madrury83

madrury83 t1_j3epnqt wrote

Repurposing common words to have technical meanings is a basic trope in mathematics: kernel, neuron, limit, derivative, spectrum, manifold, atlas, chart, model, group, ring, ideal, field, topology, open, closed, compact, exotic, neighborhood, domain, immerse, embed, fibre, bundle, flow, section, measure, category, scheme, torsion, ...

... and typing Natural Transformation into google shows you skinny dudes that got buff.

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madrury83 t1_it7hw31 wrote

I think the more rigorous way to get at the OPs point is to observe that the AUC is the probability that a randomly selected positive class is scored higher (by your fixed model) than a randomly chosen negative class. Being probabilities, these are independent (at a population level) of the number of samples you have from your positive and negative populations (of course, smaller samples get you more sampling variance). I believe this is the OPs point with "they are fractions".

In any case, can we at least all agree that blogs/articles throwing around this kind of advice without justification is less than helpful?

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