22 karma · joined August 11, 2011
On the other hand, if you wanna compare logistic regression with SVM. While the detail is pretty tricky. One simplified view is to compare linear SVM which is essentially hinge loss with L2 regularization against logistic regression with L2 regularization which is essentially negative binomial log likelihood loss with L2 regularization. If you plot the loss functions, it's easy to see how they penalize negative & positive cases differently.
While I'm not an expert of the theory behind sampling, if you do find the need to tweak sampling to align the default loss function and the business metric, I would say doing grid search first, and validate the result with the business insight, e.g. if you find getting the rare cases right is much more important that getting the common cases right, does that align with the business insight?)