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The Variational Auto-Encoder (VAE) is a simple, efficient, and popular deep maximum likelihood model. Though usage of VAEs is widespread, the derivation of the VAE is not as widely understood. In this tutorial, we will provide an overview…

Machine Learning · Computer Science 2020-07-02 Ronald Yu

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

The latent variables learned by VAEs have seen considerable interest as an unsupervised way of extracting features, which can then be used for downstream tasks. There is a growing interest in the question of whether features learned on one…

Machine Learning · Computer Science 2020-05-13 Saeid Asgari Taghanaki , Mohammad Havaei , Alex Lamb , Aditya Sanghi , Ara Danielyan , Tonya Custis

Recent state-of-the-art autoencoder based generative models have an encoder-decoder structure and learn a latent representation with a pre-defined distribution that can be sampled from. Implementing the encoder networks of these models in a…

Machine Learning · Computer Science 2020-05-11 D. T. Braithwaite , M. O'Connor , W. B. Kleijn

Variational Autoencoders (VAEs) have experienced recent success as data-generating models by using simple architectures that do not require significant fine-tuning of hyperparameters. However, VAEs are known to suffer from…

Machine Learning · Statistics 2020-07-22 Wei Cheng , Gregory Darnell , Sohini Ramachandran , Lorin Crawford

While unsupervised variational autoencoders (VAE) have become a powerful tool in neuroimage analysis, their application to supervised learning is under-explored. We aim to close this gap by proposing a unified probabilistic model for…

Machine Learning · Computer Science 2019-07-15 Qingyu Zhao , Ehsan Adeli , Nicolas Honnorat , Tuo Leng , Kilian M. Pohl

It has been previously observed that training Variational Recurrent Autoencoders (VRAE) for text generation suffers from serious uninformative latent variables problem. The model would collapse into a plain language model that totally…

Computation and Language · Computer Science 2019-11-20 Dayiheng Liu , Xu Yang , Feng He , Yuanyuan Chen , Jiancheng Lv

Variational Autoencoders (VAEs), as a form of deep generative model, have been widely used in recent years, and shown great great peformance in a number of different domains, including image generation and anomaly detection, etc.. This…

Machine Learning · Computer Science 2024-08-28 Liang Cheng , Peiyuan Guan , Amir Taherkordi , Lei Liu , Dapeng Lan

Variational autoencoders (VAEs) typically encode images into a compact latent space, reducing computational cost but introducing an optimization dilemma: a higher-dimensional latent space improves reconstruction fidelity but often hampers…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Xunzhi Xiang , Xingye Tian , Guiyu Zhang , Yabo Chen , Shaofeng Zhang , Xuebo Wang , Xin Tao , Qi Fan

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

Deep convolutional neural networks (CNNs) have proven highly effective for visual recognition, where learning a universal representation from activations of convolutional layer plays a fundamental problem. In this paper, we present Fisher…

Computer Vision and Pattern Recognition · Computer Science 2016-11-30 Zhaofan Qiu , Ting Yao , Tao Mei

Regularized Auto-Encoders (RAEs) form a rich class of neural generative models. They effectively model the joint-distribution between the data and the latent space using an Encoder-Decoder combination, with regularization imposed in terms…

Machine Learning · Computer Science 2020-09-22 Arnab Kumar Mondal , Himanshu Asnani , Parag Singla , Prathosh AP

In this paper we demonstrate methods for reliable and efficient training of discrete representation using Vector-Quantized Variational Auto-Encoder models (VQ-VAEs). Discrete latent variable models have been shown to learn nontrivial…

The Variational Autoencoder (VAE) is a powerful architecture capable of representation learning and generative modeling. When it comes to learning interpretable (disentangled) representations, VAE and its variants show unparalleled…

Machine Learning · Computer Science 2019-04-17 Michal Rolinek , Dominik Zietlow , Georg Martius

Variational auto-encoders (VAE) are popular deep latent variable models which are trained by maximizing an Evidence Lower Bound (ELBO). To obtain tighter ELBO and hence better variational approximations, it has been proposed to use…

Machine Learning · Statistics 2021-07-22 Achille Thin , Nikita Kotelevskii , Arnaud Doucet , Alain Durmus , Eric Moulines , Maxim Panov

We claim that a source of severe failures for Variational Auto-Encoders is the choice of the distribution class used for the observation model.A first theoretical and experimental contribution of the paper is to establish that even in the…

Machine Learning · Computer Science 2020-03-05 Michele Sebag , Victor Berger , Michèle Sebag

Unsupervised representation learning holds the promise of exploiting large amounts of unlabeled data to learn general representations. A promising technique for unsupervised learning is the framework of Variational Auto-encoders (VAEs).…

Computer Vision and Pattern Recognition · Computer Science 2020-04-09 Kamal Gupta , Saurabh Singh , Abhinav Shrivastava

In this tutorial, we explore Variational Autoencoders (VAEs), an essential framework for unsupervised learning, particularly suited for high-dimensional datasets such as neuroimaging. By integrating deep learning with Bayesian inference,…

Image and Video Processing · Electrical Eng. & Systems 2025-01-15 C. Vázquez-García , F. J. Martínez-Murcia , F. Segovia Román , Juan M. Górriz Sáez

Latent generative models have emerged as a leading approach for high-quality image synthesis. These models rely on an autoencoder to compress images into a latent space, followed by a generative model to learn the latent distribution. We…

Machine Learning · Computer Science 2025-08-05 Theodoros Kouzelis , Ioannis Kakogeorgiou , Spyros Gidaris , Nikos Komodakis

Building a scalable machine learning system for unsupervised anomaly detection via representation learning is highly desirable. One of the prevalent methods is using a reconstruction error from variational autoencoder (VAE) via maximizing…

Machine Learning · Computer Science 2020-05-08 Seonho Park , George Adosoglou , Panos M. Pardalos