Cost-Optimal Learning of Causal Graphs
Not on the map. Why?
Abstract (arXiv)
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 interventions with minimum total cost, that can uniquely identify any causal graph with the given skeleton. We show that this problem is solvable in polynomial time. Later, we consider the case when the number of interventions is limited. For this case, we provide polynomial time algorithms when the skeleton is a tree or a clique tree. For a general chordal skeleton, we develop an efficient greedy algorithm, which can be improved when the causal graph skeleton is an interval graph.
Key facts. Cited by 44 papers in the map (data through 7 Oct 2026). First posted on arXiv 8 Mar 2017.
Builds on
No reference list yet.
Built on by
Citing papers per year: 2021: 6; 2022: 9; 2023: 8; 2024: 8; 2025: 9; 2026: 4.
44 papers.
Sort:
- 2022Interventions, Where and How? Experimental Design for Causal Models at Scalecited by 49
- 2022Causal Structure Learning: a Combinatorial Perspectivecited by 46
- 2021Learning Neural Causal Models with Active Interventionscited by 40
- 2021Causal Bandits with Unknown Graph Structurecited by 37
- 2022Evaluation Methods and Measures for Causal Learning Algorithmscited by 23
- 2022Adaptively Exploiting d-Separators with Causal Banditscited by 18
- 2022Verification and search algorithms for causal DAGscited by 18
- 2023Identifying Linearly-Mixed Causal Representations from Multi-Node Interventionscited by 18
- 2021Near-Optimal Multi-Perturbation Experimental Design for Causal Structure Learningcited by 17
- 2021Matching a Desired Causal State via Shift Interventionscited by 16
- 2023Differentiable Multi-Target Causal Bayesian Experimental Designcited by 15
- 2022Causal Entropy Optimizationcited by 13
32 more
- 2023Subset verification and search algorithms for causal DAGscited by 12
- 2023Active causal structure learning with advicecited by 10
- 2023DAG Learning on the Permutahedroncited by 9
- 2025When Selection Meets Intervention: Additional Complexities in Causal Discoverycited by 9
- 2022A Unified Experiment Design Approach for Cyclic and Acyclic Causal Modelscited by 7
- 2022Sample Constrained Treatment Effect Estimationcited by 7
- 2023Adaptivity Complexity for Causal Graph Discoverycited by 7
- 2025Gene Regulatory Network Inference in the Presence of Selection Bias and Latent Confounderscited by 6
- 2024Adaptive Online Experimental Design for Causal Discoverycited by 5
- 2024Confounded Budgeted Causal Banditscited by 4
- 2024Sample Efficient Bayesian Learning of Causal Graphs from Interventionscited by 4
- 2025Near-Optimal Experiment Design in Linear non-Gaussian Cyclic Modelscited by 4
- 2023New metrics and search algorithms for weighted causal DAGscited by 3
- 2023Meek Separators and Their Applications in Targeted Causal Discoverycited by 3
- 2024Interventional Causal Discovery in a Mixture of DAGscited by 3
- 2021Universal Lower Bound for Learning Causal DAGs with Atomic Interventionscited by 2
- 2024Causal Discovery under Off-Target Interventionscited by 2
- 2025Characterization and Learning of Causal Graphs with Latent Confounders and Post-treatment Selection from Interventional Datacited by 2
- 2021Intervention Efficient Algorithm for Two-Stage Causal MDPscited by 1
- 2024Causal Contextual Bandits with Adaptive Contextcited by 1
- 2024Graph Agnostic Causal Bayesian Optimisationcited by 1
- 2025Goal-Oriented Sequential Bayesian Experimental Design for Causal Learningcited by 1
- 2022Fast Causal Orientation Learning in Directed Acyclic Graphscited by 0
- 2024Bayesian Intervention Optimization for Causal Discoverycited by 0
- 2025Sample Complexity of Nonparametric Closeness Testing for Continuous Distributions and Its Application to Causal Discovery with Hidden Confoundingcited by 0
- 2025From Observation to Orientation: an Adaptive Integer Programming Approach to Intervention Designcited by 0
- 2025Design of Experiment for Discovering Directed Mixed Graphcited by 0
- 2025Theoretical Guarantees for Causal Discovery on Large Random Graphscited by 0
- 2026Non-Parametric Rehearsal Learning via Conditional Mean Embeddingscited by 0
- 2026Towards a holistic understanding of Selection Bias for Causal Effect Identificationcited by 0
- 2026FOCUS: Fixed-Confidence Online Causal Learning Using Sequential Adaptive Interventionscited by 0
- 2026Certifying Interventional Agreement Among Observationally Equivalent Causal Modelscited by 0
- 2026Certifying Interventional Agreement Among Observationally Equivalent Causal Models26 Sep 2026
- 2026FOCUS: Fixed-Confidence Online Causal Learning Using Sequential Adaptive Interventions26 Sep 2026
- 2026Towards a holistic understanding of Selection Bias for Causal Effect Identification13 May 2026
- 2026Non-Parametric Rehearsal Learning via Conditional Mean Embeddings9 May 2026
- 2025Theoretical Guarantees for Causal Discovery on Large Random Graphs4 Nov 2025
- 2025Characterization and Learning of Causal Graphs with Latent Confounders and Post-treatment Selection from Interventional Data30 Sep 2025
- 2025Near-Optimal Experiment Design in Linear non-Gaussian Cyclic Models25 Sep 2025
- 2025Design of Experiment for Discovering Directed Mixed Graph2 Sep 2025
- 2025Goal-Oriented Sequential Bayesian Experimental Design for Causal Learning10 Jul 2025
- 2025From Observation to Orientation: an Adaptive Integer Programming Approach to Intervention Design4 Apr 2025
- 2025Sample Complexity of Nonparametric Closeness Testing for Continuous Distributions and Its Application to Causal Discovery with Hidden Confounding10 Mar 2025
- 2025When Selection Meets Intervention: Additional Complexities in Causal Discovery10 Mar 2025
32 more
- 2025Gene Regulatory Network Inference in the Presence of Selection Bias and Latent Confounders17 Jan 2025
- 2024Graph Agnostic Causal Bayesian Optimisation5 Nov 2024
- 2024Sample Efficient Bayesian Learning of Causal Graphs from Interventions26 Oct 2024
- 2024Bayesian Intervention Optimization for Causal Discovery16 Jun 2024
- 2024Interventional Causal Discovery in a Mixture of DAGs12 Jun 2024
- 2024Causal Contextual Bandits with Adaptive Context28 May 2024
- 2024Adaptive Online Experimental Design for Causal Discovery19 May 2024
- 2024Causal Discovery under Off-Target Interventions13 Feb 2024
- 2024Confounded Budgeted Causal Bandits15 Jan 2024
- 2023Identifying Linearly-Mixed Causal Representations from Multi-Node Interventions5 Nov 2023
- 2023Meek Separators and Their Applications in Targeted Causal Discovery30 Oct 2023
- 2023Adaptivity Complexity for Causal Graph Discovery9 Jun 2023
- 2023Active causal structure learning with advice31 May 2023
- 2023New metrics and search algorithms for weighted causal DAGs8 May 2023
- 2023Differentiable Multi-Target Causal Bayesian Experimental Design21 Feb 2023
- 2023DAG Learning on the Permutahedron27 Jan 2023
- 2023Subset verification and search algorithms for causal DAGs9 Jan 2023
- 2022Sample Constrained Treatment Effect Estimation12 Oct 2022
- 2022Causal Entropy Optimization23 Aug 2022
- 2022Verification and search algorithms for causal DAGs30 Jun 2022
- 2022Causal Structure Learning: a Combinatorial Perspective2 Jun 2022
- 2022Fast Causal Orientation Learning in Directed Acyclic Graphs27 May 2022
- 2022A Unified Experiment Design Approach for Cyclic and Acyclic Causal Models20 May 2022
- 2022Interventions, Where and How? Experimental Design for Causal Models at Scale3 Mar 2022
- 2022Adaptively Exploiting d-Separators with Causal Bandits10 Feb 2022
- 2022Evaluation Methods and Measures for Causal Learning Algorithms7 Feb 2022
- 2021Universal Lower Bound for Learning Causal DAGs with Atomic Interventions9 Nov 2021
- 2021Intervention Efficient Algorithm for Two-Stage Causal MDPs1 Nov 2021
- 2021Learning Neural Causal Models with Active Interventions6 Sep 2021
- 2021Matching a Desired Causal State via Shift Interventions5 Jul 2021
- 2021Causal Bandits with Unknown Graph Structure5 Jun 2021
- 2021Near-Optimal Multi-Perturbation Experimental Design for Causal Structure Learning28 May 2021
- 2022Interventions, Where and How? Experimental Design for Causal Models at Scalecited by 49
- 2022Causal Structure Learning: a Combinatorial Perspectivecited by 46
- 2021Learning Neural Causal Models with Active Interventionscited by 40
- 2021Causal Bandits with Unknown Graph Structurecited by 37
- 2022Evaluation Methods and Measures for Causal Learning Algorithmscited by 23
- 2022Adaptively Exploiting d-Separators with Causal Banditscited by 18
- 2022Verification and search algorithms for causal DAGscited by 18
- 2023Identifying Linearly-Mixed Causal Representations from Multi-Node Interventionscited by 18
- 2021Near-Optimal Multi-Perturbation Experimental Design for Causal Structure Learningcited by 17
- 2021Matching a Desired Causal State via Shift Interventionscited by 16
- 2023Differentiable Multi-Target Causal Bayesian Experimental Designcited by 15
- 2022Causal Entropy Optimizationcited by 13
12 most cited of 44 All 44 (JSON)
- 2026Certifying Interventional Agreement Among Observationally Equivalent Causal Models26 Sep 2026
- 2026FOCUS: Fixed-Confidence Online Causal Learning Using Sequential Adaptive Interventions26 Sep 2026
- 2026Towards a holistic understanding of Selection Bias for Causal Effect Identification13 May 2026
- 2026Non-Parametric Rehearsal Learning via Conditional Mean Embeddings9 May 2026
- 2025Theoretical Guarantees for Causal Discovery on Large Random Graphs4 Nov 2025
- 2025Characterization and Learning of Causal Graphs with Latent Confounders and Post-treatment Selection from Interventional Data30 Sep 2025
- 2025Near-Optimal Experiment Design in Linear non-Gaussian Cyclic Models25 Sep 2025
- 2025Design of Experiment for Discovering Directed Mixed Graph2 Sep 2025
- 2025Goal-Oriented Sequential Bayesian Experimental Design for Causal Learning10 Jul 2025
- 2025From Observation to Orientation: an Adaptive Integer Programming Approach to Intervention Design4 Apr 2025
- 2025Sample Complexity of Nonparametric Closeness Testing for Continuous Distributions and Its Application to Causal Discovery with Hidden Confounding10 Mar 2025
- 2025When Selection Meets Intervention: Additional Complexities in Causal Discovery10 Mar 2025
12 newest of 44 All 44 (JSON)