Complete the code to define the encoder input layer for a Variational Autoencoder.
inputs = Input(shape=[1])The input shape for the encoder in a VAE working on grayscale 28x28 images is (28, 28, 1).
Complete the code to sample latent variables z using the reparameterization trick.
z = [1](mean, log_var)The function 'sampling' is commonly used to implement the reparameterization trick in VAEs.
Fix the error in the loss function by completing the KL divergence term.
kl_loss = -0.5 * K.sum(1 + [1] - K.square(mean) - K.exp(log_var), axis=-1)
The KL divergence term uses the log variance (log_var) in the formula.
Fill both blanks to complete the decoder output layer and activation function.
outputs = Dense([1], activation=[2])(decoder_hidden)
The decoder output layer should have 784 units (28*28) with sigmoid activation to output pixel probabilities.
Fill all three blanks to complete the VAE model compilation with optimizer, loss, and metrics.
vae.compile(optimizer=[1], loss=[2], metrics=[[3]])
The VAE is commonly compiled with the 'adam' optimizer, a custom loss function 'vae_loss', and 'accuracy' as a metric.