Improving Variational Autoencoder Estimation from Incomplete Data with Mixture Variational Families

Fuente: arXiv
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Main Authors: Simkus, Vaidotas, Gutmann, Michael U.
Format: Preprint
Published: 2024
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author Simkus, Vaidotas
Gutmann, Michael U.
author_facet Simkus, Vaidotas
Gutmann, Michael U.
contents We consider the task of estimating variational autoencoders (VAEs) when the training data is incomplete. We show that missing data increases the complexity of the model's posterior distribution over the latent variables compared to the fully-observed case. The increased complexity may adversely affect the fit of the model due to a mismatch between the variational and model posterior distributions. We introduce two strategies based on (i) finite variational-mixture and (ii) imputation-based variational-mixture distributions to address the increased posterior complexity. Through a comprehensive evaluation of the proposed approaches, we show that variational mixtures are effective at improving the accuracy of VAE estimation from incomplete data.
format Preprint
id arxiv_https___arxiv_org_abs_2403_03069
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Improving Variational Autoencoder Estimation from Incomplete Data with Mixture Variational Families
Simkus, Vaidotas
Gutmann, Michael U.
Machine Learning
62D10
I.2.6; G.3
We consider the task of estimating variational autoencoders (VAEs) when the training data is incomplete. We show that missing data increases the complexity of the model's posterior distribution over the latent variables compared to the fully-observed case. The increased complexity may adversely affect the fit of the model due to a mismatch between the variational and model posterior distributions. We introduce two strategies based on (i) finite variational-mixture and (ii) imputation-based variational-mixture distributions to address the increased posterior complexity. Through a comprehensive evaluation of the proposed approaches, we show that variational mixtures are effective at improving the accuracy of VAE estimation from incomplete data.
title Improving Variational Autoencoder Estimation from Incomplete Data with Mixture Variational Families
topic Machine Learning
62D10
I.2.6; G.3
url https://arxiv.org/abs/2403.03069