Partial counterfactual identification and uplift modeling: theoretical
results and real-world assessment
- URL: http://arxiv.org/abs/2211.07264v1
- Date: Mon, 14 Nov 2022 10:45:55 GMT
- Title: Partial counterfactual identification and uplift modeling: theoretical
results and real-world assessment
- Authors: Th\'eo Verhelst, Denis Mercier, Jeevan Shrestha, Gianluca Bontempi
- Abstract summary: This paper discusses how it is possible to derive bounds on the probability of counterfactual statements based on uplift terms.
We show that tightness of such bounds depends on the information of the feature set on the uplift term.
We propose a point estimator based on the assumption of conditional independence between the counterfactual outcomes.
- Score: 0.4129225533930965
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: Counterfactuals are central in causal human reasoning and the scientific
discovery process. The uplift, also called conditional average treatment
effect, measures the causal effect of some action, or treatment, on the outcome
of an individual. This paper discusses how it is possible to derive bounds on
the probability of counterfactual statements based on uplift terms. First, we
derive some original bounds on the probability of counterfactuals and we show
that tightness of such bounds depends on the information of the feature set on
the uplift term. Then, we propose a point estimator based on the assumption of
conditional independence between the counterfactual outcomes. The quality of
the bounds and the point estimators are assessed on synthetic data and a large
real-world customer data set provided by a telecom company, showing significant
improvement over the state of the art.
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