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Variational Autoencoders (VAE) are popular generative models used to sample from complex data distributions. Despite their empirical success in various machine learning tasks, significant gaps remain in understanding their theoretical…

Machine Learning · Statistics 2025-12-23 Sobihan Surendran , Antoine Godichon-Baggioni , Sylvain Le Corff

This paper introduces a modified variational autoencoder (VAEs) that contains an additional neural network branch. The resulting branched VAE (BVAE) contributes a classification component based on the class labels to the total loss and…

Machine Learning · Computer Science 2024-01-08 Ahmed Salah , David Yevick

Elucidating the functional mechanisms of the primary visual cortex (V1) remains a fundamental challenge in systems neuroscience. Current computational models face two critical limitations, namely the challenge of cross-modal integration…

Neurons and Cognition · Quantitative Biology 2024-12-20 Yu Zhu , Bo Lei , Chunfeng Song , Wanli Ouyang , Shan Yu , Tiejun Huang

Variational autoencoders (VAEs) often suffer from posterior collapse, which is a phenomenon in which the learned latent space becomes uninformative. This is often related to the hyperparameter resembling the data variance. It can be shown…

Machine Learning · Computer Science 2022-08-23 Yuhta Takida , Wei-Hsiang Liao , Chieh-Hsin Lai , Toshimitsu Uesaka , Shusuke Takahashi , Yuki Mitsufuji

Variational Autoencoder (VAE) and its variations are classic generative models by learning a low-dimensional latent representation to satisfy some prior distribution (e.g., Gaussian distribution). Their advantages over GAN are that they can…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Cong Geng , Jia Wang , Li Chen , Zhiyong Gao

In just three years, Variational Autoencoders (VAEs) have emerged as one of the most popular approaches to unsupervised learning of complicated distributions. VAEs are appealing because they are built on top of standard function…

Machine Learning · Statistics 2021-01-05 Carl Doersch

Euclidean geometry has historically been the typical "workhorse" for machine learning applications due to its power and simplicity. However, it has recently been shown that geometric spaces with constant non-zero curvature improve…

Machine Learning · Computer Science 2020-02-14 Ondrej Skopek , Octavian-Eugen Ganea , Gary Bécigneul

The cosmic microwave background power spectra are a primary window into the early universe. However, achieving interpretable, likelihood-compatible compression and fast inference under weak model assumptions remains challenging. We propose…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-03 Tian-Yang Sun , Tian-Nuo Li , He Wang , Jing-Fei Zhang , Xin Zhang

Variational autoencoder (VAE) is a deep generative model for unsupervised learning, allowing to encode observations into the meaningful latent space. VAE is prone to catastrophic forgetting when tasks arrive sequentially, and only the data…

Machine Learning · Computer Science 2021-11-04 Anna Kuzina , Evgenii Egorov , Evgeny Burnaev

The Variational Autoencoder (VAE) is a powerful deep generative model that is now extensively used to represent high-dimensional complex data via a low-dimensional latent space learned in an unsupervised manner. In the original VAE model,…

Sound · Computer Science 2021-06-15 Xiaoyu Bie , Laurent Girin , Simon Leglaive , Thomas Hueber , Xavier Alameda-Pineda

We propose a variational autoencoder (VAE)-based model for building forward and inverse structure-property linkages, a problem of paramount importance in computational materials science. Our model systematically combines VAE with…

Machine Learning · Computer Science 2024-02-29 Avadhut Sardeshmukh , Sreedhar Reddy , BP Gautham , Pushpak Bhattacharyya

The variational autoencoder (VAE; Kingma, Welling (2014)) is a recently proposed generative model pairing a top-down generative network with a bottom-up recognition network which approximates posterior inference. It typically makes strong…

Machine Learning · Computer Science 2016-11-08 Yuri Burda , Roger Grosse , Ruslan Salakhutdinov

Variational Autoencoder (VAE)-based generative models offer flexible representation learning by incorporating meta-priors, general premises considered beneficial for downstream tasks. However, the incorporated meta-priors often involve…

Machine Learning · Computer Science 2023-02-27 Nao Nakagawa , Ren Togo , Takahiro Ogawa , Miki Haseyama

Variational autoencoders (VAEs) are powerful tools for learning latent representations of data used in a wide range of applications. In practice, VAEs usually require multiple training rounds to choose the amount of information the latent…

Machine Learning · Computer Science 2023-08-21 Juhan Bae , Michael R. Zhang , Michael Ruan , Eric Wang , So Hasegawa , Jimmy Ba , Roger Grosse

Deep probabilistic generative models have achieved incredible success in many fields of application. Among such models, variational autoencoders (VAEs) have proved their ability in modeling a generative process by learning a latent…

Machine Learning · Computer Science 2022-12-16 Eleonora Grassucci , Danilo Comminiello , Aurelio Uncini

Although the variational autoencoder (VAE) and its conditional extension (CVAE) are capable of state-of-the-art results across multiple domains, their precise behavior is still not fully understood, particularly in the context of data (like…

Machine Learning · Computer Science 2023-06-16 Yijia Zheng , Tong He , Yixuan Qiu , David Wipf

Posterior collapse plagues VAEs for text, especially for conditional text generation with strong autoregressive decoders. In this work, we address this problem in variational neural machine translation by explicitly promoting mutual…

Computation and Language · Computer Science 2019-09-23 Arya D. McCarthy , Xian Li , Jiatao Gu , Ning Dong

A new form of variational autoencoder (VAE) is developed, in which the joint distribution of data and codes is considered in two (symmetric) forms: ($i$) from observed data fed through the encoder to yield codes, and ($ii$) from latent…

Machine Learning · Computer Science 2017-11-21 Yunchen Pu , Weiyao Wang , Ricardo Henao , Liqun Chen , Zhe Gan , Chunyuan Li , Lawrence Carin

Variational autoencoders (VAEs), as an important aspect of generative models, have received a lot of research interests and reached many successful applications. However, it is always a challenge to achieve the consistency between the…

Machine Learning · Computer Science 2022-05-10 Xiaoyu Chen , Chen Gong , Qiang He , Xinwen Hou , Yu Liu

A new form of the variational autoencoder (VAE) is proposed, based on the symmetric Kullback-Leibler divergence. It is demonstrated that learning of the resulting symmetric VAE (sVAE) has close connections to previously developed…

Machine Learning · Statistics 2017-10-23 Liqun Chen , Shuyang Dai , Yunchen Pu , Chunyuan Li , Qinliang Su , Lawrence Carin
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