Machine Learning

Learnable Explicit Density for Continuous Latent Space and Variational Inference

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  • arXiv
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    Learnable Explicit Density for Continuous Latent Space and Variational Inference

    In this paper, we study two aspects of the variational autoencoder (VAE): the prior distribution over the latent variables and its corresponding posterior. First, we decompose the learning of VAEs into layerwise density estimation, and argue that having a flexible prior is beneficial to both sample generation and inference. Second, we analyze the family of inverse autoregressive flows (inverse AF) and show that with further improvement, inverse AF could be used as universal approximation to any complicated posterior. Our analysis results in a unified approach to parameterizing a VAE, without the need to restrict ourselves to use factorial Gaussians in the latent real space.

    Learnable Explicit Density for Continuous Latent Space and Variational Inference
    by Chin-Wei Huang, Ahmed Touati, Laurent Dinh, Michal Drozdzal, Mohammad Havaei, Laurent Charlin, Aaron Courville
    https://arxiv.org/pdf/1710.02248v1.pdf

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