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This paper introduces GO-CBED, a novel framework for sequential causal experimental design that uses transformer-based policies to maximize information gain on specific user-defined quantities rather than inferring full models. By employing variational estimators, the method enables real-time decision-making and demonstrates superior efficiency in complex scenarios with limited experimental budgets. It represents a significant advancement in aligning machine learning methodologies with targeted scientific inquiry goals.
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Goal-Oriented Sequential Bayesian Experimental Design for Causal Learning

arXiv2 min read

arXiv:2507.07359v2 Announce Type: replace-cross Abstract: We present GO-CBED, a goal-oriented Bayesian framework for sequential causal experimental design. Unlike conventional approaches that select interventions aimed at inferring the full causal model, GO-CBED directly maximizes the expected information gain (EIG) on user-specified causal quantities of interest, enabling more targeted and efficient experimentation. The framework is both non-myopic, optimizing over entire intervention sequences, and goal-oriented, targeting only model aspects relevant to the causal query. To address the intractability of exact EIG computation, we introduce a variational lower bound estimator, optimized jointly through a transformer-based policy network and normalizing flow-based variational posteriors. The resulting policy enables real-time decision-making via an amortized network. We demonstrate that GO-CBED consistently outperforms existing baselines across various causal reasoning and discovery tasks-including synthetic structural causal models and semi-synthetic gene regulatory networks-particularly in settings with limited experimental budgets and complex causal mechanisms. Our results highlight the benefits of aligning experimental design objectives with specific research goals and of forward-looking sequential planning.

Abstract:We present GO-CBED, a goal-oriented Bayesian framework for sequential causal experimental design. Unlike conventional approaches that select interventions aimed at inferring the full causal model, GO-CBED directly maximizes the expected information gain (EIG) on user-specified causal quantities of interest, enabling more targeted and efficient experimentation. The framework is both non-myopic, optimizing over entire intervention sequences, and goal-oriented, targeting only model aspects relevant to the causal query. To address the intractability of exact EIG computation, we introduce a variational lower bound estimator, optimized jointly through a transformer-based policy network and normalizing flow-based variational posteriors. The resulting policy enables real-time decision-making via an amortized network. We demonstrate that GO-CBED consistently outperforms existing baselines across various causal reasoning and discovery tasks-including synthetic structural causal models and semi-synthetic gene regulatory networks-particularly in settings with limited experimental budgets and complex causal mechanisms. Our results highlight the benefits of aligning experimental design objectives with specific research goals and of forward-looking sequential planning.

Published in Transactions on Machine Learning Research (TMLR), 09/2026. 38 pages, 26 figures, 5 tables

Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Methodology (stat.ME); Machine Learning (stat.ML)

arXiv:2507.07359 [cs.LG]

(or arXiv:2507.07359v2 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2507.07359 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 271 words