Identifiable Deep Generative Models via Sparse Decoding

Fuente: arXiv
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Autores principales: Moran, Gemma E., Sridhar, Dhanya, Wang, Yixin, Blei, David M.
Formato: Preprint
Publicado: 2021
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author Moran, Gemma E.
Sridhar, Dhanya
Wang, Yixin
Blei, David M.
author_facet Moran, Gemma E.
Sridhar, Dhanya
Wang, Yixin
Blei, David M.
contents We develop the sparse VAE for unsupervised representation learning on high-dimensional data. The sparse VAE learns a set of latent factors (representations) which summarize the associations in the observed data features. The underlying model is sparse in that each observed feature (i.e. each dimension of the data) depends on a small subset of the latent factors. As examples, in ratings data each movie is only described by a few genres; in text data each word is only applicable to a few topics; in genomics, each gene is active in only a few biological processes. We prove such sparse deep generative models are identifiable: with infinite data, the true model parameters can be learned. (In contrast, most deep generative models are not identifiable.) We empirically study the sparse VAE with both simulated and real data. We find that it recovers meaningful latent factors and has smaller heldout reconstruction error than related methods.
format Preprint
id arxiv_https___arxiv_org_abs_2110_10804
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Identifiable Deep Generative Models via Sparse Decoding
Moran, Gemma E.
Sridhar, Dhanya
Wang, Yixin
Blei, David M.
Machine Learning
Methodology
We develop the sparse VAE for unsupervised representation learning on high-dimensional data. The sparse VAE learns a set of latent factors (representations) which summarize the associations in the observed data features. The underlying model is sparse in that each observed feature (i.e. each dimension of the data) depends on a small subset of the latent factors. As examples, in ratings data each movie is only described by a few genres; in text data each word is only applicable to a few topics; in genomics, each gene is active in only a few biological processes. We prove such sparse deep generative models are identifiable: with infinite data, the true model parameters can be learned. (In contrast, most deep generative models are not identifiable.) We empirically study the sparse VAE with both simulated and real data. We find that it recovers meaningful latent factors and has smaller heldout reconstruction error than related methods.
title Identifiable Deep Generative Models via Sparse Decoding
topic Machine Learning
Methodology
url https://arxiv.org/abs/2110.10804