Hi, sorry for the late reply. I think what could be done for cross entropy loss is :
Take the average of the negative log of the logits over 1 class and then average this value over all the classes. Doing this would give you a value in the similar scale to that of the dice loss with which you could simply add this CE value. Do you get what I mean? If not, let me know. But, when I try this method I keep getting NAN for my loss after few epochs (it is highly unpredictable when the loss would go to NAN). Did you get decent results by doing what you mentioned? i.e. taking the log of dice score?
Please let me know