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Fide rating and Lichess rating correlation

Is there a study or a chart that compares Fide vs Lichess ratings?

I was checking a player's profile, who has a 1634 std Fide rating, he is around 2200 in Blitz in Lichess.

I don't expect a linear correlation between the two. But there must a relation between these two numbers.
There could be a lot of variancy. I for example have a higher bullet than blitz rating which is very unusual. Also not even federated, but beaten a couple NMs.

Classical time control is not very popular online so i believe we can't have some correlation not even with a big margin of error.

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