Experimental Design for Cost-Aware Learning of Causal Graphs
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Abstract (arXiv)
We consider the minimum cost intervention design problem: Given the essential graph of a causal graph and a cost to intervene on a variable, identify the set of interventions with minimum total cost that can learn any causal graph with the given essential graph. We first show that this problem is NP-hard. We then prove that we can achieve a constant factor approximation to this problem with a greedy algorithm. We then constrain the sparsity of each intervention. We develop an algorithm that returns an intervention design that is nearly optimal in terms of size for sparse graphs with sparse interventions and we discuss how to use it when there are costs on the vertices.
Key facts. Cited by 25 papers in the map (data through 14 Oct 2026). First posted on arXiv 28 Oct 2018.
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Citing papers per year: 2021: 5; 2022: 8; 2023: 4; 2024: 5; 2025: 1; 2026: 2.
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- 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
- 2022Trustworthy Reinforcement Learning Against Intrinsic Vulnerabilities: Robustness, Safety, and Generalizabilitycited by 36
- 2022Generalizing Goal-Conditioned Reinforcement Learning with Variational Causal Reasoningcited by 34
- 2022Adaptively Exploiting d-Separators with Causal Banditscited by 18
- 2022Verification and search algorithms for causal DAGscited by 18
- 2021Near-Optimal Multi-Perturbation Experimental Design for Causal Structure Learningcited by 17
- 2023Differentiable Multi-Target Causal Bayesian Experimental Designcited by 15
- 2023Subset verification and search algorithms for causal DAGscited by 12
- 2023Active causal structure learning with advicecited by 10
- 2022A Unified Experiment Design Approach for Cyclic and Acyclic Causal Modelscited by 7
13 more
- 2021Collaborative Causal Discovery with Atomic Interventionscited by 5
- 2022Trust Your nabla: Gradient-based Intervention Targeting for Causal Discoverycited by 5
- 2024Confounded Budgeted Causal Banditscited by 4
- 2024Sample Efficient Bayesian Learning of Causal Graphs from Interventionscited by 4
- 2023New metrics and search algorithms for weighted causal DAGscited by 3
- 2024Interventional Causal Discovery in a Mixture of DAGscited by 3
- 2021Active Learning of Continuous-time Bayesian Networks through Interventionscited by 2
- 2022Experimental Design for Causal Effect Identificationcited by 2
- 2024Causal Discovery under Off-Target Interventionscited by 2
- 2024Bayesian Intervention Optimization for Causal Discoverycited by 0
- 2025From Observation to Orientation: an Adaptive Integer Programming Approach to Intervention Designcited 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
- 2025From Observation to Orientation: an Adaptive Integer Programming Approach to Intervention Design4 Apr 2025
- 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 Discovery under Off-Target Interventions13 Feb 2024
- 2024Confounded Budgeted Causal Bandits15 Jan 2024
- 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
- 2023Subset verification and search algorithms for causal DAGs9 Jan 2023
13 more
- 2022Trust Your nabla: Gradient-based Intervention Targeting for Causal Discovery24 Nov 2022
- 2022Trustworthy Reinforcement Learning Against Intrinsic Vulnerabilities: Robustness, Safety, and Generalizability16 Sep 2022
- 2022Generalizing Goal-Conditioned Reinforcement Learning with Variational Causal Reasoning19 Jul 2022
- 2022Verification and search algorithms for causal DAGs30 Jun 2022
- 2022Causal Structure Learning: a Combinatorial Perspective2 Jun 2022
- 2022A Unified Experiment Design Approach for Cyclic and Acyclic Causal Models20 May 2022
- 2022Experimental Design for Causal Effect Identification4 May 2022
- 2022Adaptively Exploiting d-Separators with Causal Bandits10 Feb 2022
- 2021Learning Neural Causal Models with Active Interventions6 Sep 2021
- 2021Collaborative Causal Discovery with Atomic Interventions6 Jun 2021
- 2021Causal Bandits with Unknown Graph Structure5 Jun 2021
- 2021Active Learning of Continuous-time Bayesian Networks through Interventions31 May 2021
- 2021Near-Optimal Multi-Perturbation Experimental Design for Causal Structure Learning28 May 2021
- 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
- 2022Trustworthy Reinforcement Learning Against Intrinsic Vulnerabilities: Robustness, Safety, and Generalizabilitycited by 36
- 2022Adaptively Exploiting d-Separators with Causal Banditscited by 18
- 2022Verification and search algorithms for causal DAGscited by 18
- 2021Near-Optimal Multi-Perturbation Experimental Design for Causal Structure Learningcited by 17
- 2023Differentiable Multi-Target Causal Bayesian Experimental Designcited by 15
- 2023Subset verification and search algorithms for causal DAGscited by 12
- 2023Active causal structure learning with advicecited by 10
- 2022A Unified Experiment Design Approach for Cyclic and Acyclic Causal Modelscited by 7
- 2021Collaborative Causal Discovery with Atomic Interventionscited by 5
12 most cited of 24 All 24 (JSON)
- 2026Certifying Interventional Agreement Among Observationally Equivalent Causal Models26 Sep 2026
- 2026FOCUS: Fixed-Confidence Online Causal Learning Using Sequential Adaptive Interventions26 Sep 2026
- 2025From Observation to Orientation: an Adaptive Integer Programming Approach to Intervention Design4 Apr 2025
- 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 Discovery under Off-Target Interventions13 Feb 2024
- 2024Confounded Budgeted Causal Bandits15 Jan 2024
- 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
- 2023Subset verification and search algorithms for causal DAGs9 Jan 2023
12 newest of 24 All 24 (JSON)