Measuring axiomatic soundness of counterfactual image models
- URL: http://arxiv.org/abs/2303.01274v1
- Date: Thu, 2 Mar 2023 13:59:07 GMT
- Title: Measuring axiomatic soundness of counterfactual image models
- Authors: Miguel Monteiro and Fabio De Sousa Ribeiro and Nick Pawlowski and
Daniel C. Castro and Ben Glocker
- Abstract summary: We present a general framework for evaluating image counterfactuals.
We define counterfactuals as functions of an input variable, its parents, and counterfactual parents.
We show how these metrics can be used to compare and choose between different approximate counterfactual inference models.
- Score: 24.749839878737884
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We present a general framework for evaluating image counterfactuals. The
power and flexibility of deep generative models make them valuable tools for
learning mechanisms in structural causal models. However, their flexibility
makes counterfactual identifiability impossible in the general case. Motivated
by these issues, we revisit Pearl's axiomatic definition of counterfactuals to
determine the necessary constraints of any counterfactual inference model:
composition, reversibility, and effectiveness. We frame counterfactuals as
functions of an input variable, its parents, and counterfactual parents and use
the axiomatic constraints to restrict the set of functions that could represent
the counterfactual, thus deriving distance metrics between the approximate and
ideal functions. We demonstrate how these metrics can be used to compare and
choose between different approximate counterfactual inference models and to
provide insight into a model's shortcomings and trade-offs.
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