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Causal inference is known to be very challenging when only observational data are available. Randomized experiments are often costly and impractical and in instrumental variable regression the number of instruments has to exceed the number…

Methodology · Statistics 2018-06-19 Dominik Rothenhäusler , Peter Bühlmann , Nicolai Meinshausen

Fair machine learning aims to prevent discrimination against individuals or sub-populations based on sensitive attributes such as gender and race. In recent years, causal inference methods have been increasingly used in fair machine…

Machine Learning · Computer Science 2024-03-11 Aoqi Zuo , Yiqing Li , Susan Wei , Mingming Gong

We give a selective review of some recent developments in causal inference, intended for researchers who are not familiar with graphical models and causality, and with a focus on methods that are applicable to large data sets. We mainly…

Methodology · Statistics 2015-06-26 Marloes H. Maathuis , Preetam Nandy

Sparse autoencoders can localize where concepts live in language models, but not how they interact during multi-step reasoning. We propose Causal Concept Graphs (CCG): a directed acyclic graph over sparse, interpretable latent features,…

Machine Learning · Computer Science 2026-04-27 Md Muntaqim Meherab , Noor Islam S. Mohammad , Faiza Feroz

Linear non-Gaussian causal models postulate that each random variable is a linear function of parent variables and non-Gaussian exogenous error terms. We study identification of the linear coefficients when such models contain latent…

Methodology · Statistics 2026-03-05 Daniele Tramontano , Mathias Drton , Jalal Etesami

Structural causal models (SCMs) are widely used in various disciplines to represent causal relationships among variables in complex systems. Unfortunately, the underlying causal structure is often unknown, and estimating it from data…

Machine Learning · Computer Science 2024-01-17 Tianyu Chen , Kevin Bello , Bryon Aragam , Pradeep Ravikumar

Many natural phenomena are intrinsically causal. The discovery of the cause-effect relationships implicit in these processes can help us to understand and describe them more effectively, which boils down to causal discovery about the data…

Quantitative Methods · Quantitative Biology 2024-01-09 Jean Pierre Gomez

We introduce a new family of graphical models that consists of graphs with possibly directed, undirected and bidirected edges but without directed cycles. We show that these models are suitable for representing causal models with additive…

Machine Learning · Statistics 2017-05-30 Jose M. Peña , Marcus Bendtsen

Identifying variables responsible for changes to a biological system enables applications in drug target discovery and cell engineering. Given a pair of observational and interventional datasets, the goal is to isolate the subset of…

Machine Learning · Computer Science 2025-06-02 Menghua Wu , Umesh Padia , Sean H. Murphy , Regina Barzilay , Tommi Jaakkola

Discovering causal structures among latent factors from observed data is a particularly challenging problem. Despite some efforts for this problem, existing methods focus on the single-domain data only. In this paper, we propose…

Machine Learning · Computer Science 2022-04-26 Yan Zeng , Shohei Shimizu , Ruichu Cai , Feng Xie , Michio Yamamoto , Zhifeng Hao

Directed acyclic graphs (DAGs) are commonly used to represent causal relationships among random variables in graphical models. Applications of these models arise in the study of physical, as well as biological systems, where directed edges…

Machine Learning · Statistics 2009-12-01 Ali Shojaie , George Michailidis

The problem of finding an ancestral acyclic directed mixed graph (ADMG) that represents the causal relationships between a set of variables is an important area of research on causal inference. Most existing score-based structure learning…

Machine Learning · Computer Science 2021-10-11 Rui Chen , Sanjeeb Dash , Tian Gao

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

Recursive linear structural equation models are widely used to postulate causal mechanisms underlying observational data. In these models, each variable equals a linear combination of a subset of the remaining variables plus an error term.…

Statistics Theory · Mathematics 2022-03-21 F. Richard Guo , Emilija Perković

Linear structural equation models represent direct causal effects as directed edges and confounding factors as bidirected edges. An open problem is to identify the causal parameters from correlations between the nodes. We investigate…

Artificial Intelligence · Computer Science 2022-03-07 Benito van der Zander , Marcel Wienöbst , Markus Bläser , Maciej Liśkiewicz

Hierarchical models for regionally aggregated disease incidence data commonly involve region specific latent random effects that are modeled jointly as having a multivariate Gaussian distribution. The covariance or precision matrix…

Methodology · Statistics 2019-04-30 Abhirup Datta , Sudipto Banerjee , James S. Hodges

Causal structures for observational survival data provide crucial information regarding the relationships between covariates and time-to-event. We derive motivation from the information theoretic source coding argument, and show that…

Machine Learning · Computer Science 2021-11-03 Ansh Kumar Sharma , Rahul Kukreja , Ranjitha Prasad , Shilpa Rao

Prediction invariance of causal models under heterogeneous settings has been exploited by a number of recent methods for causal discovery, typically focussing on recovering the causal parents of a target variable of interest. Existing…

Methodology · Statistics 2026-03-10 Alice Polinelli , Veronica Vinciotti , Ernst C. Wit

We propose to address the task of causal structure learning from data in a supervised manner. Existing work on learning causal directions by supervised learning is restricted to learning pairwise relation, and not well suited for whole DAG…

Machine Learning · Computer Science 2020-06-09 Hebi Li , Qi Xiao , Jin Tian

New biological assays like Perturb-seq link highly parallel CRISPR interventions to a high-dimensional transcriptomic readout, providing insight into gene regulatory networks. Causal gene regulatory networks can be represented by directed…

Machine Learning · Statistics 2024-02-22 Albert Xue , Jingyou Rao , Sriram Sankararaman , Harold Pimentel
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