The web suggests several criteria: searching hypotheses vs testing hypothesis; prediction vs inference; good marketing vs bad marketing; publishing in conferences vs publishing in journals; or simply sitting in a CS department vs sitting in a Stats dept.

I think there is a more fundamental difference, which may betray my CMU math department upbringing: a foundation of mathematical logic vs a foundation of real analysis.

The web suggests several criteria: searching hypotheses vs testing hypothesis; prediction vs inference; good marketing vs bad marketing; publishing in conferences vs publishing in journals; or simply sitting in a CS department vs sitting in a Stats dept.

I think there is a more fundamental difference, which may betray my CMU math department upbringing: a foundation of mathematical logic vs a foundation of real analysis.