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RFC Consistent options/names for loss and criterion #18248

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@lorentzenchr

Description

@lorentzenchr

Proposal

Make the options to choose a loss or a split criterion consistent/unified over all estimators, classifiers as well as regressors.

Current State of Affairs

The API for setting a loss function or a split criterion is scattered. Here is an incomplete list as of v0.23.0:

Classifiers

Regressors

Additional context

Supersedes #3481. Furthermore, #15123 is a bit related, though that one is about private functionality while this one is about public API.

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