Identifying Best Interventions through Online Importance Sampling
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Abstract (arXiv)
Motivated by applications in computational advertising and systems biology, we consider the problem of identifying the best out of several possible soft interventions at a source node V in an acyclic causal directed graph, to maximize the expected value of a target node Y (located downstream of V). Our setting imposes a fixed total budget for sampling under various interventions, along with cost constraints on different types of interventions. We pose this as a best arm identification bandit problem with K arms where each arm is a soft intervention at V, and leverage the information leakage among the arms to provide the first gap dependent error and simple regret bounds for this problem. Our results are a significant improvement over the traditional best arm identification results. We empirically show that our algorithms outperform the state of the art in the Flow Cytometry data-set, and also apply our algorithm for model interpretation of the Inception-v3 deep net that classifies images.
Key facts. Cited by 39 papers in the map (data through 7 Oct 2026). First posted on arXiv 10 Jan 2017.
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Citing papers per year: 2019: 1; 2020: 0; 2021: 8; 2022: 7; 2023: 8; 2024: 7; 2025: 3; 2026: 5.
39 papers.
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- 2019Causal Confusion in Imitation Learningcited by 286
- 2023A Survey on Causal Reinforcement Learningcited by 43
- 2021Causal Bandits with Unknown Graph Structurecited by 37
- 2022Active Learning for Optimal Intervention Design in Causal Modelscited by 30
- 2023Causal Reinforcement Learning: A Surveycited by 22
- 2022Causal Bandits for Linear Structural Equation Modelscited by 19
- 2022Adaptively Exploiting d-Separators with Causal Banditscited by 18
- 2022Combinatorial Causal Banditscited by 16
- 2021A Causal Bandit Approach to Learning Good Atomic Interventions in Presence of Unobserved Confounderscited by 15
- 2021Achieving Counterfactual Fairness for Causal Banditcited by 15
- 2021Bandit Algorithms for Precision Medicinecited by 12
- 2023Causal Bandits without Graph Learningcited by 10
27 more
- 2022Combinatorial Pure Exploration of Causal Banditscited by 9
- 2021Causal Markov Decision Processes: Learning Good Interventions Efficientlycited by 7
- 2023Combinatorial Causal Bandits without Graph Skeletoncited by 7
- 2024Causal Bandits with General Causal Models and Interventionscited by 7
- 2023Learning Good Interventions in Causal Graphs via Coveringcited by 5
- 2023Exploiting Causal Graph Priors with Posterior Sampling for Reinforcement Learningcited by 5
- 2024Linear Causal Bandits: Unknown Graph and Soft Interventionscited by 5
- 2024Partial Structure Discovery is Sufficient for No-regret Learning in Causal Banditscited by 5
- 2022Linear Combinatorial Semi-Bandit with Causally Related Rewardscited by 4
- 2022Causal Deep Reinforcement Learning Using Observational Datacited by 3
- 2024Improved Bound for Robust Causal Bandits with Linear Modelscited by 2
- 2024Causal Bandits: The Pareto Optimal Frontier of Adaptivity, a Reduction to Linear Bandits, and Limitations around Unknown Marginalscited by 2
- 2025Graph Learning Is Suboptimal in Causal Banditscited by 2
- 2021Intervention Efficient Algorithm for Two-Stage Causal MDPscited by 1
- 2023Non-stationary Delayed Combinatorial Semi-Bandit with Causally Related Rewardscited by 1
- 2024Why Online Reinforcement Learning is Causalcited by 1
- 2024Causal Contextual Bandits with Adaptive Contextcited by 1
- 2025Causal Bandit Over Unknown Graphs: Upper Confidence Bounds With Backdoor Adjustmentcited by 1
- 2025The Minimal Search Space for Conditional Causal Banditscited by 1
- 2021Bandits with Stochastic Experts: Constant Regret, Empirical Experts and Episodescited by 0
- 2021Identifying Best Fair Interventioncited by 0
- 2023Optimal Observation-Intervention Trade-Off in Optimisation Problems with Causal Structurecited by 0
- 2026Integrating Causal DAGs in Deep RL: Activating Minimal Markovian States with Multi-Order Exposurecited by 0
- 2026Non-Parametric Rehearsal Learning via Conditional Mean Embeddingscited by 0
- 2026Causal Intelligence for Constraint-Aware Intervention Design to Induce State Transitionscited by 0
- 2026Information-Directed Sampling for Causal Banditscited by 0
- 2026Minimax Optimal Regret for Causal Logistic Bandits with Counterfactual Fairnesscited by 0
- 2026Minimax Optimal Regret for Causal Logistic Bandits with Counterfactual Fairness1 Oct 2026
- 2026Information-Directed Sampling for Causal Bandits17 Jul 2026
- 2026Causal Intelligence for Constraint-Aware Intervention Design to Induce State Transitions27 May 2026
- 2026Non-Parametric Rehearsal Learning via Conditional Mean Embeddings9 May 2026
- 2026Integrating Causal DAGs in Deep RL: Activating Minimal Markovian States with Multi-Order Exposure8 May 2026
- 2025Graph Learning Is Suboptimal in Causal Bandits19 Oct 2025
- 2025The Minimal Search Space for Conditional Causal Bandits10 Feb 2025
- 2025Causal Bandit Over Unknown Graphs: Upper Confidence Bounds With Backdoor Adjustment4 Feb 2025
- 2024Partial Structure Discovery is Sufficient for No-regret Learning in Causal Bandits6 Nov 2024
- 2024Linear Causal Bandits: Unknown Graph and Soft Interventions4 Nov 2024
- 2024Causal Bandits: The Pareto Optimal Frontier of Adaptivity, a Reduction to Linear Bandits, and Limitations around Unknown Marginals1 Jul 2024
- 2024Causal Contextual Bandits with Adaptive Context28 May 2024
27 more
- 2024Improved Bound for Robust Causal Bandits with Linear Models13 May 2024
- 2024Why Online Reinforcement Learning is Causal7 Mar 2024
- 2024Causal Bandits with General Causal Models and Interventions1 Mar 2024
- 2023Exploiting Causal Graph Priors with Posterior Sampling for Reinforcement Learning11 Oct 2023
- 2023Optimal Observation-Intervention Trade-Off in Optimisation Problems with Causal Structure5 Sep 2023
- 2023Non-stationary Delayed Combinatorial Semi-Bandit with Causally Related Rewards18 Jul 2023
- 2023Causal Reinforcement Learning: A Survey4 Jul 2023
- 2023Learning Good Interventions in Causal Graphs via Covering8 May 2023
- 2023A Survey on Causal Reinforcement Learning10 Feb 2023
- 2023Combinatorial Causal Bandits without Graph Skeleton31 Jan 2023
- 2023Causal Bandits without Graph Learning26 Jan 2023
- 2022Linear Combinatorial Semi-Bandit with Causally Related Rewards25 Dec 2022
- 2022Causal Deep Reinforcement Learning Using Observational Data28 Nov 2022
- 2022Active Learning for Optimal Intervention Design in Causal Models10 Sep 2022
- 2022Causal Bandits for Linear Structural Equation Models26 Aug 2022
- 2022Combinatorial Pure Exploration of Causal Bandits16 Jun 2022
- 2022Combinatorial Causal Bandits4 Jun 2022
- 2022Adaptively Exploiting d-Separators with Causal Bandits10 Feb 2022
- 2021Identifying Best Fair Intervention8 Nov 2021
- 2021Intervention Efficient Algorithm for Two-Stage Causal MDPs1 Nov 2021
- 2021Achieving Counterfactual Fairness for Causal Bandit21 Sep 2021
- 2021Bandit Algorithms for Precision Medicine10 Aug 2021
- 2021Bandits with Stochastic Experts: Constant Regret, Empirical Experts and Episodes7 Jul 2021
- 2021A Causal Bandit Approach to Learning Good Atomic Interventions in Presence of Unobserved Confounders6 Jul 2021
- 2021Causal Bandits with Unknown Graph Structure5 Jun 2021
- 2021Causal Markov Decision Processes: Learning Good Interventions Efficiently15 Feb 2021
- 2019Causal Confusion in Imitation Learning28 May 2019
- 2019Causal Confusion in Imitation Learningcited by 286
- 2024Why Online Reinforcement Learning is Causalcited by 1
- 2024Why Online Reinforcement Learning is Causal7 Mar 2024
- 2019Causal Confusion in Imitation Learning28 May 2019
- 2023A Survey on Causal Reinforcement Learningcited by 43
- 2021Causal Bandits with Unknown Graph Structurecited by 37
- 2022Active Learning for Optimal Intervention Design in Causal Modelscited by 30
- 2023Causal Reinforcement Learning: A Surveycited by 22
- 2022Causal Bandits for Linear Structural Equation Modelscited by 19
- 2022Adaptively Exploiting d-Separators with Causal Banditscited by 18
- 2022Combinatorial Causal Banditscited by 16
- 2021A Causal Bandit Approach to Learning Good Atomic Interventions in Presence of Unobserved Confounderscited by 15
- 2021Achieving Counterfactual Fairness for Causal Banditcited by 15
- 2021Bandit Algorithms for Precision Medicinecited by 12
- 2023Causal Bandits without Graph Learningcited by 10
- 2022Combinatorial Pure Exploration of Causal Banditscited by 9
12 most cited of 37 All 37 (JSON)
- 2026Minimax Optimal Regret for Causal Logistic Bandits with Counterfactual Fairness1 Oct 2026
- 2026Information-Directed Sampling for Causal Bandits17 Jul 2026
- 2026Causal Intelligence for Constraint-Aware Intervention Design to Induce State Transitions27 May 2026
- 2026Non-Parametric Rehearsal Learning via Conditional Mean Embeddings9 May 2026
- 2026Integrating Causal DAGs in Deep RL: Activating Minimal Markovian States with Multi-Order Exposure8 May 2026
- 2025Graph Learning Is Suboptimal in Causal Bandits19 Oct 2025
- 2025The Minimal Search Space for Conditional Causal Bandits10 Feb 2025
- 2025Causal Bandit Over Unknown Graphs: Upper Confidence Bounds With Backdoor Adjustment4 Feb 2025
- 2024Partial Structure Discovery is Sufficient for No-regret Learning in Causal Bandits6 Nov 2024
- 2024Linear Causal Bandits: Unknown Graph and Soft Interventions4 Nov 2024
- 2024Causal Bandits: The Pareto Optimal Frontier of Adaptivity, a Reduction to Linear Bandits, and Limitations around Unknown Marginals1 Jul 2024
- 2024Causal Contextual Bandits with Adaptive Context28 May 2024
12 newest of 37 All 37 (JSON)