Learning Energy-based Variational Latent Prior for VAEs

Fuente: arXiv
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Autori principali: Dutta, Debottam, Amballa, Chaitanya, Xu, Zhongweiyang, Wei, Yu-Lin, Choudhury, Romit Roy
Natura: Preprint
Pubblicazione: 2025
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author Dutta, Debottam
Amballa, Chaitanya
Xu, Zhongweiyang
Wei, Yu-Lin
Choudhury, Romit Roy
author_facet Dutta, Debottam
Amballa, Chaitanya
Xu, Zhongweiyang
Wei, Yu-Lin
Choudhury, Romit Roy
contents Variational Auto-Encoders (VAEs) are known to generate blurry and inconsistent samples. One reason for this is the "prior hole" problem. A prior hole refers to regions that have high probability under the VAE's prior but low probability under the VAE's posterior. This means that during data generation, high probability samples from the prior could have low probability under the posterior, resulting in poor quality data. Ideally, a prior needs to be flexible enough to match the posterior while retaining the ability to generate samples fast. Generative models continue to address this tradeoff. This paper proposes to model the prior as an energy-based model (EBM). While EBMs are known to offer the flexibility to match posteriors (and also improving the ELBO), they are traditionally slow in sample generation due to their dependency on MCMC methods. Our key idea is to bring a variational approach to tackle the normalization constant in EBMs, thus bypassing the expensive MCMC approaches. The variational form can be approximated with a sampler network, and we show that such an approach to training priors can be formulated as an alternating optimization problem. Moreover, the same sampler reduces to an implicit variational prior during generation, providing efficient and fast sampling. We compare our Energy-based Variational Latent Prior (EVaLP) method to multiple SOTA baselines and show improvements in image generation quality, reduced prior holes, and better sampling efficiency.
format Preprint
id arxiv_https___arxiv_org_abs_2510_00260
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Learning Energy-based Variational Latent Prior for VAEs
Dutta, Debottam
Amballa, Chaitanya
Xu, Zhongweiyang
Wei, Yu-Lin
Choudhury, Romit Roy
Machine Learning
Artificial Intelligence
Computer Vision and Pattern Recognition
Variational Auto-Encoders (VAEs) are known to generate blurry and inconsistent samples. One reason for this is the "prior hole" problem. A prior hole refers to regions that have high probability under the VAE's prior but low probability under the VAE's posterior. This means that during data generation, high probability samples from the prior could have low probability under the posterior, resulting in poor quality data. Ideally, a prior needs to be flexible enough to match the posterior while retaining the ability to generate samples fast. Generative models continue to address this tradeoff. This paper proposes to model the prior as an energy-based model (EBM). While EBMs are known to offer the flexibility to match posteriors (and also improving the ELBO), they are traditionally slow in sample generation due to their dependency on MCMC methods. Our key idea is to bring a variational approach to tackle the normalization constant in EBMs, thus bypassing the expensive MCMC approaches. The variational form can be approximated with a sampler network, and we show that such an approach to training priors can be formulated as an alternating optimization problem. Moreover, the same sampler reduces to an implicit variational prior during generation, providing efficient and fast sampling. We compare our Energy-based Variational Latent Prior (EVaLP) method to multiple SOTA baselines and show improvements in image generation quality, reduced prior holes, and better sampling efficiency.
title Learning Energy-based Variational Latent Prior for VAEs
topic Machine Learning
Artificial Intelligence
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2510.00260