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I'm trying to evaluate the probability of a rare occurrence. My training data is a binary 1/0 for output and a TFIDF Vector of words for input.

Which seems to lend itself to a regression, I've been using xgboost's XGBRegressor with decent results but something is confusing me.

The feature_importances for XGBRegessor seem to pick ngrams which seem to me not that important.

When I ran the exact same test but instead used XGBClassifier the important phrases it chose made more sense to me.

The results of sklearns roc_auc score indicate similarly, it ranks the classifier as better than the regressor. Which I don't understand.

Can I compare the roc_auc score of a classifier and regressor as apples to apples?

Does it make sense that a classifier could perform better at predicting a probability than a regressor?

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This really should be done as a classification problem; xgb naturally produces a probability score (though generally not well-calibrated).

I would suspect that XGBRegressor would actually produce some outputs outside [0,1]; is that the case for you?

Gradient boosting is always a regression under the hood; the only difference is in the loss function. Using mse here will, for example, give the same penalty for predicting 1.2 as for predicting 0.8 for a positive sample. That's likely to mess with the rank-ordering, and hence the ROC curve.

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  • $\begingroup$ Can the results of the roc_auc can be taken as apples to apples across regression and calssification? I'm leaning towards making the switch it's just I started out confident it should be taken as a regression task because everyone online talks about rare probability events need to be evaluated as a regression task. I guess if XGB is all regression under the hood it makes sense. $\endgroup$ – Scott Thompson Jan 27 at 23:06
  • $\begingroup$ I would say yes, because the ROC curve depends only on the rank-ordering. Can you provide reference(s) for rare-event classification being better treated as regression? $\endgroup$ – Ben Reiniger Jan 27 at 23:41
  • $\begingroup$ stats.stackexchange.com/questions/290886/… There was a few other posts also, Thanks though I think I'm going to probably move forward with classification as by all my measurements it's doing better... $\endgroup$ – Scott Thompson Jan 28 at 2:19
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    $\begingroup$ Ah, I think Harrell's distinction between "classification" and "prediction" there is not quite in line with the sklearn API. Here, most classifiers are probabilistic; since Harrell mostly is arguing against hard classification, I think we're fine. $\endgroup$ – Ben Reiniger Jan 28 at 4:13

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