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Precision is about variability while accuracy (in contrast to precision) is about bias. This tag pertains to measurement or estimation; use [precision-recall] when talking about classifiers.

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Does it matter if real data will be imbalanced, if the ML model was trained on a balanced da...

Yes, it absolutely does matter. For the SVM the misclassification costs are determined by the regularisation parameter $C$. Most good implementations allow you to have different missclassification c …
Dikran Marsupial's user avatar
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Classification ML model: probability of positive label knowing the model score

Probably too late to be useful, but... Without knowing anything else about it, my best guess for x belonging to the positive class is the frequency of the positive labels in the known population ... …
Dikran Marsupial's user avatar