There are two steps in implementing a parameterized custom loss function in Keras. First, writing a method for the coefficient/metric. Second, writing a wrapper function to format things the way Keras needs them to be.
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It’s actually quite a bit cleaner to use the Keras backend instead of tensorflow directly for simple custom loss functions like DICE. Here’s an example of the coefficient implemented that way:
import keras.backend as K def dice_coef(y_true, y_pred, smooth, thresh): y_pred = y_pred > thresh y_true_f = K.flatten(y_true) y_pred_f = K.flatten(y_pred) intersection = K.sum(y_true_f * y_pred_f) return (2. * intersection + smooth) / (K.sum(y_true_f) + K.sum(y_pred_f) + smooth)
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Now for the tricky part. Keras loss functions must only take (y_true, y_pred) as parameters. So we need a separate function that returns another function.
def dice_loss(smooth, thresh): def dice(y_true, y_pred) return -dice_coef(y_true, y_pred, smooth, thresh) return dice
Finally, you can use it as follows in Keras compile.
# build model
model = my_model()
# get the loss function
model_dice = dice_loss(smooth=1e-5, thresh=0.5)
# compile model
model.compile(loss=model_dice)