as having a single value that the discriminator is trying to maximize and the generator is trying to minimize so what exactly is this value that the two players are fighting over it's simply the cross-entropy between the discriminators predictions and the correct labels and the binary classification task of discriminating real data from fake data so we have one term where we're feeding data and we're with a discriminator is trying to maximize the log probability of assigning one to the data and then we have another term where the