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A Variational Autoencoder (VAE) is a probabilistic autoencoder that learns to generate data by inferring hidden causes (latent variables) and decoding them back to observations.
The reparameterization trick rewrites a random variable as a deterministic function of noise that does not depend on the parameters, such as z = ฮผ + ฯ ยท ฮต with ฮต ~ N(0, 1).