Summary
This paper proposes a method for determining whether a human expert is usefully using outside information that a model does not incorporate in order to make decisions. The goal is to test whether complementarity, humans working with models, is possible for a given task. The paper sets forth an algorithm, ExpertTest, provides some theoretical guarantees, and uses emergency room admissions as a case study for the technique. In the case study, the method indicates that doctors are making use of external information that is not captured in a commonly used risk score.
Strengths
The main strength of this paper is the novel problem that it seeks to solve. Understanding whether and how humans can add their expertise on top of automated decision systems is an important goal, and it is often understudied. It is a creative approach to a crucial problem.
Weaknesses
The primary weakness of the paper, in my opinion, is that the problem setup focuses on variables, or features, rather than also considering the functional form for the prediction itself. Fundamentally, if we are comparing the performance of something like the Glasgow-Blandford score (GBS) to humans, how do we know that the human is not using the same exact input features $X$ as the GBS, but just has a better way of mapping those $X$ to the prediction we are interested in? Why does $U$ have to exist at all for the human to be lending their “expertise” to the problem? That is, let’s say the GBS output is $\tilde{Y} = \tilde{f}(X)$, and the human output is $\hat{Y} = \hat{f}(X)$. If $\hat{f}$ is closer to the actual generating function in the ground truth than $\tilde{f}$, then the human could be “adding expertise” without actually using additional information as defined in this paper. Perhaps the human’s training would help them map these variables better than the GBS algorithm does. If I am missing something here, please correct me, but it’s very unclear to me why the method proposed leads to the conclusion that the expert is using additional features to make a decision.
Questions
1) Early in the paper, the authors equate $X$ with features, such as input features for a model. However, in the case study, the authors define $X$ as a GBS score, which is the output of a risk model. I think the notation needs to more carefully distinguish between what is an input to a model and what is an output of a model, and this may be part of the confusion that I express above in the weaknesses section. Could you clarify this point?
2) In the case study, $\hat{Y}$ is defined as whether the patient is admitted, and the ground truth $Y$ is defined as whether they suffered one of three adverse outcomes. Are these variables correlated? If a patient is admitted, are they less likely to suffer an adverse outcome? It seemed like this might actually be a setup where the “prediction” and “ground truth” are not independent of each other.
3) The third adverse outcome mentioned is initial discharge and readmission within 30 days. Does this mean that anyone who suffered that outcome had a $\hat{Y}$ of 0? I am just wondering if “initial discharge” means that the ER physician made the choice to not admit them.
4) How sensitive is ExpertTest to the choice of loss function?
Rating
7: Accept: Technically solid paper, with high impact on at least one sub-area, or moderate-to-high impact on more than one areas, with good-to-excellent evaluation, resources, reproducibility, and no unaddressed ethical considerations.
Confidence
3: You are fairly confident in your assessment. It is possible that you did not understand some parts of the submission or that you are unfamiliar with some pieces of related work. Math/other details were not carefully checked.
Limitations
I think the paper should more carefully address the assumptions in the initial problem setup, specifically what I lay out in the weaknesses section. What model of human expertise is being considered when the assumption is that any additional information is encapsulated in the $U$ variables?