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Causal DAGs(Directed Acyclic Graphs) are usually considered in a 2D plane. Edges indicate causal effects' directions and imply their corresponding time-passings. Due to the natural restriction of statistical models, effect estimation is…

Machine Learning · Computer Science 2023-09-26 Jia Li , Xiang Li , Xiaowei Jia , Michael Steinbach , Vipin Kumar

Causal discovery with latent variables is a fundamental task. Yet most existing methods rely on strong structural assumptions, such as enforcing specific indicator patterns for latents or restricting how they can interact with others. We…

Machine Learning · Computer Science 2026-03-06 Haoyue Dai , Immanuel Albrecht , Peter Spirtes , Kun Zhang

Incorporating causal knowledge and mechanisms is essential for refining causal models and improving downstream tasks such as designing new treatments. In this paper, we introduce a novel concept in causal discovery, termed interventional…

Machine Learning · Computer Science 2025-10-31 Zhigao Guo , Feng Dong

We consider the problem of learning a causal graph in the presence of measurement error. This setting is for example common in genomics, where gene expression is corrupted through the measurement process. We develop a provably consistent…

Methodology · Statistics 2019-06-04 Basil Saeed , Anastasiya Belyaeva , Yuhao Wang , Caroline Uhler

In this paper, we propose a novel inference method for dynamic genetic networks which makes it possible to face with a number of time measurements n much smaller than the number of genes p. The approach is based on the concept of low order…

Statistics Theory · Mathematics 2009-05-29 Sophie Lèbre

Structural causal models postulate noisy functional relations among a set of interacting variables. The causal structure underlying each such model is naturally represented by a directed graph whose edges indicate for each variable which…

Statistics Theory · Mathematics 2022-03-15 David Strieder , Tobias Freidling , Stefan Haffner , Mathias Drton

Background: In epidemiology, causal inference and prediction modeling methodologies have been historically distinct. Directed Acyclic Graphs (DAGs) are used to model a priori causal assumptions and inform variable selection strategies for…

Methodology · Statistics 2020-07-03 Marco Piccininni , Stefan Konigorski , Jessica L Rohmann , Tobias Kurth

Causal discovery is crucial for understanding complex systems and informing decisions. While observational data can uncover causal relationships under certain assumptions, it often falls short, making active interventions necessary. Current…

Machine Learning · Computer Science 2024-06-18 Yuxuan Wang , Mingzhou Liu , Xinwei Sun , Wei Wang , Yizhou Wang

This paper discusses algorithms for learning causal DAGs. The PC algorithm makes no assumptions other than the faithfulness to the causal model and can identify only up to the Markov equivalence class. LiNGAM assumes linearity and…

Machine Learning · Computer Science 2026-05-08 Ming Cai , Penggang Gao , Hisayuki Hara

Heretofore, learning the directed acyclic graphs (DAGs) that encode the cause-effect relationships embedded in observational data is a computationally challenging problem. A recent trend of studies has shown that it is possible to recover…

Machine Learning · Computer Science 2023-07-18 Bao Duong , Thin Nguyen

We consider modeling a binary response variable together with a set of covariates for two groups under observational data. The grouping variable can be the confounding variable (the common cause of treatment and outcome), gender,…

Methodology · Statistics 2023-04-13 Rasool Tahmasbi , Keyvan Tahmasbi

We consider testing and learning problems on causal Bayesian networks as defined by Pearl (Pearl, 2009). Given a causal Bayesian network $\mathcal{M}$ on a graph with $n$ discrete variables and bounded in-degree and bounded `confounded…

Data Structures and Algorithms · Computer Science 2018-05-25 Jayadev Acharya , Arnab Bhattacharyya , Constantinos Daskalakis , Saravanan Kandasamy

Causal discovery from observational data is an important tool in many branches of science. Under certain assumptions it allows scientists to explain phenomena, predict, and make decisions. In the large sample limit, sound and complete…

Machine Learning · Statistics 2021-07-13 Shami Nisimov , Yaniv Gurwicz , Raanan Y. Rohekar , Gal Novik

In causal inference, interference occurs when the treatment of one unit may affect the outcomes of other units. The goal of this work is to serve as a guide to the use of linear outcome modeling for estimating causal effects in settings…

Methodology · Statistics 2026-04-01 Eric Tong , Salvador V. Balkus

Understanding causal relationships in multivariate time series is essential for predicting and controlling dynamic systems in fields like economics, neuroscience, and climate science. However, existing causal discovery methods often assume…

Machine Learning · Computer Science 2025-02-20 Abdellah Rahmani , Pascal Frossard

We present a consistent and highly scalable local approach to learn the causal structure of a linear Gaussian polytree using data from interventional experiments with known intervention targets. Our methods first learn the skeleton of the…

Machine Learning · Statistics 2023-11-09 D. Tramontano , L. Waldmann , M. Drton , E. Duarte

In this paper we propose a causal analog to the purely observational Dynamic Bayesian Networks, which we call Dynamic Causal Networks. We provide a sound and complete algorithm for identification of Dynamic Causal Net- works, namely, for…

Artificial Intelligence · Computer Science 2016-10-19 Gilles Blondel , Marta Arias , Ricard Gavaldà

Recovering causal relationships from data is an important problem. Using observational data, one can typically only recover causal graphs up to a Markov equivalence class and additional assumptions or interventional data are needed for…

Machine Learning · Computer Science 2023-05-31 Davin Choo , Kirankumar Shiragur

Causal discovery from observational and interventional data is challenging due to limited data and non-identifiability: factors that introduce uncertainty in estimating the underlying structural causal model (SCM). Selecting experiments…

Machine Learning · Computer Science 2022-10-24 Panagiotis Tigas , Yashas Annadani , Andrew Jesson , Bernhard Schölkopf , Yarin Gal , Stefan Bauer

We study the generic identifiability of causal effects in linear non-Gaussian acyclic models (LiNGAM) with latent variables. We consider the problem in two main settings: When the causal graph is known a priori, and when it is unknown. In…

Machine Learning · Statistics 2024-06-05 Daniele Tramontano , Yaroslav Kivva , Saber Salehkaleybar , Mathias Drton , Negar Kiyavash