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This paper demonstrates how to discover the whole causal graph from the second derivative of the log-likelihood in observational non-linear additive Gaussian noise models. Leveraging scalable machine learning approaches to approximate the…

Machine Learning · Computer Science 2023-04-10 Francesco Montagna , Nicoletta Noceti , Lorenzo Rosasco , Kun Zhang , Francesco Locatello

Score-based approaches in the structure learning task are thriving because of their scalability. Continuous relaxation has been the key reason for this advancement. Despite achieving promising outcomes, most of these methods are still…

Machine Learning · Computer Science 2023-09-07 Quang-Duy Tran , Phuoc Nguyen , Bao Duong , Thin Nguyen

Learning the directed acyclic graph (DAG) structure of a Bayesian network from observational data is a notoriously difficult problem for which many hardness results are known. In this paper we propose a provably polynomial-time algorithm…

Machine Learning · Computer Science 2019-06-04 Asish Ghoshal , Jean Honorio

We consider the problem of learning causal information between random variables in directed acyclic graphs (DAGs) when allowing arbitrarily many latent and selection variables. The FCI (Fast Causal Inference) algorithm has been explicitly…

Methodology · Statistics 2012-05-30 Diego Colombo , Marloes H. Maathuis , Markus Kalisch , Thomas S. Richardson

Recently directed acyclic graph (DAG) structure learning is formulated as a constrained continuous optimization problem with continuous acyclicity constraints and was solved iteratively through subproblem optimization. To further improve…

Machine Learning · Computer Science 2021-06-15 Yue Yu , Tian Gao , Naiyu Yin , Qiang Ji

Social science theories often postulate causal relationships among a set of variables or events. Although directed acyclic graphs (DAGs) are increasingly used to represent these theories, their full potential has not yet been realized in…

Machine Learning · Statistics 2024-01-17 Sourabh Balgi , Adel Daoud , Jose M. Peña , Geoffrey T. Wodtke , Jesse Zhou

In many application areas---lending, education, and online recommenders, for example---fairness and equity concerns emerge when a machine learning system interacts with a dynamically changing environment to produce both immediate and…

Machine Learning · Computer Science 2020-07-07 Elliot Creager , David Madras , Toniann Pitassi , Richard Zemel

Some temporal networks, most notably citation networks, are naturally represented as directed acyclic graphs (DAGs). To detect communities in DAGs, we propose a modularity for DAGs by defining an appropriate null model (i.e., randomized…

Physics and Society · Physics 2015-08-13 Leo Speidel , Taro Takaguchi , Naoki Masuda

Causal graphs, such as directed acyclic graphs (DAGs) and partial ancestral graphs (PAGs), represent causal relationships among variables in a model. Methods exist for learning DAGs and PAGs from data and for converting DAGs to PAGs.…

Machine Learning · Statistics 2018-01-19 Nishant Subramani

We present a graph-based technique for estimating sparse covariance matrices and their inverses from high-dimensional data. The method is based on learning a directed acyclic graph (DAG) and estimating parameters of a multivariate Gaussian…

Methodology · Statistics 2010-01-18 Philipp Rütimann , Peter Bühlmann

Cluster DAGs (C-DAGs) provide an abstraction of causal graphs in which nodes represent clusters of variables, and edges encode both cluster-level causal relationships and dependencies arisen from unobserved confounding. C-DAGs define an…

Artificial Intelligence · Computer Science 2025-11-04 Clément Yvernes , Emilie Devijver , Adèle H. Ribeiro , Marianne Clausel--Lesourd , Éric Gaussier

We propose a fully Bayesian approach for causal inference with multivariate categorical data based on staged tree models, a class of probabilistic graphical models capable of representing asymmetric and context-specific dependencies. To…

Methodology · Statistics 2025-11-06 Andrea Cremaschi , Manuele Leonelli , Gherardo Varando

Causal discovery from observational data is a challenging task that can only be solved up to a set of equivalent solutions, called an equivalence class. Such classes, which are often large in size, encode uncertainties about the orientation…

Machine Learning · Computer Science 2022-03-01 Philippe Brouillard , Perouz Taslakian , Alexandre Lacoste , Sebastien Lachapelle , Alexandre Drouin

We study the problem of reducing test-time acquisition costs in classification systems. Our goal is to learn decision rules that adaptively select sensors for each example as necessary to make a confident prediction. We model our system as…

Machine Learning · Statistics 2015-10-27 Joseph Wang , Kirill Trapeznikov , Venkatesh Saligrama

Learning DAG or Bayesian network models is an important problem in multi-variate causal inference. However, a number of challenges arises in learning large-scale DAG models including model identifiability and computational complexity since…

Machine Learning · Statistics 2017-05-01 Gunwoong Park , Garvesh Raskutti

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

This paper concerns the assessment of direct causal effects from a combination of: (i) non-experimental data, and (ii) qualitative domain knowledge. Domain knowledge is encoded in the form of a directed acyclic graph (DAG), in which all…

Artificial Intelligence · Computer Science 2013-01-07 Carlos Brito , Judea Pearl

We consider the PC-algorithm Spirtes et. al. (2000) for estimating the skeleton of a very high-dimensional acyclic directed graph (DAG) with corresponding Gaussian distribution. The PC-algorithm is computationally feasible for sparse…

Statistics Theory · Mathematics 2007-06-13 Markus Kalisch , Peter Buehlmann

The search space of Bayesian Network structures is usually defined as Acyclic Directed Graphs (DAGs) and the search is done by local transformations of DAGs. But the space of Bayesian Networks is ordered by DAG Markov model inclusion and it…

Machine Learning · Computer Science 2013-01-14 Tomas Kocka , Robert Castelo

Identifying causal structure is central to many fields ranging from strategic decision-making to biology and economics. In this work, we propose CD-UCT, a model-based reinforcement learning method for causal discovery based on tree search…

Machine Learning · Computer Science 2024-02-14 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi
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