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• W2891583400 abstract "The variational autoencoder (VAE) is a powerful generative model that can estimate the probability of a data point by using latent variables. In the VAE, the posterior of the latent variable given the data point is regularized by the prior of the latent variable using Kullback Leibler (KL) divergence. Although the standard Gaussian distribution is usually used for the prior, this simple prior incurs over-regularization. As a sophisticated prior, the aggregated posterior has been introduced, which is the expectation of the posterior over the data distribution. This prior is optimal for the VAE in terms of maximizing the training objective function. However, KL divergence with the aggregated posterior cannot be calculated in a closed form, which prevents us from using this optimal prior. With the proposed method, we introduce the density ratio trick to estimate this KL divergence without modeling the aggregated posterior explicitly. Since the density ratio trick does not work well in high dimensions, we rewrite this KL divergence that contains the high-dimensional density ratio into the sum of the analytically calculable term and the low-dimensional density ratio term, to which the density ratio trick is applied. Experiments on various datasets show that the VAE with this implicit optimal prior achieves high density estimation performance." @default.
• W2891583400 created "2018-09-27" @default.
• W2891583400 creator A5006786260 @default.
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• W2891583400 date "2018-09-14" @default.
• W2891583400 modified "2023-09-23" @default.
• W2891583400 title "Variational Autoencoder with Implicit Optimal Priors" @default.
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• W2891583400 doi "https://doi.org/10.48550/arxiv.1809.05284" @default.
• W2891583400 hasPublicationYear "2018" @default.
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