@@ -179,7 +179,7 @@ Parameter $\alpha_{\humanValue}$ controls the leniency of a decision maker $\hum
%\spara{Parameter estimation}
We take a Bayesian approach to learn the model over the dataset \dataset.
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In particular, we consider the full probabilistic model defined in Equations \ref{eq:judgemodel} -- \ref{eq:defendantmodel} and obtain the posterior distribution of its parameters $\parameters=\{\alpha_\outcome, \beta_\obsFeatures, \beta_\unobservable, \gamma_\obsFeatures, \gamma_\unobservable\}\cup\{\alpha_\humanValue\}_\humanValue$, which includes intercepts $\alpha_\humanValue$ for all $\humanValue$ employed in the data. % and $\alpha$ for all $\human$. %, where $i = 1, \ldots, \datasize$, conditional on the dataset.
In particular, we consider the full probabilistic model defined in Equations \ref{eq:defendantmodel} -- \ref{eq:judgemodel} and obtain the posterior distribution of its parameters $\parameters=\{\alpha_\outcome, \beta_\obsFeatures, \beta_\unobservable, \gamma_\obsFeatures, \gamma_\unobservable\}\cup\{\alpha_\humanValue\}_\humanValue$, which includes intercepts $\alpha_\humanValue$ for all $\humanValue$ employed in the data. % and $\alpha$ for all $\human$. %, where $i = 1, \ldots, \datasize$, conditional on the dataset.
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%Notice that by ``parameters'' here we refer to all quantities that are not considered as known with certainty from the input, and so parameters include unobserved features \unobservable.
@@ -79,8 +79,6 @@ Compared to previous state-of-the-art, the quality of decisions is estimated mor
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The approach is also demonstrated to be robust to different variations in the decision mechanisms in the data.
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\note{Michael}{On one hand, since we use judicial data in our experiments, it makes sense to use the bail-or-jail case in the abstract. On the other hand, this does not connect with the motivation we provide to evaluate the decision of (computer/ML/AI) systems, since jail-or-bail decisions are not currently made by such systems (risk scores are used as assisting tools). The bank loan example might look better in the abstract.}