Decision making, symmetry and structure: Justifying causal interventions

We can use structural causal models (SCMs) to help us evaluate the consequences of actions given data. SCMs identify actions with structural interventions. A careful decision maker may wonder whether this identification is justified. We seek such a justification. We begin with decision models, which...

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Main Authors: Johnston David O., Ong Cheng Soon, Williamson Robert C.
Format: Article
Language:English
Published: De Gruyter 2025-01-01
Series:Journal of Causal Inference
Subjects:
Online Access:https://doi.org/10.1515/jci-2023-0001
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author Johnston David O.
Ong Cheng Soon
Williamson Robert C.
author_facet Johnston David O.
Ong Cheng Soon
Williamson Robert C.
author_sort Johnston David O.
collection DOAJ
description We can use structural causal models (SCMs) to help us evaluate the consequences of actions given data. SCMs identify actions with structural interventions. A careful decision maker may wonder whether this identification is justified. We seek such a justification. We begin with decision models, which map actions to distributions over outcomes but avoid additional causal assumptions. We then examine assumptions that could justify causal interventions, with a focus on symmetry. First, we introduce conditionally independent and identical responses (CIIR), a generalisation of the IID assumption to decision models. CIIR justifies identifying actions with interventions, but is often an implausible assumption. We consider an alternative: precedent is the assumption that “what I can do has been done before, and its consequences observed,” and is generally more plausible than CIIR. We show that precedent together with independence of causal mechanisms (ICM) and an observed conditional independence can justify identifying actions with causal interventions. ICM has been proposed as an alternative foundation for causal modelling, but this work suggests that it may in fact justify the interventional interpretation of causal models.
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spelling doaj-art-ecb50250201c44fe8ba913a0573d0a882025-01-20T11:08:51ZengDe GruyterJournal of Causal Inference2193-36852025-01-01131S8S1410.1515/jci-2023-0001Decision making, symmetry and structure: Justifying causal interventionsJohnston David O.0Ong Cheng Soon1Williamson Robert C.2Interpretability Team, Eleuther AI, Berkeley, USAMachine Learning Research Group, Data61, Canberra, AustraliaFaculty of Mathematics and Natural Sciences, Universität Tübingen and Tübingen AI center, Tübingen, GermanyWe can use structural causal models (SCMs) to help us evaluate the consequences of actions given data. SCMs identify actions with structural interventions. A careful decision maker may wonder whether this identification is justified. We seek such a justification. We begin with decision models, which map actions to distributions over outcomes but avoid additional causal assumptions. We then examine assumptions that could justify causal interventions, with a focus on symmetry. First, we introduce conditionally independent and identical responses (CIIR), a generalisation of the IID assumption to decision models. CIIR justifies identifying actions with interventions, but is often an implausible assumption. We consider an alternative: precedent is the assumption that “what I can do has been done before, and its consequences observed,” and is generally more plausible than CIIR. We show that precedent together with independence of causal mechanisms (ICM) and an observed conditional independence can justify identifying actions with causal interventions. ICM has been proposed as an alternative foundation for causal modelling, but this work suggests that it may in fact justify the interventional interpretation of causal models.https://doi.org/10.1515/jci-2023-0001causal inferencedecision theory62d2062a0168t3760a99
spellingShingle Johnston David O.
Ong Cheng Soon
Williamson Robert C.
Decision making, symmetry and structure: Justifying causal interventions
Journal of Causal Inference
causal inference
decision theory
62d20
62a01
68t37
60a99
title Decision making, symmetry and structure: Justifying causal interventions
title_full Decision making, symmetry and structure: Justifying causal interventions
title_fullStr Decision making, symmetry and structure: Justifying causal interventions
title_full_unstemmed Decision making, symmetry and structure: Justifying causal interventions
title_short Decision making, symmetry and structure: Justifying causal interventions
title_sort decision making symmetry and structure justifying causal interventions
topic causal inference
decision theory
62d20
62a01
68t37
60a99
url https://doi.org/10.1515/jci-2023-0001
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