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In the image comparing logistic regression and decision trees, it seems to suggest they only used linear features for logistic regression (?). Otherwise, shouldn’t there be a non linear classification boundary?
They write in the text that their model featured nonlinear transformations. I think the picture shows a simplified view and as the plots don't have labels it's not clear which space is regarded.
It is not clear why they switched from GBT to ANNs. I would have thought GBTs would work better on the kind of structured data they are dealing with.