Restricted Hidden Cardinality Constraints in Causal Models

• URL: http://arxiv.org/abs/2109.05656v1
• Date: Mon, 13 Sep 2021 00:52:08 GMT
• Title: Restricted Hidden Cardinality Constraints in Causal Models
• Authors: Beata Zjawin, Elie Wolfe, Robert W. Spekkens
• Abstract summary: Causal models with unobserved variables impose nontrivial constraints on the distributions over the observed variables. We consider causal models with a promise that unobserved variables have known cardinalities.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Causal models with unobserved variables impose nontrivial constraints on the distributions over the observed variables. When a common cause of two variables is unobserved, it is impossible to uncover the causal relation between them without making additional assumptions about the model. In this work, we consider causal models with a promise that unobserved variables have known cardinalities. We derive inequality constraints implied by d-separation in such models. Moreover, we explore the possibility of leveraging this result to study causal influence in models that involve quantum systems.

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