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When designing variational autoencoders (VAEs) or other types of latent space models, the dimensionality of the latent space is typically defined upfront. In this process, it is possible that the number of dimensions is under- or…

Machine Learning · Computer Science 2021-04-14 Cedric De Boom , Samuel Wauthier , Tim Verbelen , Bart Dhoedt

Traditional Variational Autoencoders (VAEs) are constrained by the limitations of the Evidence Lower Bound (ELBO) formulation, particularly when utilizing simplistic, non-analytic, or unknown prior distributions. These limitations inhibit…

Machine Learning · Computer Science 2024-07-10 Fotios Lygerakis , Elmar Rueckert

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

Real world datasets often contain entries with missing elements e.g. in a medical dataset, a patient is unlikely to have taken all possible diagnostic tests. Variational Autoencoders (VAEs) are popular generative models often used for…

Machine Learning · Computer Science 2021-03-23 Mark Collier , Alfredo Nazabal , Christopher K. I. Williams

The central objective function of a variational autoencoder (VAE) is its variational lower bound (the ELBO). Here we show that for standard (i.e., Gaussian) VAEs the ELBO converges to a value given by the sum of three entropies: the…

Machine Learning · Statistics 2024-04-30 Simon Damm , Dennis Forster , Dmytro Velychko , Zhenwen Dai , Asja Fischer , Jörg Lücke

Variational autoencoders (VAEs) have been used extensively to discover low-dimensional latent factors governing neural activity and animal behavior. However, without careful model selection, the uncovered latent factors may reflect noise in…

Machine Learning · Computer Science 2023-12-13 Julia Huiming Wang , Dexter Tsin , Tatiana Engel

Brittle optimization has been observed to adversely impact model likelihoods for regression and VAEs when simultaneously fitting neural network mappings from a (random) variable onto the mean and variance of a dependent Gaussian variable.…

Machine Learning · Computer Science 2020-11-02 Andrew Stirn , David A. Knowles

Denoising autoencoders (DAE) are trained to reconstruct their clean inputs with noise injected at the input level, while variational autoencoders (VAE) are trained with noise injected in their stochastic hidden layer, with a regularizer…

Machine Learning · Computer Science 2016-01-05 Daniel Jiwoong Im , Sungjin Ahn , Roland Memisevic , Yoshua Bengio

Diffusion autoencoders (DAEs) are typically formulated as a noise prediction model and trained with a linear-$\beta$ noise schedule that spends much of its sampling steps at high noise levels. Because high noise levels are associated with…

Computer Vision and Pattern Recognition · Computer Science 2025-05-01 Pramook Khungurn , Sukit Seripanitkarn , Phonphrm Thawatdamrongkit , Supasorn Suwajanakorn

Variational Autoencoder (VAE) is widely used as a generative model to approximate a model's posterior on latent variables by combining the amortized variational inference and deep neural networks. However, when paired with strong…

Machine Learning · Computer Science 2020-06-02 Qile Zhu , Jianlin Su , Wei Bi , Xiaojiang Liu , Xiyao Ma , Xiaolin Li , Dapeng Wu

One of the challenges in training generative models such as the variational auto encoder (VAE) is avoiding posterior collapse. When the generator has too much capacity, it is prone to ignoring latent code. This problem is exacerbated when…

Machine Learning · Computer Science 2019-10-30 Talip Ucar

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

Unnormalised latent variable models are a broad and flexible class of statistical models. However, learning their parameters from data is intractable, and few estimation techniques are currently available for such models. To increase the…

Machine Learning · Statistics 2019-02-26 Benjamin Rhodes , Michael Gutmann

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

Variational Autoencoders (VAEs) have been shown to be remarkably effective in recovering model latent spaces for several computer vision tasks. However, currently trained VAEs, for a number of reasons, seem to fall short in learning…

Machine Learning · Computer Science 2021-07-27 Chandrajit Bajaj , Avik Roy , Haoran Zhang

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

Recently, a generative variational autoencoder (VAE) has been proposed for speech enhancement to model speech statistics. However, this approach only uses clean speech in the training phase, making the estimation particularly sensitive to…

Audio and Speech Processing · Electrical Eng. & Systems 2021-05-18 Huajian Fang , Guillaume Carbajal , Stefan Wermter , Timo Gerkmann

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

This article addresses the challenge of learning effective regularizers for linear inverse problems. We analyze and compare several types of learned variational regularization against the theoretical benchmark of the optimal affine…

Numerical Analysis · Mathematics 2025-10-15 Sebastian Banert , Christoph Brauer , Dirk Lorenz , Lionel Tondji

We propose a new family of optimization criteria for variational auto-encoding models, generalizing the standard evidence lower bound. We provide conditions under which they recover the data distribution and learn latent features, and…

Machine Learning · Computer Science 2017-03-01 Shengjia Zhao , Jiaming Song , Stefano Ermon