Keras Custom loss function to pass arguments other than y_true and y_pred

Solution 1:

New answer

I think you're looking exactly for L2 regularization. Just create a regularizer and add it in the layers:

from keras.regularizers import l2

#in the target layers, Dense, Conv2D, etc.:
layer = Dense(units, ..., kernel_regularizer = l2(some_coefficient)) 

You can use bias_regularizer as well.
The some_coefficient var is multiplied by the square value of the weight.

PS: if val in your code is constant, it should not harm your loss. But you can still use the old answer below for val.

Old answer

Wrap the Keras expected function (with two parameters) into an outer function with your needs:

def customLoss(layer_weights, val = 0.01):
    
    def lossFunction(y_true,y_pred):    
        loss = mse(y_true, y_pred)
        loss += K.sum(val, K.abs(K.sum(K.square(layer_weights), axis=1)))
        return loss

    return lossFunction

model.compile(loss=customLoss(weights,0.03), optimizer =..., metrics = ...)   

Notice that layer_weights must come directly from the layer as a "tensor", so you can't use get_weights(), you must go with someLayer.kernel and someLayer.bias. (Or the respective var name in case of layers that use different names for their trainable parameters).

The answer here shows how to deal with that if your external vars are variable with batches: How to define custom cost function that depends on input when using ImageDataGenerator in Keras?