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The recent works on causal discovery have followed a similar trend of learning partial ancestral graphs (PAGs) since observational data constrain the true causal directed acyclic graph (DAG) only up to a Markov equivalence class. This…

Machine Learning · Computer Science 2026-03-03 Tingrui Huang , Devendra Singh Dhami

Deterministic variables are variables that are fully explained by one or more parent variables. They commonly arise when a variable has been algebraically constructed from one or more parent variables, as with composite variables, and in…

Directed acyclic graphs (DAGs) are central to science and engineering applications including causal inference, scheduling, and neural architecture search. In this work, we introduce the DAG Convolutional Network (DCN), a novel graph neural…

Signal Processing · Electrical Eng. & Systems 2026-05-20 Samuel Rey , Hamed Ajorlou , Gonzalo Mateos

Recent years have seen rapid progress at the intersection between causality and machine learning. Motivated by scientific applications involving high-dimensional data, in particular in biomedicine, we propose a deep neural architecture for…

Machine Learning · Computer Science 2022-12-12 Kai Lagemann , Christian Lagemann , Bernd Taschler , Sach Mukherjee

Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

Methodology · Statistics 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

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

In statistics and machine learning, detecting dependencies in datasets is a central challenge. We propose a novel neural network model for supervised graph structure learning, i.e., the process of learning a mapping between observational…

Machine Learning · Statistics 2024-02-14 Philipp Froehlich , Heinz Koeppl

Causal discovery is at the core of human cognition. It enables us to reason about the environment and make counterfactual predictions about unseen scenarios that can vastly differ from our previous experiences. We consider the task of…

Machine Learning · Computer Science 2020-12-01 Yunzhu Li , Antonio Torralba , Animashree Anandkumar , Dieter Fox , Animesh Garg

We consider a binary response which is potentially affected by a set of continuous variables. Of special interest is the causal effect on the response due to an intervention on a specific variable. The latter can be meaningfully determined…

Methodology · Statistics 2020-09-11 Federico Castelletti , Guido Consonni

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 this article, we propose a new hypothesis testing method for directed acyclic graph (DAG). While there is a rich class of DAG estimation methods, there is a relative paucity of DAG inference solutions. Moreover, the existing methods…

Machine Learning · Statistics 2023-05-25 Chengchun Shi , Yunzhe Zhou , Lexin Li

Precise knowledge of causal directed acyclic graphs (DAGs) is assumed for standard approaches towards valid adjustment set selection for unbiased estimation, but in practice, the DAG is often inferred from data or expert knowledge,…

Statistics Theory · Mathematics 2025-11-14 Zhongyi Hu , Stéphanie van der Pas

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

Bayesian causal discovery aims to infer the posterior distribution over causal models from observed data, quantifying epistemic uncertainty and benefiting downstream tasks. However, computational challenges arise due to joint inference over…

Machine Learning · Computer Science 2023-12-11 Yashas Annadani , Nick Pawlowski , Joel Jennings , Stefan Bauer , Cheng Zhang , Wenbo Gong

Knowledge driven discovery of novel materials necessitates the development of the causal models for the property emergence. While in classical physical paradigm the causal relationships are deduced based on the physical principles or via…

Dynamic causal discovery in wireless networks is essential due to evolving interference, fading, and mobility, which complicate traditional static causal models. This paper addresses causal inference challenges in dynamic fading wireless…

Machine Learning · Computer Science 2025-11-11 Oluwaseyi Giwa

We introduce the problem of active causal structure learning with advice. In the typical well-studied setting, the learning algorithm is given the essential graph for the observational distribution and is asked to recover the underlying…

Machine Learning · Computer Science 2023-06-01 Davin Choo , Themis Gouleakis , Arnab Bhattacharyya

The aim in many sciences is to understand the mechanisms that underlie the observed distribution of variables, starting from a set of initial hypotheses. Causal discovery allows us to infer mechanisms as sets of cause and effect…

Machine Learning · Computer Science 2025-03-05 Ashka Shah , Adela DePavia , Nathaniel Hudson , Ian Foster , Rick Stevens

Algorithms for constraint-based causal discovery select graphical causal models among a space of possible candidates (e.g., all directed acyclic graphs) by executing a sequence of conditional independence tests. These may be used to inform…

Methodology · Statistics 2025-09-19 Ting-Hsuan Chang , Zijian Guo , Daniel Malinsky

We consider the problem of learning the structure of a causal directed acyclic graph (DAG) model in the presence of latent variables. We define latent factor causal models (LFCMs) as a restriction on causal DAG models with latent variables,…

Methodology · Statistics 2022-07-06 Chandler Squires , Annie Yun , Eshaan Nichani , Raj Agrawal , Caroline Uhler