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It is known that from purely observational data, a causal DAG is identifiable only up to its Markov equivalence class, and for many ground truth DAGs, the direction of a large portion of the edges will be remained unidentified. The golden…

Machine Learning · Computer Science 2019-10-15 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash

We consider the problem of learning a causal graph over a set of variables with interventions. We study the cost-optimal causal graph learning problem: For a given skeleton (undirected version of the causal graph), design the set of…

Artificial Intelligence · Computer Science 2017-03-09 Murat Kocaoglu , Alexandros G. Dimakis , Sriram Vishwanath

The investigation of directed acyclic graphs (DAGs) encoding the same Markov property, that is the same conditional independence relations of multivariate observational distributions, has a long tradition; many algorithms exist for model…

Methodology · Statistics 2012-09-27 Alain Hauser , Peter Bühlmann

Causal interactions among a group of variables are often modeled by a single causal graph. In some domains, however, these interactions are best described by multiple co-existing causal graphs, e.g., in dynamical systems or genomics. This…

Machine Learning · Computer Science 2024-12-04 Burak Varıcı , Dmitriy Katz-Rogozhnikov , Dennis Wei , Prasanna Sattigeri , Ali Tajer

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

Markov Networks are widely used through out computer vision and machine learning. An important subclass are the Associative Markov Networks which are used in a wide variety of applications. For these networks a good approximate minimum cost…

Artificial Intelligence · Computer Science 2012-03-19 Chris Russell , L'ubor Ladicky , Pushmeet Kohli , Philip H. S. Torr

We study the problem of causal structure learning when the experimenter is limited to perform at most $k$ non-adaptive experiments of size $1$. We formulate the problem of finding the best intervention target set as an optimization problem,…

Machine Learning · Computer Science 2018-08-03 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash , Elias Bareinboim

Learning causal relations from observational data is a fundamental problem with wide-ranging applications across many fields. Constraint-based methods infer the underlying causal structure by performing conditional independence tests.…

Machine Learning · Computer Science 2026-03-24 Marc Franquesa Monés , Jiaqi Zhang , Caroline Uhler

A well-studied challenge that arises in the structure learning problem of causal directed acyclic graphs (DAG) is that using observational data, one can only learn the graph up to a "Markov equivalence class" (MEC). The remaining undirected…

Machine Learning · Computer Science 2022-05-20 Vibhor Porwal , Piyush Srivastava , Gaurav Sinha

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

In many applications we have both observational and (randomized) interventional data. We propose a Gaussian likelihood framework for joint modeling of such different data-types, based on global parameters consisting of a directed acyclic…

Statistics Theory · Mathematics 2014-06-03 Alain Hauser , Peter Bühlmann

A growing body of work has begun to study intervention design for efficient structure learning of causal directed acyclic graphs (DAGs). A typical setting is a causally sufficient setting, i.e. a system with no latent confounders, selection…

Graphical models based on Directed Acyclic Graphs (DAGs) are widely used to answer causal questions across a variety of scientific and social disciplines. However, observational data alone cannot distinguish in general between DAGs…

Methodology · Statistics 2022-06-03 Federico Castelletti , Guido Consonni

Faced with data-driven policies, individuals will manipulate their features to obtain favorable decisions. While earlier works cast these manipulations as undesirable gaming, recent works have adopted a more nuanced causal framing in which…

Machine Learning · Computer Science 2023-02-22 Tom Yan , Shantanu Gupta , Zachary Lipton

We study the causal bandit problem when the causal graph is unknown and develop an efficient algorithm for finding the parent node of the reward node using atomic interventions. We derive the exact equation for the expected number of…

Machine Learning · Statistics 2023-06-09 Mikhail Konobeev , Jalal Etesami , Negar Kiyavash

The algorithmic Markov condition states that the most likely causal direction between two random variables X and Y can be identified as that direction with the lowest Kolmogorov complexity. Due to the halting problem, however, this notion…

Machine Learning · Computer Science 2017-02-23 Kailash Budhathoki , Jilles Vreeken

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

In observational studies, the true causal model is typically unknown and needs to be estimated from available observational and limited experimental data. In such cases, the learned causal model is commonly represented as a partially…

Artificial Intelligence · Computer Science 2023-03-01 Malte Luttermann , Marcel Wienöbst , Maciej Liśkiewicz

The broad abundance of time series data, which is in sharp contrast to limited knowledge of the underlying network dynamic processes that produce such observations, calls for a rigorous and efficient method of causal network inference. Here…

Information Theory · Computer Science 2015-05-19 Jie Sun , Dane Taylor , Erik M. Bollt

In this paper, the causal bandit problem is investigated, with the objective of maximizing the long-term reward by selecting an optimal sequence of interventions on nodes in an unknown causal graph. It is assumed that both the causal…

Machine Learning · Computer Science 2025-06-30 Chen Peng , Di Zhang , Urbashi Mitra