I'm currently doing a binary classification for sentiment prediction. Currently I have the majority class (~90% of the data) as my positive class (labelled 1) and the minority class (~10% of the data) as my negative class (labeled 0). What I'd like to maximize in this experiment is the detection of negative sentiments, hence I'd like to maximize the precision (and recall) of my minority class.
However, in many similar datasets (in terms of prioritizing the detection of minority class) out there like credit card fraud detection, cancer detection, usually the minority class is set as the positive class and the majority class set as the negative class.
My question is: Does it matter if the minority class is set as the positive or negative label in relation to performance of training a model or affecting a loss function such as cross entropy?