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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence / EAAI-20

Variational Autoencoder with Implicit Optimal Priors

February 1, 2023

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Authors

Hiroshi Takahashi

NTT


Tomoharu Iwata

NTT


Yuki Yamanaka

NTT


Masanori Yamada

NTT


Satoshi Yagi

NTT


DOI:

10.1609/aaai.v33i01.33015066


Abstract:

The variational autoencoder (VAE) is a powerful generative model that can estimate the probability of a data point by using latent variables. In the VAE, the posterior of the latent variable given the data point is regularized by the prior of the latent variable using Kullback Leibler (KL) divergence. Although the standard Gaussian distribution is usually used for the prior, this simple prior incurs over-regularization. As a sophisticated prior, the aggregated posterior has been introduced, which is the expectation of the posterior over the data distribution. This prior is optimal for the VAE in terms of maximizing the training objective function. However, KL divergence with the aggregated posterior cannot be calculated in a closed form, which prevents us from using this optimal prior. With the proposed method, we introduce the density ratio trick to estimate this KL divergence without modeling the aggregated posterior explicitly. Since the density ratio trick does not work well in high dimensions, we rewrite this KL divergence that contains the high-dimensional density ratio into the sum of the analytically calculable term and the lowdimensional density ratio term, to which the density ratio trick is applied. Experiments on various datasets show that the VAE with this implicit optimal prior achieves high density estimation performance.

Topics: AAAI

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HOW TO CITE:

Hiroshi Takahashi||Tomoharu Iwata||Yuki Yamanaka||Masanori Yamada||Satoshi Yagi Variational Autoencoder with Implicit Optimal Priors Proceedings of the AAAI Conference on Artificial Intelligence (2019) 5066-5073.

Hiroshi Takahashi||Tomoharu Iwata||Yuki Yamanaka||Masanori Yamada||Satoshi Yagi Variational Autoencoder with Implicit Optimal Priors AAAI 2019, 5066-5073.

Hiroshi Takahashi||Tomoharu Iwata||Yuki Yamanaka||Masanori Yamada||Satoshi Yagi (2019). Variational Autoencoder with Implicit Optimal Priors. Proceedings of the AAAI Conference on Artificial Intelligence, 5066-5073.

Hiroshi Takahashi||Tomoharu Iwata||Yuki Yamanaka||Masanori Yamada||Satoshi Yagi. Variational Autoencoder with Implicit Optimal Priors. Proceedings of the AAAI Conference on Artificial Intelligence 2019 p.5066-5073.

Hiroshi Takahashi||Tomoharu Iwata||Yuki Yamanaka||Masanori Yamada||Satoshi Yagi. 2019. Variational Autoencoder with Implicit Optimal Priors. "Proceedings of the AAAI Conference on Artificial Intelligence". 5066-5073.

Hiroshi Takahashi||Tomoharu Iwata||Yuki Yamanaka||Masanori Yamada||Satoshi Yagi. (2019) "Variational Autoencoder with Implicit Optimal Priors", Proceedings of the AAAI Conference on Artificial Intelligence, p.5066-5073

Hiroshi Takahashi||Tomoharu Iwata||Yuki Yamanaka||Masanori Yamada||Satoshi Yagi, "Variational Autoencoder with Implicit Optimal Priors", AAAI, p.5066-5073, 2019.

Hiroshi Takahashi||Tomoharu Iwata||Yuki Yamanaka||Masanori Yamada||Satoshi Yagi. "Variational Autoencoder with Implicit Optimal Priors". Proceedings of the AAAI Conference on Artificial Intelligence, 2019, p.5066-5073.

Hiroshi Takahashi||Tomoharu Iwata||Yuki Yamanaka||Masanori Yamada||Satoshi Yagi. "Variational Autoencoder with Implicit Optimal Priors". Proceedings of the AAAI Conference on Artificial Intelligence, (2019): 5066-5073.

Hiroshi Takahashi||Tomoharu Iwata||Yuki Yamanaka||Masanori Yamada||Satoshi Yagi. Variational Autoencoder with Implicit Optimal Priors. AAAI[Internet]. 2019[cited 2023]; 5066-5073.


ISSN: 2374-3468


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