Addressing Posterior Collapse in Variational Autoencoders with β-VAE

Authors

  • Ziyang Wang

DOI:

https://doi.org/10.54097/hset.v57i.9995

Keywords:

Variational autoencoder, Posterior collapse, β-VAE.

Abstract

Posterior collapse is a pervasive issue in Variational Autoencoders (VAEs) that leads to the learned latent representations becoming trivial and devoid of meaningful information. To address this problem, this paper presents a novel β-VAE approach, which incorporates a hyperparameter β to strike an optimal balance between the reconstruction loss and the KL divergence loss. By conducting a comprehensive series of experiments and drawing comparisons with existing methods, robust evidence is provided that the proposed β-VAE method effectively mitigates posterior collapse and yields more expressive and informative latent representations.The experimental setup involves various architectures and datasets to demonstrate the versatility and efficacy of the β-VAE approach in diverse settings. Additionally, ablation studies are performed to investigate the impact of different β values on the model's performance, elucidating the role of this hyperparameter in controlling the trade-off between reconstruction quality and latent representation expressiveness. Furthermore, the disentanglement properties of the learned latent space are analyzed, which is a crucial aspect of VAEs, especially when applied to complex, real-world data.In-depth analysis of the results offers valuable insights into the underlying mechanisms of β-VAE, thereby contributing to a more profound understanding of VAEs and their inherent limitations. The findings not only establish the effectiveness of the β-VAE method in preventing posterior collapse but also pave the way for future research on improving VAEs' performance in various applications. Potential future work could explore alternative techniques for balancing the competing objectives of reconstruction and latent representation learning or delve into the theoretical properties of β-VAE, providing a more rigorous foundation for this approach.

Downloads

Download data is not yet available.

References

Doersch, C. "Tutorial on Variational Autoencoders." arXiv, Jan. 03, 2021. Accessed: Apr. 03, 2023. [Online]. Available: http://arxiv.org/abs/1606.05908

Desai, C., Freeman, Z., Wang, Z., & Beaver, I. "TimeVAE: A Variational Auto-Encoder for Multivariate Time Series Generation." arXiv, Dec. 07, 2021. Accessed: Apr. 03, 2023. [Online]. Available: http://arxiv.org/abs/2111.08095

Havrylov, S., & Titov, I. "Preventing Posterior Collapse with Levenshtein Variational Autoencoder." arXiv, Apr. 30, 2020. Accessed: Apr. 03, 2023. [Online]. Available: http://arxiv.org/abs/2004.14758

Kingma, D. P., & Welling, M. "Auto-Encoding Variational Bayes." arXiv, Dec. 10, 2022. Accessed: Apr. 03, 2023. [Online]. Available: http://arxiv.org/abs/1312.6114

Asperti, A., Evangelista, D., & Piccolomini, E. L. "A Survey on Variational Autoencoders from a Green AI Perspective." SN Computer Science, 2021.

Sicks, R., Korn, R., & Schwaar, S. "A Generalised Linear Model Framework for β-Variational Autoencoders based on Exponential Dispersion Families." arXiv, Oct. 11, 2021. Accessed: Apr. 03, 2023. [Online]. Available: http://arxiv.org/abs/2006.06267

Kuzina, A., & Tomczak, J. M. "Analyzing the Posterior Collapse in Hierarchical Variational Autoencoders." arXiv, Feb. 20, 2023. Accessed: Apr. 03, 2023. [Online]. Available: http://arxiv.org/abs/2302.09976

Seybold, B., Fertig, E., Alemi, A., & Fischer, I. "Dueling Decoders: Regularizing Variational Autoencoder Latent Spaces." arXiv, May 17, 2019. Accessed: Apr. 03, 2023. [Online]. Available: http://arxiv.org/abs/1905.07478

He, J., Spokoyny, D., Neubig, G., & Berg-Kirkpatrick, T. "Lagging Inference Networks and Posterior Collapse in Variational Autoencoders." arXiv, Jan. 28, 2019. Accessed: Apr. 03, 2023. [Online]. Available: http://arxiv.org/abs/1901.05534

Lucas, J., Tucker, G., Grosse, R., & Norouzi, M. "Don’t Blame the ELBO! A Linear VAE Perspective on Posterior Collapse." arXiv, Nov. 06, 2019. Accessed: Apr. 03, 2023. [Online]. Available: http://arxiv.org/abs/1911.02469

Kingma, D. P., & Welling, M. "An Introduction to Variational Autoencoders." FNT in Machine Learning, vol. 12, no. 4, pp. 307-392, 2019, doi: 10.1561/2200000056

Jang, E., Gu, S., & Poole, B. "Categorical Reparameterization with Gumbel-Softmax." arXiv, Aug. 05, 2017. Accessed: Apr. 03, 2023. [Online]. Available: http://arxiv.org/abs/1611.01144

Asperti, A., Evangelista, D., & Piccolomini, E. L. "A Survey on Variational Autoencoders from a Green AI Perspective." SN Computer Science, 2021.

Downloads

Published

11-07-2023

How to Cite

Wang, Z. (2023). Addressing Posterior Collapse in Variational Autoencoders with β-VAE. Highlights in Science, Engineering and Technology, 57, 161-167. https://doi.org/10.54097/hset.v57i.9995