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Abstraction between structural causal models : a review of definitions and properties
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Zennaro, Fabio Massimo (2022) Abstraction between structural causal models : a review of definitions and properties. In: UAI 2022 Workshop on Causal Representation Learning, Eindhoven, Netherlands, 5 Aug 2022
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WRAP-abstraction-between-structural-causal-models-review-definitions-properties-Zennaro-2022.pdf - Accepted Version - Requires a PDF viewer. Download (405Kb) | Preview |
Official URL: https://openreview.net/forum?id=GHZlIYDgZHE
Abstract
Structural causal models (SCMs) are a widespread formalism to deal with causal systems. A recent direction of research has considered the problem of relating formally SCMs at different levels of abstraction, by defining maps between SCMs and imposing a requirement of interventional consistency. This paper offers a review of the solutions proposed so far, focusing on the formal properties of a map between SCMs, and highlighting the different levels (structural, distributional) at which these properties may be enforced. This allows us to distinguish families of abstractions that may or may not be permitted by choosing to guarantee certain properties instead of others. Such an understanding not only allows to distinguish among proposal for causal abstraction with more awareness, but it also allows to tailor the definition of abstraction with respect to the forms of abstraction relevant to specific applications.
Item Type: | Conference Item (Paper) | ||||||
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Subjects: | Q Science > Q Science (General) | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||||
Library of Congress Subject Headings (LCSH): | Artificial intelligence, Causation -- Mathematical models, Abstraction, Machine learning | ||||||
Official Date: | 2022 | ||||||
Dates: |
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Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||
Description: | Accepted for the Causal Representation Learning workshop at the 38th Conference on Uncertainty in Artificial Intelligence (UAI CRL 2022) |
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Date of first compliant deposit: | 13 October 2022 | ||||||
Date of first compliant Open Access: | 14 October 2022 | ||||||
Conference Paper Type: | Paper | ||||||
Title of Event: | UAI 2022 Workshop on Causal Representation Learning | ||||||
Type of Event: | Conference | ||||||
Location of Event: | Eindhoven, Netherlands | ||||||
Date(s) of Event: | 5 Aug 2022 | ||||||
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Open Access Version: |
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