Uniform Transformation: Refining Latent Representation in Variational Autoencoders

Fuente: arXiv
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Autori principali: Shi, Ye, Lee, C. S. George
Natura: Preprint
Pubblicazione: 2024
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author Shi, Ye
Lee, C. S. George
author_facet Shi, Ye
Lee, C. S. George
contents Irregular distribution in latent space causes posterior collapse, misalignment between posterior and prior, and ill-sampling problem in Variational Autoencoders (VAEs). In this paper, we introduce a novel adaptable three-stage Uniform Transformation (UT) module -- Gaussian Kernel Density Estimation (G-KDE) clustering, non-parametric Gaussian Mixture (GM) Modeling, and Probability Integral Transform (PIT) -- to address irregular latent distributions. By reconfiguring irregular distributions into a uniform distribution in the latent space, our approach significantly enhances the disentanglement and interpretability of latent representations, overcoming the limitation of traditional VAE models in capturing complex data structures. Empirical evaluations demonstrated the efficacy of our proposed UT module in improving disentanglement metrics across benchmark datasets -- dSprites and MNIST. Our findings suggest a promising direction for advancing representation learning techniques, with implication for future research in extending this framework to more sophisticated datasets and downstream tasks.
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id arxiv_https___arxiv_org_abs_2407_02681
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Uniform Transformation: Refining Latent Representation in Variational Autoencoders
Shi, Ye
Lee, C. S. George
Machine Learning
Image and Video Processing
Optimization and Control
Irregular distribution in latent space causes posterior collapse, misalignment between posterior and prior, and ill-sampling problem in Variational Autoencoders (VAEs). In this paper, we introduce a novel adaptable three-stage Uniform Transformation (UT) module -- Gaussian Kernel Density Estimation (G-KDE) clustering, non-parametric Gaussian Mixture (GM) Modeling, and Probability Integral Transform (PIT) -- to address irregular latent distributions. By reconfiguring irregular distributions into a uniform distribution in the latent space, our approach significantly enhances the disentanglement and interpretability of latent representations, overcoming the limitation of traditional VAE models in capturing complex data structures. Empirical evaluations demonstrated the efficacy of our proposed UT module in improving disentanglement metrics across benchmark datasets -- dSprites and MNIST. Our findings suggest a promising direction for advancing representation learning techniques, with implication for future research in extending this framework to more sophisticated datasets and downstream tasks.
title Uniform Transformation: Refining Latent Representation in Variational Autoencoders
topic Machine Learning
Image and Video Processing
Optimization and Control
url https://arxiv.org/abs/2407.02681