Deep Generative Clustering with VAEs and Expectation-Maximization

Michael Adipoetra, Ségolène Martin
1/13/2025
cs.LGstat.ML

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Abstract

We propose a novel deep clustering method that integrates Variational Autoencoders (VAEs) into the Expectation-Maximization (EM) framework. Our approach models the probability distribution of each cluster with a VAE and alternates between updating model parameters by maximizing the Evidence Lower Bound (ELBO) of the log-likelihood and refining cluster assignments based on the learned distributions. This enables effective clustering and generation of new samples from each cluster. Unlike existing VAE-based methods, our approach eliminates the need for a Gaussian Mixture Model (GMM) prior or additional regularization techniques. Experiments on MNIST and FashionMNIST demonstrate superior clustering performance compared to state-of-the-art methods.

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Cite this paper

@article{adipoetra2025deep,
  title  = {Deep Generative Clustering with VAEs and Expectation-Maximization},
  author = {Michael Adipoetra and Ségolène Martin},
  year   = {2025},
  eprint = {2501.07358},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2501.07358v1}
}

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