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Variational autoencoders (VAEs) are a popular class of deep generative models with many variants and a wide range of applications. Improvements upon the standard VAE mostly focus on the modelling of the posterior distribution over the…

Machine Learning · Computer Science 2022-11-02 James Langley , Miguel Monteiro , Charles Jones , Nick Pawlowski , Ben Glocker

Recent advances in deep learning have shown their ability to learn strong feature representations for images. The task of image clustering naturally requires good feature representations to capture the distribution of the data and…

Computer Vision and Pattern Recognition · Computer Science 2020-05-12 Vignesh Prasad , Dipanjan Das , Brojeshwar Bhowmick

Machine learning methods often need a large amount of labeled training data. Since the training data is assumed to be the ground truth, outliers can severely degrade learned representations and performance of trained models. Here we apply…

Machine Learning · Statistics 2019-12-24 Haleh Akrami , Anand A. Joshi , Jian Li , Sergul Aydore , Richard M. Leahy

Variational Autoencoders (VAEs) represent the given data in a low-dimensional latent space, which is generally assumed to be Euclidean. This assumption naturally leads to the common choice of a standard Gaussian prior over continuous latent…

Machine Learning · Computer Science 2020-08-10 Dimitris Kalatzis , David Eklund , Georgios Arvanitidis , Søren Hauberg

Variational Autoencoders (VAEs) typically rely on a probabilistic decoder with a predefined likelihood, most commonly an isotropic Gaussian, to model the data conditional on latent variables. While convenient for optimization, this choice…

Machine Learning · Statistics 2025-04-29 Chen Xu , Qiang Wang , Lijun Sun

We present Ordinary Differential Equation Variational Auto-Encoder (ODE$^2$VAE), a latent second order ODE model for high-dimensional sequential data. Leveraging the advances in deep generative models, ODE$^2$VAE can simultaneously learn…

Machine Learning · Statistics 2019-10-25 Çağatay Yıldız , Markus Heinonen , Harri Lähdesmäki

Variational autoencoders (VAEs) are a powerful class of deep generative latent variable model for unsupervised representation learning on high-dimensional data. To ensure computational tractability, VAEs are often implemented with a…

Machine Learning · Computer Science 2020-06-09 Alex Campbell , Pietro Liò

Variational autoencoders (VAEs) are powerful generative models with the salient ability to perform inference. Here, we introduce a quantum variational autoencoder (QVAE): a VAE whose latent generative process is implemented as a quantum…

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

Learning latent representations that are simultaneously expressive, geometrically well-structured, and reliably calibrated remains a central challenge for Variational Autoencoders (VAEs). Standard VAEs typically assume a diagonal Gaussian…

Machine Learning · Computer Science 2025-12-02 Mehmet Can Yavuz

With the increasingly widespread deployment of generative models, there is a mounting need for a deeper understanding of their behaviors and limitations. In this paper, we expose the limitations of Variational Autoencoders (VAEs), which…

Machine Learning · Statistics 2019-06-12 Mihaela Rosca , Balaji Lakshminarayanan , Shakir Mohamed

Missing data persists as a major barrier to data analysis across numerous applications. Recently, deep generative models have been used for imputation of missing data, motivated by their ability to capture highly non-linear and complex…

Machine Learning · Statistics 2022-10-03 Breeshey Roskams-Hieter , Jude Wells , Sara Wade

A key advance in learning generative models is the use of amortized inference distributions that are jointly trained with the models. We find that existing training objectives for variational autoencoders can lead to inaccurate amortized…

Machine Learning · Computer Science 2018-05-31 Shengjia Zhao , Jiaming Song , Stefano Ermon

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

An important task in quantum generative machine learning is to model the probability distribution of measurements of many-body quantum systems. Classical generative models, such as generative adversarial networks (GANs) and variational…

Quantum Physics · Physics 2023-05-19 Anantha Rao , Dhiraj Madan , Anupama Ray , Dhinakaran Vinayagamurthy , M. S. Santhanam

Materials informatics (MI), which uses artificial intelligence and data analysis techniques to improve the efficiency of materials development, is attracting increasing interest from industry. One of its main applications is the rapid…

Machine Learning · Computer Science 2023-02-07 Yoshihiro Osakabe , Akinori Asahara

Density estimation, compression and data generation are crucial tasks in artificial intelligence. Variational Auto-Encoders (VAEs) constitute a single framework to achieve these goals. Here, we present a novel class of generative models,…

Machine Learning · Statistics 2021-07-07 Ioannis Gatopoulos , Jakub M. Tomczak

Variational autoencoder (VAE) neural networks can be trained to generate power system states that capture both marginal distribution and multivariate dependencies of historical data. The coordinates of the latent space codes of VAEs have…

Systems and Control · Electrical Eng. & Systems 2023-03-22 Chenguang Wang , Ensieh Sharifnia , Simon H. Tindemans , Peter Palensky

Variational autoencoder (VAE) is a very successful generative model whose key element is the so called amortized inference network, which can perform test time inference using a single feed forward pass. Unfortunately, this comes at the…

Machine Learning · Computer Science 2021-02-08 Minyoung Kim , Vladimir Pavlovic

Recently there has been an increased interest in unsupervised learning of disentangled representations using the Variational Autoencoder (VAE) framework. Most of the existing work has focused largely on modifying the variational cost…

Machine Learning · Statistics 2019-09-12 Jan Stühmer , Richard E. Turner , Sebastian Nowozin