python - Make a custom loss function in keras

Question

Hi I have been trying to make a custom loss function in keras for dice_error_coefficient. It has its implementations in tensorboard and I tried using the same function in keras with tensorflow but it keeps returning a NoneType when I used model.train_on_batch or model.fit where as it gives proper values when used in metrics in the model. Can please someone help me out with what should i do? I have tried following libraries like Keras-FCN by ahundt where he has used custom loss functions but none of it seems to work. The target and output in the code are y_true and y_pred respectively as used in the losses.py file in keras.

def dice_hard_coe(target, output, threshold=0.5, axis=[1,2], smooth=1e-5):
    """References
    -----------
    - `Wiki-Dice <https://en.wikipedia.org/wiki/Sørensen–Dice_coefficient>`_
    """

    output = tf.cast(output > threshold, dtype=tf.float32)
    target = tf.cast(target > threshold, dtype=tf.float32)
    inse = tf.reduce_sum(tf.multiply(output, target), axis=axis)
    l = tf.reduce_sum(output, axis=axis)
    r = tf.reduce_sum(target, axis=axis)
    hard_dice = (2. * inse + smooth) / (l + r + smooth)
    hard_dice = tf.reduce_mean(hard_dice)
    return hard_dice

Answer 1

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.

1. 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)
   

2. 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)

Answer 2

According to the documentation, you can use a custom loss function like this:

Any callable with the signature loss_fn(y_true, y_pred) that returns an array of losses (one of sample in the input batch) can be passed to compile() as a loss. Note that sample weighting is automatically supported for any such loss.

As a simple example:

def my_loss_fn(y_true, y_pred):
    squared_difference = tf.square(y_true - y_pred)
    return tf.reduce_mean(squared_difference, axis=-1)  # Note the `axis=-1`

model.compile(optimizer='adam', loss=my_loss_fn)

Complete example:

import tensorflow as tf
import numpy as np

def my_loss_fn(y_true, y_pred):
    squared_difference = tf.square(y_true - y_pred)
    return tf.reduce_mean(squared_difference, axis=-1)  # Note the `axis=-1`

model = tf.keras.Sequential([
    tf.keras.layers.Dense(8, activation='relu'),
    tf.keras.layers.Dense(16, activation='relu'),
    tf.keras.layers.Dense(1)])

model.compile(optimizer='adam', loss=my_loss_fn)

x = np.random.rand(1000)
y = x**2

history = model.fit(x, y, epochs=10)