ED-VAE: Entropy Decomposition of ELBO in Variational Autoencoders

Fuente: arXiv
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Auteurs principaux: Lygerakis, Fotios, Rueckert, Elmar
Format: Preprint
Publié: 2024
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author Lygerakis, Fotios
Rueckert, Elmar
author_facet Lygerakis, Fotios
Rueckert, Elmar
contents Traditional Variational Autoencoders (VAEs) are constrained by the limitations of the Evidence Lower Bound (ELBO) formulation, particularly when utilizing simplistic, non-analytic, or unknown prior distributions. These limitations inhibit the VAE's ability to generate high-quality samples and provide clear, interpretable latent representations. This work introduces the Entropy Decomposed Variational Autoencoder (ED-VAE), a novel re-formulation of the ELBO that explicitly includes entropy and cross-entropy components. This reformulation significantly enhances model flexibility, allowing for the integration of complex and non-standard priors. By providing more detailed control over the encoding and regularization of latent spaces, ED-VAE not only improves interpretability but also effectively captures the complex interactions between latent variables and observed data, thus leading to better generative performance.
format Preprint
id arxiv_https___arxiv_org_abs_2407_06797
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle ED-VAE: Entropy Decomposition of ELBO in Variational Autoencoders
Lygerakis, Fotios
Rueckert, Elmar
Machine Learning
Artificial Intelligence
Traditional Variational Autoencoders (VAEs) are constrained by the limitations of the Evidence Lower Bound (ELBO) formulation, particularly when utilizing simplistic, non-analytic, or unknown prior distributions. These limitations inhibit the VAE's ability to generate high-quality samples and provide clear, interpretable latent representations. This work introduces the Entropy Decomposed Variational Autoencoder (ED-VAE), a novel re-formulation of the ELBO that explicitly includes entropy and cross-entropy components. This reformulation significantly enhances model flexibility, allowing for the integration of complex and non-standard priors. By providing more detailed control over the encoding and regularization of latent spaces, ED-VAE not only improves interpretability but also effectively captures the complex interactions between latent variables and observed data, thus leading to better generative performance.
title ED-VAE: Entropy Decomposition of ELBO in Variational Autoencoders
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2407.06797