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Relational Structural Causal Models

The paper extends structural causal models to relational settings where objects and relations vary, enabling reasoning about interventions and counterfactuals across unseen object combinations. It defines relational causal graphs, derives symbolic identification criteria, and proposes relational neural causal models.

SourcearXiv AIAuthor: Adiba Ejaz, Elias Bareinboim

[2606.14892] Relational Structural Causal Models

[Submitted on 12 Jun 2026]

Title:Relational Structural Causal Models

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Abstract:An artificial intelligence must have a model of its environment that is causal, supporting reasoning about interventions and counterfactuals, and also combinatorial, supporting generalization to unseen combinations of objects. In this work, we formally study when and how such a model can be learned. We develop relational structural causal models, extending structural causal models (Pearl 2009) to settings where objects and their relations vary. First, we show how answers to not only causal but also observational queries about unseen combinations of objects can not be identified without further assumptions. To enable such identification--including in the presence of unobserved confounding--we define relational causal graphs and derive symbolic identification criteria. Finally, we propose relational neural causal models, a provably correct approach that outperforms non-relational baselines on simulated traffic scenes with varying cars, signals, and pedestrians.

Comments: Proceedings of the Forty-Third International Conference on Machine Learning

Subjects:

Artificial Intelligence (cs.AI); Machine Learning (cs.LG); Social and Information Networks (cs.SI); Machine Learning (stat.ML)

Cite as: arXiv:2606.14892 [cs.AI]

(or arXiv:2606.14892v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2606.14892

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Adiba Ejaz [view email] [v1] Fri, 12 Jun 2026 18:54:06 UTC (2,113 KB)

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