I am wondering whether there exists some correlation among the hyperparameters of two different classifiers.
For example: let us say that we run LogisticRegression on a dataset with best hyperparameters (by finding through GridSearch) and want to run another classifier like SVC (SVM classifier) on the same dataset but instead of finding all hyperparameters using GridSearch, can we fix some values (or reduce range to limit the search space for GridSearch) of hyperparameters?
As an experimentation, I used scikit-learn's classifiers like LogisticRegression, SVS, LinearSVC, SGDClassifier and Perceptron to classifiy some well know datasets. In some cases, I am able to see some correlation empirically, but not always for all datasets.
So please help me to clear this point.