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Using both observational and experimental data, a causal discovery process can identify the causal relationships between variables. A unique adaptive intervention design paradigm is presented in this work, where causal directed acyclic…

Machine Learning · Computer Science 2025-05-12 Abdelmonem Elrefaey , Rong Pan

There has been increasing interest in modelling survival data using deep learning methods in medical research. Current approaches have focused on designing special cost functions to handle censored survival data. We propose a very different…

Machine Learning · Statistics 2020-03-12 Lili Zhao , Dai Feng

Bayesian networks are probabilistic graphical models widely employed to understand dependencies in high dimensional data, and even to facilitate causal discovery. Learning the underlying network structure, which is encoded as a directed…

Machine Learning · Statistics 2022-02-03 Jack Kuipers , Polina Suter , Giusi Moffa

The paper concerns the problem of predicting the effect of actions or interventions on a system from a combination of (i) statistical data on a set of observed variables, and (ii) qualitative causal knowledge encoded in the form of a…

Artificial Intelligence · Computer Science 2012-07-02 Carlos Brito , Judea Pearl

Bayesian networks represent relations between variables using a directed acyclic graph (DAG). Learning the DAG is an NP-hard problem and exact learning algorithms are feasible only for small sets of variables. We propose two scalable…

Machine Learning · Computer Science 2021-07-02 Pierre Gillot , Pekka Parviainen

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

Scientists often use directed acyclic graphs (days) to model the qualitative structure of causal theories, allowing the parameters to be estimated from observational data. Two causal models are equivalent if there is no experiment which…

Artificial Intelligence · Computer Science 2013-04-05 Tom S. Verma , Judea Pearl

Inferring the causal relationships among a set of variables in the form of a directed acyclic graph (DAG) is an important but notoriously challenging problem. Recently, advancements in high-throughput genomic perturbation screens have…

Machine Learning · Computer Science 2025-10-03 Seong Woo Han , Daniel Duy Vo , Brielin C. Brown

Random directed acyclic graphs (DAGs) based on imposing an order on Erd\H{o}s-R\'enyi and scale free random graphs are widely used for evaluating causal discovery algorithms. We show that in such DAGs, the set of nodes reachable via open…

Methodology · Statistics 2026-05-08 Alexander G. Reisach , Antoine Chambaz , Gilles Blanchard , Sebastian Weichwald

We consider the problem of recovering the true causal structure among a set of variables, generated by a linear acyclic structural equation model (SEM) with the error terms being independent, not necessarily Gaussian, and having equal…

Statistics Theory · Mathematics 2026-03-25 Anamitra Chaudhuri , Yang Ni , Anirban Bhattacharya

We make the case for incorporating a notion of time into causal directed acyclic graphs (DAGs). We demonstrate that nontemporal causal DAGs are ambiguous and obstruct justification of the acyclicity assumption. Assuming that causes precede…

Methodology · Statistics 2026-04-22 Alexander G. Reisach , Alberto Suárez , Sebastian Weichwald , Antoine Chambaz

Artificial Neural Networks (ANNs), including fully-connected networks and transformers, are highly flexible and powerful function approximators, widely applied in fields like computer vision and natural language processing. However, their…

Machine Learning · Computer Science 2026-01-28 Matthew J. Vowels , Mathieu Rochat , Sina Akbari

We consider the problem of learning causal Directed Acyclic Graphs (DAGs) using combinations of observational and interventional experimental data. Current methods tailored to this setting assume that interventions either destroy…

Methodology · Statistics 2023-12-04 Alessandro Mascaro , Federico Castelletti

This paper introduces a new framework for recovering causal graphs from observational data, leveraging the observation that the distribution of an effect, conditioned on its causes, remains invariant to changes in the prior distribution of…

Machine Learning · Computer Science 2026-02-04 Nang Hung Nguyen , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang , Masashi Sugiyama

Bayesian causal structure learning aims to learn a posterior distribution over directed acyclic graphs (DAGs), and the mechanisms that define the relationship between parent and child variables. By taking a Bayesian approach, it is possible…

Machine Learning · Computer Science 2024-06-04 Mizu Nishikawa-Toomey , Tristan Deleu , Jithendaraa Subramanian , Yoshua Bengio , Laurent Charlin

The assumed causal relationships depicted in a DAG are interpreted using a set of rules called D-separation rules. Although these rules can be implemented automatically using standard software, at least a basic understanding of their…

Methodology · Statistics 2025-02-20 Fernando Pires Hartwig , Timothy Feeney , Neil Davies

Discovery of causal relationships from observational data is an important problem in many areas. Several recent results have established the identifiability of causal DAGs with non-Gaussian and/or nonlinear structural equation models…

Machine Learning · Statistics 2020-12-15 Bingling Wang , Qing Zhou

We establish finite-sample guarantees for a polynomial-time algorithm for learning a nonlinear, nonparametric directed acyclic graphical (DAG) model from data. The analysis is model-free and does not assume linearity, additivity,…

Machine Learning · Statistics 2020-11-12 Ming Gao , Yi Ding , Bryon Aragam

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

Discovering the causality from observational data is a crucial task in various scientific domains. With increasing awareness of privacy, data are not allowed to be exposed, and it is very hard to learn causal graphs from dispersed data,…

Machine Learning · Computer Science 2023-12-12 Dezhi Yang , Xintong He , Jun Wang , Guoxian Yu , Carlotta Domeniconi , Jinglin Zhang
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