintain behavioral change, requires knowledge about time-varying moderated effects to inform when and how we deliver intervention…

Methodology · Statistics 2022-12-06 Jieru Shi , Zhenke Wu , Walter Dempsey

Time series imputation is one of the most challenge problems and has broad applications in various fields like health care and the Internet of Things. Existing methods mainly aim to model the temporally latent dependencies and the…

Machine Learning · Computer Science 2025-05-13 Ruichu Cai , Kaitao Zheng , Junxian Huang , Zijian Li , Zhengming Chen , Boyan Xu , Zhifeng Hao

Identifying causal relationships from observational time series data is a key problem in disciplines such as climate science or neuroscience, where experiments are often not possible. Data-driven causal inference is challenging since…

Methodology · Statistics 2019-12-03 Jakob Runge , Peer Nowack , Marlene Kretschmer , Seth Flaxman , Dino Sejdinovic

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

We address the problem of integrating data from multiple, possibly biased, observational and interventional studies, to eventually compute counterfactuals in structural causal models. We start from the case of a single observational dataset…

Methodology · Statistics 2023-08-01 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas , David Huber

A major challenge in causal discovery from observational data is the absence of perfect interventions, making it difficult to distinguish causal features from spurious ones. We propose an innovative approach, Feature Matching Intervention…

Machine Learning · Statistics 2025-03-06 Haoze Li , Jun Xie

Robins (1998) introduced marginal structural models (MSMs), a general class of counterfactual models for the joint effects of time-varying treatment regimes in complex longitudinal studies subject to time-varying confounding. He established…

Methodology · Statistics 2018-09-17 Eric J Tchetgen Tchetgen , Haben Michael , Yifan Cui

Time series generation (TSG) synthesizes realistic sequences and has achieved remarkable success. Among TSG, conditional models generate sequences given observed covariates, however, such models learn observational correlations without…

Machine Learning · Computer Science 2026-05-15 Yutong Xia , Chang Xu , Yuxuan Liang , Li Zhao , Qingsong Wen , Roger Zimmermann , Jiang Bian

Using a hierarchical construction, we develop methods for a wide and flexible class of models by taking a fully parametric approach to generalized linear mixed models with complex covariance dependence. The Laplace approximation is used to…

Methodology · Statistics 2024-07-31 Jay M. Ver Hoef , Eryn Blagg , Michael Dumelle , Philip M. Dixon , Dale L. Zimmerman , Paul Conn

N-of-1 experiments, where a unit serves as its own control and treatment in different time windows, have been used in certain medical contexts for decades. However, due to effects that accumulate over long time windows and interventions…

Methodology · Statistics 2025-02-25 Tengyuan Liang , Benjamin Recht

Obtaining a non-parametric expression for an interventional distribution is one of the most fundamental tasks in causal inference. Such an expression can be obtained for an identifiable causal effect by an algorithm or by manual application…

Machine Learning · Statistics 2018-06-20 Santtu Tikka , Juha Karvanen

We present a Bayesian procedure for estimation of pairwise intervention effects in a high-dimensional system of categorical variables. We assume that we have observational data generated from an unknown causal Bayesian network for which…

Methodology · Statistics 2025-07-02 Vera Kvisgaard , Johan Pensar

Despite the excelling performance of machine learning models, understanding their decisions remains a long-standing goal. Although commonly used attribution methods from explainable AI attempt to address this issue, they typically rely on…

Machine Learning · Computer Science 2025-11-20 Juan Miguel Lopez Alcaraz , Nils Strodthoff

The No Unmeasured Confounding Assumption is widely used to identify causal effects in observational studies. Recent work on proximal inference has provided alternative identification results that succeed even in the presence of unobserved…

Machine Learning · Statistics 2022-10-17 Benjamin Kompa , David R. Bellamy , Thomas Kolokotrones , James M. Robins , Andrew L. Beam

There exist several approaches for estimating causal effects in time series when latent confounding is present. Many of these approaches rely on additional auxiliary observed variables or time series such as instruments, negative controls…

Methodology · Statistics 2025-05-27 Tom Hochsprung , Jakob Runge , Andreas Gerhardus

Several methods exist to infer causal networks from massive volumes of observational data. However, almost all existing methods require a considerable length of time series data to capture cause and effect relationships. In contrast,…

Machine Learning · Statistics 2016-12-22 Abbas Shojaee , Isuru Ranasinghe , Alireza Ani

Due to unmeasured confounding, it is often not possible to identify causal effects from a postulated model. Nevertheless, we can ask for partial identification, which usually boils down to finding upper and lower bounds of a causal quantity…

Machine Learning · Statistics 2022-03-01 Jakob Zeitler , Ricardo Silva

In recent years, a growing number of method and application works have adapted and applied the causal-graphical-model framework to time series data. Many of these works employ time-resolved causal graphs that extend infinitely into the past…

Statistics Theory · Mathematics 2023-10-10 Andreas Gerhardus , Jonas Wahl , Sofia Faltenbacher , Urmi Ninad , Jakob Runge