Here is a Python code example that demonstrates the use of gradient penalty in Wasserstein GANs with Gradient Penalty (WGAN-GP):
python
import tensorflow as tf
from tensorflow import keras
from tensorflow.keras import layers
import numpy as np
# Define the critic model
critic = keras.Sequential([
layers.Dense(256, activation='relu', input_shape=(28*28,)),
layers.Dense(1)
])
# Define the gradient penalty function
def gradient_penalty(critic, real_data, fake_data, epsilon):
# Calculate the critic outputs for real and fake data
real_outputs = critic(real_data)
fake_outputs = critic(fake_data)
# Calculate the gradients of the critic outputs with respect to the inputs
real_gradients = tf.gradients(critic(real_data), real_data)
fake_gradients = tf.gradients(critic(fake_data), fake_data)
# Calculate the gradient penalty
gradient_penalty = tf.reduce_mean((tf.norm(real_gradients, axis=1) - 1) ** 2 + (tf.norm(fake_gradients, axis=1) - 1) ** 2)
return gradient_penalty
# Define the WGAN-GP loss function
def wgan_gp_loss(critic, real_data, fake_data, epsilon):
# Calculate the critic outputs for real and fake data
real_outputs = critic(real_data)
fake_outputs = critic(fake_data)
# Calculate the gradient penalty
gradient_penalty = gradient_penalty(critic, real_data, fake_data, epsilon)
# Calculate the WGAN-GP loss
wgan_gp_loss = tf.reduce_mean(real_outputs) - tf.reduce_mean(fake_outputs) + 10 * gradient_penalty
return wgan_gp_loss
# Compile the critic model
critic.compile(optimizer='adam', loss=wgan_gp_loss)
# Generate some sample data
real_data = np.random.rand(100, 28*28)
fake_data = np.random.rand(100, 28*28)
# Train the critic model
critic.fit([real_data, fake_data], epochs=100)
In this example, the `gradient_penalty` function calculates the gradient penalty by computing the norm of the gradients of the critic outputs with respect to the inputs for both real and fake data. The `wgan_gp_loss` function calculates the WGAN-GP loss by subtracting the mean of the fake outputs from the mean of the real outputs and adding the gradient penalty. The critic model is then compiled with the WGAN-GP loss function and trained on sample data.