I have a question regarding boxcox transformation(or log transformation). I am working on a data-set which I have lots of skewed features. Now when I take the boxcox transformation, I get quite a nice distribution but the thing is correlation decrease. Now if I was working with linear models I would just consider correlation to decide I should transform the feature or not. But as I mentioned I am working with tree-based models, so should I transform the feature to get a more dispersed distribution or I leave the feature as it is to avoid a decrease in correlation.
I add a screenshot of distribution and its relationship with the target variable, for both transformed and not transformed(Left 2 plots original feature and target).
PS: Guessing from the plots, it seems to me that if I transform the feature it will be easier for tree to find a split for this particular feature.
Thanks a lot,