ROUGE score - what does it refer to - Recall / Precision / F1 or something else?

@gent.spah I know this question has been answered, but I tried looking for other posts that get at this inquiry, but figured rather than just starting a new one it might be good to add on here.

So… I was wondering if you had any ‘intuition’:

I mean in traditional ML we calculate precision and recall as follows:

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But both from the lecture and your linked article precision and recall are calculated like this:

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While BLEU is not too bad, I’m going to have to sit and think and go over ROUGE a few more times to make sure I get that.

However, my question actually relates to-- I know the context is different, but how are these versions of recall and precision equivalent ?

Or are they being used ‘in a different way’ ?

… It is at least not ‘obviously’ jumping out at me…