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Variational Auto-encoders (VAEs) have been very successful as methods for forming compressed latent representations of complex, often high-dimensional, data. In this paper, we derive an alternative variational lower bound from the one…

Machine Learning · Computer Science 2019-03-20 Shuyu Lin , Ronald Clark , Robert Birke , Niki Trigoni , Stephen Roberts

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 Autoencoder (VAE) is a powerful method for learning representations of high-dimensional data. However, VAEs can suffer from an issue known as latent variable collapse (or KL loss vanishing), where the posterior collapses to the…

Computation and Language · Computer Science 2019-11-14 Ruizhe Li , Xiao Li , Chenghua Lin , Matthew Collinson , Rui Mao

Estimation of uncertainty in deep learning models is of vital importance, especially in medical imaging, where reliance on inference without taking into account uncertainty could lead to misdiagnosis. Recently, the probabilistic Variational…

Machine Learning · Computer Science 2020-10-20 Haleh Akrami , Anand A. Joshi , Sergul Aydore , Richard M. Leahy

Variational autoencoders are widely used for unsupervised anomaly detection. Model selection however remains an open-question: to remain fully unsupervised, hyperparameters are often chosen to minimize the reconstruction error on normal…

Machine Learning · Computer Science 2026-05-06 Agathe Senellart , Maëlys Solal , Stéphanie Allassonnière , Ninon Burgos

Objective: This paper investigates how generative models, trained on ground-truth images, can be used \changes{as} priors for inverse problems, penalizing reconstructions far from images the generator can produce. The aim is that learned…

Image and Video Processing · Electrical Eng. & Systems 2023-08-07 Margaret Duff , Ivor J. A. Simpson , Matthias J. Ehrhardt , Neill D. F. Campbell

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

The importance of Variational Autoencoders reaches far beyond standalone generative models -- the approach is also used for learning latent representations and can be generalized to semi-supervised learning. This requires a thorough…

Machine Learning · Computer Science 2022-04-12 Alexander Shekhovtsov , Dmitrij Schlesinger , Boris Flach

In recent years Variation Autoencoders have become one of the most popular unsupervised learning of complicated distributions.Variational Autoencoder (VAE) provides more efficient reconstructive performance over a traditional autoencoder.…

Machine Learning · Statistics 2017-07-12 Gautam Ramachandra

Autoencoders and their variations provide unsupervised models for learning low-dimensional representations for downstream tasks. Without proper regularization, autoencoder models are susceptible to the overfitting problem and the so-called…

Machine Learning · Computer Science 2020-01-23 Hanwei Wu , Markus Flierl

Variational Autoencoders (VAEs) are powerful generative models, however their generated samples are known to suffer from a characteristic blurriness, as compared to the outputs of alternative generating techniques. Extensive research…

Image and Video Processing · Electrical Eng. & Systems 2024-01-09 Vibhu Dalal

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

Variational Auto-Encoders (VAEs) have become very popular techniques to perform inference and learning in latent variable models as they allow us to leverage the rich representational power of neural networks to obtain flexible…

Machine Learning · Computer Science 2018-11-26 Anthony L. Caterini , Arnaud Doucet , Dino Sejdinovic

Bayesian Neural Networks (BNNs) are trained to optimize an entire distribution over their weights instead of a single set, having significant advantages in terms of, e.g., interpretability, multi-task learning, and calibration. Because of…

Machine Learning · Computer Science 2022-10-07 Jary Pomponi , Simone Scardapane , Aurelio Uncini

We provide theoretical and empirical evidence that using tighter evidence lower bounds (ELBOs) can be detrimental to the process of learning an inference network by reducing the signal-to-noise ratio of the gradient estimator. Our results…

Machine Learning · Statistics 2019-03-07 Tom Rainforth , Adam R. Kosiorek , Tuan Anh Le , Chris J. Maddison , Maximilian Igl , Frank Wood , Yee Whye Teh

The Evidence Lower Bound (ELBO) is a quantity that plays a key role in variational inference. It can also be used as a criterion in model selection. However, though extremely popular in practice in the variational Bayes community, there has…

Statistics Theory · Mathematics 2019-04-09 Badr-Eddine Chérief-Abdellatif

Variational autoencoders (VAEs) are one of the powerful likelihood-based generative models with applications in many domains. However, they struggle to generate high-quality images, especially when samples are obtained from the prior…

Machine Learning · Computer Science 2021-11-05 Jyoti Aneja , Alexander Schwing , Jan Kautz , Arash Vahdat

Decomposition of the evidence lower bound (ELBO) objective of VAE used for density estimation revealed the deficiency of VAE for representation learning and suggested ways to improve the model. In this paper, we investigate whether we can…

Machine Learning · Computer Science 2022-11-22 Fahim Faisal Niloy , M. Ashraful Amin , AKM Mahbubur Rahman , Amin Ahsan Ali

We present new intuitions and theoretical assessments of the emergence of disentangled representation in variational autoencoders. Taking a rate-distortion theory perspective, we show the circumstances under which representations aligned…

Variational Autoencoder (VAE), a simple and effective deep generative model, has led to a number of impressive empirical successes and spawned many advanced variants and theoretical investigations. However, recent studies demonstrate that,…

Machine Learning · Computer Science 2019-01-08 Xuezhe Ma , Chunting Zhou , Eduard Hovy