Custom loss function in Keras based on the input data

I have come across 2 solutions to the question you asked.

1. You can pass your input tensor as an argument to the custom loss wrapper function.

    def custom_loss(i):

        def loss(y_true, y_pred):
            return K.mean(K.square(y_pred - y_true), axis=-1) + something with i...
        return loss

    def baseline_model():
        # create model
        i = Input(shape=(5,))
        x = Dense(5, kernel_initializer='glorot_uniform', activation='linear')(i)
        o = Dense(1, kernel_initializer='normal', activation='linear')(x)
        model = Model(i, o)
        model.compile(loss=custom_loss(i), optimizer=Adam(lr=0.0005))
        return model

This solution is also mentioned in the accepted answer here

2. You can pad your label with extra data columns from input and write a custom loss. This is helpful if you just want one/few feature column(s) from your input.

    def custom_loss(data, y_pred):

        y_true = data[:, 0]
        i = data[:, 1]
        return K.mean(K.square(y_pred - y_true), axis=-1) + something with i...


    def baseline_model():
        # create model
        i = Input(shape=(5,))
        x = Dense(5, kernel_initializer='glorot_uniform', activation='linear')(i)
        o = Dense(1, kernel_initializer='normal', activation='linear')(x)
        model = Model(i, o)
        model.compile(loss=custom_loss, optimizer=Adam(lr=0.0005))
        return model


    model.fit(X, np.append(Y_true, X[:, 0], axis =1), batch_size = batch_size, epochs=90, shuffle=True, verbose=1)

This solution can be found also here in this thread.

I have only used the 2nd method when I had to use input feature columns in the loss. I have used the first method with scalar arguments; but I believe a tensor input works as well.

You could wrap your custom loss with another function that takes the input tensor as an argument:

def customloss(x):
    def loss(y_true, y_pred):
        # Use x here as you wish
        err = K.mean(K.square(y_pred - y_true), axis=-1)
        return err

    return loss

And then compile your model as follows:

model.compile('sgd', customloss(x))

where x is your input tensor.

NOTE: Not tested.