[D][P]Cost-sensitive SVM hyperparametr optimization

Hi, I have a question, when you do hyperparameter tuning for CS-SVM, can you do it for the weights as well? I ran it and it returned me a higher value for the majority class and should be higher for the minority class in an unbalanced dataset, so i was wondering if it's common to search for all the parameters (C, gamma, weight\_0 and weight\_1) or you just use the inverse ratio of unbalance between classes?

Thanks!

cost dataset hyperparameter machinelearning optimization search svm value