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Dmytro Velychko

2 accepted papers

2023

The ELBO of Variational Autoencoders Converges to a Sum of Entropies

AISTATS 2023poster

The central objective function of a variational autoencoder (VAE) is its variational lower bound (the ELBO). Here we show that for standard (i.e., Gaussian) VAEs the ELBO converges to a value given by the sum of three entropies: the (negative) entropy of the prior distribution, the expected (negativ…