changing the loss function in the logistic regression?
Michael wrote:
Hi all, Is there a way to change the loss function in the logistic regression? Or we could provide a customized loss function in the logistic regression so we could use that loss function in the Cross Validation in logistic regression? Thanks a lot!
The goal is to use a loss function that yields optimality, with a sensible definition of optimality. For many purposes, maximum likelihood or penalized maximum likelihood is optimum. So don't change the optimality criteria just because you are cross-validating a different measure. By the way, it's often not a good idea to cross-validate a different measure. At least the accuracy index should be information-preserving. Deviance, log-likelihood, and AIC are your friends. Frank
Frank E Harrell Jr Professor and Chair School of Medicine
Department of Biostatistics Vanderbilt University